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The Mathematics Department at Western Oregon University is committed to the teaching of mathematics and the communication of mathematical ideas. Faculty members believe that both the assimilation of mathematical knowledge and the enhancement of one's capacity for mathematical reasoning are essential outcomes of a liberal arts education.
LEARNING OUTCOMES
Develop problem solving, modeling and technological skills.
Make rigorous mathematical arguments and work with axiomatic systems.
Effectively communicate, both in writing and orally, mathematical and logical arguments and concepts.
EXTENDED LEARNING OUTCOMES FOR MAJORS AND MINORS
Students will demonstrate:
Mathematical Knowledge - mastery of a body of mathematics.
Problem Solving Skills - the ability to analyze complicated problems in a variety of subject areas, and to synthesize solutions to such problems.
Modeling Skills - the ability to translate various real-world scenarios into mathematical models.
Technological Skills - the ability to properly determine and effectively use computing tools and other technologies to solve problems and support conjectures.
Skilled use of Methods of Proof - the ability to make rigorous mathematical arguments including how to both prove and disprove conjectures. Including working with axiomatic systems - the ability to determine if given examples satisfy the given axioms and the ability to demonstrate logical consequences of those axioms.
Communication Skills - the ability to precisely articulate (both in writing and orally) complicated and technical arguments. These can be both mathematical and logical.
Subject Awareness - an awareness of the distinction between applied and theoretical mathematics, an appreciation of the connection between the two fields, and a reasonable perception of the breadth of each field.
Career Awareness - an awareness of the career and educational opportunities for mathematics majors; this many include internship and undergraduate research experiences.
Problem Solving and Problem Writing Skills - the ability to create and understand complicated situations, which are applications of K-8 mathematical topics and to apply learned skills and techniques to resolve them.
Ability to Model Problems - the ability to translate various real-world scenarios into mathematical models that can be explored by hands-on models, paper-and-pencil methods and technological applications where appropriate.
Communication Skills - Ability to precisely articulate (both in writing and orally) K - 8 mathematical topics in a way that is clear and understandable to elementary and middle school students.
Effective Classroom Management - Appreciation of a variety of pedagogical approaches and knowledge of an assortment of presentation and classroom working environments to effectively support the learning of mathematics for students with diverse learning styles. | 677.169 | 1 |
978-0-534-35949-2 / 9780534359492
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The calculus instruction is for the student to understand the basic ideas. This text aims to support such a goal while motivating students through the use of real-world applications, building the essential mathematical reasoning skills, and helping them develop an appreciation and enthusiasm for calculusBerkeley19books via United States
Hardcover, ISBN 0534359493 Publisher: Brooks/Cole Pub Co, 1999 Usually ships in 1-2 business days, Completely new with no writing. I took notes separately in another notebooks. This book helps me score a 5 on my AP exam and got accepted into UC Berkeley and UCLA recently!
Hardcover, ISBN 0534359493 Publisher: Brooks/Cole, 1999 UNUSED, GOOD, NOT EX-LIBRARY, Hurt, 1315 pages. The...(JAMES STEWART, CALCULUS: COMBINED SINGLE AND MULTIVARIABLE: CONCEPTS CONTEXTS, BROOKS COLE, 0534359493, UK-15085270ZZH329TOL, CALCULUS, CALCULUS & MATHEMATICAL ANALYSIS, SCIENCE MATHEMATICS, MATHEMATICS)
Hardcover, ISBN 0534359493 Publisher: Brooks/Cole Pub Co34359493 Publisher: Brooks/Cole Pub Co, 1999 Used - Poor. WATER DAMAGE. Standard shipping arrives within 6-8 business days. This item does not include any CDs, Infotracs, Access cards or other supplementary material. | 677.169 | 1 |
Karoubi 's classic K-Theory, An Introduction is to provide advanced students and mathematicians in other fields with the fundamental material in this subject . K-Theory, An Introduction is a phenomenally attractive book: a fantastic introduction and then some. serve as a fundamental reference and source of instruction for outsiders who would be... more...
Having trouble understanding algebra? Do algebraic concepts, equations, and logic just make your head spin? We have great news: Head First Algebra is designed for you. Full of engaging stories and practical, real-world explanations, this book will help you learn everything from natural numbers and exponents to solving systems of equations and graphing... more...
Just the facts (and figures) to understanding algebra.
The Complete Idiot's Guide® to Algebra has been updated to include easier-to-read graphs and additional practice problems. It covers variationsof standard problems that will assist students with their algebra courses, along with all the basic concepts, including linear equations and inequalities,... more...
This book provides the first English translation of Bezout's masterpiece, the General Theory of Algebraic Equations . It follows, by almost two hundred years, the English translation of his famous mathematics textbooks. Here, Bézout presents his approach to solving systems of polynomial equations in several variables and in great detail. He introduces... more... | 677.169 | 1 |
Matrix Methods: Applied Linear Algebra, 3e, as a textbook, provides a unique and comprehensive balance between the theory and computation of matrices. The application of matrices is not just for mathematicians. The use by other disciplines has grown dramatically over the years in response to the rapid changes in technology. Matrix methods is the essence of linear algebra and is what is used to help physical scientists; chemists, physicists, engineers, statisticians, and economists solve real world problems.
The first textbook on mathematical methods focusing on techniques for optical science and engineering. Ideal for upper division undergraduates and graduates. Strong emphasis is placed on connecting mathematical concepts to optical systems. Essay problems based on research publications and numerous exercises strengthen the connection between the theory and its applications | 677.169 | 1 |
your'In this book you find the basic mathematics that is needed by engineers and university students . The author will help you...
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'In this book you find the basic mathematics that is needed by engineers and university students . The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that.Topics as Elementary probability calculus, density functions and stochastic processes are illustrated.This book requires knowledge of Calculus 1 and Calculus 2 - Probability Examples c-1 to your Bookmark Collection or Course ePortfolio
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Free Excel add-in for linear regression and multivariate data analysis which offers presentation-quality graphics and support for good analytical practices, especially data and model visualization, tests of model assumptions, appropriate use of transformed variables in linear models, intelligent formatting of tables and charts, keeping a detailed and well-organized audit trail, and uniquely identifying the user who performed the analysis. It provides a good complement, if not a substitute, for commercial statistical software as far as linear regression modeling and descriptive analysis are concerned. It was developed in a university teaching environment but is also intended for professionalressIt -- free Excel add-in for regression and data analysis to your Bookmark Collection or Course ePortfolio
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'From the MAA review of this book: "The discussions and explanations are succinct and to the point, in a way that pleases...
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'From the MAA review of this book: "The discussions and explanations are succinct and to the point, in a way that pleases mathematicians who don't like calculus books to go on and on." There are eleven chapters beginning with analytic geometry and ending with sequences and series. The book covers the standard material in a one variable calculus course for science and engineering. The size of the book is such that an instructor does not have to skip sections in order to fit the material into the typical course schedule. There are sufficiently many exercises at the end of each sections, but not as many as the much bigger commercial texts. Some students and instructors may want to use something like a Schaum's outline for additional - Early Transcendentals to your Bookmark Collection or Course ePortfolio
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'״Dynamical Systems with Applications using MATLAB 2nd Edition" covers standard material for an introduction to dynamical...
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'״Dynamical Systems with Applications using MATLAB 2nd Edition" covers standard material for an introduction to dynamical systems theory. The text deals with both discrete and continuous systems. There are applications in computing, mechanical systems, chemical kinetics, electric circuits, interacting species, economics, nonlinear optics, biology, neural networks and materials science, for example. These MATLAB programs have been written to supplement the textbook, and give the reader a real hands-on experience. The text is aimed at senior undergraduates, graduate students, and working scientists in industry Dynamical Systems with Applications using MATLAB to your Bookmark Collection or Course ePortfolio
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'This course of 25 lectures, filmed at Cornell University in Spring 2014, is intended for newcomers to nonlinear dynamics and...
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'This course of 25 lectures, filmed at Cornell University in Spring 2014, is intended for newcomers to nonlinear dynamics and chaos. It closely follows Prof. Strogatz's book, "Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering.״ The mathematical treatment is friendly and informal, but still careful. Analytical methods, concrete examples, and geometric intuition are stressed A unique feature of the course is its emphasis on applications. These include airplane wing vibrations, biological rhythms, insect outbreaks, chemical oscillators, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory. The theoretical work is enlivened by frequent use of computer graphics, simulations, and videotaped demonstrations of nonlinear phenomena.The essential prerequisite is single-variable calculus, including curve sketching, Taylor series, and separable differential equations. In a few places, multivariable calculus (partial derivatives, Jacobian matrix, divergence theorem) and linear algebra (eigenvalues and eigenvectors) are used. Fourier analysis is not assumed, and is developed where needed. Introductory physics is used throughout. Other scientific prerequisites would depend on the applications considered, but in all cases, a first course should be adequate preparation'This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the...
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'This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples and geometric intuitionA unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory.Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or first-year graduate level. It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics.'
Pick a Bookmark Collection or Course ePortfolio to put this material in or scroll to the bottomThis video was recorded at Stanford Engineering Everywhere EE364A - Convex Optimization I. So in pure statistics there's...
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This video was recorded at Stanford Engineering Everywhere EE364A - Convex Optimization I. So in pure statistics there's just parameterized probability distributions and we have a parameter X and your job, you get one or more samples from one of these distributions and you're charge is to say something intelligent about which distribution, which is to say which parameter value, generated the sample. So that's statistics. So a standard technique is maximum likelihood estimations. In maximum likelihood estimation you do the following. You have an observation Y and you look at the density of the – you look at the density at Y or probability distribution if it's a distribution on like – if its got different points on atomic points. ... See the whole transcript at Convex Optimization I - Lecture 11 Statistical Estimation to your Bookmark Collection or Course ePortfolio
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Product Description
Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. PACE 1090 covers the Pythagorean Theorem, calculating square roots, and finding the length of the hypotenuse | 677.169 | 1 |
VSB Math
The Mathematics VSB Course will discuss topics in Algebra. The first lesson will lay the groundwork for all succeeding lessons, by familiarizing the user with definitions and notations that will be used throughout the course | 677.169 | 1 |
1576855953
9781576855959
Details about Algebra II:
This is a third edition of one of our best-selling titles. A wonderful introduction or refresher course in basic Algebra. This offers 20 simple lessons that promote quick but thorough learning of practical, essential skills. There is an emphasis on the applicability of algebra skills to real-world and real-work problems. Also includes a FREE online link to more practice exercises that are instantly scored.
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Rent Algebra II 1st edition today, or search our site for textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by LearningExpress, LLC. | 677.169 | 1 |
Elementary Education
Mathematics for Elementary Teaching II
Class Level: Junior
Credits: 2
Department: Education
Term:
Description: This course is the second foundational course in the mathematics content area for elementary education majors. It includes exploration of our number system including properties, basic operations and algorithms, probability, statistics, measurement, coordinate geometry, graphs, and 2- and 3-dimensional geometry. Problem solving is stressed in each unit. The NCTM Principles and Standards and Indiana's Academic Standards for Mathematics are introduced. Prerequisite: MAT 323. Taken concurrently with EDE 337, EDE 345, EDE 366, and EFE 385. Additional prerequisite: 2.50 GPA and admission to the teacher education program. Spring, | 677.169 | 1 |
Proofs Without Words II: More Exercises in Visual Thinking
By Roger B. Nelsen
Like its predecessor Proofs Without Words, published by the MAA in 1993, this book is a collection of pictures or diagrams that help the reader see why a particular mathematical statement may be true, and also to see how one might begin to go about proving it true. The emphasis is on providing visual clues to the observer to stimulate mathematical thought.
Table of Contents
About the Author
Roger Nelsen received his BA in mathematics from DePauw University in 1964 and his PhD in mathematics from Duke University in 1969. Roger was elected to Phi Beta Kappa and Sigma Xi, and taught mathematics and statistics at Lewis & Clark College in Portland, Oregon for 40 years before his retirement in 2009. His other books include: An Introductions to Copulas, Springer, 1999 (2nd ed. 2006); Proofs Without Words: Exercises in Visual Thinking, MAA, 1993; Math Made Visual: Creating Images for Understanding Mathematics (with Claudi Alsina), MAA, 2006; When Less is More: Visualizine Basic Inequalities (with Claudi Alsina), MAA, 2009; The Calculus Collection: A Resource for AP and Beyond (with Caren Diefenderfer, editors), MAA, 2010; and Charming Proofs: A Journey Into Elegant Mathematics (with Claudi Alsina), MAA, 2010.
MAA Review
Proofs Without Words II is a great resource for teachers. The variety of topics addressed makes it valuable at many levels, and is one of its strength. It is organized into chapters dealing with Geometry & Algebra, Trigonometry, Calculus & Analytic Geometry, Inequalities, Integer Sums, Infinite Series, Linear Algebra and other topics. Presented are theorems and statements which are proven mostly through the use of pictures. Continued... | 677.169 | 1 |
Where do you need math, square roots, or algebra?
Students often question whether they will need any math skills in real life. They probably recognize the need for simple math, such as addition, multiplication, fractions, and percents, but in middle school some students start wondering why even study certain concepts, such as square roots or integers. Then, in 8th or 9th grade, when they take algebra, many more teenagers start asking the age-old question, "Where will I ever need algebra?"
The answer is that you need algebra in any occupation that requires higher education, such as computer science, electronics, engineering, medicine (doctors), trade, commerce analysts, ALL scientists, etc. In short, if someone is even considering higher education, they should study algebra. You also need algebra to take your SAT test or GED.
Studying algebra also has a benefit of developing logical thinking and problem solving skills. Algebra can increase your intelligence! (Actually, studying any math topic — even elementary math — can do that, if it is presented and taught in such a manner as to develop a person's thinking.)
You can admit to your student(s) that many mathematical concepts studied in high school algebra, calculus, and beyond are not needed in every occupation. Geometry concepts are very useful though for just about everyone. You never know if you might build a house or a shed!
However, deciding to NOT study algebra presents a big problem, because most teens in middle school are not sure what they are going to do as adults. In that case, they are better off studying algebra and learning all the math they can so that they won't be stopped from a career because of not having studied it. There have been many students who have been bitterly disappointed when after high school they could not (at least not immediately) go into the field of study that interested them for lack of math skills.
And, even if students think they know what they want to be, how many times have young people changed their minds? Even we adults don't always know what kind of job or career changes are awaiting us. In times past, you could pretty well bank on either becoming a housewife (girl), or continuing in your father's occupation (boy). In today's world this is not so. Young people have more freedom in choosing - but the flipside of that is that they need to study a lot more to get a good education. Since they don't know all about their future, it's far better to study, even math.
To futher help students see how mathematics and algebra are used in real world, check the free sample worksheets from Make It Real Learning activity books. These books focus on answering the question, "When am I ever going to use this?" and use REAL-LIFE data in the problems.
Example: where do you need square roots?
Let's say your students wonder, "Why do I need to know how to calculate the square root of a number? Are square roots really needed in real life outside of math class?"
Here is one idea that showcases an important real-life application of square roots and at the same time lets students ponder where math is needed. This idea will work best after you have already taught the concept of square roots but have not yet touched on the Pythagorean theorem.
Draw a square on board or paper, and draw one diagonal into it. Make the sides of the square to be, say, 5 units. Then make the picture to be a right triangle by wiping out the two sides of square. Then ask students how to find the length of the longest side of the triangle.
The students probably can't find the length if they haven't studied the Pythagorean theorem yet — but that is part of the "game". Have you ever seen an advertisement where you couldn't tell what they were advertising? Then, in a few weeks the ad would change and reveal what it was all about. It makes you curious.
So, let them think about it for a few minutes (don't tell them the answer at first). Hopefully it will pique their interest. Soon you will probably study the Pythagorean theorem anyway, since it often follows square roots in the curriculum.
Then go on to the question: In what occupations or situations would you need to find the longest side of a right triangle if you know the two other sides? This can get them involved!
The answer is: in any kind of job that deals with triangles. For example, it is needful for carpenters, engineers, architects, construction workers, those who measure and mark land, artists, and designers.
One time I observed construction people who were measuring and marking on the ground where a building would go. They had the sides marked, and they had a tape measure to measure the diagonals, and they asked ME what the measure should be, because they couldn't quite remember how to do it. This diagonal check is to ensure that the building is really going to be a rectangle and not a trapezoid or some other shape.
Now, beyond this simple example, students need to understand the CONCEPT of a square root in order to understand other math concepts. Studying math is like building a block wall or a building: you need the blocks on the lower part so you can build on them, and if you leave holes, you can't build on the hole.
The concept of a square root is a prerequisite to, and ties in with, many other concepts in mathematics:
square root → 2nd degree equations → functions & graphing
square root → Pythagorean theorem → trigonometry
square root → fractional exponents → functions & graphing
square root → irrational numbers → real numbers
See also:
Comments
I've always hated math but I never thought it would keep me from getting a college education. I found it so difficult to pass that I just quit. I still haven't graduated...
You need math so you can graduate high school and go to college.
Em
What kind of math skills do you need to be a construction worker?
David Kutz
I feel construction workers would, first of all, need to know their geometry well, and everything about measuring, area, and volume.
Then, you would probably need good grasp of percentages and ratios. Maybe you're mixing concrete, and you need cement, sand, and water in a certain ratio.
And then, a construction worker probably needs to be able to do lots of mental math and to quickly calculate rough estimates for different dimensions, volumes, areas, the amount of materials, and prices, as well as know how to do the exact calculations.
Why do nurses study mathematics?
raizel magsalay
They need to understand the metric system well (milliliters, milligrams, kilograms, etc.). They need to know how to calculate the right amount of medicine to give. For example, if you need to give 5 mg of medicine per 10 kg of body weight, then how much would this patient need? Or, let's say 200 mg of medicine as a tablet is equivalent to certain amount of the same medicine in liquid form; then calculate how much is needed. They especially need to understand well decimal numbers and proportions.
I'm a bridge builder (carpenter) in San Diego, California who wishes I'd paid more attention in math class back when I was attending school. Every day now is a little bit of a math challenge. So in order to keep mt competitive edge in this high turn over industry I've desided to brush up on my math skills.
Adrian Chavira
What kind of maths do you need if you are a doctor? Is it the same as in nursing?
thanks
Andy
Medical doctors need a solid understanding of chemistry to understand the workings of the human body and how medicines work, and for that, they need to know math well. Doctors also need logical thinking and be able to understand scientific writing and reasoning, and good math skills are essential for that as well.
All in all, to-be doctors should study all possible math courses in high school: algebra, geometry, trig, calculus, statistics.
What jobs use the Pythagorean Theorem?
Nessa
Various kinds of engineers, architects, surveyors, carpenters and other construction specialists, machinists, etc. need the Pythagorean Theorem. Basically, if you need triangles when designing something, then you need the Pythagorean Theorem.
You'd be surprised at the level of mathematical expertise required in some "manual" jobs. I teach technical math at a community college, and constantly have students telling me they're using the trig and algebra concepts we're studying in class. One of the nicest things a student ever said to me is, "I do this stuff (meaning trig) in my machining class, but then I come here and I learn to understand it." When I taught technical math II, I was surprised at the sophistication of the course. Electrical technicians do lots of trig, vectors, complex numbers. The technical math sequence is not "easy". Never tell a student he won't need math in insert-profession-here. You just don't know | 677.169 | 1 |
Synopses & Reviews
Publisher Comments:
"Teach Yourself Algebra "is a great introduction for learners having no prior experience with this ancient branch of mathematics. It acquaints readers with algebra and its basic components, such as equations, exponents, and indices. Then, using many examples and exercises, it shows them how to solve equations of all kinds, including linear, simultaneous, and quadratic; determine simple sequences and progression; and plot graphical representations of quantities | 677.169 | 1 |
2. Matrix
● Data about many kinds of problems can often be
represented using a rectangular arrangement of values;
such an arrangement is called a matrix.
● A is a matrix with two rows and three columns.
● The dimensions of the matrix are the number of rows
and columns; here A is a 2 × 3 matrix.
● Elements of a matrix A are denoted by aij, where i is
the row number of the element in the matrix and j is
the column number.
● In the example matrix A, a23 = 8 because 8 is the
element in row 2, column 3, of A.
Section 4.6 Matrices 2
Monday, March 29, 2010
3. Example: Matrix
● The constraints of many problems are represented by
the system of linear equations, e.g.:
x + y = 70
24x + 14y = 1180
The solution is x = 20, y = 50 (you can easily check
that this is a solution).
● The matrix A is the matrix of coefficients for this
system of linear equations.
Section 4.6 Matrices 3
Monday, March 29, 2010
4. Matrix
● If X = Y, then x = 3, y = 6, z = 2, and w = 0.
● We will often be interested in square matrices, in which the
number of rows equals the number of columns.
● If A is an n × n square matrix, then the elements a11, a22, ... ,
ann form the main diagonal of the matrix.
● If the corresponding elements match when we think of
folding the matrix along the main diagonal, then the matrix
is symmetric about the main diagonal.
● In a symmetric matrix, aij = aji.
Section 4.6 Matrices 4
Monday, March 29, 2010
5. Matrix Operations
● Scalar multiplication calls for multiplying each entry
of a matrix by a fixed single number called a scalar.
The result is a matrix with the same dimensions as the
original matrix.
● The result of multiplying matrix A:
by the scalar r = 3 is:
Section 4.6 Matrices 5
Monday, March 29, 2010
6. Matrix Operations
● Addition of two matrices A and B is defined only
when A and B have the same dimensions; then it is
simply a matter of adding the corresponding elements.
● Formally, if A and B are both n × m matrices, then C
= A + B is an n × m matrix with entries cij = aij + bij:
Section 4.6 Matrices 6
Monday, March 29, 2010
8. Matrix Operations
● Matrix multiplication is computed as A times B and
denoted as A ⋅ B.
● Condition required for matrix multiplication: the
number of columns in A must equal the number of
rows in B. Thus we can compute A ⋅ B if A is an n × m
matrix and B is an m × p matrix. The result is an n × p
matrix.
● An entry in row i, column j of A ⋅ B is obtained by
multiplying elements in row i of A by the
corresponding elements in column j of B and adding
the results. Formally, A ⋅ B = C, where
Section 4.6 Matrices 8
Monday, March 29, 2010
9. Example: Matrix Multiplication
● To find A ⋅ B = C for the following matrices:
● Similarly, doing the same for the other row, C is:
Section 4.6 Matrices 9
Monday, March 29, 2010
10. Matrix Multiplication
● Compute A ⋅ B and B ⋅ A for the following matrices:
● Note that even if A and B have dimensions so that
both A ⋅ B and B ⋅ A are defined, A ⋅ B need not equal
B ⋅ A.
Section 4.6 Matrices 10
Monday, March 29, 2010
11. Matrix Multiplication
● Where A, B, and C are matrices of appropriate
dimensions and r and s are scalars, the following
matrix equations are true (the notation A (B ⋅ C) is
shorthand for A ⋅ (B ⋅ C)):
A (B ⋅ C) = (A ⋅ B) C
A (B + C) = A ⋅ B + A ⋅ C
(A + B) C = A ⋅ C + B ⋅ C
rA ⋅ sB = (rs)(A ⋅ B)
● The n × n matrix with 1s along the main diagonal and
0s elsewhere is called the identity matrix, denoted by
I. If we multiply I times any nn matrix A, we get A as
the result. The equation is:
I⋅A=A⋅I=A
Section 4.6 Matrices 11
Monday, March 29, 2010 | 677.169 | 1 |
Welcome to this series of free video tutoring for VCE Further Maths, Units 3 and 4.
I'm a Melbourne based maths tutor, trying to make tutoring accessible for everyone. Since all further maths students in Victoria need to learn the Data Analysis core section, most of my tutorial videos are on this topic/module, though I'll hopefully be adding some tutes on the other modules this year. Happy studying!
Latest Tutorials:
Just remember to keep calm (deep breath!), make sure you read the questions carefully and answer as many questions as you can (don't spend too long on any one question if you're finding that one hard; the next question is worth just as many marks and might be easy. Circle it and come back later!)
First tutorial in a long time! Gearing up to the 2012 exams, I though I'd rustle one up for old times' sake. I've had a number of requests for more tutes on the Geometry and Trigonometry module, so here it is!
Congrats to all those students who completed Units 3 anf 4 of VCE Further maths in 2011! Exams are done, results are out, and many of you are looking ahead to your next challenge. For those of you undertaking the subject in 2012, welcome on board and I hope you find this site helpful. Most of the tutes created in 2011 were on the Core (Data Analysis) topic since everyone benefits from that. Check out the List of Tutorials so see all the Core tutorials available.
Of the other topics covered in the syllabus, there are 6 possible modules to choose from and each student only selects 3 of those, so video tutes on these other modules are a bit sparse at the moment. Hopefully I'll get some time over the summer to create a few tutes on these other topics – sign up for the newsletter if you'd like updates when these are uploaded. | 677.169 | 1 |
You are here
Matrix Groups for Undergraduates
Publisher:
American Mathematical Society
Number of Pages:
166
Price:
29.00
ISBN:
0-8218-3785-0
The back cover of Matrix Groups for Undergraduates says it is a text for a one-semester upper-level undergraduate course which will assist in preparing students for graduate school. A course based on this text would indeed be helpful to many students.
Tapp's book weighs in at a very slender 169 pages. Its chapter list gives a good indication of the content and level:
Why study matrix groups?
5.
Lie algebras
1.
Matrices
6.
Matrix exponentiation
2.
All matrix groups are real matrix groups
7.
Matrix groups are manifolds
3.
The orthogonal groups
8.
The Lie bracket
4.
The topology of matrix groups
9.
Maximal tori
The preface answers its title question in a very enticing way: applications from graphic programming to quantum computing are mentioned. The chapters themselves mostly focus on basics, with only occasional brief revisiting of the intriguing applications.
Here are four of the ways that the author keeps the text at an undergraduate level:
1. There is considerable emphasis throughout on examples. Since the classical examples of matrix groups dominate the theory anyway, the focus on examples really has no downside. Throughout the book the author is careful to treat the reals R, the complexes C, and the quaternions H as uniformly as possible. Thus he is able to introduce orthogonal groups O(n), unitary groups U(n), and symplectic groups Sp(n) in a parallel way. Theorem 9.31, appropriately stated without proof, forms a satisfying conclusion to the course. It tells readers that the three sequences they have been intensively studying, together with five exceptional groups they have not seen, form the building blocks of all compact matrix groups.
2. There is further emphasis on low dimensions and visibility. The first chapter explains in intuitive terms why the group SO(3) of rotations of a globe is three-dimensional. It previews the idea of maximal torus by explaining, "Rotating the globe around the axis through the North and South Pole provides a 'circle's worth' of elements of SO(3)." There are helpful pictures throughout the book. Even in the second-to-last chapter, the low-dimensional isomorphism from Sp(1) to SU(2) and the double cover from SU(2) to SO(3) play a prominent role.
3. There is review appropriate to the intended readers. Aspects of linear algebra over R and C are reviewed in the process of presenting new material corresponding to H. Chapters 4 and 7 are almost entirely devoted to background material, on point-set topology and manifolds respectively; in each case, everything takes place in ambient Euclidean spaces Rn. Even in the last chapter, a theme is that diagonalization theorems of linear algebra are being revisited.
4. Each chapter concludes with approximately 15 exercises. Some are theoretical, like 4.1 through 4.6, each of which has the form "Prove Proposition 4.x." Many reinforce theoretical topics by considering them in examples, such as Exercise 6.5 which asks students to describe all one-parameter subgroups of GL1(C) and draw some in the x-y plane. The many exercises would support a course where students regularly present material in class.
Tapp writes towards the end of his preface, "I believe that matrix groups should become a more common staple of the undergraduate curriculum; my hope is that this text will help allow a movement in that direction." With his gently written text and strictly bounded goals, he has succeeded.
David Roberts is an associate professor of mathematics at the University of Minnesota, Morris. | 677.169 | 1 |
Cabri II Plus for Mac
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Cabri II Plus is appreciated for the solid educational foundation and its simplicity of use.
With just a few clicks, students can: · Construct 2-D and 3-D figures, from the simplest to the most complex, by combining fundamental geometric objects such as points, angles, segments, circles, planes, solids and transformations. · Create expressions using fundamental algebraic concepts, such as numbers, variables and operations. · Connect geometry and algebra by measuring length, angles, area and volume and then attaching these numeric values directly to the figure to use them in calculations or in algebraic expressions. · Explore a figure's properties by manipulating its variable elements. Observe the effects of dynamic transformations like shrinking and enlarging. Make conjectures about algebraic and geometric properties, and then verify relationships among various parts of a figure.
The teacher can: Create activities that: · facilitate the introduction and understanding of new concepts promote the discovery of theorems, instead of just showing them help model real-life situations. · Generate classroom resources by inserting text or pictures in a figure, modifying graphical elements, copying/pasting into other software and producing high-quality printouts. · Present activities to students, have them manipulate figures, observe and guide them. Using Cabri allows you to better assess individual student comprehension. · Expand online by integrating figures that can be manipulated on web pages or by incorporating Microsoft Office documents. · Have students solve problems directly linked to the NCTM standards with possible interdisciplinary connections to physics, geography and the arts.
Thanks to the new built-in assistant discover the full pedagogical power of Cabri II Plus! Unleash it in your classroom right away. It comes with videos to get started and with more than 60 ready-to-teach activities for your classroom. The assistant guides you for instance on doing algebra, trigonometry, coordinate geometry, data exploration... | 677.169 | 1 |
Introduction to Arithmetic Geometry
Frontispiece of the 1670 edition of Diophantus' Arithmetica. The 1670 edition reproduces notes and observations that Pierre de Fermat wrote in the margins of the 1621 first printed edition. (This image is in the public domain.)
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This course is an introduction to arithmetic geometry, a subject that lies at the intersection of algebraic geometry and number theory. Its primary motivation is the study of classical Diophantine problems from the modern perspective of algebraic geometry | 677.169 | 1 |
Mathematics - General (484 results)
The purpose of this book, as implied in the introduction, is as follows: to obtain a vital, modern scholarly course in introductory mathematics that may serve to give such careful training in quantitative thinking and expression as well-informed citizens of a democracy should possess. It is, of course, not asserted that this ideal has been attained. Our achievements are not the measure of our desires to improve the situation. There is still a very large "safety factor of dead wood" in this text. The material purposes to present such simple and significant principles of algebra, geometry, trigonometry, practical drawing, and statistics, along with a few elementary notions of other mathematical subjects, the whole involving numerous and rigorous applications of arithmetic, as the average man (more accurately the modal man) is likely to remember and to use. There is here an attempt to teach pupils things worth knowing and to discipline them rigorously in things worth doing.<br><br>The argument for a thorough reorganization need not be stated here in great detail. But it will be helpful to enumerate some of the major errors of secondary-mathematics instruction in current practice and to indicate briefly how this work attempts to improve the situation. The following serve to illustrate its purpose and program:<br><br>1. The conventional first-year algebra course is characterized by excessive formalism; and there is much drill work largely on nonessentials.
Bringing to life the joys and difficulties of mathematics this book is a must read for anyone with a love of puzzles, a head for figures or who is considering further study of mathematics. On the Study and Difficulties of Mathematics is a book written by accomplished mathematician Augustus De Morgan. Now republished by Forgotten Books, De Morgan discusses many different branches of the subject in some detail. He doesn't shy away from complexity but is always entertaining. One purpose of De Morgan's book is to serve as a guide for students of mathematics in selecting the most appropriate course of study as well as to identify the most challenging mental concepts a devoted learner will face. "No person commences the study of mathematics without soon discovering that it is of a very different nature from those to which he has been accustomed," states De Morgan in his introduction. The book is divided into chapters, each of which is devoted to a different mathematical concept. From the elementary rules of arithmetic, to the study of algebra, to geometrical reasoning, De Morgan touches on all of the concepts a math learner must master in order to find success in the field. While a brilliant mathematician in his own right, De Morgan's greatest skill may have been as a teacher. On the Study and Difficulties of Mathematics is a well written treatise that is concise in its explanations but broad in its scope while remaining interesting even for the layman. On the Study and Difficulties of Mathematics is an exceptional book. Serious students of mathematics would be wise to read De Morgan's work and will certainly be better mathematicians for it.
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Rapid ArithmeticQuick and Special Methods in Arithmetical Calculation Together With a Collections of Puzzles and Curiosities of Numbers
by T. O'Conor Sloane
Rapid Arithmetic: Quick and Special Methods in Arithmetical Calculation, authored by doctor and lawyer T. O'Conor Sloane, is a guidebook to improving your mental math skills. The book is a mixture of valuable and applicable strategies for solving problems of arithmetic, and simple and amusing mental diversions. It is a work that treats the subject of mathematics as something that can be enjoyed. Rapid Arithmetic opens with a brief section on notation and signs before delving more fully into the subject matter. Separate chapters are presented covering addition, subtraction, multiplication and division, as well as fractions, the decimal point, exponents, and several other topics. Each chapter consists of an overview of the topic, as well as a variety of different strategies for tackling different mathematical problems. The author presents short practice activities throughout the work, intended to both reinforce the lesson and serve as fun diversion for the reader. T. O'Conor Sloane has a gift for making a challenging subject entertaining. Rapid Arithmetic is not a book only for the math enthusiast, but for anybody that sees the value in honing their arithmetical skills. It is a well-written and clearly presented treatise on the topic. Rapid Arithmetic: Quick and Special Methods in Arithmetical Calculation is the rare text about mathematics that can appeal even to one not interested in the subject. Sloane's methods can actually improve the daily life of the reader by allowing one to more quickly work out common math problems, and for this reason his work is highly recommended.
William Timothy Call was a mathematician and an individual interested in using mathematics to improve daily life. In A New Method in Multiplication and Division, Call presents a method he personally devised to solve multiplication and division problems. In his introduction the author acknowledges that the method presented in this book is of no great significance, rather it is a curious way of attacking a problem that likely differs from what the reader has been taught. It is clear from the beginning that this is a book aimed at those with a keen interest in math. The book opens with Call's method for solving simple multiplication problems, before progressing to his method for problems of division. A New Method in Multiplication and Division is a brief work and one that will appeal to those for whom mathematics is a hobby. The subject matter is largely trivial, and while the methods detailed are effective, they are presented largely as a novelty. Those who are passionate about mathematics will likely enjoy the casual approach of the author and the general tone of the book. For readers passionate about mathematics and problem solving, William Timothy Call's A New Method in Multiplication and Division is recommended. This is not a textbook or a resource guide, but rather a lighthearted presentation of a simple but alternative mathematical approach, intended to entertain and inform the reader.
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Discoveries in MathematicsIntroducing New Principles, Formulæ,& Double Equations, Which Abridge All the Operations of Algebra & Arithmetic
by Heyer M. Nexsen
Discoveries in Mathematics by Heyer M. Nexsen is a handbook that would help every student of mathematics in deconstructing complex formulae, equations and principles underlying algebra and arithmetic. Nexsen understands the general impediments to students of the subject in terms of memorising theorems, special cases as well as hypotheses and therefore provides a pointed discussion on abridging them for quick recall and application. Nexsen opens with an introductory note on algebraic formulae including logs, differentiation, powers and roots among various other concepts. He provides an innovative method for calculating the root of numbers which is much faster and simpler than the existing methodology. He then discusses specific operations like multiplication in double equations, squaring and square roots, cubes as well as formulae for many coefficients. Discoveries in Mathematics is brief which makes it even more appealing for students as referencing is quick and easy and Nexsen makes sure that concepts are explained in the most simplistic manner possible with multiple examples and sample equations. Of the various topics covered, the notes on algebra are perhaps explained the best. In the end, the use of this book would ensure that students of mathematics will be able to reduce calculation times substantially as it holds within its pages some excellent tips and tricks for various mathematical principles.
The course of study in American high schools is in process of extensive change. The change commenced with the introduction of new subjects. At first science began to compete with the older subjects; then came manual training, commercial and agricultural subjects, the fine arts, and a whole series of new literary courses. In the beginning the traditional subjects saw no reason for mixing in this forward movement, and such phrases as "regular studies," "substantial subjects," and "serious courses" were frequently heard as evidences of the complacent satisfaction with which the well-established departments viewed the struggles for place of the newer subjects. Today, however, the teachers of mathematics and classics are less anxious than formerly to be classified apart. Even the more conservative now write books on why they do as they do and they speak with a certain vehemence which betokens anxiety. They also prepare many editions of their familiar type of textbook, saying of each that it is something which is both old and new. All these indications make it clear that the change in the high-school curriculum which began with the introduction of new subjects will not come to an end until many changes have been made in the traditional subjects also.<br><br>Over against the obstinate conservatism of some teachers is to be set the vigorous movement within all subjects to fit them effectively to the needs of students. The interest of today is in supervised study, in better modes of helping students to think, in economy of human energy and enthusiasm. This means inevitably a reworking of the subjects taught in the schools. It is the opportunity of this generation of teachers to work out the changes that are needed to make courses more productive for mental life and growth.<br><br>During this process of reform, mathematics has changed perhaps less than any other subject.
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Practical and Mental ArithmeticOn a New Plan, in Which Mental Arithmetic Is Combined With the Use of the Slate; Containing a Complete System for All Practical Purposes; Being in Dollars and Cents, Stereotype Edition, Revised and Enlarged, With Exercises for the Slate, to Which Is Added
by Roswell C. Smith
Roswell Chamberlain Smith's Practical and Mental Arithmetic: On a New Plan in Which Mental Arithmetic is Combined with the Use of the Slate provides readers with a historical glimpse into early teaching methods. Practical and Mental Arithmetic is intended to be a teacher's guide for instructing arithmetic. The book is constructed so that an instructor could directly follow the contents and deliver an effective course on arithmetic. The work is intended for young learners who have had minimal formal teaching in arithmetic, emphasizing the use of a slate, a teaching method that is no longer used today. While Smith has not explicitly divided his book into lessons, there are clear breaks in the content that indicate where one lesson ends and another begins. Topics covered include the basics of arithmetic, such as addition, subtraction, multiplication, and division, using practical problems to assist the teacher in removing these concepts from the realm of the theoretical. Practical and Mental Arithmetic espouses an outdated teaching method, and thus would no longer be valuable as an instructor's handbook. The real significance of the text for the modern reader is thus the historical snapshot it provides of pedagogy in the nineteenth century. Those researching educational history will find a wealth of information in this text about early teaching methods in American primary schools. Roswell Chamberlain Smith's Practical and Mental Arithmetic: On a New Plan in Which Mental Arithmetic is Combined with the Use of the Slate was surely a valuable textbook at the time of it's original publication. While no longer practically useful, the book will still be of interest to students and scholars pursuing research into outdated methods of teaching mathematics.
Increasing demands for instruction in practical or trade subjects have made it necessary to develop courses of study having special application to particular trades. In the past much of this instruction has been done without textbooks, or if textbooks have been used, they have not been satisfactory. Since, in many cases, it has been necessary to supplement the class-room instruction with lesson material prepared by some method of duplication other than printing, it has been brought to the attention of publishers that here is an undeveloped field, particularly for books in mathematics. Old-fashioned academic books are not at all satisfactory, for example, in the teaching of Practical Mathematics to classes of electricians and machinists. These trades have many problems, more or less related, which are concrete examples of the days work and can be effectively used for study material. These chapters have been prepared with the object, first, of establishing and holding the interest of adult students; and second, of presenting for study only those parts of the common mathematical subjects which a quaUfied electrician or machinist will be likely to use either in his present employment or in the future work he will do as a result of study and advancement. Throughout this book, as much as possible, the language used by practical men has been followed, and the presentation has been made direct, intimate, and personal. Whenever possible, unusual mathematical terms, symbols, and names have been avoided. For example, in nearly all parts of this book names Uke digit, factor, multiplicand, etc.
The present collection of Exercises, gathered from many sources, is one which has accumulated through several years, and consists of papers set weekly or bi-weekly to boys of all ages during that time. They serve to recall back work, and keep boys always ready for the examination. The First Series contains 261 papers, about half the total number, and commences with exercises in Arithmetic suitable to boys who have gone through the First Four Rules, Simple and Compound, and are beginning Fractions; and Algebraical Exercises consisting chiefly of Numerical Values, Addition, and Subtraction. From these onward, the exercises rise in difficulty by careful gradations, reaching Cube Root and Compound Interest in Arithmetic, and Quadratic Equations in Algebra, at the end of the First Series.<br><br>The Second Series is a continuation of the First, and includes problems in Higher Algebra, Logarithms, Trigonometry, and easy Mechanics, and Analytical Geometry.
This work outlines for students of the third and fourth high-school years a more advanced and more thorough course in applied business mathematics than the ordinary first-year course in elementary commercial arithmetic. The attempt has been made to construct a practical course which will contain all the essential mathematical knowledge required in a business career, either as employee, manager, or employer.<br><br>The fact that the field has been covered in this text both more intensively and more comprehensively than it has yet been covered in other texts, and the added fact that the material gathered together has stood the test of six years experience in the teaching of large and varied classes of the fourth year in a city high school, seem sufficient warrant for its publication.<br><br>The work is adapted not only for use in the classroom but also as a reference manual for those actively engaged in business life. Thus it will be found a practical guide for, young employees who wish through private study to master the fundamental mathematics involved in "running a business." The tabulations, forms, illustrative examples, charts, logarithmic applications, and simple rules, are all applicable to the financial and other mathematical problems which business presents. Lack of knowledge of this side of a business, or inability to work out its mathematics, often results in haphazard guessing where accurate and careful calculations are required.
Teacher's Manual for First-Year Mathematics is a book written by George William Myers, a Professor of the Teaching of Mathematics and Astronomy at the University of Chicago. The book is intended as a teaching manual for teachers instructing their students using a textbook called First Year Mathematics. Myers' book is intended as a companion piece to the textbook First Year Mathematics, released by the same publishing company, The University of Chicago Press. The book makes effort to assist the teacher by providing them with a detailed how-to regarding teaching the specific problems presented in the textbook. Teacher's Manual is presented in chapters, each corresponding to a chapter in First Year Mathematics. Specific references are made to page numbers and problems presented in the textbook. In total, the book contains fourteen different chapters. Teacher's Manual for First-Tear Mathematics can only be used in conjunction with the appropriate textbook. Without access to First Year Mathematics, the book is of no use. It is however an excellent companion piece to the textbook, and those able to access the original textbook will surely find this text to be highly beneficial. While a well-written teacher's manual, George William Myers' book assumes the reader has access to the original textbook. If you are interested in making use of this manual, do ensure that you are also able to access First Year Mathematics.
In issuing this new volume of my Mathematical Puzzles, of which some have appeared in the periodical press and others are given here for the first time, I must acknowledge the encouragement that I have received from many unknown correspondents, at home and abroad, who have expressed a desire to have the problems in a collected form, with some of the solutions given at greater length than is possible in magazines and newspapers. Though I have included a few old puzzles that have interested the world for generations, where I felt that there was something new to be said about them, the problems are in the main original. It is true that some of these have become widely known through the press, and it is possible that the reader may be glad to know their source.<br><br>On the question of Mathematical Puzzles in general there is, perhaps, little more to be said than I have written elsewhere. The history of the subject entails nothing short of the actual story of the beginnings and development of exact thinking in man. The historian must start from the time when man first succeeded in counting his ten fingers and in dividing an apple into two approximately equal parts. Every puzzle that is worthy of consideration can be referred to mathematics and logic. Every man, woman, and child who tries to "reason out" the answer to the simplest puzzle is working, though not of necessity consciously, on mathematical lines. Even those puzzles that we have no way of attacking except by haphazard attempts can be brought under a method of what has been called "glorified trial" - a system of shortening our labours by avoiding or eliminating what our reason tells us is useless. It is, in fact, not easy to say sometimes where the "empirical" begins and where it ends.<br><br>When a man says, "I have never solved a puzzle in my life," it is difficult to know exactly what he means, for every intelligent individual is doing it every day. The unfortunate inmates of our lunatic asylums are sent there expressly because they cannot solve puzzles - because they have lost their powers of reason. If there were no puzzles to solve, there would be no questions to ask; and if there were no questions to be asked, what a world it would be! We should all be equally omniscient, and conversation would be useless and idle.<br><br>It is possible that some few exceedingly sober-minded mathematicians, who are impatient of any terminology in their favourite science but the academic, and who object to the elusive x and y appearing under any other names, will have wished that various problems had been presented in a less popular dress and introduced with a less flippant phraseology.
Counting a series of things and keeping tally of the tens on the fingers were processes used by primitive peoples. From the ten fingers arose ultimately the decimal system of numeration. Recording the results of counting was done by the Egyptians and other ancient nations by means of strokes and hooks; for one thing a single stroke | was made, for two things two strokes || were used, and so on up to ten which was represented by Π. Then eleven was written |Π, twelve ||Π, and so on up to twenty, or two tens, which was represented by ΠΠ. In this way the numeration proceeded up to a hundred, for which another symbol was employed.<br><br>Names for ||, |||, ||||, ΠΠ, etc., appear in the Egyptian hieroglyphics, but a special symbol for each name is not used. Probably the Hindoos first invented such symbols, and passed them on to the Arabs, through whom they were introduced into Europe.<br><br>2<br><br>Greek Notation<br><br>The Greeks used an awkward notation for recording the results of counting.
This book carries forward through the second high-school year the combined type of material and the plan of treatment of First-Year Mathematics. The two texts together cover the essentials of what is commonly required of all pupils in the first two years of secondary schools in this country, and include, in addition, the elementary notions of plane trigonometry through the solution of right triangles, as well as an introduction to some topics of formal algebra not usually treated in secondary texts. Each book constitutes a well-balanced and not over-heavy year of work. This material so arranged at the same time opens to the pupil a broader, richer, a more useful and therefore a more alluring field of ideas than do the two subjects of algebra and plane geometry treated separately.<br><br>It is felt that the material and treatment of these books lays for the beginner a more stable foundation for future work than does the usual order of a year of formal algebra, followed by a year of formal demonstrative geometry, or of these subjects in the reverse order. This judgment, founded on our own experience, is confirmed by a recent extended inspection of schools abroad. In England as well as in Germany and France, the best secondary schools were seen to be using the methods of combined mathematics almost exclusively, with seeming advantage to their pupils.<br><br>Second-Year Mathematics lays chief emphasis on geometry, as did the First-Year Mathematics on algebra. To take up the work of these texts then requires no abrupt departure from the order of subjects now prevailing in secondary curricula.
This text differs widely from that marked out by custom and tradition. It treats the various branches of mathematics more with reference to their unities and less as isolated entities (sciences). It seeks to give pupils usable knowledge of the principles underlying mathematics and ready control of them. These texts are not an experiment; they were thoroughly tried out in mimeograph form on hundreds of high school pupils before being put into book form. The scope of Books I and II does not vary greatly from that covered in algebras and geometries of the usual type. However, Book I is different in that arithmetic, algebra, and geometry are treated side by side. The effect of this arrangement is increased interest and power of analysis on the part of the learner, and greater accuracy in results. Some pupils like arithmetic, others like algebra, still others like geometry; the change is helpful in keeping up interest. The study of geometry forces analysis at every step and stage; consequently written problems and problems to be stated have no terrors for those who are taught in this way. For several years mathematical associations have urged that all work should be based upon the equation. In accordance with this view we have made the demonstrations in this book largely algebraic, thus making the demonstration essentially a study in simultaneous equations. In this method of treatment, we have found it advantageous not to hurry the work. Pupils gain power, not in solving many problems, but in analyzing and tio?oxt 3 xaAwafcaxs.- ing the principles of a few.
The State Board of Education expect to make no revolution in teaching the old subject of Arithmetic, by the issuance of a new book. They feel, however, that arithmetics have been too much given to talking and not enough to doing that a student seldom or never masters the thought in a long and minute explanation. He cannot understand it before working the examples, and does not need it afterward. Hence, the explanations in the present volume have been made brief, and may be enlarged by the teacher as the occasion demands. Let no one despise the book on account of its small size, but work a class carefully through it, making it familiar by frequent reviews, and observe the effect. We respectfully invite the candid criticism of those who have done this, that the defects of the present volume may be remedied in the near future.
To the Reader. and Familiar Way, Intelligible by a mean Capacity, But tho the uhlick in general hath favoured me, yet I have not had the Good Fortune to find fuch Encouragement from thofe who Jhould ( thinky without a fond Partiality to Self) havejhewed fome Regard to my Labours, which have chiefly been cat culated and adapted to the promoting the Science of Trade and Commerce, But, alas there are too many who are fo indolent and little concern dabout thofe Matters (which, next to Religion itfelf, do claim our greatefi RefpeSi) Humour and Pleafure having fo much the Jfcendant, that the Jutbor of a lay or whimfical Novel Jhall fboner meet with the Reward of confiaerable Bufinefs, or an Employment of Profit, than he who hath pent more than half an Age of Sixty-three Tears in Studies which tend very greatly to the Know ledge and Increafje of Trade and Merchandizing.
The orientalists who exploited Indian history and literature about a century ago were not always perfect in their methods of investigation and consequently promulgated many errors. Gradually, however, sounder methods have obtained and we are now able to see the facts in more correct perspective. In particular the early chronology has been largely revised and the revision in some instances has important bearings on the history of mathematics and allied subjects. According to orthodox Hindu tradition the Surya Siddhanta, the most important Indian astronomical work, was composed over two million years ago! Bailly, towards the end of the eighteenth century, considered that Indian astronomy had been founded on accurate observations made thousands of years before the Christian era. Laplace, basing his arguments on figures given by Bailly considered that some 3,000 years B. C. the Indian astronomers had recorded actual observations of the planets correct to one second; Playfair eloquently supported Bailly's views; Sir William Jones argued that correct observations must have been made at least as early as 1181 B. C.; and so on; but with the researches of Colebrooke, Whitney, Weber, Thibaut, and others more correct views were introduced and it was proved that the records used by Bailly were quite modern and that the actual period of the composition of the original Surya Siddhanta was not earliar than A. D. 400.<br><br>It may, indeed, be generally stated that the tendency of the early orientalists was towards antedating and this tendency is exhibited in discussions connected with two notable works, the Sulvasutras and the Bakhshali arithmetic, the dates of which are not even yet definitely fixed.
In this book, all the principles of Arithmetic are fully developed, and sufficient examples are given to fix them on the mind.<br><br>When a student is very apt and thoroughly understands the Primary Lessons, he may omit the Elementary, and immediately take up this book, which is complete in itself.<br><br>I have discarded puzzles of every kind, which only perplex the student without advancing him a step in science.<br><br>A few simple principles of algebra are introduced, in order to elucidate more clearly, the different functions of interest, the series of equal ratios, and the square and cube root.<br><br>Problems in mensuration are also given, the principles of which are derived from Geometry.<br><br>Arithmetic is a pure mathematical science, and if its principles are systematically developed, the student will progress with easy and rapid steps, and when he has finished this book, he will discover that he has already so far ascended the hill of science that a retrospect will present to him many beauties which are greatly enhanced when seen in their harmonious relation to each other.
While this book presents a thoroughly practical kind of mathematics, as do also Books I and II, it is the purpose of the book to make the treatment sufficiently formal to enable the student to appreciate more fully the nature of pure mathematics. It is only by so doing that the door of the science can be opened sufficiently to enable him to determine whether he should pursue the subject further. In Book I the work in arithmetic was extended, the subject of intuitive geometry was introduced, and the algebraic formula was used when needed; in Book II the work in arithmetic was continued, particularly as it refers to the problems of everyday life, and such algebra as is essential in various practical lines was set forth; and now Book III offers a fitting close to an introductory course in mathematics by extending the work in practical algebra, by showing the nature and some of the practical uses of trigonometry, and by introducing the student to the first steps of demonstrative geometry.<br><br>The student who expects to enter college will find that the algebra given in this series satisfies the requirements in many cases and that even the highest requirements in both algebra and geometry can be met in a year or a year and a half more. The authors have had in mind the needs not only of this class of students but also of those students who do not expect to enter college and yet who wish for and are entitled to have a general survey of elementary algebra, an introduction to the meaning and the practical uses of trigonometry, and an idea of scientific demonstration as it appears in its most available form, the element of geometry.
Arithmetic should be to teach the pupil to cipher, to learn by doing. The shortest and surest road to a knowledge of Arithmetic is by solving problems, not by memorizing rules or by demonstrating propositions. The pupil should be trained to obtain results rapidly and correctly. He should be taught, in questions involving decimal fractions, to limit the answers to the number of decimals required by the nature of the examples, and to avoid all superfluous work. He should not be expected to discover the reason of a process until he fully understands the process; then he should be allowed to state the reason in his own language. This Arithmetic is not intended for beginners; but it is presumed that pupils will have a thorough knowledge of our First Steps in Number, and be at least twelve years of age, before entering upon the study of this book. Decimal fractions are introduced at the beginning of the book. Experience proves that when thus taught they present no difficulty. The difficulty of decimal fractions arises solely from comparing them with common fractions, and is avoided by teaching decimals first. The pupil learns the notation on both sides of the decimal point as easily as on one side; provided the notation on both sides is presented at the same time. Much time is saved by strict adherence to the motto, Decimal fractions as soon as possible, thoroughly mastered; common fractions postponed as long as possible.
Tl is valuable variety of useful exercises, is zstined to inspire students with an ardent desire ir more extended mathematical attainments than lose acquired from a limited study of abridged :mentary sclioobboolis. With a view of proiting intellectual progress, I have given many :orems of great utility, with the greatest gssible variety of useful problems and their ilutions, in a limited space. No two are alilie, nd from each, 2 rule or formula may be deduced rthe working of similar questions. Those iho have acquired a knowledge of algebra and eometry, will find these exercises really attractive a source of profitable recreation. This little work, containing elaborate solutions all its exercises comprehends more proposiEgns tlian the first four books of Euclid. It must lmdoubtedlyg secure a wide circulation and meritoriis success. The principal propositions have :en contributed by the distinguished matheiatical correspondents of the Canadian Almanac nd Journal of Education; selected and solved their Mathematical Editor, the Blutlior.
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The AnalystOr an Introduction to the Mathematics, Containing,i. The Doctine of Vulgar and Decimal Fractions, Wherein the Fundamental Principles Art Fully and Clearly Explained in All Their Cases; II. The Extraction of Rots, According to the Newtonian Method, Much Pr
by Unknown Author
DpCTRINE Vulgar Fractions. De, Fi Ni Ti On Lt Nity is an abftraS Idea of all diofe % SThings we ca Ume and is creforc put i 3 for i and thefe arc either tiie lame or 4 2 different. I fay, Unitv, Unit, or One 2 I is, by which we diftmguifb, difcern, f Bknow, name or cxprefs any Thing that is, to be one.- 2.-Number is a Multitude, or a Many dTUnits. Illustration. As Unit, or One, is that, by which every Thing that is, is expreflcd to be one; fo Number is that by which we exprefs what contains Quantity or Multitude of thofe Things, Quantities, or Magnitudes we delire to have namea, known or figniiied :As two Men, three ooks, fix Things, nine Mondis, forty Founds of Mopey, fixty hundred Weight, two thoufand EUs, and foin
This work is called a Complete Arithmetic, because it embraces all the subjects which properly belong to a school arithmetic, and because it treats these subjects both analytically and inductively. It is designed to be a complete text-book for pupils who have mastered the elements of numbers. The work is characterized by the same features as the lower books of the series, viz.: 1.It combines 3 Iental and Written Arithmetic in a practical and philosophical manner. This is done by making the mental exercises preparatory to the written; and thus these two classes of exercises, which have been so long and so unnaturally divorced, are united as the essential complements of each other.2. It faithfally embodies the inductive method of teachinff. The written methods are preceded by the analysis of mental problems, and both the written methods and the principles which they involve, are derived inductively from the analytic processes. The successive steps of each process are mastered by the pupil through the solution of problems, and he is required to deduce and state the rules before he is confronted with the authors generalization. All definitions which are deducible from the processes, and, with few exceptions, all principles and rules, are placed after the jroblems a feature peculiar to this Series.3. It is specially adapted, both in matter and method, to the grade of pupils for ivhich it is designed.
For the slightly more advanced student of mathematics Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic is one in a series of mathematics textbooks authored by Joseph Ray presenting a more advanced math curriculum than Ray's New Practical Arithmetic. Ray's New Higher Arithmetic is an all-encompassing treatise on the subject of arithmetic, geared slightly towards the more advanced learner. The book still begins with the basics however, and early chapters focus on numeration and notation, as well as addition, subtraction, multiplication, and division. From there, the author introduces more advanced topics, including decimal fractions, compound denominate numbers, proportion, evolution, and mensuration. Throughout the work Ray introduces and explains the laws of mathematics and presents example problems illustrating the theory. The book concludes with a section of miscellaneous review questions, presented alongside the correct answer. Ray's New Higher Arithmetic is certainly successful in presenting its subject matter in an effective manner. The book would be appropriate for both the independent learner as well as math teachers. While the content is aimed at the more advanced student, the material is presented in such a way that this volume could be used as an introductory text by a willing and hard worker. | 677.169 | 1 |
The goal of this book is to provide the reader with a sound conceptual understanding of both the special and general theories of relativity, and gain an insight into how the mathematics of the theory can be utilized to calculate relativistic effects.
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"This book stands apart from other introductory textbooks on general relativity in that it is aimed at non-science educated readers who nonetheless want to get a thorough understanding of this theory. … The book succeeds quite well in explaining the concepts underlying general relativity in elementary terms without sacrificing mathematical rigor. An additional bonus are the philosophical remarks obviously due to one of the authors being a philosopher himself." (Helmut Rumpf, Zentralblatt MATH, Vol. 1234, 2012)
From the Back CoverEinstein's Theory: A Rigorous Introduction for the Mathematically Untrained aims to provide the reader with a sound conceptual understanding of both the special and general theories of relativity, and gain an insight into how the mathematics of the theory can be utilized to calculate relativistic effects.
Most Helpful Customer Reviews
This is simply the clearest and gentlest introduction to the subject of relativity. This is NOT a popular reading, it does get into the math but the introduction and pace is what sets this text apart. The authors starts from baby steps and builds up the theory. The pace is easy and explanation are clear and the mathematical details are not left to the reader to figure out like in most text books.The physics is also explained very clearly From an electronics engineering background and not having dealt with tensors before, this text help me bridge the gap and allows me to fully appreciate the machinery underlying this wonderful theory.I have tried reading Schultz,Lawden etc to understand the subject on my own but this text is a much better intro to the subject.
This is an excellent book. I am about 1/2 way thru it and the presentation of the necessary math to understand relativity is the best I have ever seen. However, the title "...for the Mathematically Untrained.." is misleading. I think the "mathematically untrained" will find the book rough going; however, for those with a background in college level math, i.e. calculus and vectors in particular will find the book gives a refreshing presentation of these subjects. The careful analysis of a derivative and basis vectors is the best I have ever seen. The geometric approach for derivations such as Christhoffel symbols makes this concept much clearer than an algebraic approach (which by the way, is also shown). I have a BS in physics and a MS in EE and I always felt that school rushed one thru courses with emphasis on problem solving rather than understanding basic principles was probably not a good approach for understanding. I just wish that I had this book early in my academic career.
This is a book of absolutely stunning importance and fantastic quality. Anyone could use it, really, but there is a "best group" of potential users. People who have taken the second course of calculus, the calculus of several variables, will already have made their way through the "heavy lifting" of some preliminary chapters---although that material is also contained here and is correct. So, in theory, a high school student could use this book and learn right up to general relativity in one fell swoop. It could be done, but it would take a lot of effort. I think that almost every young scientist, at more or less the early college stage, would deserve the privilege of reading this most valuable book. It will explain Einstein's theory correctly right up to the true general relativity. It will do it with full mathematical correctness (leaving out some niceties that can be left out), and it will do it in a fully understandable way. So, it is a "best book." For people who would like to understand Special Relativity only, and who would like to muddle through less mathematics, Mermin's book "It's About Time" is really by far the very best, and it uses less mathematics, but only gives you the special theory. For those who are fully confident in mathematics, Woodhouse's two volumes on Special and General Relativity seem to be just the "right" place to start, but it requires that you be in full mathematical fettle to do it. Gron stops and carefully helps you fill that all in, and in a very gentle way. I think everyone will want to read it, even those who don't have to. It's just that wonderful. For those who go beyond this level, Gron has two more books which are worth reading. Woodhouse is a good next step.Read more ›
"One day," writes Oyvind Gron, "the seventy three year old philosopher Arne Naes appeared at my graduate course on general relativity. He immediately decided that a new type of introduction to the general theory of relativity is needed: an introduction designed to meet the requirements of non-science educated people wanting to get a thorough understanding of this, most remarkable, theory."
Imagine you are deeply curious about concepts of Einstein' theory beyond just misleading popularized qualitative descriptions or strict quantitative textbooks, imagine you are an educated person who has forgotten some basic high school maths but likes to master the field of relativity as excellent as a graduate student, imagine you are a thinker, philosopher or a theoretician who likes to compare her/his concepts of space and time versus that of Einstein in General Relativity ... in all these cases, this book is for you if and only if you are a patient reader.
The book is unique in its genre: not only it starts with low level maths to arrive at the core of one of the most sophisticated theories of the last century, but it is the fruit of corporation between an interested philosopher (Arne Naes) and a professor of physics (Oyvind Gron). It is therefore neither a vulgarized version of the theory, even when it goes into the qualitative discussions, nor a strict textbook jumping between mathematical formulas and mistaking the mathematical formalism with the reality.In other words, although the books deal with mathematics of GR (the general relativity) the authors are aware that beyond the equations are hidden wonders and curious concepts rooted in Einstein's inventive imagination.Read more › | 677.169 | 1 |
Numerical Analysis
9780321268983
ISBN:
0321268989
Pub Date: 2005 Publisher: Addison-Wesley
Summary: Numerical Analysis, designed to be used in a one-year course in engineering, science and mathematics, helps the readers gain a deeper understanding of numerical analysis by highlighting the five major ideas of the discipline: Convergence, Complexity, Conditioning, Compression, and Orthogonality and connecting back to them throughout the text. Each chapter contains a Reality Check, an extended foray into a relevant ap...plication area that can be used as a springboard for individual or team projects. MATLAB is used throughout to demonstrate and implement numerical methods. Fundamentals. Solving Equations. Systems of Equations. Interpolation. Least Square. Numerical Differentiation and Integration. Ordinary Differential Equations. Boundary Value Problems. Partial Differential Equations. Random Numbers and Applications. Trigonometric Interpolation and the FFT. Compression. Eigenvalues and Singular Values. Optimization. For all readers interested in numerical analysis.
Sauer, Timothy is the author of Numerical Analysis, published 2005 under ISBN 9780321268983 and 0321268989. Fourteen Numerical Analysis textbooks are available for sale on ValoreBooks.com, nine used from the cheapest price of $15.99, or buy new starting at $44 | 677.169 | 1 |
Pre-Algebra
As students make the transition from elementary school math to advanced math they often need some additional explanations to get a handle on these new types of concepts. Math Made Easy's pre- algebra series of 5 Dvds presents topics such as inequalities, absolute value and exponents with clear and easy to follow explanations which are reinforced by follow up examples and lots of interactive practice exercises. Colorful graphics help students visualize the information that was difficult to picture on the teacher's blackboard and real life examples help students relate to pre-algebra as part of their interaction with the real world. This series will give students the necessary foundation to excel in Algebra and other advanced math topics they will learn in high school.
With as little as thirty minutes per day with Math Made Easy, you'll master Pre- Algebra in thirty days!
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dconnol (Tuesday, 21 October 2014)
Rating:
I was really happy with this product! Anyone who needs help in math should use these Dvds. I used them for both pre-algebra and algebra and they literally got me through my classes. Very comprehensive, plenty of exercises, great explanation. I have nothing negative to say about this product
shawn1234 (Wednesday, 14 November 2012)
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The dvds helped my son a lot in his pre algebra class. He used them throughout the semester and he finished with an B+ in his course. I would recommend them.
Steven.A (Tuesday, 06 November 2012)
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Would definitely recommend these dvds. The concepts are explained in a clear and concise way so that a struggling student is able to understand and apply. Good and clear visual graphics although not flashy. Worth every penny.
Jackson123 (Tuesday, 23 October 2012)
Rating:
The dvds were very helpful in getting me through my course. Very thorough, covers all the material. Good explanation. Not that entertaining, but effective. Some of my friends were helped by them as well. | 677.169 | 1 |
Elementary Linear Algebra (2nd Edition)
9780131871410
ISBN:
0131871412
Edition: 2 Pub Date: 2007 Publisher: Pearson
Summary: "Elementary Linear Algebra, 2/e" -- Lawrence Spence, Arnold Insel, and Stephen Friedberg Embracing the recommendations of the "Linear Algebra Curriculum Study Group, the authors have written a text that" students will find both accessible and enlightening. Written for a matrix-oriented course, students from a variety of disciplines can expect a greater understanding of the concepts of linear algebra. Starting with ma...trices, vectors, and systems of linear equations, the authors move towards more advanced material, including linear independence, subspaces, and bases. The authors also encourage the use of technology, either computer software (MATLAB) or super-calculators, freeing students from tedious computations so they are better able to focus on the conceptual understanding of linear algebra. Lastly, students will find a variety of applications to engage their interest, demonstrated via economics, traffic flow, anthropology, Google searches, computer graphics, or music to name a few. By leveraging technology and incorporating engaging examples and numerous practice problems and exercises, this text best serves the needs of students attempting to master linear algebra.
Lawrence E. Spence is the author of Elementary Linear Algebra (2nd Edition), published 2007 under ISBN 9780131871410 and 0131871412. Three hundred sixty seven Elementary Linear Algebra (2nd Edition) textbooks are available for sale on ValoreBooks.com, sixty one used from the cheapest price of $110.95, or buy new starting at $159 | 677.169 | 1 |
1. Strengthen the student's understanding, ability and confidence in using logic and writing proofs. 2. Define and identify examples and nonexamples (with justification) of the basic structures of modern algebra: groups, rings, fields and vector spaces. 3. Understand the basic properties of the basic algebraic structures, their substructures, coset structures and their direct sums or products. 4. Understand isomorphism and homomorphism and how they reveal the relationships between algebraic structures. 5. Apply the concepts and techniques of abstract algebra to problems in the physical and mathematical sciences.
REQUIREMENTS:
All students must have their own text. Assignments and exams are required by all faculty. Some faculty may require projects, oral presentations, working in groups, computer lab assignments, or other forms of assessment. | 677.169 | 1 |
...
Show More and to ensure that they understand each concept before moving on to the next. With Tobey/Slater, readers have a tutor and study companion with them every step of the way. Basic Concepts; Linear Equations and Inequalities; Equations and Inequalities in Two Variables and Functions; Systems of Linear Equations and Inequalities; Polynomials; Rational Expressions and Equations; Rational Exponents and Radicals; Quadratic Equations and Inequalities; The Conic Sections; Additional Properties of Functions; Logarithmic and Exponential Functions. For all readers interested in basic college mathematics172.00
Your Savings:$155.01 | 677.169 | 1 |
First Course in Numerical Methods is designed for students and researchers who seek practical knowledge of modern techniques in scientific computing. Avoiding encyclopedic and heavily theoretical exposition, the book provides an in-depth treatment of fundamental issues and methods, the reasons behind the success and failure of numerical software, and fresh and easy-to-follow approaches and techniques.
The authors focus on current methods, issues and software while providing a comprehensive theoretical foundation, enabling those who need to apply the techniques to successfully design solutions to nonstandard problems. The book also illustrates algorithms using the programming environment of MATLAB(r), with the expectation that the reader will gradually become proficient in it while learning the material covered in the book. A variety of exercises are provided within each chapter along with review questions aimed at self-testing.
The book takes an algorithmic approach, focusing on techniques that have a high level of applicability to engineering, computer science, and industrial mathematics.
Audience:A First Course in Numerical Methods is aimed at undergraduate and beginning graduate students. It may also be appropriate for researchers whose main area of expertise is not scientific computing and who are interested in learning the basic concepts of the field.
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About the Author
Uri Ascher is a Professor of Computer Science at the University of British Columbia in Vancouver, Canada. He has previously co-authored three other books, published by SIAM, as well as many research papers in the general area of numerical methods and their applications. He is a SIAM Fellow and a recipient of the CAIMS Research Prize.
Chen Greif is an Associate Professor of Computer Science at the University of British Columbia in Vancouver, Canada. His research interests are in the field of scientific computing, with specialization in numerical linear algebra. He is currently an associate editor of the SIAM Journal on Scientific Computing book does a great job exposing you to the concepts and it has excellent recourses on the publisher's site. It is a bit difficult to grasp certain concepts since it doesn't go into too much detail (I had to reference another book a few times). If it would go more into detail on the more difficult concepts, it would get 5 stars. | 677.169 | 1 |
Description:
A unit that introduces some simple computer programming techniques in an informal manner to students in a traditional classroom. The mathematical topic included in the unit is the area of plane figures. Recommended for 7th and 8th grade General Mathematics, 9th grade Applied Mathematics, and 10th grade Consumer Mathematics and Plane Geometry. | 677.169 | 1 |
Introduction to Technical Mathematics is designed for students in technical programs at colleges and technical institutes. It is intended for those who require a basic knowledge of mathematics for use in their particular programs and professions | 677.169 | 1 |
Description
With more than 100 built-in functions, forms to enter matrix and list data, SCalc calculates matrix inversions, LU (QR) decompositions, definite integrals, derivatives and zeros of simple functions. Solve a system of linear equations using QRS operation. Draw 15 graphs/plots, compute 10 commands. Switch to increasingly complex layouts, solve equations and compute special functions. Draw parametric, cartesian and polar graphs. Zoom in and zoom out with a display of scale and zoom level used. Track graph functions. Stretch and compact graphs along the y-axis. Compute commands like integrations, derivatives, maxima and minima along with drawings of results on the graphics screen. Also obtain samples of x-y data of graphs or functions. Using x-y data, curve-fit and plot. Use 3 choice backgrounds and draw with a selection of colors. Compute list functions, exponential functions, statistical, and various special functions. Define your own functions and variables, store them on external SD card and reload them back into internal memory. Do multiple conversions between primary units. Compute properties of simple geometric figures. Install or move the application to an SD card. Choose any previous command from a history list. Read the built-in function list -- upon long pressing the result -- and the helpful summary information to bring the function into input. Use help to determine valid values for the parameters for built-in functions. With recent improvements, swipe left and swipe right on the special function keys to find the keys you want easily. Position the coordinate lines precisely with left and right arrow controls on the graph screen. Find the scale and zoom level upon touch in a floating window display. Pinch with two fingers to zoom in and zoom out of the graphs. To find zero, repeatedly touch the result (R button) on graphics screen. If possible, you can find different zeros each time within a given range. With SCalc , you do not need to visit a help website or usage manual as plenty of easy to read instructions are provided with every step of calculation. These help messages can be turned off once you are familiar with the usage. When there is an error in the input, SCalc highlights the exact location of error in the input. Care has been taken in the design of the interface, so users with or without a keyboard can get the same functionality and ease of use. To use international versions, set the input language for on screen keyboard to be example, if a user were to write a new program inside of 'Droid48', the user can then use 'Droid48 Reader' to extract this program as a stand-alone file onto their SD card. From here, the user can do whatever they normally would do with this file such as simply store the program for archival purposes, download this file into a real HP 48 calculator, share it with a friend to load into their own Droid48, or post it on the Internet at sites like (note: these are beyond the scope of 'Droid48 Reader').
As another example, the user can read a large stand-alone file that is an HP 48 directory file, navigate to an algebraic equation, then share this algebraic equation via email (requires a separate Android email program that supports sharing).
A stand-alone HP 48 file is a file for the Hewlett-Packard 48-series of calculators (ex: HP 48S, 48SX, 48G, 48G+, and 48GX). More can be read on these calculators on Wikipedia.
'Droid48' is an Android program which emulates an HP 48GX calculator on Android. It is independently developed (not developed by Drehersoft) and is a separate program from 'Droid48 Reader'. 'Droid48' is available on Google Play.
When using 'Droid48 Reader' with 'Droid48', it is important to first use the Save memory/state menu in 'Droid48'. This saves its data to the SD card. After doing this, return to 'Droid48 Reader' and select Refresh Droid48 from the menu.
Draw 15 graphs including parametric and polar functions. Compute 9 commands like integrals, derivatives, zeros, min and max values of cartesian functions. See the results graphically on the screen. Track x-y values. Zoom in and zoom out. Users can input data in separate files and export to the graphing engine. Graph images can be saved as .png files with white background for easier printing. With more than 150 builtin function library, it is easier to draw graphs of curve fitted data, including polynomial best fit. Draw scatter plots with standard deviations. Choose various colors for the graphs and a choice of three background colors.
To enter input in international versions, set the input language for onscreen keyboard to be english.
With more than 100 built-in functions, special functions, and forms to enter matrix and list data, ZCalc calculates matrix inversions, LU decompositions, definite integrals, derivatives and zeros of simple functions. Switch to increasingly complex layouts, solve equations, compute statistical and list functions. To use international versions, set the input language for onscreen keyboard to be English. | 677.169 | 1 |
Algebra 1
9780078738227
ISBN:
0078738229
Pub Date: 2007 Publisher: McGraw-Hill Higher Education
Summary: THE PROGRAM STUDENTS NEED; THE FOCUS TEACHERS WANT! "Glencoe Algebra 1" is a key program in our vertically aligned high school mathematics series developed to help all students achieve a better understanding of mathematics and improve their mathematics scores on today's high-stakes assessments.
McGraw-Hill Staff is the author of Algebra 1, published 2007 under ISBN 9780078738227 and 0078738229. Six hundred f...orty nine Algebra 1 textbooks are available for sale on ValoreBooks.com, four hundred ninety eight used from the cheapest price of $14.70, or buy new starting at $73.48 | 677.169 | 1 |
UT Tyler Department of Mathematics
Computing Facilities
Computerized Classrooms and Laboratories
All student-access computers in the Department of Mathematics are administered via the Patriots domain, the regular login credentials used by students campuswide for labs, Blackboard and myUTTyler. These computers are configured with all normal campus software (Microsoft Office, etc.) as well as software specifically useful for teaching and learning mathematics: Mathematica, Matlab, R, Geometer's Sketchpad, and other programs.
RBN 4021 - The Mathematics Learning Center (MLC) This room is equipped with 40 workstations with 17" LCD monitors. This is our open access computer lab for math students, with tutors on duty to assist students who are enrolled in early-career courses.
RBN 4019 This room is equipped with 16 workstations with 17" LCD monitors. While this is the smaller of our two computer classrooms, every seat in the room is at a computer.
RBN 4027 This room is equipped with 20 workstations with 17" LCD monitors. This is the largest of our two classrooms and has fewer computers to allow students more ease in seeing the front of the class. Nearly every seat in the classroom is either at or adjacent to a computer. Having the open visibility coupled with the access to computers makes this classroom ideal for teaching any computationally-intensive course, particularly:
MATH 3380 -- Algorithms in Applied Mathematics.
MATH 4350 -- Theory of Probability.
MATH 4351 -- Applied Statistics.
MATH 4380 -- Modeling and Numerical Analysis.
The Arts and Sciences / Engineering High Performace Computing Cluster
This computing cluster is a joint venture between the College of Arts and Sciences and the College of Engineering and Computer Science. This cluster has 23 nodes, each with two Quad Core Xeon processors (2.66 GHz), 16 GB Ram, two 160 GB hard drives configured for RAID 1. It is used for faculty research and faculty-mentored student research | 677.169 | 1 |
Students take this course after successfully completing a college level math course at Clinton Community College (CCC) or another recognized institution (e.g. MAT101 or higher or equivalent). Students may also place directly into this course by scoring sufficiently high on the CCC math placement exam or by recommendation of a math faculty member.
This course is taken by students of a wide variety of academic programs of study. Some programs of study that require or recommend this course are humanities, social science, education, business, math, and science.
This course is a study of basic statistical techniques and some related probability theory. Course topics include data collection and presentation, measures of central tendency and dispersion, grouping and graphing data sets, linear correlation and regression, sampling distributions, estimation, and hypothesis testing. Distribution studies include the binomial, normal, and student 's t. At least one student project is required for this course. The use of a graphing calculator is required for this course to further the exploration of these topics and their applications.
The Math Department at CCC recommends that you review the following prerequisite topics before beginning MAT161: order of operations, solving linear equations, graphing linear functions, linear regression, and probability. You can do this from home by selecting any of the aforementioned topics on the math-tutorial websites listed below; there you will find mini-lectures, worked problems, practice problems and helpful tips. | 677.169 | 1 |
This textbook is written for everyone who has experienced challenges learning Calculus. This book really teaches you, helps you understand and master Calculus through clear and meaningful explanations of all the ideas, concepts, problems and procedures of Calculus, effective problem solving skills and strategies, fully worked problems with complete, step-by-step explanations.
One of the best ways to succeed in Algebra is to practice taking real test questions. This ebook contains over 1,000 problems on Algebra divided into thirty-two chapters. Try the problems. Check your answers. With a little Practice, Practice, Practice, you'll be Perfect, Perfect, Perfect. Good Luck!
This International Bestselling book on Vedic Mathematics which will help you do calculations and solve complicated math questions in a matter of a few seconds. Extremely helpful for students giving GMAT, GRE, CAT, SAT, CET and other entrance exams. Over 150,000 copies sold in 14 languages worldwide
This book is for you if you would like to be involved in your school-going kid's math education and need to get your own basics right, or if you decided to extend your education, may be involving some computer programming, or statistics and want to be up to speed in junior high school math before taking the next step. This is not on teaching techniques.
Math is a special and important learning in education. Even though Math is hard to some people, it is not hard to learn if you follow a good guide. This book is a good guide that will help high/middle school students learn basic and advanced skills with important concepts and skills carefully designed into questions and solution for students to master. This book will escort you to your success.
Are you taking calculus right now and it's kicking your butt? You're not alone; when I was teaching calculus, I realized that textbooks suck!
I wrote the Practically Cheating Calculus Handbook so that you don't have to struggle any more. This handbook contains hundreds of step-by-step explanations for calculus problems from differentiation to differential equations -- in plain English!Learn Mathematics on your SmartphoneMathematics Author of the book, Kiran Anil Parulekar has been researching number theory and practical numbers. He is a number wizard and carries a vast experience in Elementary Number Theory and Calculation of Numbers. "Amazing Properties of Squares & Their Calculations" is the result of Kiran's personal experience in working with large natural numbers over a period of 25 year.
Not a C Minus is a comprehensive study aid for senior high school Mathematics. It covers topics such as calculus, probability, finance and trigonometry, and uses a conversational, informal teaching style. Every topic is explained in detail, with sample questions and worked solutions.
GCSE MathsGCSE Maths Teachers Pack V10-Learn GCSE Maths on your Smartphone | 677.169 | 1 |
With the help of this quick study guide, your teen should be able to breeze through 12th grade algebra. There will be principles explained in an easy-to-understand manner as well as plenty of examples to instill concepts in the memory. Using this guide,
College algebra is just one of those things that have kept students in college longer than expected because it's mind-boggling. But it can be made solvable with the use of this quick study guide. With its brilliant explanations and numerical representations,
Foundations of Galois Theory is an introduction to group theory, field theory, and the basic concepts of abstract algebra. The text is divided into two parts. Part I presents the elements of Galois Theory, in which chapters are devoted to the presentation
Lie Algebras is based on lectures given by the author at the Institute of Mathematics, Academia Sinica. This book discusses the fundamentals of the Lie algebras theory formulated by S. Lie. The author explains that Lie algebras are algebraic structures
Lectures in General Algebra is a translation from the Russian and is based on lectures on specialized courses in general algebra at Moscow University. The book starts with the basics of algebra. The text briefly describes the theory of sets, binary relations,
Intended for a serious first course or a second course, this textbook will carry students beyond eigenvalues and eigenvectors to the classification of bilinear forms, to normal matrices, to spectral decompositions, and to the Jordan form. The authors approach
A Selection of Problems in the Theory of Numbers focuses on mathematical problems within the boundaries of geometry and arithmetic, including an introduction to prime numbers. This book discusses the conjecture of Goldbach; hypothesis of Gilbreath; decomposition
Mathematical Analysis: Differentiation and Integration is devoted to two basic operations of mathematical analysis, differentiation and integration. The problems directly connected with the operations of differentiation and integration of functions of
Contributions to Universal Algebra focuses on the study of algebra. The compilation first discusses the congruence lattice of pseudo-simple algebras; elementary properties of limit reduced powers with applications to Boolean powers; and congruent lattices
Modern Syllabus Algebra presents topics of traditional and modern algebra found in the Teachers Certificate and B.Ed, part I syllabuses of University Institutes of Education. It also contains additional exercises taken from examination papers of the University
Lattice Theory presents an elementary account of a significant branch of contemporary mathematics concerning lattice theory. This book discusses the unusual features, which include the presentation and exploitation of partitions of a finite set. Organized | 677.169 | 1 |
The 100+ Series: Intro to Geometry, Grades 5 - 8 (REVISION OF IF8763)
This revised edition of Intro to Geometry links all the activities to the NCTM Standards. The activities were designed to provide students with practice in the skill areas required to understand basic geometry concepts. Activities that focus on congruence and similarity, classifying various kinds of angles and triangles, transformations, parallel and perpendicular lines, properties of geometric figures, arcs and chords, and finding surface area and volume are all part of the new edition. Examples of solution methods are presented at the top of each page. New puzzles and riddles have been added to gauge the success of the concepts learned. Contains complete answer key. 128 pp | 677.169 | 1 |
- Result History. - Unit conversion. - 10 memories customizable and fast access memory. - Large database of math and physical constants, arranged in groups. - You can add new constants (adding the name, value, symbol ...) and edit existing ones. - Customization of keypad for quick access to the most used constantsSimilarNHN-1 is a free advanced engineering and scientific calculator with a transparent widget that has fractions and percentage:
•A resizeable widget with arithmetic, percentage button, and fractions. •Expression (formula) based input. •Fraction input and output with conversion to proper fraction, mixed fraction and decimal. Even the quadratic or cubic root functions, for instance, will return fractions when the answer can be written as a fraction. •Full history with buttons that load old results, in case you need to start over from a previous point. •Unlimited memory slots that can be named and are always displayed on screen. •Multiple input fields except on small phones. This let's you do short side calculations without losing your place. •Pre-packaged functions for quadratic equations as well as many geometric formulae. •Buttons that store user defined functions that are created by binding an argument to a binary operator. •Visualization of multivalued complex functions (roots, inverse trigonometric, logarithm) •Visualization of quadratic and cubic functions •Visualization of angles returned from inverse trigonometric functions. •Complex numbers are very easy to work with, and all functions work with complex numbers where they are defined (inverse hyperbolic cosine, for instance). •There is a fourth layout for small phones that is not shown in the screen shots. •A unit conversion utility that lets you build arbitrary composite units. Conversion factors are written to the history, so you can bind the factor with multiplication to do the same conversion many times.
The layouts are designed to be ergonomic for each of four device sizes in portrait and landscape. Here are some examples of what we've done to make the calculator easy and speedy to work with: •On small tablets in landscape, the keys are split so you can operate the calculator with two thumbs. •On small phones, the numeric keypad is right under your thumb when holding the device with one hand. •Square root, square, inverse and negation are all close to the numeric keypad. •On small tablets, the long "NHN-1" button is a gesture recognizer that lets you scroll the six input fields with your left thumb. That way you don't have to let go of the device with your right hand to click an input field.
This application has been designed and engineered for easy operation at any level. The Natural Display and enhanced features makes it versatile and the perfect choice for high school and college students alikeThis application has been designed and engineered for easy operation at any level. The Natural Display and enhanced features makes it versatile and the perfect choice for high school and college students alike.
As a powerful emulator of HP 15C Scientific Calculator, Vicinno 15C Scientific Calculator provides all functions | 677.169 | 1 |
Introduction to Abstract Algebra
9781420063714
ISBN:
1420063715
Pub Date: 2008 Publisher: Taylor & Francis, Inc.
Summary: Taking a slightly different approach from similar texts, Introduction to Abstract Algebrapresents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from first principles.A Quick Introduction to AlgebraThe first three chapters of the book show how functional composition, cycl...e notation for permutations, and matrix notation for linear functions provide techniques for practical computation. The author also uses equivalence relations to introduce rational numbers and modular arithmetic as well as to present the first isomorphism theorem at the set level.The Basics of Abstract Algebra for a First-Semester CourseSubsequent chapters cover orthogonal groups, stochastic matrices, Lagrange's theorem, and groups of units of monoids. The text also deals with homomorphisms, which lead to Cayley's theorem of reducing abstract groups to concrete groups of permutations. It then explores rings, integral domains, and fields.Advanced Topics for a Second-Semester CourseThe final, mostly self-contained chapters delve deeper into the theory of rings, fields, and groups. They discuss modules (such as vector spaces and abelian groups), group theory, and quasigroups.
Smith, Jonathan D. H. is the author of Introduction to Abstract Algebra, published 2008 under ISBN 9781420063714 and 1420063715. Three hundred fourteen Introduction to Abstract Algebra textbooks are available for sale on ValoreBooks.com, fifty five used from the cheapest price of $38.60, or buy new starting at $35.43.[read more | 677.169 | 1 |
MATH 245 - Linear Algebra
Linear algebra is central to both pure and applied mathematics. It studies the algebraic properties of linear equations in multiple variables. Applications are found in nearly every branch of science, especially in engineering, physics, the natural sciences computer science and the social sciences (particularly in economics). Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Nonlinear mathematical models are often approximated by linear ones in order to use the well-developed techniques of linear algebra. This course studies the structure of vector spaces, operations with vectors and matrices, linear transformations, and the concepts of eigenvalues, eigenvectors and orthogonality. The topics and techniques studied can be further generalized and extended to abstract algebra, and are foundational to topics encountered in differential equations and mathematical modeling.
MATH 333 - Differential Equations
Differential equations play an important role in the mathematical modeling of physical, technical or biological processes, from celestial motion, to bridge design, to interactions between neurons. Any time-dependent phenomenon can be modeled by an equation describing the rate at which it changes (i.e. a differential equation), which can then be solved to obtain a predictive model. This course studies the differential equations used in mathematical modeling, as well as various analytical, numerical and graphical methods of solving them.
MATH 364 - Mathematical Modeling
Mathematical Modeling (MATH 364) focuses on various techniques used to translate a real life phenomenon into a mathematical framework (model). This course covers a wide variety of models: spatial and time-dependent, discrete and continuous, deterministic and stochastic, and various the mathematical tools (difference equations, differential equations, Markov chains). These modeling techniques are illustrated through several examples taken from different fields of application (engineering, economics, ecology, pharmacology, and biology).
MATH 385 - Topics in Applied Math
Topics in Applied Math (MATH 385) is a course with a special focus that changes every time the course is offered (so it is possible to take this course multiple times). Each focus area is an area outside of mathematics in which important mathematical theory and methods are used. Examples of past Topics courses include:
Numerical Analysis: the study of algorithms that use numerical approximation to solve mathematical problems that cannot be solved algebraically. These algorithms are at the core of any method involving a computer such as rootfinding, interpolation, numerical differentiation, integration and methods for solving differential equations.
Study and analysis of the CWS model, a compartment dynamical system model using a nonlinear system of ODEs to model the distribution of Amyloid-beta proteins in the brain. This model is used for the prevention and treatment of Alzheimer's disease.
Digital Signal Processing / Digital Shortwave Radio
Computational Epidemiology
Agricultural Modeling
Cryptography
Structural Mechanics applied to Earthquake-Resistant Structures
Chaos Theory in Dynamical Systems
Partial Differential Equations
MATH 363 - Probability and Statistics I
This introduction focuses primarily on building a strong foundation in the basics probability theory, which in turn provides the knowledge needed for the statistical analysis methods taught in the second course. The course covers basic probabilities using counting techniques and then moves on to random variables and distribution theory.
MATH 463 - Probability and Statistics II
The second course covers the most widely used statistical methods, including estimation with confidence intervals and analysis of variance. There is also a modeling component via regression analysis, a unit on nonparametric techniques and a brief introduction to Bayesian methods. Students in this course learn and use the R software package, which is one of the most commonly used statistical programming languages. | 677.169 | 1 |
Discrete Mathematics for Computer Science" is the perfect text to combine the fields of mathematics and computer science. Written by leading academics in the field of computer science, readers will gain the skills needed to write and understand the concept of proof. This text teaches all the math, with the exception of linear algebra, that is needed to succeed in computer science. The book explores the topics of basic combinatorics, number and graph theory, logic and proof techniques, and many more. Appropriate for large or small class sizes or self study for the motivated professional reader. Assumes familiarity with data structures. Early treatment of number theory and combinatorics allow readers to explore RSA encryption early and also to encourage them to use their knowledge of hashing and trees (from CS2) before those topics are covered in this course.
Editorial Reviews
From the Back Cover
Discrete Mathematics for Computer Scientists provides computer science students the foundation they need in discrete mathematics. It gives thorough coverage to topics that have great importance to computer scientists and provides a motivating computer science example for each math topic, helping answer the age-old question, "Why do we have to learn this?"
Suitable for either lecture-only or fully-interactive, collaborative course environments
Intended for students who have completed, or are simultaneously studying, data structures (CS2)Instructors, request your exam copies online and get instant access. Learn more at coursesmart.com.
--This text refers to an out of print or unavailable edition of this title.
About the Author
Clifford Stein is a Professor of IEOR at Columbia University. He also holds an appointment in the Department of Computer Science. He is the director of Undergraduate Programs for the IEOR Department. Prior to joining Columbia, he spent 9 years as an Assistant and Associate Professor in the Dartmouth College Department of Computer Science.
His research interests include the design and analysis of algorithms, combinatorial optimization, operations research, network algorithms, scheduling, algorithm engineering and computational biology. Professor Stein has published many influential papers in the leading conferences and journals in his field, and has occupied a variety of editorial positions including the journals ACM Transactions on Algorithms, Mathematical Programming, Journal of Algorithms, SIAM Journal on Discrete Mathematics and Operations Research Letters. His work has been supported by the National Science Foundation and Sloan Foundation. He is the winner of several prestigious awards including an NSF Career Award, an Alfred Sloan Research Fellowship and the Karen Wetterhahn Award for Distinguished Creative or Scholarly Achievement. He is also the co-author of two textbooks: Discrete Math for Computer Science with Scot Drysdale and Introduction to Algorithms, with T. Cormen, C. Leiserson and R. Rivest—the best-selling textbook in algorithms, which has been translated into 8 languages.
(Robert L.) Scot Drysdale, III is a professor of Computer Science at Dartmouth College and served as Chair of the Computer Science department for eight years. His main research area is algorithms, primarily computational geometry. He is best known for papers describing algorithms for computing variants of a geometric structure called the Voronoi Diagram and algorithms that use the Voronoi Diagram to solve other problems in computational geometry. He has also developed algorithms for planning and testing the correctness of tool path movements in Numerical Control (NC) machining. His work has been supported by grants from the National Science Foundation and Ford Motor Company and he was awarded a Fulbright Fellowship.
He has also made contributions to education. He is a winner of the Dartmouth Distinguished Teaching award. He was a member of the development committee for the AP exam in computer science for four years during its transition from C++ to Java and then chaired the committee for three years. He has been Principal Lecturer for DIMACS and NSF workshops and was co-director of a DIMACS institute. He was a faculty member of the ACM/MAA Institute for Retraining in Computer Science for five years.
evaluated this book for possible adoption in a course in introductory discrete mathematics. My decision was that I would not use it in the course. One primary reason is that there are no sections devoted to set theory and functions. Most of the introductory material in these areas is included in the book, but only in conjunction with other topics, such as counting, solving recurrences and computing probabilities. In my experience, students need to be exposed to the material as a point of emphasis, rather than embedded inside other topics.
The first chapter introduces the basic principles of counting, permutations, combinations, binomial coefficients and a section on equivalence relations that is considered optional. This is because it is not used again in later chapters, something I don't agree with. Chapter two deals with cryptography and number theory. While I have no objection to this material in a discrete mathematics course, I prefer that it be put off to the latter part of the course. In chapter three, the logic of propositions and predicates as well as the laws of inference are examined. I generally prefer more coverage of these areas. Chapter four is 84 pages and covers induction, recursion and recurrence relations. Taking up approximately one fourth of the book, the coverage is complete. Probability is covered in chapter 5 and graph theory in chapter 6. The coverage in both is fairly typical, so I have no positive or negative comments on either one. Relations are covered in depth in an appendix. Solutions to the odd exercises are included in an appendix.
Since I prefer to start my discrete mathematics course by covering set theory, functions and logic, I have removed this book for adoption consideration.
As an experienced teacher working on a second bachelor's in preparation for a master's, I am saddened to report this is very possibly the worst textbook I have ever seen in my entire educational life.
Two words summarize the flaws in this alleged textbook: jargon and assumptions.
Every sentence sent me to the math dictionary at least twice. I continually questioned why the writer chose not to use plain language when it was suitable, possible, and appropriate.
To make matters worse, each section begins and is riddled with exercises that assume the reader's understanding of the material. Then, the writer adds insult to injury by relying on those assumptions and referencing the opening exercises as if the exercise taught you something. Whatever happened to teach, example, and exercise? Beginning and inundating the sections with exercises that preempted the scant instruction completely convoluted the entire learning process and destroyed any sense of continuity.
In the end, to use the book I first had to try to identify what the writer was trying to teach, and that wasn't always possible. After scavenging internet math dictionaries to pin down the topic, I then had to further troll the internet to find sites that taught it in a way that would help me understand the book. Even then I had to waste obscene amounts of time sifting through exercise text to isolate the relevant instruction.
Maybe this book was written for postgraduate readers, because if you didn't know the subject matter already, you're not likely learning it from this text.
After struggling for the first month or two in my discrete math course using this book, I turned to the Rosen on course reserves and came to the conclusion that the prof who decided to use the Stein, Drysdale, and Bogart must either be a sadist or really have no idea how people learn. Or perhaps he never read the course description. The book recommends that students already be familiar with computer programming while the course I am taking required only calc 1. In general I feel very let down by whoever chose this book, as I learned later on that the only reason for picking it over the Rosen (the tried and true book that had previously been on the book-list) was simply that the Rosen was too heavy.
If it were just that the SBD is difficult to understand at times I wouldn't be writing this- after all, it's still a technical subject and one can expect that sort of thing. But the book's inadequacy is so pervasive that even simple, intuitive concepts are made complicated. What adds insult to injury is the very wanting exercise sections at the back of each section- no more than 15 or so problems.
I broke down a week ago and bought my own copy of Rosen's Discrete Mathematics and its Applications. I think it was the best decision I made all term and I only wish I had done so sooner. Two to three times the examples per section and generally more sections (so a wider and deeper coverage than SDB). Far more intuitive language, not to mention the more reasonable notation style. And most importantly, whereas SDB stops after giving proofs, Rosen goes into how to actually compute things.
First thing I'm doing after finals is burning the SDB, after that I'll bury its ashes in an unmarked grave. I wouldn't try to sell it anywhere because I'm not evil and I don't want someone else to have to struggle through it. | 677.169 | 1 |
Prealgebra Solved! is a mathematical tool designed to solve YOUR pre-algebra and basic math problems ?straight from the textbook! Its unique style and power make Prealgebra Solved! one of the best all-around pre-algebra learning tools available today. Infinite examples, step-by-step explanations, practice test creation, detailed graphs, and guided user input are just a few of the many features available, all with a remarkably easy-to-use graphical interface. | 677.169 | 1 |
About the book
This eBook introduces the subject of handling data, considers both information and data, probability and chance as well as the various styles of tables, pictograms, graphs, charts along with the concept of average.
This eBook is part of our range of Grades 3, 4 & 5 math eBooks that are fully aligned with the North American math curriculum.
Our math eBooks are produced such as that as well as a Publications Guide, and three principle publications corresponding to the principle sections (Number and Algebra, Shape, Space and Measures as well as Handling Data) there are individual modules produced within each principle section which are published as eBooks.
After studying Elementary School 'Grades 3, 4 & 5 - Math – Handling Data - Ages 7-11' eBook your child should be confidently able to: -process, represent and interpret data. -solve problems involving data. -interpret tables, lists and charts as used in everyday life; to be able to construct and interpret tables, frequency tables and grouped discrete data. -represent and interpret discrete data using graphs and diagrams, including pictograms, bar charts and line graphs, then interpret a wider range of graphs and diagrams, using ICT where appropriate. -know that mode is a measure of average and that range is a measure of spread, and to use both ideas to describe data sets. -recognise the difference between discrete and continuous data as well as to be able to draw conclusions from statistics and graphs. -recognise when information is presented in a misleading way; explore doubt and certainty and develop an understanding of probability through classroom situations. -discuss events using a vocabulary that includes the words 'equally likely', 'fair', 'unfair', 'certain'.
Upon writing close to 200 maths eBooks and receiving at times some poor reviews, I was shocked somewhat, not by the complexity, majestic beauty and ornate utility of maths, and mathematics, but by the degree of difficulty that so many students of all ages experienced when studying, attempting to study, reviewing or learning from the variety of available mathematical literature. This shock extended not only to the fields of education, but also to the domains of engineering, science, finance, commerce and trade. It was rightfully illuminated, and mindfully made clear that the vast majority of the population had great difficulty reading, assimilating and learning the fundamental principles of this noble subject. No wonder I was being misunderstood !!!
Something needed to be done to change this. It was as if people where viewing and reviewing my maths eBooks through the wrong end of the telescope. - just as Dr Seuss indicated.
I am, by way of education, training , learning and experience a 'doctor of electronics research', an 'engineer, Architect, scientist' with special interests in 'mathematics, research, communications, electronics, signal processing and internet mobility', language, literature, phonics, music and linguistics' as well as 'art, architecture, archaeology, history, geography and humanities' who has designed, developed, produced and published 5 (five) series of English language mathematics eBooks which are distributed via partnerships including smashwords as well as their distribution partners (Apple, Kobo, Barnes and Noble, et al). Our maths eBooks are of the highest academic quality and suitable as standard as well as supplementary texts for primary and secondary school students of the UK as well as the elementary, middle (junior high), high (secondary) school student market in North America. They are suitable for schoolchildren in the age range 5-18 as well as mature students, particularly those wishing to use SOA (state of the art) mathematical techniques and principles in the engineering, architectural, scientific, medical, financial, data and statistical fields of commerce and business.
At Bristol University I studied for an honours degree in electrical and electronic engineering, obtaining a B.Sc.(Eng.) honours degree, and subsequently at Kings College London, University of London, I studied at the prestigious 5* centre for telecommunications research and received both the MPhil (Master of Philosophy) and PhD (Doctor of Philosophy) degree qualifications in electronics research. My PhD thesis' title was 'A Voyage Into Quantum Mobility'.
I consider myself to be among the best electronics architects in Europe, but must acknowledge those learned gentlemen who heralded the birth of the Internet in the 1960's and earlier, as well as prior exponents of the 'Founding Fathers of Communication Systems', whose work and expertise I have been able to incorporate into my designs. Ta tu failte.read more | 677.169 | 1 |
Search for calculus
This is the definitive app for calculus!Simply insert your function into The Calculus Curve Sketching App.Features:- derivative- second derivative- third derivative- antiderivatives- zeros of the func...
Study Guide To Calculus is the complete guide, covering the basics to the advanced, full of pictures and useful reference guides to get you all the information you need to have a compete understanding...
Sci Calculus is a professional scientific and graphics calculator with many useful features. In addition to the classic functions of a scientific calculator this application is also able to calculate ...
Why study harder when you can study smarter?This powerful application contains a rich collection of examples, tutorials, and solvers for the following topics:- Completing the Square- Quadratic Functio...
Calculus has been known to bring students to tears. Now you have an expert in your corner. This application contains a rich collection of examples, tutorials and solvers, crafted by a professional m...
Forget taking down calculus formulas on a paper! Calculus Quick Reference lists down all the important formulas and evaluation techniques used in calculus which makes it easier for you to memorize and...
Use the power of your brain and see how good you can get in this Mental Calculus game== Main Screen ==Change player name or access high score by pressing menuChoose what type of calculus method you wa...
PreCalculus Buddy is a reference manual for students in technical and engineering programs. The app covers hundreds of definitions and rules, and has an user friendly and intuitive interface. Many of ...
You will use it from high school all the way to graduate school and beyond.FeaturesIncludes both Calculus I and IIClear and concise explanationsDifficult concepts are explained in simple termsIllustra...
Calculus may not seem very important to you but the lessons and skills you learn will be with for your whole lifetime!Calculus is the mathematical study of continuous change. It helps you practice and...
For a $Pi donation, you can gain access to the beta release channel for Calculus Tools. New feature updates will be pushed out more quickly, but they may not be entirely stable or fully functional.Ne...
Excel HSC Mathematics Quick Study is the perfect tool for studying and revising on the go! This app is designed specifically for the HSC Mathematics course. There are two parts to the app: 1. HSC stud...
Genius Kids Maths is a funny mental math game for kids of all ages.- The children choose their options by themselves - math drills with the 4 operations (addition, subtraction, multiplication and divi...
This is an informative app consisting of interesting facts, tricks and tips in mathematics.Must have for any school/college going student. It'll help you solve calculations quickly. You can learn tric | 677.169 | 1 |
Academic Skills Center for Accounting, Econ, and Math
Room C201
The Math Spot is an academic skills center located in C-201 that provides tutoring services to students who are enrolled in an accounting, economics, or mathematics course. The Math Spot's mission and goal is to create an open atmosphere that promotes learning and provide services that assist students in achieving academic success. The center coordinates and provides study skills training for students. Cooperative and collaborative learning is also provided at the Math Spot as students utilize the area to meet with study groups and peer-tutors.
Summer I Hours:
Monday – Thursday
9:00am - 7:00pm
Friday
10:00am - 2:00pm
*** Math Spot is CLOSED on Friday, July 3, 2015 for July 4th Holiday *** | 677.169 | 1 |
Search Results
HotBits is a genuine random number generator powered by radioactive decay. Simply click the "Request HotBits" link, and specify how many bytes you would like (up to 2048) and in what form you prefer them. Hexadecimal...
This is an introductory course in discrete mathematics oriented toward students interested in computer science and engineering. The course divides roughly into thirds: fundamental concepts of mathematics: definitions,...
A research site with papers to download, links to researchers, a newsletter, etc. Analysis of Algorithms (AofA) is a field in computer science whose overall goal is an understanding of the complexity of algorithms....
In this activity, students will generate scatter plots and use regression and logarithms to explore a dataset with time and temperature data for an insulation pack. Questions about the exercise are given at the bottom... | 677.169 | 1 |
Math Assignment Help
Mathematics is the abstract science of number, quantity, and space, either as abstract concepts or as applied to other disciplines such as physics and engineering.
Mathematics evolved as an ever-expanding series of abstractions or subject matter. Mathematics emerged with the abstraction of numbers. It was a realization that a pair of legs and a pair of hands has something in common and that is the quantity of them, the number which was coined to be called as "2."
Areas of Mathematics:
Calculus: Calculus is a major branch of mathematics which includes various topics like Relations and functions, Limits and Continuity, Differentiation and Differential equations, Indefinite integrals and definite integrals, Application of derivatives and various series.
Trigonometry: Trigonometry is the study of triangles. It's about analyzing the relationship between the sides of triangles and their relation with the angles.
Geometry: Geometry is the study of points, lines, surfaces, solids, and higher dimensional analogues, and their properties.
Linear Algebra: Linear algebra deals with vector spaces and the linear mappings between them along with lines, planes, and subspaces.
Discrete Mathematics: Discrete mathematics deals with discrete mathematical structures rather than continuous objects. Discrete objects are those which are separated from each other and have no neighbors whatsoever.
Engineering Mathematics: Engineering Mathematics comes under applied Mathematics which studies the application of Mathematics in the engineering industry.
Topology: Topology is a branch of mathematics that deals with geometrical properties and spatial relations unaffected by the continuous change of shape or size of figures.
Boolean Algebra: Boolean algebra is the logical calculus of truth values and is a part of abstract algebra.
Topics covered under Mathematics:
Circle: A circle is the locus of a point which moves in a plane such that its distance from a fixed point is always constant. The fixed point is called the center of the circle and the constant distance, the radius of the circle.
Parabola: The locus of a point which moves in such a way that the distance from a fixed point called focus equals perpendicular distance from a fixed straight line called the directrix.
Probability: Probability denotes the possibility of occurrence or non-occurrence of an event. It represents how likely we can expect an event to happen.
Ellipse: An ellipse is the locus of a point which moves in a plane such that the ratio of its distances from a fixed point (called focus) and from a fixed straight line (called directrix) is always constant and less than 1. And this constant ratio is called the eccentricity of the ellipse.
Matrices: A matrix is an array of numbers, which are usually real numbers, arranged into a fixed number of rows and columns.
Hyperbola: A hyperbola is the locus of a point which moves such that, ratio of its distance from a fixed point (focus) and its distance from a fixed straight line (directrix), is a constant (eccentricity). This constant (eccentricity) is greater than unity.
Binomial Theorem: Any formula by which any power of a binomial expression can be expanded in the form of a series is known as Binomial Theorem | 677.169 | 1 |
In this course, you will be Introduced to several methods of numerical approximation such as error analysis, root finding,...
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In this course, you will be Introduced to several methods of numerical approximation such as error analysis, root finding, interpolation, polynomial approximation and the direct methods for solving linear equations Numerical Analysis to your Bookmark Collection or Course ePortfolio
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In this course, you will be Introduced to several numerical approximation methods such as interpolation: divided difference,...
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In this course, you will be Introduced to several numerical approximation methods such as interpolation: divided difference, polynomial approximations, iterative methods for solving linear systems, numerical differentiation and numerical integration Numerical Analysis to your Bookmark Collection or Course ePortfolio
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Open Education Resources, or OERs, is a concept that's capture the imagination of faculty around the world who are looking to...
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Open Education Resources, or OERs, is a concept that's capture the imagination of faculty around the world who are looking to either find free and open resources to use with their students, or to contribute their own resources for other faculty to use.But beyond a general sense of wanting to give students free access to high-quality course material, what does OER mean? Where can resources be found? And where can materials be placed?This course is designed to provide a very brief overview of these issues, with the goal of getting faculty up-and-running very quickly. There is no shortage of information about OERs. The trick is finding the time to read all of it. This class, designed to be completed in around 20 minutes, is a carefully curated collection of the best links pertaining to OER.This class was created by the CUNY Open Education Resources (OER) Group (Links to an external site.).The files for this class can be found on GitHub: (Links to an external siteER101: Introduction to Open Education Resources - A 20-minute Course to your Bookmark Collection or Course ePortfolio
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This course was adopted from the City University of New York and adapted for the State University of New York. It is designed...
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This course was adopted from the City University of New York and adapted for the State University of New York. It is designed for faculty, librarians, instructional designers, and other interested staff who want a quick and practical jump start in understanding, locating, evaluating, and using OERS OERs to your Bookmark Collection or Course ePortfolio
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Pick a Bookmark Collection or Course free online course is offered as audio lectures on iTunes.'The study of age-related cognitive, social and emotional...
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This is a course that consists of 28 audio lectures found on iTunes'UC Davis psychology lecturer Victoria Cross delivers this...
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Select this link to open drop down to add material Developmental Psychology to your Bookmark Collection or Course ePortfolio | 677.169 | 1 |
There are many different fields of mathematics every student will encounter. This handy guide provides you with information on each type and what to expect.
Ad
Steps
1
Understand that mathematics consists of a broad range of topics and is not a single subject. The following steps detail the different areas with which you will need to become familiar as you are studying mathematics.
Ad
2
Begin with arithmetic. Arithmetic is the first branch of mathematics that you will have studied in elementary and middle school. It deals with the study of numbers and the use of the four fundamental processes:
Addition
Subtraction
Multiplication
Division
3
Be aware that arithmetic is everyday math. It is important to get a solid grounding in this aspect of mathematics because you use it in your personal affairs, and arithmetic is the basis for most other mathematics.
4
Learn about algebra. Algebra is used widely to solve problems in business, industry, and science by using symbols, such as x and y, to represent unknown values. The power of algebra is that it enables us to create, write, and rewrite problem–solving formulas. Without algebra, we would not have many of the items we use on a daily basis, for example, television, radio, telephone, microwave oven, etc.
5
Proceed to geometry. Geometry is the branch of mathematics that deals with shapes. More specifically, geometry is the study of relations, properties, and measurements of solids, surfaces, lines, and angles. It is most useful in building or measuring things. Architects, astronomers, construction engineers, navigators, and surveyors are just a few professionals who rely on geometry.
6
Become familiar with trigonometry. Trigonometry is mathematics that deals with triangular measurements. Plane trigonometry computes the relationships between the sides of triangles on level surfaces called planes. Spherical trigonometry studies the triangles on the surface of a sphere.
7
Learn calculus. Calculus is high-level mathematics dealing with rates of change. It has many practical applications in engineering, physics, and other branches of science. Using calculus, we understand and explain how water flows, the sun shines, the wind blows, and the planets cycle through the heavens. Differential calculus deals with the rate of change of one quantity with respect to another, for example the rate at which an object's speed changes with respect to time. Integral calculus deals with adding up the effects of continuously changing quantities, for example, computing the distance covered by an object when its speeds over a time interval are known.
8
Understand the field of probability. Probability is the study of the likelihood of an event's occurrence. It is useful in predicting the outcomes of future events. Probability originated from the study of games of chance. It is now used for other purposes, including (1) controlling of the flow of traffic through a highway system; (2) predicting the number of accidents people of various ages will have; (3) estimating the spread of rumors; (4) predicting the outcome of electronics; and (5) predicting the rate of return in risky investments.
9
Learn statistics. Statistics is the branch of mathematics that helps mathematicians organize and find meaning in data. Anyone who listens to the radio, watches television, and reads books, newspapers, and magazines cannot help but be aware of statistics, which is the science of collecting, analyzing, presenting and interpreting data. Statistics appear in the claims of advertisers, in cost-of-living indexes, and in reports of business trends and cycles.
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how to deal with nosy neighborsowers, square roots, and cube roots, for example, may be considered arithmetic as well, because these can be calculated using the four basic arithmetic operations of addition, subtraction, multiplication, and division.
If you are good at mathematics, always try to do more complex work to build up your skills and learn beyond the classwork. This will increase your confidence and may even end up with you taking up a career in a field that uses mathematics.
Warnings
If you experience difficulties with mathematics, seek assistance early on before it becomes a mental stumbling block to proceeding further. It is important to have a solid grounding in one area before moving to another, so that you increase your confidence and skills | 677.169 | 1 |
TEACHER: Mr. Kase 2012-2013
COURSE TITLE: GEOMETRY - 4830
Grade: 9-11
COURSE EXPECTATIONS
I. COURSE DESCRIPTION:
This one-year course provides students with a rigorous study of Euclidean geometry. It incorporates problem
solving, reasoning, modeling, and effective communication in the study of transformational geometry,
trigonometry, measurement, and probability. Instructional practices incorporate integration of diversity
awareness including appreciation of all cultures and their important contributions to society. The use of
mathematical tools and technology, including calculators and computer software, is an integral part of this
course. This course fulfills one of the mathematics credits required for high school graduation.
II. PREREQUISITES:
1. 9th Grade Standing
2. Completion of Algebra I or concurrent enrollment
III. PRE ASSESSMENTS:
Each student will take a pre-test of diagnostic nature:
1. Algebra Skill Pre Test - to determine the level of algebra understanding at which the student is operating.
IV. POST-ASSESSMENTS:
Each student will take a post-test of a diagnostic nature:
1. Individual growth in geometry skills.
2. Accomplishment of individual growth within career objectives.
3. Strengths and weaknesses of the teaching-learning system.
V. POSSIBLE CAREERS:
The following is a list of careers that use Geometry concepts:
Airplane Mechanic Auto Mechanic Carpenter Construction Supplies
Marketing Representative Contractor Dietitian Drafter
Farm Advisor Hydrologist Industrial Engineer Civil Engineer
Interior Decorator Landscape Architect Machinist Clerk
Medical Lab Technician Meteorologist Nurse Pharmacist
Photographer Plumber Printer Real Estate Agent
Technical Researcher Waste water Treatment Operator
VI. COURSE GOALS:
1. To develop the Standards for Mathematical Practice. [CCSS]
2. To experiment with transformations in the plane, understand congruence in terms of rigid motions; prove
geometric theorems, and make geometric constructions. [CCSS: G.CO]
3. To understand similarity in terms of similarity transformations, prove theorems involving similarity, define
trigonometric ratios and solve problems involving right triangles, and apply trigonometry to general
triangles. [CCSS: G.SRT]
4. To understand and apply theorems about circles; and find arc lengths and areas of sectors of circles.
[CCSS: G.C]
5. To translate between the geometric description and the equation for a conic section; and use coordinates to
prove simple geometric theorems algebraically. [CCSS: G.GPE]
6. To explain volume formulas and use them to solve problems; and visualize relationships between two-
dimensional and three-dimensional objects. [CCSS: G.GMD]
7. To apply geometric concepts in modeling situations. [CCSS: G.MG]
8. To understand independence and conditional probability and use them to interpret data; and use the rules of
probability to compute probabilities of compound events in a uniform probability model. [CCSS: S.CP]
9. To use probability to evaluate outcomes of decisions. [CCSS: S.MD]
VII. MAJOR TEXT
1. Individually Assigned Text - Each student will receive a copy of McDougal Littell Geometry.
2. Care of the Text - The student will be responsible for the care of this book for the entire school year (this
includes keeping a cover on the book). If the book is lost or stolen, the replacement will cost $60.84. Students
will not be issued another book until the lost book has been paid for. The student will pay a portion of the total
cost if the book needs repair.
VIII. COURSE INFORMATION
1. Testing - Tests will be given at the end of each chapter or content area Practice proficiency tests will be
given as well to check the progress of the students and assess where more work is needed.
2. Assignments - Assignments will be given on a daily basis. Students will generally have class time to start
these assignments. Students are expected to complete any unfinished assignments as homework. Assignments
are due at the beginning of the period the following day. Late work will be given a maximum of 50% credit.
3. Notebooks - Each student is required to keep a 3-ring notebook.
4. Make-Up - It is the student's responsibility to check the assignment calendar either in the classroom or on
my website, accessed through paloverde.org, teacher sites. They should find out what was missed and
complete the missed assignment upon returning to school after an absence. Students have three school days to
make up missed work according to CCSD policy. Tests and quizzes must be made up after school within one
week of the original test date.
5. Supplies :
Scientific calculator (with display and fraction) is recommended
3 ring binder with 5 dividers
Pencils, Lined Paper
Spiral Notebook
All homework assignments, worksheets, projects and resources are posted on my.ccsd.net regularly.
IX. ACROSS THE CURRICULUM ACTIVITIES
1. Organization/Study Skills Requirements - Each student will receive and be instructed on the use of a Math
Mate reference guide. This reference guide is part of a school wide study skills program. All students are
required to have a textbook, utility notebook (containing the Student Handbook, Math Mate and other
information), subject notebook, and pencil on their desks each day when class begins. The teacher will check
to see that these requirements are met and will reward the students accordingly.
2. Writing - Students will put into practice writing techniques which they have developed in their English
classes. The teacher will include writing assignments and essay questions on exams, which will be part of the
exam grade.
3. Learning Strategies - Two-column notes will be used extensively.
4. Technology -
A. Calculators - Students are advised to purchase their own calculator for use at home and in class.
There will NOT be any calculators available to borrow so those wishing to use one must provide their
own. A scientific calculator is advised.
B. Computer Usage - Students will be taken to the computer lab on a regular basis. The software used
in this course is Geometer's Sketchpad.
C. Equipment Usage - All students will adhere to the equipment usage rules located in their Math
Mate
X. EVALUATION
1. Criteria for Arriving at Student Grades:
A. Assignments and homework will be collected and graded on a daily basis. They will be weighted
as follows:
Warm-ups - 10% Homework - 20% Notebooks - 10%
Tests/Quizzes - 60%
B. Semester Grades will be weighted as follows:
Term 1 Grade- 40% Term 2 Grade- 40% Semester Exam- 20%
2. Explanation of Student Grades:
A 90% - 100% Excellent
B 80% - 89% Above Average
C 70% - 79% Average
D 60% - 69% Below Average
F Below 60% Failing
IN Incomplete
NG No Grade
3. Grade Reports: Grades will be posted weekly for students to review. Grades will also be updated on
ParentLink at least once a week. Progress reports will be issued at midterm. These progress reports will serve
as notice of unsatisfactory progress for those students earning a grade of D or F. Should a student fall below a
C after these reports are issued, a hand written progress report will be given to the student. Report cards will
be issued at the end of each term. See the student handbook for dates.
XI. Behavior:
1. Citizenship
A. O-Outstanding
B. S-Satisfactory
C. N-Needs Improvement
D. U- Unsatisfactory
An Outstanding grade will be given to those students who show leadership, dedication and enthusiasm for
learning; who arrive on time, show respect for fellow students, who obey all class and school rules and who
demonstrate academic effort. Lapses in the above behavior will result in a satisfactory citizenship grade.
Avery serious infraction and/or cumulative misbehavior may result in an unsatisfactory grade.
2. Behavior- Students are expected to demonstrate respect for themselves and others at all times. Good
manners will be practiced in our room. Any item restricted on this campus (see your handbook) will be
confiscated, including cell phones, Ipods and other electronic devices. No food or drink is ever allowed in
class at any time. Gum chewing is not allowed. Students, you have five minutes between classes, please use
this time wisely to take care of personal needs. If a student chooses to disregard the class or school rules,
progressive discipline will be used:
A. Warning
B. Student conference/time out/detention.
C. Call to parent.
D. Counselor referral
E. Dean referral
Serious offenses will be referred immediately to the dean. (See your handbook for a list).
3. Tardy Policy- There is a procedure to deal with tardiness defined in your handbook. That procedure will be
followed in this classroom. When the bell rings students will be inside the room or they will be tardy.
EXTRA HELP
If a student needs extra help, I will be available in my classroom, Room 817, before school, at lunch, and after school
(2:16 to 2:41 pm). There may be some changes in the times due to meetings. Students are encouraged to inform me if
they know they are coming in for help so I can let them know of any scheduling conflicts.
CONTACT
You can contact me at 799-1450 if you have any questions or concerns. You can also email me at
bskase@interact.ccsd.net .
_______________________________________________________________________________________
SIGNATURE PAGE
This page needs to be printed and returned to class as your first homework assignment. The rest of the
Course Expectations needs to be in your binder at all times.
I have read the expectations for Mr. Kase's class for the 2012-2013 school year and will strive to do my part to
successfully complete this course. I understand that I must provide a three-ring binder, spiral notebook, dividers,
notebook paper, student planner, textbook, and pencil each day in class. I must also provide my own calculator if I
want to use one, as Mr. Kase will NOT provide one. A scientific calculator is recommended for Geometry.
________________________________ ___________________________________
Student's Printed Name Parent/Guardian's Printed Name
________________________________ ___________________________________
Student's Signature Parent/Guardian's Signature
________________________________ ___________________________________
Date Parent/Guardian's E-mail or Cell Phone
___________________________________
Date | 677.169 | 1 |
the \ufb01rst box is the determinant shown (the absolute value of the size is the area).Thesize of the second box isx1 times that, and equals the size of the \ufb01nal box.Hence,x1is the \ufb01nal determinant divided by the \ufb01rst determinant.
Preface
This book helps students to master the material of a standard undergraduate
linear algebra course.
The material is standard in that the topics covered are Gaussian reduction,vector spaces, linear maps, determinants, and eigenvalues and eigenvectors.Theaudience is also standard:sophmores or juniors, usually with a background ofat least one semester of Calculus and perhaps with as much as three semesters.
The help that it gives to students comes from taking a developmental ap-proach \u2014 this book\u2019s presentation emphasizes motivation and naturalness, drivenhome by a wide variety of examples and extensive, careful, exercises.The de-velopmental approach is what sets this book apart, so some expansion of theterm is appropriate here.
Courses in the beginning of most Mathematics programs reward studentsless for understanding the theory and more for correctly applying formulas andalgorithms.Later courses ask for mathematical maturity: the ability to followdi\ufb00erent types of arguments, a familiarity with the themes that underly manymathematical investigations like elementary set and function facts, and a capac-ity for some independent reading and thinking.Linear algebra is an ideal spotto work on the transistion between the two kinds of courses.It comes early in aprogram so that progress made here pays o\ufb00 later, but also comes late enoughthat students are often majors and minors.The material is coherent, accessible,and elegant.There are a variety of argument styles\u2014proofs by contradiction,if and only if statements, and proofs by induction, for instance\u2014and examplesare plentiful.
So, the aim of this book\u2019s exposition is to help students develop from beingsuccessful at their present level, in classes where a majority of the members areinterested mainly in applications in science or engineering, to being successfulat the next level, that of serious students of the subject of mathematics itself.
Helping students make this transition means taking the mathematics seri-ously, so all of the results in this book are proved.On the other hand, wecannot assume that students have already arrived, and so in contrast with moreabstract texts, we give many examples and they are often quite detailed.
In the past, linear algebra texts commonly made this transistion abrubtly.They began with extensive computations of linear systems, matrix multiplica-tions, and determinants.When the concepts\u2014vector spaces and linear maps\u2014\ufb01nally appeared, and de\ufb01nitions and proofs started, often the change broughtstudents to a stop.In this book, while we start with a computational topic, | 677.169 | 1 |
Related Links
Academic Preparation Math
Developmental mathematics is offered through the Department of Developmental Education. The sequence of developmental mathematics courses consists of Basic Math, Basic Algebra I, Math Literacy for College Students, and Basic Algebra II. These courses are designed to prepare students for future course work in mathematics.
Our developmental mathematics courses are taught by a group of dedicated professional educators who strive to teach our students the basics of being successful in today's academic world.
Among the mathematics skills taught in our classes, we emphasize good study skills, note-taking skills, test-taking techniques and we encourage appropriate instructor-student rapport.
We offer our developmental mathematics students diverse methods of instruction. Our students utilize our traditional classes, modularized, hybrid, and online sections, and Fusion courses that are paired with college-level math.
Our developmental students can take advantage of the college's superior tutoring services through the Tutoring Center. NECC offers free tutoring on a drop-in basis both days, evenings, and Saturdays at both campus sites. Online tutoring services are also available.
The Math Chart explains the sequence of math courses students take at NECC. | 677.169 | 1 |
04712388 Partial Differential Equations
Beginning Partial Differential Equations provides a challenging yet accessible introduction to partial differential equations for advanced undergraduate and beginning graduate students. Features include: A discussion of first order equations and the method of characteristics for quasi-linear first order PDEs Canonical forms of second order PDEs Characteristics and the Cauchy problem A proof of the Cauchy-Kowalevski theorem for linear systems A self-contained development of tools from Fourier analysis Connections between the mathematics and physical interpretations of PDEs Numerous exercises, many with solutions provided Experimental, computer-based exercises designed to develop lines of inquiry. The treatment of second order PDEs focuses on well-posed problems, properties and behavior of solutions, existence and uniqueness of solutions, and techniques for writing representations of solutions. Techniques include the use of characteristics, Fourier methods, and, for the Dirichlet problem, Green's function and conformal mappings. Also included are the Kirchhoff/Poisson solution of the wave equation, Huygens's principle, and Lebesgue's example of a Dirichlet problem with no solution | 677.169 | 1 |
Symmetry
We all encounter symmetry in our everyday lives, in both natural and man-made...
We
By the end of this unit you should be able to:
explain what is meant by a symmetry of a plane figure;
specify symmetries of a bounded plane figure as rotations or reflections;
describe some properties of the set of symmetries of a plane figure;
explain the difference between direct and indirect symmetries;
use a two-line symbol to represent a symmetry;
describe geometrically the symmetry of a given figure which corresponds to a given two-line symbol;
find the composite of two symmetries given as two-line symbols;
find the inverse of a symmetry given as a two-line symbol;
write down a Cayley table for the set of symmetries of a plane figure;
appreciate how certain properties of the set of symmetries of a figure feature in a Cayley table;
explain the meaning of the terms group, Abelian group and the order of a group;
give examples of finite groups and infinite groups;
determine whether a given set and binary operation form a group by checking the group axioms;
deduce information from a given Cayley table;
understand that the identity in a group is unique;
understand that each element in a group has a unique inverse;
recognise how the uniqueness properties can be proved from the group axioms;
explain the connections between properties of a group table and the group axioms;
describe the symmetries of some bounded three-dimensional figures;
use two-line symbols to denote symmetries of three-dimensional figures, and to form composites and inverses of such symmetriesSymmetry
Introduction
In this unit we use the geometric concept of symmetry to introduce some of the basic ideas of group theory, including group tables, and the four properties, or axioms, that define a group.
Please note that this unit is presented through a series of PDF documents.
This unit is an adapted extract from the Open Unviersity coursePure mathematics
(M208) [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)]
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Publication details
Originally published: Monday, 18th April | 677.169 | 1 |
Description:
This is an introductory course covering basic concepts in preparation for Algebra I. This course includes adding, subtracting, multiplying, and dividing whole numbers, decimals, fractions, mixed numbers, and integers; manipulating place value and powers of 10; estimating sums, differences, products, and quotients; identifying angles and triangles; and using scientific notation. Note: Due to the nature of the lesson assignments for this course, we are unable to accept assignments submitted via e-mail | 677.169 | 1 |
Intermediate Algebra: Concepts and Graphs - 5th edition
This textbook has a unique table of contents, the foundation of which is a condensed review of elementary algebra. All of the material on polynomials, including factoring, is covered in Chapter 1. This means that students solve both linear and quadratic equations in Chapter 2, making that chapter more interesting than usual | 677.169 | 1 |
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Concise and highly regarded, this treatment of Green's functions and their applications in science and engineering is geared toward undergraduate and graduate students with only a moderate background in ordinary...
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With the help of this quick study guide, your teen should be able to breeze through 12th grade algebra. There will be principles explained in an easy-to-understand manner as well as plenty of examples to instill...
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You will learn to appreciate geometric formulas when they're arranged in an easy-to-understand manner like in this study guide. You can quickly glance at certain formulas to be reminded on how problems involving...
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I call our world Flatland, not because we call it so, but to make its nature clearer to you, my happy readers, who are privileged to live in Space. Imagine a vast sheet of paper on which straight Lines, Triangles,...
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The numbers one through nine have remarkable mathematical properties and characteristics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? Are there really "six degrees...
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This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment...
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Presented in 1962–63 by experts at University College, London, these lectures offer a variety of perspectives on graph theory. Although the opening chapters form a coherent body of graph theoretic concepts,...
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What is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic... | 677.169 | 1 |
A project funded by the NSF to develop a complete mathematics curriculum for the middle grades (6-8), one rich in connections among the various topic strands of the subject, between mathematics and its applications in other disciplines, between the planned teaching/learning activities and the special aptitudes and interests of middle school students, and between the preparation developed by elementary school mathematics and the goals of secondary school mathematics. Foci include: mathematical content and process goals; instructional themes; algebra in CMP; structure and organization of student materials; problem-centered teaching; structure of teacher materials; the role of technology; project instructional model; grouping students; assessment; and ideas for portfolio assessment. The site includes a list of CMP units, a FAQ, software, teacher enhancement sites, and more. | 677.169 | 1 |
Wolfram's $2 course assistant app for iOS devices can help with algebra.
Wolfram Research
Wolfram Research, a software company with deep mathematical and scientific expertise, is expanding to the broad education market with a range of mobile apps.
But although those apps hold the promise of turning smartphones into sophisticated next-generation calculators, they also raise questions about the best way for students to learn.
Wolfram Research got its start with the hard-core Mathematica software, itself an offshoot of Stephen Wolfram's attempt to explain his mathematical view of the universe embodied in his book, A New Kind of Science. It was therefore fitting that the company's "knowledge engine," Wolfram Alpha, took a rigorous approach to facts and data.
So perhaps it shouldn't have been a surprise that the company's first mobile application to use Alpha was similarly tailored for a refined audience and came with a correspondingly expensive price tag of $50. No doubt displeased with the response, Wolfram shortly after decided to "focus on ubiquity" and cut the price to $2.
Now Wolfram is showing signs that indicate a deeper understanding of consumer sensibilities, announcing new iOS applications called Wolfram Course Assistants to help students with algebra, calculus, and music theory. They tap into Alpha's Mathematica abilities behind the scenes, but they're focused, packaged, and reasonably priced at $2 for algebra and music theory and $3 for calculus.
Wolfram said on its blog that a lot more course assistants will arrive in coming months, and the iPhone, iPad, and iPod Touch won't be the only hardware to use the apps. "We're working on Android and also assessing other platforms currently," the company told me.
I've been noodling with Mathematica recently, inspired by a foolish desire to explain to my son why I answered "infinity" when he asked me what 100 divided by 0 is. The more I looked at Mathematica, the more it seemed that all that struggling to find the integral of sec^3(x)dx in Mrs. Strong's 12th-grade calculus class was, in a sense, busywork.
Wolfram's third application helps with music theory--and not just Western scales.
Wolfram Research
Useful busywork, yes, that doubtless has afforded generations of engineers and physicists a deeper understanding of how the universe works, but still busywork.
Nobel laureate physicist Richard Feynman bemoaned how students lost their seat-of-the-pants understanding of logarithms and therefore some of their numeracy with the arrival of calculation devices.
Clearly, children need some understanding on their own of math, and reliance on a computer has a lot of drawbacks. But computers can also aid those who otherwise would fall by the mathematical wayside, or let people with more advanced abilities bypass drudgery and move on to the challenging material. Graphing calculators can let many students explore curves and functions that realistically they'd more likely ignore if they had to plot them by hand.
And extending beyond the realm of math, spell-check, and grammar-check software, though fallible, can still be a help. Sure, those writing aids may be crutches that enable a certain laziness, but after having seen my son wrestle with the arbitrary, inconsistent arcana of English spelling and reading countless misuses of "its" vs. "it's," I'm not convinced this knowledge truly can be flogged into every brain. I have some sympathy for those who want to permit spell-check software in school tests.
Wolfram offers a $3 iOS app for calculus help. An Android version is on the way.
Wolfram Research
Yes, I'm ambivalent, but overall, I see computer-aided knowledge as an asset. Google and Wikipedia may often substitute for real research and learning, but in my experience they've opened up vistas of knowledge I hadn't realized existed, supplied me with resources I'd otherwise need a major university nearby to find, and helped me innumerable times to gratify my curiosity--and my son's as well.
Wolfram, as one would expect, argues its software augments traditional schooling.
In a sense the ultimate idea of our course-assistant apps is to provide automated expert tutoring for anyone anywhere. They're also a good way to "scope out" what's involved in a course, and work out as many examples as one wants.
For teachers, one of the interesting things is that the course assistant apps don't just do elementary examples: they handle the real-world cases too. So it becomes possible to explore concepts in much more realistic settings.
Though it's not yet clear to me how well the software itself lives up to that sales pitch, I see the merit of the company's education-boosting aspiration | 677.169 | 1 |
052159667X
9780521596671
Details about Set Theory:
This is a classic introduction to set theory, suitable for students with no previous knowledge of the subject. Providing complete, up-to-date coverage, the book is based in large part on courses given over many years by Professor Hajnal. The first part introduces all the standard notions of the subject; the second part concentrates on combinatorial set theory. Exercises are included throughout and a new section of hints has been added to assist the reader.
Back to top
Rent Set Theory 1st edition today, or search our site for Andras textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Cambridge University Press. | 677.169 | 1 |
Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more | 677.169 | 1 |
Beginner to Advanced, and Everything in Between
0071549315
9780071549318
Details about Calculus Know-It-ALL:
Master calculus from the comfort of home!Want to "know it ALL" when it comes to calculus? This book gives you the expert, one-on-one instruction you need, whether you're new to calculus or you're looking to ramp up your skills. Providing easy-to-understand concepts and thoroughly explained exercises, math whiz Stan Gibilisco serves as your own private tutor--without the expense! His clear, friendly guidance helps you tackle the concepts and problems that confuse you the most and work through them at your own pace. Train your brain with ease! Calculus Know-It-ALL features: Checkpoints to help you track your knowledge and skill levelProblem/solution pairs and chapter-ending quizzes to reinforce learning Fully explained answers to all practice exercises A multiple-choice exam to prepare you for standardized tests "Extra Credit" and "Challenge" problems to stretch your mindStan's expert guidance gives you the know-how to: Understand mappings, relations, and functionsCalculate limits and determine continuityDifferentiate and integrate functionsAnalyze graphs using first and second derivativesDefine and evaluate inverse functionsUse specialized integration techniquesDetermine arc lengths, surface areas, and solid volumesWork with multivariable functionsTake college entrance examinations with confidence And much more! | 677.169 | 1 |
9780471877325Classic Algebra
Fundamental to all areas of mathematics, algebra provides the cornerstone for the studenta s development. The concepts are often intuitive, but some can take years of study to fully absorb. For over twenty years, the authora s classic three--volume set, Algebra, has been regarded by many as the most outstanding introductory work available. This work, Classic Algebra, combines a fully updated Volume 1 with the essential topics from Volumes 2 and 3, and provides a self--contained introduction to the subject | 677.169 | 1 |
Explorations in Complex Analysis
Explorations in Complex Analysis is written for mathematics students who have encountered basic complex analysis and want to explore more advanced projects and/or research topics. It could be used as
a supplement for a standard undergraduate complex analysis course, allowing students in groups or as individuals to explore advanced topics,
a project resource for a senior capstone course for mathematics majors,
a guide for an advanced student or a small group of students to independently choose and explore an undergraduate research topic, or
a portal for the mathematically curious, a hands-on introduction to the beauties of complex analysis.
Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.
There are 16 Java applets and a Java application, CirclePack, that allow students to explore the research topics without purchasing additional software. The electronic version of the book contains links to the applets and CirclePack. The print book (available in the MAA Store) contains information for downloading everything. | 677.169 | 1 |
Amanda Harrison
Atascocita High School Math Department
White Community Room # 2410
Phone: 281.641.7794
Email: amanda.harrison@humble.k12.tx.us
Dear Parents/Guardians and Students,
First, let me welcome you to another exciting yet ambitious school year. As many of you know, mathematics is needed to be successful
in many aspects of our lives. The skills learned in Statistics will assist your son or daughter to live in a more productive life as well as
onto other academic courses.
As the teacher, your child can expect the best and varied instructional skills. As Atascocita High School's philosophy is Rigor,
Relevance, and Relationships, your son/daughter has elected to take the AP Statistics course. It is my goal to establish a rigorous
curriculum which will include a good amount of foundation surrounding statistics that could prepare them for post secondary education.
During tests and quizzes, your child should expect to see a few problems which maybe unfamiliar but are solvable using the methods
and theory learned through the lessons. These "challenge" problems are designed to help your child learn the material fully, not just
how to do the specific problems in the homework. Also, I will teach many lessons which will relate to real-life applications and try to
maintain a positive relationship with him/her. In order to be successful in a college level course, it is well advised to follow these
suggestions below.
The most successful students are those who take responsibility of their own progress. Please help your child grow in self-motivation
and developing good study habits. Your interest and support of your child is crucial in maintaining academic achievement. Also, your
child needs to maintain a healthy attendance record, especially on block days (Wednesdays and Thursdays). Missing a block day is
equal to missing two class days. If your child is absent for any reason, it is his/her responsibility to attain the notes from that day's
class. I will be posting my notes on my website daily as well as homework assignments. I will also have tutoring on Tuesday
afternoon's 3:00 to 3:45 and Friday morning's 6:45 to 7:15. I will also be available on Wednesday afternoon's 3:00 to 4:00 for
make-up assessments only. As a guardian, you do have an opportunity to view your child's grades by logging into Humble ISD's
website at and clicking on 'view grades online'. Your son/daughter will be given a progress report at three and six
weeks and an official grade report at the end of each nine weeks.
Your child's grade is determined by a structure which consists of 75% tests and projects (summative) and 25% daily work (formative).
There will be at least three tests per nine weeks and at most one project. Daily assignments are listed under formative category. Your
child does not need to purchase a graphing calculator. As mandated by the state, each student is allowed to use a graphing calculator
in class. However, your child is not allowed to take the calculator away from the classroom and cannot use the school's calculator on
the AP Statistics exam. Therefore, I strongly encourage each AP Statistics student to purchase either a TI-83 Plus, TI-84, TI-84 Plus,
TI-89, or TI-Inspire calculator. Problems will be modeled in class on a TI-84 Plus. The course textbook has models for TI-89 use. I
also ask that every student bring in one four pack of AAA batteries (brand does not matter) for calculators.
The AP Statistics exam is scheduled for May 10, 2013. Every student enrolled in AP Statistics is strongly encouraged to sign up for
and take the AP exam. AHS will soon have a link on the school website that will allow students to sign up and pay online.
Finally, I am asking for assistance in supplies. During the school year, we do run quite low in certain resources which can hamper your
child's learning. In order to not reach this point, it would be gracious if I can ask for the following:
st
1 Period: A box of tissues
rd
3 Period: A box of unsharpened pencils (Any count)
All of these items can be purchased at any local market or dollar store.
If there is absolutely any questions, please do not hesitate and contact me either through e-mail (preferred) or phone. I will do my best
to answer your question(s) in a timely fashion. I am thrilled to have your child in my class and together as a team, we will make this a
superb year.
Sincerely,
Amanda Harrison
By signing this form below, I declare that I am the legal parent/guardian of the child and understand the expectations upon
this class as listed on this letter. (Please detach and return ASAP.)
______________________________ __________________________________
Parent/Guardian's Printed First and Last Name Student's Printed First and Last Name
_____________________________ __________________________________ ______________________________
Parent/Guardian's Signature Parent/Guardian's E-mail Address Parent/Guardian's Primary Contact Number | 677.169 | 1 |
Description
This graphing calculator program supports more than a dozen different functions from trigonometry, calculus, and algebra. If you like to see things when learning them and enjoy playing around with different variations of new concepts then this free program is for you. Math students worldwide benefit from the 3D Graphs.
You can graph lines, parabolas, hyperbolas, sine or cosine waves, tangent, logarithms, even exponentials. The math ranges from Algebra 1 through Algebra 2, Trigonometry, and even Pre-Calculus. With this App you can graph most Calculus equations simply using the custom math keyboard
Playing with or practicing with this program can help you to understand mathematical equations at a deeper level using visual intuition. This is a great way to prepare for standardized tests or ensure that you will be able to work at high speed for AP Mathematics exams. The bright colors and smooth shading create a memorable experience for each equation plot. If you like math, you will enjoyBasics: -Enter values and view results as you would write them -Swipe up, down, left, or right to quickly switch between keyboard pages. -Long click on keyboard key to bring up dialog about key. -Undo and Redo keys to easily fix mistakes. -Cut, Copy, and Paste. -User defined functions with f, g, h
Graphing: -Graph three equations at once. -View equations on graph or in table format. -Normal functions such as y=x^2 -Inverse functions such as x=y^2 -Circles such as y^2+x^2=1 -Ellipses, Hyperbola, Conic Sections. -Inequalities -Logarithmic scaling -Add markers to graph to view value at given point. -View delta and distance readings between markers on graph. -View roots and intercepts of traces on graph. -Regression
Q. Is there are tutorial anywhere explaining how to use the graphing calculator? A. There are three into tutorials in the app for the calculator, graph equations, and graph screens. Additional tutorials can be found on our website
Q. How do I get to the keys for pi, e, solve, etc? A. There are four keyboard pages. Each swipe direction across the keyboard moves you to a different page. The default page is the swipe down page. To get to the page with trig functions, swipe left. To get to the matrix keys, swipe up. To get to the last page, swipe right. No matter what page you are on, the swipe direction to move to a specific page is always the same.
Q. What do you have planned for future releases? A. You can keep up to date on the latest news on our blog at . This news will include what is coming up in future releases. Also feel free to leave comments and let me know what you think!
Free version with ads: TheThis is a fully featured scientific and graphing calculator which supports graph, matrix, complex numbers, equation solver and unit converter. For everyday calculations, the calculator also supports a basic mode.Grapher is useful application for all pupils and students. Ease interface will help you to build any graph or function on Cartesian coordinate system in few seconds. You can drow simple,parametric or polar type of function.
You can build a lot of functions in one time on same screen in different colors.
Scientific Calculator Dx is a professional scientific and graphics calculator with many useful features. In addition to the classic functions of a scientific calculator this application is also able to calculate complex mathematical expressions and to design, simplify, solve and find derivatives up to N order and plot functions. Scientific Calculator Dx can be used also to convert numeric base (hex, bin and dec). The application also uses the accelerometer (in addition to normal "OK" button) to show the result on the screen (just shake your device). Many other useful functions will be added soon.
Drag grid or use controls to move or change the scale. Drag three variable grid to rotate.
Graphulator can miss non-functions 1/15 the grid scale. The user can adjust the accuracy or change the grid scale including adjusting the width and height independently.
Changing the accuracy requires upgrade.
Graphulator boasts being the only calculator which can perform calculus on non-functions numerically (equations which cannot be reduced to a function). It should be noted that these derivatives differ from standard calculus.
Graphulator boasts being the only numerical calculator which can plot three variable non-functions. (Equations of the form f(xyz) = f(xyz)).
If you believe either of these claims to be untrue, let us know (contact@Graphulator.com).Scientific Calculator with 2D and 3D graphing and base conversion. ProCalcApp - An original scientific calculator. It is able to calculate complex mathematical equations very accurately. What makes this calculator different is its simplicity. It is much easier to use than its competitors and any input can immediately be converted to 2D or 3D graphs. Product Features: Scientific and engineering calculations Complex numbers can be inserted and stored (e.g.(radians&angle) or (real+imaginary)) 2D and 3D graphing Base Conversion Scientific Constants Easy store and recall
Equations can be hard to read and understand. Graphs were invented to help people understand the meaning behind the formula using a regularized coordinate system. This program lets you draw graphs of math functions that you enter yourself in terms of x. Enjoy learning math for the price of a burger.
Do you like to study Algebra, Trigonometry, Pre-Calculus or Calculus? With this program you can gain insight into simple lines, parabolas, hyperbolas, or more complex equations. If you study Trigonometry, sine and cosine waves are easy to see as well as tangent plots in dazzling visual detail. Electrical engineers and scientists as well as Calculus students will appreciate the exponential and logarithm support. All this is easy to enter with a delightful customized keyboard made specifically for entering mathematical equations | 677.169 | 1 |
Homework: I'll ask that a few problems from each assignment be written up for grading and will collect these weekly. Each will be worth about 10-15 points.
Keep all of your homework in
a loose leaf 3--ring binder, I'll collect your binder periodically Working together
to solve the problems is absolutely fine and is encouraged!!,
but you must write up your own solutions.
I'll try to reserve half of Friday for "Solution Day'' where I'll ask you to present
solutions to the problems on the board.
Quizes: There will be several 10-20 point quizes checking on the basics, definitions, and theorems. I'll let you know what's coming.
Midterms: There will be two announced 100 point midterm exams
Written Final: The Written Final, celebrated on Tuesday, Dec. 20, 9:00-11:00 a.m, will be comprehensive and is important -- worth 200 points..
The Derivative: the definition and basic properties, derivatives of the elementary functions, the intermediate value property for derivatives, the mean value theorem, continuity versus differentiability.
Sequences and Series of Functions: pointwise convergence, uniform convergence and convergence in mean (or probability). uniform convergence preserves continuity, an ocean of examples.
The Riemann Integral: the geometry of anti-derivatives, the definition of the Riemann integral, properties of the integral, the fundamental theorem of calculus.
Definitions and Theorems
I'd like you to keep a complete, dictionary
(ie. an alphabetized list) of the definitions we learn in the course. Check out Math World to look up any definitions not in the book.
This should be word processed and updated weekly. In addition, I'd like you to keep a separate list of all theorems.
For an intro to the
mathematics wordprocessing program called LaTeX, click
this.
Suggestions for Success
Work on this course every day. Sometimes it may seem that
your ``work'' didn't produce any tangible results, just questions and
frustration. Knowing what questions to ask and knowing what hasn't
worked for you, reflect progress. You should be encouraged and seek
help. This is not an easy course to catch up in should you fall behind.
Rewrite those homework problems that gave you trouble. Your Homework notebook will be very useful
as you prepare for tests and the exam.
Quiz yourself on the definitions and theorem statement regularly. A stack of Flash cards can be very effective.
Don't fall in the trap of copying down every single word of a
proof presented in class. Pay attention to the ideas and make sure that you are
following the logic of the proof. You can then reconstruct
the proof for your notes later that same day. Most proofs are carefully
presented in the text, anyway.
A source of frustration at the beginning of this course may
be the ease with which you see some of your classmates completing their
assignments while you are struggling. Don't be alarmed. There is a
skill to be learned in this course and it can be learned. It can take
some folks a bit longer than others, though. | 677.169 | 1 |
MathsWatch GCSE Grade C
By MathsWatch
Description
MathsWatch - one of the most popular GCSE Maths revision guides on the market is now available as an app!
MathsWatch provides a video for every GCSE Maths topic, including practice questions and answers. The videos have been split into 5 grade sections - A*/A, B, C, D and E/F/G. Higher students will require A*/A, B, C, and D, whilst foundation students will need C, D and E/F/G. MathsWatch is suitable for all GCSE exam boards (Edexcel, AQA, OCR and WJEC) and both the linear and modular exams. | 677.169 | 1 |
This video was recorded at MIT 18.01 Single Variable Calculus - Fall 2006. Calculus (Latin, calculus, a small stone used...
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This video was recorded at MIT 18.01 Single Variable Calculus - Fall 2006. Calculus (Latin, calculus, a small stone used for counting) is a branch in mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modern mathematics education. This introductory calculus course covers differentiation and integration of functions of one variable, with applications. Course Homepage: 18.01 Single Variable Calculus Fall 2006 Course features at MIT OpenCourseWare page: Syllabus Calendar Readings Lecture Notes Assignments Exams Related ResourcesSelect this link to close drop down of your Bookmark Collection or Course ePortfolio for material כיצד מוצאים רדיוס של מעגל?igonometry and Vectors to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Trigonometry and Vectors
Select this link to open drop down to add material Trigonometry and VectAlgebra to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material S.O.S. Mathematics--Algebra
Select this link to open drop down to add material S.O.S. Mathematics--AlTrigonometry to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material S.O.S. Mathematics--Trigonometry
Select this link to open drop down to add material S.O.S. Mathematics--Trigonometry to your Bookmark Collection or Course ePortfolio
This site contains reference material in Matrix Algebra. Topics covered include matrix operations, linear equations,...
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This site contains reference material in Matrix Algebra. Topics covered include matrix operations, linear equations, determinants, eigenvectors and eigenvalues. S.O.S. Mathematics--Matrix Algebra is a part of an independent, commercial site that offers straightforward technical assistance primarily to high school and collegeMatrix Algebra to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material S.O.S. Mathematics--Matrix Algebra
Select this link to open drop down to add material S.O.S. Mathematics--Matrix Motivation to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Math Motivation
Select this link to open drop down to add material Math Motivation to your Bookmark Collection or Course ePortfolio
The sitcom, "The Simpsons" "contains over a hundred instances of mathematics ranging from arithmetic to geometry to calculus,...
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The sitcom, "The Simpsons" "contains over a hundred instances of mathematics ranging from arithmetic to geometry to calculus, many designed to expose and poke fun at innumeracy." This site offers several "ways to introduce important concepts to students, and to reduce math anxiety and motivate students in courses for non-majors Simpsons Math to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material The Simpsons Math
Select this link to open drop down to add material The Simpsons Math to your Bookmark Collection or Course ePortfolio
EnVision is a Web-based chat program that assists in the live communication of mathematical content. It is used by the author...
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EnVision is a Web-based chat program that assists in the live communication of mathematical content. It is used by the author to conduct online office hours in introductory courses. It allows students to log in anonymously and thus reduce anxieties that they may have about seekingVision: A tool for live web-based communication in the mathematical sciences to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material EnVision: A tool for live web-based communication in the mathematical sciences
Select this link to open drop down to add material EnVision: A tool for live web-based communication in the mathematical sciences to your Bookmark Collection or Course ePortfolio | 677.169 | 1 |
Highlights of Calculus
Highlights of Calculus is a series of videos that introduce the fundamental concepts of calculus to both high school and college students. Renowned mathematics professor, Gilbert Strang, will guide students through a number of calculus topics to help them understand why calculus is relevant and important to understand. | 677.169 | 1 |
Welcome to Mathematics and Statistics at Haverford
Mathematics and Statistics at Haverford is a vibrant, friendly community, supporting students with a wide range of interests and backgrounds. Our curriculum encourages students to "think mathematically", and to participate in the exciting process of creating mathematics both in traditional core areas and at the frontiers of other disciplines.
A senior paper is written by each major, in close coordination with a faculty member. Students take turns presenting portions of their senior papers to each other, to develop their skills in constructing and giving oral presentations.
The Math Question Center is an informal gathering place where students work in groups on math homework and get assistance when they need it. It is open five evenings each week, and is staffed by mathematics faculty and majors.
Local News
Okeke, a professor of biology, is the lead author of a study with Manning, a professor of mathematics and statistics, and another researcher that used computer simulation to study Ebola outbreaks and ways to reduce the spread of the deadly virus. | 677.169 | 1 |
This series of videos contains 180 Worked Algebra I examples (problems written by the Monterey Institute of Technology and Education). You should look at the "Algebra" playlist if you've never seen algebra before or if...
This lesson helps students understand the concept of inflation in a mathematical context. Students will learn about the Consumer Price Index and will use it to compare the changing worth of a dollar over several years.... interdisciplinary lesson uses musical terms and concepts to teach algebra and geometry. Students will analyze musical scales and frequencies generated by a geometric sequence, and relate sine waves to musical... | 677.169 | 1 |
Created for the independent, homeschooling student, Teaching Textbooks has helped thousands of high schoolers gain a firm foundation in upper-level math without constant parental or teacher involvement.
Extraordinarily clear illustrations, examples, and graphs have a non-threatening, hand-drawn look, and engaging real life questions make learning pre-algebra practical and applicable. Textbook examples are clear while the audiovisual support includes lecture, practice and solution CDs for every chapter, homework, and test problem. The review-method structure helps students build problem solving skills as they practice core concepts and rote techniques.
Teaching Textbooks' new Pre-Algebra Version 2.0 edition now includes automated grading! Students watch the lesson on the computer, work a problem in the consumable workbook, and type their answer into the computer; the computer will then grade the problem. If students choose to view the solution, they can see a step-by-step audiovisual solution.
Teaching Textbooks Pre Algebra 2.0 includes the following new features:
Automated grading A digital gradebook that can manage multiple student accounts and be easily edited by a parent. Over a dozen more lessons and hundreds of new problems and solutions Interactive lectures Hints and second chance options for many problems Animated buddies to cheer the student on Reference numbers for each problem so students and parents can see where a problem was first introduced | 677.169 | 1 |
MATHEMATICS
A student must meet the college entrance requirements in mathematics
before enrolling in a mathematics course numbered above 100. Students
who do not meet these requirements may take MDEV 001, MDEV 002 and/or
MDEV 003 as needed.
Introduction to mathematics, including algebraic concepts,
permutations, combinations, probability, descriptive statistics, and
computer applications. Designed to meet the general studies
requirement for the baccalaureate degree but will not apply toward a
major or minor in mathematics.
Study of topics in mathematics, including number theory, geometry,
numeration, number systems, graphs, algebra, statistics, measurements,
and computer programming. Designed to meet the general studies
requirement for the baccalaureate degree. Will not apply toward a
major or minor in mathematics. Must be taken in sequence.
Introduction to college algebra and trigonometry including equations
and inequalities; algebraic, exponential, logarithmic, and
trigonometric functions; graphs; and complex numbers. Credit will not
be allowed for both MATH 117 and MATH 121 or 122.
Prerequisite: A satisfactory score on a departmental placement
examination or MDEV 003. Algebra II strongly recommended.
Introduction to calculus, including topics such as functions, limits,
derivatives, and integration in one or more variables; applications
from business and social sciences. Does not apply toward a major or
minor in mathematics. Credit will not be allowed for both
MATH 123 and MATH 181. Prerequisite: MATH 117 or 121 or
a satisfactory score on a departmental placement examination.
Study of functions, limits, continuity, derivatives, definite
integrals, and the Fundamental Theorem of Calculus. Credit will not be
allowed for both MATH 123 and MATH 181. Prerequisite:
MATH 117 or 122 or a satisfactory score on a departmental
placement examination.
Study of applied statistics, including methods of describing data,
distributions, sampling, confidence intervals, hypothesis testing
including analysis of variance, correlation and regression. Designed
to meet the general studies requirements for the baccalaureate degree,
but will not apply toward a major or minor in mathematics.
In-depth study of the mathematical foundations of physics and their
applications to physical problems. Particular attention is paid to the
theory of linear vector spaces in developing tensor analysis group
theory and Hilbert Space theory. This course is recommended for
students planning to attend graduate school in physics, or having a
strong interest in the applications of mathematics to the physical
world. Will be offered 1997-98.
Designed for students who enter college without having met the
mathematics entrance requirement of a one-year course in high school
algebra. Topics include fractions, radicals, factoring, linear and
quadratic equations and graphing. Credit does not apply toward
graduation, nor toward financial aid minimum or for students seeking
VA benefits.
Designed for students who enter college without having met the
mathematics entrance requirement of a one-year course in high school
geometry. Topics include angles, polygons, circles, and triangles.
Concepts and techniques of proof are integrated into this course.
Credit does not apply toward graduation, nor toward financial aid
minimum or for students seeking VA benefits.
Review of high school algebra, including topics such as sets, numbers,
exponents, polynomials, factoring rational algebraic expressions,
graphs, first and second degree equations, and inequalities. Credit
does not apply toward graduation or for students seeking VA benefits.
Methods, materials, and techniques of teaching mathematics on the
secondary school level; requires observation, demonstration, and class
presentation. Will not apply toward General Studies or toward a major
or minor in mathematics. Offered odd years only.
Study of problem solving methods, particularly as applied in the
classroom. Emphasizes problem solving skills and realistic
applications of mathematics. Computer usage will be integrated with
material chosen from the following; alegbra, geometry, discrete
mathematics, probability, number theory, optimization. Prerequisite:
MATH 105, or 113, or equivalent. Will not apply toward General
Studies or toward a major or minor in mathematics. Offered odd years
only, Summer quarter.
Study of statistical methods, emphasizing confidence intervals,
regression, correlation, analysis of variance, and chi-square. Some
descriptive statistics and elementary probability will be included as
a basis for the inferential statistics. Credit will not be allowed for
both MATH 206 and MEDU 402. Prerequisite: MATH 105, or
113, or equivalent. Will not apply toward General Studies or toward a
major or minor in mathematics. Offered even years only, Summer
quarter. | 677.169 | 1 |
'Taking discrete mathematics? Then you need the Wolfram Discrete Mathematics Course Assistant. This app for discrete...
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'Taking discrete mathematics? Then you need the Wolfram Discrete Mathematics Course Assistant. This app for discrete math--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn discrete math concepts. The Discrete Mathematics Course Assistant solves your specific discrete math problems on the fly, providing answers to a broad range of subjects. - Do function calculations like domain and range, image and preimage, and inverse and growth - Compute logic problems like minimal forms, implications, propositions, and bitwise operations - Calculate set functions like power set, basic set operations, complement, and Venn diagrams - Use the Number Theory section for division, modular arithmetic, prime numbers, special numbers, and integer functions - Do sequence computations like summation, product, and limit of a sequence - Compute permutation and combinatorics questions, including derangements and permutations of list or finite relations and Pascal's triangle - Use the discrete probability section for Bernoulli trial equations and view statistics on coin and dice probabilities or view various distribution given the probability of success - View information on basic, named, or custom graphs in our Graph Theory section Discrete Mathematics Course Assistant App for iOS to your Bookmark Collection or Course ePortfolio
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'Like fractals? Want to know more about them? The Wolfram Fractals Reference App is a handy reference you can take with you...
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'Like fractals? Want to know more about them? The Wolfram Fractals Reference App is a handy reference you can take with you wherever you go. It's great whether you're covering fractals in your math course or just want to explore the beautiful shapes and structures of fractals and the math behind them.- Choose from both common fractals and more unusual types- Visualize the Sierpiński gasket, the Koch snowflake, and the Mandelbrot set, as well as over 40 other fractals- Input parameters to customize your fractal type- Learn the rules behind the fractal construction- Explore hundreds of possibilities, including line and shape replacement fractals, space-filling curves, Blancmange function, Mandelbrot and Julia sets, and 3D fractals Fractals Reference App for iOS to your Bookmark Collection or Course ePortfolio
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'Learning fractions? Then you need the Wolfram Fractions Reference App. Whether adding, subtracting, or converting fractions,...
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'Learning fractions? Then you need the Wolfram Fractions Reference App. Whether adding, subtracting, or converting fractions, the Wolfram Fractions Reference App will help you with your specific fraction problems. - Visualize fractions on a number line or pie chart - Convert a fraction to a decimal or percent, or vice versa - Get help with arithmetic including addition, subtraction, multiplication, and division - Reduce fractions to their simplest forms Fractions Reference App for iOS to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Wolfram Fractions Reference App for iOS
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'Taking multivariable calculus? Then you need the Wolfram Multivariable Calculus Course Assistant. This definitive app for...
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'Taking multivariable calculus? Then you need the Wolfram Multivariable Calculus Course Assistant. This definitive app for multivariable calculus--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn calculus concepts. Forget canned examples! The Wolfram Multivariable Calculus Course Assistant solves your specific multivariable problems on the fly, providing step-by-step guidance for limits, derivatives, integrals, and much more.This app covers the following topics applicable to Multivariable Calculus, Advanced Calculus, and Vector Calculus:- Evaluate any numeric expression, or substitute a value for a variable- Plot 2D or 3D functions of your choice- Determine the limit of a function as it approaches a specific value or values- Differentiate any single or multivariable function- Find the critical points and saddle points of a function- Calculate the gradient of a function- Identify the local extrema of a function- Find the single, double, or triple integral of a function- Determine the dot or cross product of two vectors- Calculate the divergence or curl of a vector fieldStay up to date with the latest version, and see the additions of directional derivatives, line integrals, surface integrals, arc length, and curvature Multivariable Calculus Course Assistant App for iOS to your Bookmark Collection or Course ePortfolio
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'Taking statistics? Then you need the Wolfram Statistics Course Assistant. This definitive app for statistics--from the world...
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'Taking statistics? Then you need the Wolfram Statistics Course Assistant. This definitive app for statistics--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn statistics concepts. Forget canned examples! The Wolfram Statistics Course Assistant solves your specific problems on the fly, covering descriptive statistics, distributions, and much more.This app covers the following topics applicable to Statistics and Introduction to Statistics:- Create a bar chart, histogram, or scatter plot of any set of data- Find the mean, median, mode, standard deviation, quartiles, and interquartile range of a dataset- Calculate normal probabilities and find information about the normal distribution- Calculate binomial probabilities and find information about the binomial distribution- Compute probabilities based on dice rolls and coin flips- Find the best-fit line of a set of data points- Select random integers or random real numbersThe Wolfram Statistics Statistics Course Assistant App for iOS to your Bookmark Collection or Course ePortfolio
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'Taking algebra? Then you need the Wolfram Algebra Course Assistant. This definitive app for algebra--from the world leader...
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'Taking algebra? Then you need the Wolfram Algebra Course Assistant. This definitive app for algebra--from the world leader in math software--will help you quickly solve your homework problems, ace your tests, and learn algebra concepts so you're prepared for your next courses. Forget canned examples! The Wolfram Algebra Course Assistant solves your specific algebra problems on the fly, often showing you how to work through the problem step by step.This app covers the following topics applicable to Algebra I, Algebra II, and College Algebra:- Evaluate any numeric expression or substitute a value for a variable.- Simplify fractions, square roots, or any other expression.- Solve a simple equation or a system of equations for specific variables.- Plot basic, parametric, or polar plots of the function(s) of your choice.- Expand any polynomial.- Factor numeric expressions, polynomials, and symbolic expressions.- Divide any two expressions. - Find the partial fraction decomposition of rational expressions.The Wolfram Al Algebra Course Assistant App for iOS to your Bookmark Collection or Course ePortfolio
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'Taking calculus? Then you need the Wolfram Calculus Course Assistant. This definitive app for calculus--from the world...
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'This app covers the following topics applicable to Calculus, AP Calculus AB, AP Calculus BC, Calculus I, and Calculus II:- Evaluate any numeric expression or substitute a value for a variable.- Plot basic, parametric, or polar plots of the function(s) of your choice.- Determine the limit of a function as it approaches a specific value.- Differentiate any function or implicit function.- Find the critical points and inflection points of a function.- Identify the local and absolute extrema of a function.- Integrate a function, with or without limits.- Sum a function given a lower and upper bound.- Find the closed form of a sequence or generate terms for a specific sequence Calculus Course Assistant App for iOS to your Bookmark Collection or Course ePortfolio
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'Taking precalculus? Then you need the Wolfram Precalculus Course Assistant. This definitive app for precalculus--from the...
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'Taking precalculus? Then you need the Wolfram Precalculus Course Assistant. This definitive app for precalculus--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn calculus concepts. Forget canned examples! The Wolfram Precalculus Course Assistant solves your specific precalculus problems on the fly, including solving equations, vector arithmetic, statistics, and much more.This app covers the following topics applicable to precalculus and trigonometry:- Evaluate any numeric expression or substitute a value for a variable- Solve a single equation or a system of equations- Plot functions on the x-y plane or draw a parametric or polar plot- Determine the sine, cosine, and tangent of a specific angle in a right triangle- Simplify, expand, or factor trigonometric functions- Find the partial fraction decomposition of an expression- Calculate the dot product, cross product, and magnitude of two vectors- Identify the mean, median, mode, and standard deviation of a set of data- Calculate permutations and combinationsThe Wolfram Precalculuscalculus Course Assistant App for iOS to your Bookmark Collection or Course ePortfolio
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'Taking pre-algebra? Then you need the Wolfram Pre-Algebra Course Assistant. This definitive app for pre-algebra--from the...
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'Taking pre-algebra? Then you need the Wolfram Pre-Algebra Course Assistant. This definitive app for pre-algebra--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn pre-algebra concepts. Forget canned examples! The Wolfram Pre-Algebra Course Assistant solves your specific pre-algebra problems on the fly.This app covers the following pre-algebra topics:- Find the divisors and prime factorization of a number- Calculate the GCD and LCM of two numbers- Determine the percent change- Reduce and round numbers- Evaluate expressions- Solve equations and simplify expressions- Convert units of length, area, volume, and weight- Compute the mean, median, and mode of a dataset- Plot equations on the coordinate plane- Graph inequalities on a number line- Calculate the area, surface area, or volume of a geometric figure- Find the midpoint, slope, and distance between two pointsThe Wolfram Pre-Al-Algebra Course Assistant App for iOS to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material Wolfram Pre-Algebra Course Assistant Linear Algebra Course Assistant App for iOS to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material Wolfram Linear Algebra Course Assistant App for iOS to your Bookmark Collection or Course ePortfolio | 677.169 | 1 |
next hurdle is typically signed numbers, symbolic operations on variables, and equations. These require extensive interactive examples and discussion | 677.169 | 1 |
0470499494
9780470499498
Details about Geometry and Symmetry:
This new book helps students gain an appreciation of geometry and its importance in the history and development of mathematics. The material is presented in three parts. The first is devoted to Euclidean geometry. The second covers non-Euclidean geometry. The last part explores symmetry. Exercises and activities are interwoven with the text to enable them to explore geometry. The activities take advantage of geometric software so they'll gain a better understanding of its capabilities. Mathematics teachers will be able to use this material to create exciting and engaging projects in the classroom.
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Rent Geometry and Symmetry 1st edition today, or search our site for L. Christine textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Wiley. | 677.169 | 1 |
CUSMS4
/ B008CUSMSX
New Complete Arithmetic on the Inductive Method, With Parallel, Mental and Written Exercises (Classic Reprint)
by:James William Nicholson...
Show More graded steps to discover principles and methods for himself. Therefore a practical union of induction and deduction is one of the strongest possible features of a good arithmetic. A special effort has been made to construct the present work on this plan. Not only are new topics introduced by carefully prepared inductive exercises, but, under the heading of parallel problems, each exercise intended for written work is preceded by an inductive question. The teacher should encourage the pupils to look to these oral questions for such hints as they may need in solving the more difficult problems, and thus train them in induction and deduction, as well as in mental and written work. The notation of numbers, operations, and relations forms the language of mathematics. It is not only the vehicle of thought, but very largely the means by which thought is directed and energized. In this, as in other things, it is a mistake to pass hastily from the concrete to the abstract | 677.169 | 1 |
0387982760
9780387982762
Details about Geometric Constructions:
Geometric constructions have been a popular part of mathematics throughout history. The ancient Greeks made the subject an art, which was enriched by the medieval Arabs but which required the algebra of the Renaissance for a thorough understanding. Through coordinate geometry, various geometric construction tools can be associated with various fields of real numbers. This book is about these associations. As specified by Plato, the game is played with a ruler and compass. The first chapter is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never seen. The second chapter formalizes Plato's game and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, using only a compass, using toothpicks, using a ruler and dividers, using a marked rule, using a tomahawk, and ending with a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics. He hopes that readers will learn a little geometry and a little algebra while enjoying the effort. This is as much an algebra book as it is a geometry book. Since all the algebra and all the geometry that are needed is developed within the text, very little mathematical background is required to read this book. This text has been class tested for several semesters with a master's level class for secondary teachers.
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Rent Geometric Constructions 1st edition today, or search our site for George Edward textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Springer. | 677.169 | 1 |
Graph Theory. Wiley Series in Discrete Mathematics and Optimization
A lively invitation to the flavor, elegance, and power of graph theory
This mathematically rigorous introduction is tempered and enlivened by numerous illustrations, revealing examples, seductive applications, and historical references. An award-winning teacher, Russ Merris has crafted a book designed to attract and engage through its spirited exposition, a rich assortment of well-chosen exercises, and a selection of topics that emphasizes the kinds of things that can be manipulated, counted, and pictured. Intended neither to be a comprehensive overview nor an encyclopedic reference, this focused treatment goes deeply enough into a sufficiently wide variety of topics to illustrate the flavor, elegance, and power of graph theory.
Another unique feature of the book is its user-friendly modular format. Following a basic foundation in Chapters 1-3, the remainder of the book is organized into four strands that can be explored independently of each other. These strands center, respectively, around matching theory; planar graphs and hamiltonian cycles; topics involving chordal graphs and oriented graphs that naturally emerge from recent developments in the theory of graphic sequences; and an edge coloring strand that embraces both Ramsey theory and a self-contained introduction to P?lya's enumeration of nonisomorphic graphs. In the edge coloring strand, the reader is presumed to be familiar with the disjoint cycle factorization of a permutation. Otherwise, all prerequisites for the book can be found in a standard sophomore course in linear algebra.
The independence of strands also makes Graph Theory an excellent resource for mathematicians who require access to specific topics without wanting to read an entire book on the subject.
Reviewed jointly with "A Beginner's Guide to Graph Theory" by W.D. Wallis published by Birkhauser:. "...both...are...quite similar.... Merris writes in a lively tone...all...have adequate sets of exercises. Those in Graph Theory are somewhat more generous, and perhaps more challenging...both are appropriate for upper-division undergraduates." (Choice, May 2001, Vol. 38 No. 9). . Compared to Graphs and Applications by Aldous and Wilson (Springer-Verlag 2000) and A Beginner's Guide to Graph Theory by Wallis (Birkhauser 2000): "...M [Merris] has a...sophisticated chapter on graphic sequences...some very nice material...which sets it apart from the other two books...all three books are well written.... I am especially impressed with the exercises in M. Not only are there more in M than in the other two books...but there is an excellent range of levels of the problems..." (SIAM Review, Vol. 43, No. 3). . "...a mathematically rigorous introduction and designed as a versatile instruction tool..." (Quarterly of Applied Mathematics, Vol. LIX, No. 2, June 2001). . "The author's intent to write a lean and lively invitation to graph theory designed to attract and engage students, is well met..." (Zentralblatt MATH, Vol. 963, 2001/13Graph Theory. Wiley Series in Discrete Mathematics and Optimization | 677.169 | 1 |
Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more | 677.169 | 1 |
Category III: Critical Thinking/Problem Solving: The students will be able to:
demonstrate an understanding of solving problems by:
recognizing the problem
reviewing information about the problem
developing plausible solutions
evaluating the results
Planned Sequence of Topics and/or Learning Activities:
The following is a list of the minimum amount of course material to be covered by the instructor. Accompanying each topic is an approximate number of lessons required to study the topic.
Trigonometric Functions (8 lessons)
Angle Measurement (degree and radian measure)
Angle Relationships and Similar Triangles
Definitions of Trigonometric Functions
Trigonometric Functions of Acute and Non-Acute Angles
Right Triangle Trigonometry (4 lessons)
Solving Right Triangles
Applications
Circular Functions (5 lessons)
Circular Functions of Real Numbers
Linear and Angular Velocity
Graphs of the Basic Trigonometric Functions
Vertical and Horizontal Translations of Basic Graphs
Identities (6 lessons)
Pythagorean and Reciprocal Identities
Sum and Difference Identities
Half and Double Angle Identities
Verifying Identities
Inverse Functions (3 lessons)
Definitions and Graphs of Inverse Functions
Solving Equations
Solving Oblique Triangles (4 lessons)
Law of Sines
Law of Cosines
Area Formulas
Applications
Vectors (2 lessons)
Magnitude and Direction Angle
Addition, Subtraction, and Scalar Multiplication
Dot Product
Applications
Complex Numbers (2 lessons)
Trigonometric and Rectangular Form
Multiplication and Division
Powers and Roots of Complex Numbers
Polar Equations and Graphs (1 lesson)
Parametric Equations and Graphs (1 lesson)
Analytic Geometry (3 lessons)
Parabola
Ellipse
Hyperbola
Assessment Methods for Core Learning Goals:
All Core Critical Thinking and Problem Solving, College Level Mathematics or Science, and Discipline-Specific Course Objectives will be assessed as follows:
The student will apply mathematical concepts and principles to identify and solve problems presented through informal assessment, such as oral communication among students and between teacher and students and, for the core, formal assessment using open-ended questions reflecting theoretical and applied situations.
Reference, Resource, or Learning Materials to be used by Students:
Departmentally selected textbook. Details provided by the instructor of each course section. See Course Format. | 677.169 | 1 |
Algebra Adds Value To Mathematical Biology Education
Date:
August 3, 2009
Source:
Virginia Tech
Summary:
As mathematics continues to become an increasingly important component in undergraduate biology programs, a more comprehensive understanding of the use of algebraic models is needed by the next generation of biologists to facilitate new advances in the life sciences, according to researchers.
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As mathematics continues to become an increasingly important component in undergraduate biology programs, a more comprehensive understanding of the use of algebraic models is needed by the next generation of biologists to facilitate new advances in the life sciences, according to researchers at Sweet Briar College and the Virginia Bioinformatics Institute (VBI) at Virginia Tech.
VBI Professor Reinhard Laubenbacher and Sweet Briar College Mathematical Sciences Professor Raina Robeva have highlighted algebraic models as one of the diverse mathematical tools needed in the professional development of up-and-coming life scientists in a new article in Science. Despite this critical need, the authors explain, algebraic models have played a less substantial role in undergraduate curricula than other methods.
Future generations of biologists will routinely use mathematical and computational approaches to develop and frame hypotheses, design experiments, and analyze results. Sound mathematical models are essential for this purpose and are currently used in the field of systems biology to understand complex biological networks. Two types of mathematical models, in particular, have been successfully used in biology to reproduce network structure and dynamics: Continuous-time models derived from differential equations (DE models) focus on the kinetics of biochemical reactions, while discrete-time algebraic models built from functions of finite-state variables focus on the logic of the connections of network variables. According to Laubenbacher and Robeva, while DE models have been included more often in undergraduate curricula integrating mathematics and biology, algebraic models should also be viewed as an important training component for students at all education levels.
"Discrete-time algebraic models created from finite-state variables, such as Boolean networks, are increasingly being used to model a variety of biochemical networks, including metabolic, gene regulatory, and signal transduction networks," says Laubenbacher. "Often, researchers do not have enough of the information required to build detailed quantitative models. Algebraic models need less information about the system to be modeled, making them useful for instances where quantitative information may be missing. All the work that goes into building them can then be used to construct detailed kinetic models, when additional information becomes available. In addition, algebraic models are much more intuitive than differential equations models, which makes them more easily accessible to life scientists."
Using algebraic models is a relatively quick, easy and reliable way for students to integrate mathematical modeling into their life sciences coursework. Creating algebraic models of biochemical networks requires only a modest mathematical background, which is usually provided in a college algebra course. Without the complexities involved in teaching students how to construct more complicated models, algebraic models make the introduction of mathematical modeling into life sciences courses more accessible for faculty members as well.
According to Robeva, "The exciting thing about algebraic models from an educational perspective is that they highlight aspects of modern-day biology and can easily fit in both the biology and mathematics curricula. At the introductory level, they provide a quick path for introducing biology students to constructing and using mathematical models in the context of contemporary problems such as gene regulation. At the more advanced level, the general study and analysis of such models often require sophisticated mathematical theories. This makes them perfect for inclusion into mathematics courses, where the biology can provide a meaningful framework for many of the abstract structures. As educators, we should actively be looking for the best ways to seize this opportunity for advancing mathematical biology."Apr. 4, 2014 — A long-standing challenge in synthetic biology has been to create gene circuits that behave in predictable and robust ways. Mathematical modeling experts and experimental biologists have now created ... read more
Sep. 16, 2013 — Researchers have found high school students in the United States achieve higher scores on a standardized mathematics test if they study from a curriculum known as integrated ... read more
Nov. 1, 2010 — Researchers have developed a novel algebraic model of DNA hybridization, a process central to most biotechnology devices that monitor changes in cell's gene expression or characterize a ... read more | 677.169 | 1 |
Describing Eigenvalues and Eigenvectors
Date: 04/05/98 at 16:10:40
From: Charlie Higgins
Subject: Eigenvalues
After working 30 years in industry, I went through an alternative
Teacher Certification program and got a teaching certificate. I now
teach at a high school. I do not have a degree in mathematics and my
degree is in Chemistry, but I do have a minor in math with enough
hours to qualify for the math certificate.
The new Algebra II books have a chapter on matrices (basic). One of
my students asked me the other day "What is an Eigenvalue?" I did
not take linear algebra in college and could not answer him. Could
someone explain to me in terms where I can explain it to my student
what an Eigenvalue is?
Warmest Regards,
Charlie Higgins
Date: 04/06/98 at 08:13:58
From: Doctor Jerry
Subject: Re: Eigenvalues
Hi Charlie,
If A is an n by n matrix, then a real or complex number w is an
eigenvalue of A if there is a nonzero n by 1 matrix Y for which
A*Y = w*Y. The vector Y is an eigenvector.
If you think about 2 by 1 matrices X as like vectors in an (x,y)-plane
and A is a given matrix, then multiplication by A is like a
deformation of the plane. The point with position vector X is
transformed to AX. If A is a rotation matrix, for example, which
rotates each point X about the origin, then original position is X
and, after rotation, AX. Or A can be thought about as an elastic
deformation of the plane, where the plane is an elastic sheet. X is
the position vector of a point before deformation and AX is the
position vector after deformation.
Let:
A = [ 2 2 ]
[ -1 5 ]
and let:
X = [ x ]
[ y ]
Then:
AX = [ 2x+2y ]
[ -x+5y ]
One can ask: under this elastic deformation, is there a direction
along which there is no rotation, just pure stretching? So, one wants
a direction X for which:
AX = wX
where w is a scalar. wX would be pure stretching, since the direction
wouldn't change.
So, we want X and w so that (A-wI)X = 0, where I is 2 by 2 identity.
This system of equations has a nontrivial solution only if
det(A-wI) = 0.
A-wI = [ 2-w 2 ]
[ -1 5-w ]
det(A-wI) = (2-w)(5-w)+2 = (w-3)(w-4)
So, eigenvalues are 3 and 4.
This part of linear algebra is very important to engineers,
physicists, mathematicians, statisticians, and others.
-Doctor Jerry, The Math Forum
Check out our web site!
Date: 04/06/98 at 08:33:43
From: Doctor Anthony
Subject: Re: Eigenvalues
An easy way to visualize what eigenvalues and eigenvectors are is to
think in 2 dimensions and consider a matrix transformation in
the plane.
A matrix M, say:
M = [a b]
[c d]
operating on a vector u will in general change u by enlarging,
rotating, reflecting, or shearing u to some new vector v. Now suppose
we want to look at the SPECIAL vector u which apart from enlargement
or contraction remains in same direction as u after the transformation
by the matrix M. What we require is:
M*u = k*u where k is some scalar factor (the enlargement factor)
So:
[a b][x] = k[x]
[c d][y] [y]
and
ax + by = kx
cx + dy = ky
(a-k)x + by = 0
cx + (d-k)y = 0
Now we have two homogeneous equations (no constant terms only terms in
x and y) with two unknowns, and we can only have solutions other than
x = 0, y = 0 if:
a-k b
---- = ----
c d-k
then:
(a-k)(d-k) - bc = 0 (Equation 1)
This condition is usually given in the form:
determinant |a-k b| = 0
| c d-k|
If we multiply out equation (1) we get:
ad - k(a+d) + k^2 - bc = 0
k^2 - k(a+d) + ad - bc = 0
This is a quadratic in k of the form:
k^2 - k(Trace M) + Det M = 0
(Trace = sum of leading diagonal of M, Det M = determinant of M)
The two values of k which are solutions to this equation are the
EIGENVALUES of M. Suppose we call them k1 and k2; then we can also
find the unique vectors u1 and u2 that remain unchanged (apart from
enlargement) when matrix M is used to transform them.
We have:
(a-k1)x + by = 0
(a-k1)x = - by
x -b
--- = ----
y a-k1
and we get:
u1 = |x| = | b |
|y| |k1-a|
and so associated with the eigenvalue k1 we get the eigenvector u1
given by:
u1 = | b |
|k1-a|
and there will be another eigenvector u2 associated with the
eigenvalue k2.
If we express any other vector in terms of u1 and u2 as unit base
vectors, then the transformation represented by M can be given much
more simply as the matrix
[k1 0] = D
[ 0 k2]
This has many applications, and one that you might meet fairly soon is
finding powers of matrices. You 'diagonalize' a matrix M by expressing
it in terms of u1, u2, and the above matrix, D, with leading diagonal
k1 and k2.
If P = matrix made up of u1 and u2 as columns of P then:
M*P = P*D
which follows from M*u1 = k1*u1 and M*u2 = k2*u2.
So:
M = P*D*P^(-1)
where P^(-1) is inverse matrix of P.
Then:
M^2 = P*D*P^(-1)*P*D*P^(-1)
= P*D*D*P^(-1)
= P*D^2*P^(-1)
Similarly:
M^3 = P*D^3*P^(-1)
and:
M^n = P*D^n*P^(-1)
and of course D^n is simply:
[k1^n 0]
[ 0 k2^n]
I have just touched on the subject, but you will find that
understanding this basic work on eigenvalues and eigenvectors will
make the work of transformation geometry a lot clearer than it might
otherwise be.
-Doctor Anthony, The Math Forum
Check out our web site! | 677.169 | 1 |
70
Comment: The cover shows normal wear and tear. The cover has a slightly warped spine. The pages show normal wear and tear resource illustrates the mathematics that a game programmer would need to develop a professional-quality 3D engine. The book starts at a fairly basic level in each of several areas such as vector geometry, modern algebra, and physics, and then progresses to somewhat more advanced topics. Particular attention is given to derivations of key results, ensuring that the reader is not forced to endure "gaps" in the theory. The book discusses applications in the context of the OpenGL architecture. It assumes basic understanding of matrix algebra, trigonometry, and calculus, and concentrates on key math topics for programming game engines and computer graphics. Included are exercise sets which should allow the book to be used as a textbook. The book discusses applications in the context of the OpenGL architecture due to its cross-platform nature with references to certain 3D hardware such as the GeForce from Nvidia and the Radeon from ATI Presents mathematical theory and subsequently provides examples using practical applications.
Editorial Reviews
About the Author
Eric Lengyel is a Senior Software Engineer at the 3DO Company in Redwood City, CA. He holds an MS in Mathematics from Virginia Tech and has written several articles for industry periodicals including gamasutra.com. He is also the area editor in geometry management for Game Programming Gems 2Eric Lengyel is a veteran of the computer games industry with over 16 years of experience writing game engines. He has a PhD in Computer Science from the University of California at Davis and an MS in Mathematics from Virginia Tech. Eric is the founder of Terathon Software, where he currently leads ongoing development of the C4 Engine.
Most Helpful Customer Reviews
Finally, no more searching through all my college math textbooks for the reference I need for real-time 3D software development. The basics of vectors and matrices are of course included, but in much more depth than you got in school, more than likely - and with emphasis on how they are useful in 3D game programming. So many game developers lack an intuitive feel for such basics as transformation matrices, dot products, and cross products and are hobbled by this; just read up to chapter three and the lights will go on, so to speak. The chapter on lighting is particularly, well, enlightening - not only are the various lighting models explained in detail (including some I was unfamiliar with before), but the author provides means for accomplishing them in real-time using texture and vertex shaders. The notation used in the book is modern and consistent, and the code samples clearly written. I believe this is the first volume to combine complete mathematical explanations of essential 3D computer graphics operations with practical advice on how to implement the sometimes complex math efficiently in real-time systems. The chapters on picking and collision detection are also complete and include practical advice on implementation in addition to the theory behind it. This is not a book for most high school math students - the author assumes you've at least been through some higher level math and can talk the basic language of mathematics. However, it does not presuppose that you are familiar with anything but basic calculus, and more importantly, it doesn't assume that you're familiar with some quirky notational system specific to the author. I haven't been in a math class for ten years, but I had no trouble understanding any concepts introduced in this book upon the first read. I don't forsee this volume leaving my desk anytime soon!
What a wonderful book. Any beginner to computer graphics and game development is often overwhelmed by the mathematics that runs the show. Until now, anyone new to the field has been forced to run self-taught refresher courses on Linear Algebra and Calculus while trying to learn an already-difficult subject. Small wonder that many developers quit out of frustration. Most computer graphics books provide small backgrounders on the mathematics needed to get by, but almost none of them provides a thorough education and solid explanation on what's really going on. The worst in the group (such as "3D Game Engine Design") provide no assistance whatsoever, and leave the reader floundering by the end of the preface. Mr. Lengyel's book provides solid mathematical theory on most of the major subjects in computer graphics/game development, and can be looked at as a companion volume to almost any computer graphics text. 3D transformations, lighting calculations, collision/intersection detection-- those are a few of the subjects discussed in the book, in such a way that the intermediate reader can follow along and learn the theory without having to cry for mother. Please note that you need at least *some* mathematics background to make use of this book; if you're unfamiliar with basic calculus terms for instance, you'll probably want to take a pass, as this book isn't a complete hand-holder. You can only accomplish so much in 400 pages, after all. For everyone else who took their college math classes (and subsequently forgot most of the material), this book is a great refresher and will get you ready for fully exploring computer graphics. My only regret is that there's no second volume to discuss curved surfaces and slightly more advanced topics-- no one can have it all I suppose.
If this book had all exercises answered in the Answers section I'd give it a 5. It is a wonderfully clear book (so far, I am not done with it yet). It does more than crank out rote formulas, it proves them in an accessible fashion! I have been able to use what I have taught myself to do my work with a better understanding (I recently joined a CAD company after years in non-graphics work) and this book has been helpful. I will finish this book as it is way better than its comptetion for covering the maths needed for modern computer graphics. I have but one regret regarding this book, that I didn't have it 5 years ago when I started playing with OpenGL using the Red Book. I have wasted much time and money trying to find the information in this book to grasp the real tools beyond mere APIs.
This book provides a solid foundation for anyone who wants to develop a good understanding of the math behind computer graphics. The author provides clear and concise explanations of the concepts covered, backs them up with mathematical proofs, and usually discusses how the concepts can be applied in games, often with sample code. Each chapter has accompanying exercises that I recommended working through. The topics covered include things you would expect like matrices, vectors, transformations, 3D geometry, and lighting, but also includes are topics like collision detection, ray tracing, visibility determination, and techniques such as billboarding and shadows. It concludes with several chapters on physics including fluid simulation, and a few useful appendices covering trig, complex numbers, and Taylor series. If you're brand new to graphics and game programming and haven't had a math class in a while, then the somewhat textbook-like language may be a little daunting, but otherwise, this book is an excellent resource for those interested in solidifying their knowledge of 3D math. | 677.169 | 1 |
An Interactive Approach for Grades K-8
0495561665
9780495561668
Details about Mathematics for Teachers:
Mathematics for Teachers: An Interactive Approach for Grades K-8 actively involves students in developing and explaining mathematical concepts and how the topics relate to NCTM Standards and Curriculum focal points. The text includes coverage of reasoning, sets, arithmetic, geometry, measurement, algebra, statistics, and probability. The carefully organized, interactive lesson format promotes student involvement and gradually leads the student to a deeper understanding of mathematical ideas.
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Rent Mathematics for Teachers 4th edition today, or search our site for Thomas textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by CENGAGE Learning. | 677.169 | 1 |
Summary: Introductory Technical Mathematics, 5th Edition provides current and practical vocational and technical math applications for today's sophisticated trade and technical work environments. Each unit delivers practical math concepts alongside step-by-step examples and problems drawn from various occupations. The plentiful examples and problem sets emphasize on-the-job applications of math. Enhancements to the fifth edition include improved algebra coverage, a new section on basic statistics, new material on conversions from metric to customary systems of measure, and a section that supplements the basics of working with spreadsheets for graphing.
Features:
a new section on basic statistics features an all-new chapter on statistics and a chapter that consolidates all the statistical graphing techniques of bar, line, and circle graphs into one location | 677.169 | 1 |
This book offers ideas, blue-prints and actions that can help raise public awareness of the importance of mathematical sciences in our contemporary society. It covers national experiences, exhibitions, mathematical museums, and other popularization activities
Featuring articles containing the lectures presented at the Free Boundary Problems Conference that took place at the University of Coimbra, Portugal, from June 7 to 12, 2005. This work deals with the mathematics of a broad class of models and problems involving nonlinear partial differential equations arising in physics, engineering, and biology. more...
The book contains a full range of articles, varying from general introductory texts to state-of-the-art research in biomathematics, with topics ranging from population genetics, population dynamics, speciation, adaptive dynamics, game theory, kin selection, and stochastic processes. Advanced students and researchers in mathematics, biology and related... more...
This book is the ?Study Book? of ICMI-Study no. 20, which was run in cooperation with the International Congress on Industry and Applied Mathematics (ICIAM). The editors were the co-chairs of the study (Damlamian, Straesser) and the organiser of the Study Conference (Rodrigues). The text contains a comprehensive report on the findings of the StudyInitial Considerations
Topics of Elementary Statistics
Introductory Notions
General Ideas
Variables
Populations and Samples
Importance of the Form of the Population
First Ideas of Interference on a Normal Population
Parameters and Estimates
Notions on Testing Hypotheses
Inference of the Mean of a Normal Population
Inference... more...
Parallel Computations focuses on parallel computation, with emphasis on algorithms used in a variety of numerical and physical applications and for many different types of parallel computers. Topics covered range from vectorization of fast Fourier transforms (FFTs) and of the incomplete Cholesky conjugate gradient (ICCG) algorithm on the Cray-1 to... more... | 677.169 | 1 |
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Under the Americans with Disabilities Act, many products need to be manufactured or altered to meet the needs of people in wheelchairs. Products such as picnic tables are designed to accommodate those individuals....
The matter of women education in the Arab community occupies a leading position in the priorities of the contemporary historical stage. It is the most debatable issues between different cultures within the same society; this is somehow due to the increasing interest in human rights, democracy and the waves of intellectual and human liberation that is happening in the world under the effect of globalization. It is associating with structural changes in the economic and social policies in different countries, which had a significant influence on the happening of new opportunities and challenges for women....
Miracles are a strange phenomenon, what would you consider a miracle? Achieving the unexpected, something happening against all odds or just something to wonder at, something marvelous? What would your definition be? The medical definition is much stricter to comply to. However what I am considering are the marvelous happenings that are created all around us. Sometimes you could also call them dreams fulfilled....
Strange things can happen on distant alien worlds in orbit around stars other than our Sun. These faraway exoplanets often display characteristics so bizarre that they are unlike anything astronomers ever expected to see--even in their wildest dreams. When small stars like our Sun run out of their necessary supply of fuel, they have reached the sad and bitter end of that long stellar road, and die a relatively quiet, peaceful death by blowing off their outer gaseous layers into interstellar space. This ejected material could, at least theoretically, somersault onto a lucky gas-giant planet, causing it to swell in mass and heat up. In June 2015, astronomers announced their tentative discovery of evidence for hypothesized "rejuvenated planets," which are giant planets that regain their youthful, radiant infrared glow as a result of being the fortunate beneficiaries of this ejected stellar "fountain of youth" from their doomed, dead parent-stars!...
When you think about the word mindfulness you may not automatically associate it with learning and higher education. Most educators want to focus their attention on the subject matter being taught and the development of skills that are needed to ensure academic success, such as writing and reading skills. Mindfulness is also associated with spirituality and guided meditation, which again may not seem like a natural fit for the learning process. But mindfulness has a much broader definition and potential use, and it is utilized in both organizations and schools. The one exception is distance learning and for that field there is little direct application and implementation of mindfulness practices....
Many years later Sigmund Freud's dream theory showed to the world that dreams reflect secret desires of the dreamer. Dreams became known as wish fulfilments. Carl Jung discovered that all dreams are produced by the unconscious mind and all dream images already have a meaning given by the dream producer. However, his complicated, obscure, and time consuming method of dream interpretation was too incomprehensible. Only a few souls managed to follow his steps....
Other articles by Marcia Henin
A wholesale business is a good choice, especially if you are interested in clothing. It is a business where you can earn more profits. Today, the manufacturing and selling of wholesale clothes is a very lucrative business. The demand for wholesale clothing businesses is very...
The clothing market in the US has always been competitive. It is difficult to survive in this segment unless you provide a wide variety of quality goods at the best price for consumers. The Wholesale clothing stores US reduces the procuring costs of clothes by...
Patch Clamping is a process, which determines what's happening in a single living cell. The technique used for this measurement is a patch clamp that requires a fine pipette held tightly opposite the cell membrane. A fine pipette is derived by heating and pulling... | 677.169 | 1 |
The two-line display scientific calculator combines statistics and advanced scientific functions and is a durable and affordable calculator for the classroom. The two-line display helps students explore math and science concepts in the classroom | 677.169 | 1 |
Pace University
Detailed Course Information
Spring 2014
Jul 03, 2015
Select the desired Level or Schedule Type to find available classes for the course.
ED 503 - Survey of Algebra
Course Description: This course provides candidates with an opportunity to deepen their content area knowledge in algebra. Topics include graphing, polynomial, rational, exponential and logarithmic functions. Topics also include matrix operations, systems of equations, sequences and series, combinatorics and topics in abstract algebra. The course emphasizes mathematical reason rather than mathematical results. Instruction in communicating mathematics is an important component. Candidates will demonstrate understanding of concepts and operations in algebra at an advanced level. Candidates will be able to utilize concepts and operations in algebra at an advanced level. Candidates will be able to utilize concepts and operations in algebra for the creation of lesson and unit plans appropriate for grade 7-12 students. | 677.169 | 1 |
Developers of curriculum materials and software designed to make math relevant, accessible and successful for middle-school students. While working on real-world multidisciplinary design problems, students grapple with mathematics from basic skills to higher level concepts. The site provides an overview of the project as a whole and the curriculum in particular, a Frequently Asked Questions (FAQ) list, a chat room, research techniques and results used in developing the curriculum and information on a CD-ROM that can be purchased: A Video Exploration of Classroom Assessment (with an extensive bibliography of assessment materials). | 677.169 | 1 |
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Show More graphics, illustrations, examples, and application problems, topics covered in this easy-to-follow book are linear equations and inequalities; factors and fractions; exponents and radicals; functions and graphs; quadratic equations; systems of equations; higher degree equations; exponential and logarithmic functions; right angle trigonometry; vectors and oblique triangles; graphs; complex numbers; analytic geometry; introduction to statistics and empirical curve fitting; sequences, series, and the binomial theorem; differentiation with applications; integration with applications; derivations of transcendental functions; and differential equations. For workers in technical fields needing to brush up on their mathematic skills147.00
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...However, neither the prep books nor the school text books teach math that way. Enc Ph... | 677.169 | 1 |
Math & Statistics
Mathematics is the study of numbers, sets of points and various other abstract elements and deals with the size, order, shape and various relationships among these features. Statistics is a branch of Mathematics that includes the study of methods for data collection, analysis, interpretation and principles of experimental design. Mathematics contributes to the formulation and solution of problems in diverse fields such as Medicine, Economics and the Social Sciences in addition to being the foundation of the field of Computer Science and the "language" of Science and Engineering.
Obituary: Professor Emeritus Murray Marshall posted May 4, 2015
On May 1, 2015, Professor Emeritus in the Department of Mathematics & Statistics Murray Marshall passed away. He was 75 years old.
A memorial service will be held on Tuesday, May 5, 2015 at... | 677.169 | 1 |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for). | 677.169 | 1 |
Elementary Technical Mathematics Tenth Edition was written to help students with minimal math background prepare for technical, trade, allied health, or Tech Prep programs. The authors have included countless examples and applications surrounding such fields as industrial and construction trades, electronics, agriculture, allied health, CAD/drafting, HVAC, welding, auto diesel mechanic, aviation, natural resources, and others. This edition covers basic arithmetic including the metric system and measurement, algebra, geometry, trigonometry, and statistics, all as they are related to technical and trade fields. The goal of this text is to engage students and provide them with the math background they need to succeed in future courses and careers293.95
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This eModule presents sequences of geometric patterns and encourages students to generate rules and functions describing relationships between the pattern number and characteristics of the pattern. Students are also given the opportunity to represent the relationships they come up with using tables and graphs | 677.169 | 1 |
Mathematics for the Health Sciences
9780818504785
ISBN:
0818504781
Edition: 1 Pub Date: 1996 Publisher: Cengage Learning
Summary: Students will learn basic math skills, the use of measurement systems, and strategies of problem solving needed in health science courses. This text is designed for active learning--students are asked to answer questions that follow the introduction of each new topic. Students can compare their responses with the answers provided in the margins to know if they are ready to go on to the next subsection. Exercise sets ...and self-tests, with their answers, are also provided. Proportions are used extensively; dimensional analysis is emphasized.
Keith J. Roberts is the author of Mathematics for the Health Sciences, published 1996 under ISBN 9780818504785 and 0818504781. Four hundred eighty two Mathematics for the Health Sciences textbooks are available for sale on ValoreBooks.com, fifty three used from the cheapest price of $25.35, or buy new starting at $142 | 677.169 | 1 |
Calculus BC
Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics. Both courses represent college-level mathematics for which most colleges grant advanced placement and credit. The content of Calculus BC is designed to qualify the student for placement and credit in a course that is one course beyond that granted for Calculus AB.
Before studying calculus, all students should complete four years of secondary mathematics designed for college-bound students: courses in which they study algebra, geometry, trigonometry, analytic geometry, and elementary functions. These functions include those that are linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise defined. In particular, before studying calculus, students must be familiar with the properties of functions, the algebra of functions, and the graphs of functions. Students must also understand the language of functions (domain and range, odd and even, periodic, symmetry, zeros, intercepts, and so on) and know the values of the trigonometric functions of the numbers 0, pi/6, pi/4, pi/3, pi/2, and their multiples. (Taken from College Board web site | 677.169 | 1 |
The basic philosophy for the book is to provide easy-to-use classroom activities to instructors so that they can easily replace lecturing time with more active learning. The book also provides instruction tips and lesson plans so that any algebra instructor, especially new ones, can have a "mentor" to guide them and help them reflect on how students learn.
If you go to the Samples section of the Community Site, you can print and use some of the activities from the book in your classes. You can also see some of the fantastic new algebra cartoons that were commissioned as part of this project. | 677.169 | 1 |
Middle Grades Math Placement Test - Saxon Home School
1hits
description:
7th grade algebra practice problems year in the textbook designed for students at that grade level (Math 5/4 for fourth ... for fifth grade, Math 7/6 for sixth grade, Math 8/7 for seventh grade, and Algebra . Allow the student to work until he/she cannot complete any more problems. 2. | 677.169 | 1 |
Foundations of Mathematical Reasoning is a semester-long quantitative literacy-based course designed to provide you with the skills and conceptual understanding to succeed in a college-level statistics or quantitative literacy course.
Foundations is organized around big mathematical and statistical ideas. The course will help you to develop conceptual understanding and acquire multiple strategies for solving problems. The course will also prepare you for success in future courses and will help you develop skills for the workplace and as productive citizens.
If you qualify to take the Foundations course, you will only have to take two math courses instead of fourIf you qualify to take the Foundations course, you will only have to take two math courses instead of threeWe at Lone Star College are interested in our students' success while at our institution as well as after a student moves on to bigger goals. As such, the following are important to note:
These courses are currently only being offered at Lone Star College - Kingwood.
It is recommended that students enroll in the NMP-designated Statistics course in the Spring semester.
Some majors may require an additional math course in order to complete requirements for a degree.
Statistics (MATH 1342) will complete the mathematics component for an Associate of Applied Science (AAS) or an Associate of Arts (AA) degree, but a second math course will be required to complete the mathematics component of an Associate of Science (AS) degree. | 677.169 | 1 |
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