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FUNCTIONS in Multiple Representations
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PRODUCT DESCRIPTION
5 VIEWS of a FUNCTION
Tables-Equations-Graphs-Illustration-Scenarios
This resource provides 25 UNIQUE scenarios that students will interpret and represent in different ways. It has been a great activity for my students to see the connections between the different representations of a function.
(Illustration may not be considered a mathematical representation, however, being able to visualize the situation is a skill lacking in many students that encourages mathematical thought)
Students are given any one of the five representations (views) and are asked to create the other four.
Included
teacher notes
a template for presenting the five views of a function
25 SCENARIOS
5 tables
5 equations
5 graphs
5 Illustrations
5 scenarios
solutions for all 25 situations (student answers for scenarios will be unique)
This activity can be used to introduce each functional representation or it can be used after the content is taught to make the connections between each. The functions are all linear, first quadrant functions will real applications.
"5 Views of a Function" engages students as they remember, understand, apply, analyze, evaluate and create.
Although this is NOT a matching game. However, the solution pages could be cut apart and adapted to create a matching game. I love it when one resource can be utilized in different ways! Please leave feedback to let me know how you use this | 677.169 | 1 |
Mathematical Education for the Gifted Secondary School Student. MEGSSS in Action.
Kaufman, Burt; And Others
This booklet provides an overview of the Elements of Mathematics Program used in Project MEGSSS (Mathematics Education for Gifted Secondary School Students). It was designed for gifted students in grades 7-12 with excellent reading and reasoning ability. It attempts to explore the upper content limits of the mathematics that such students can understand and appreciate. An innovative feature is that some of the more advanced parts are not to be teacher-taught in the classical mode; students read several books on their own, with the teacher then leading a discussion of what was read. The contents of the program are listed, with a detailed description in an appendix. The role of logic and intuition, enrichment and acceleration, teacher preparation, and evaluation are considered, followed by some questions and answers about the Project. (MNS) | 677.169 | 1 |
biology essay
The Solution Of System Of Linear Equation Biology Essay
Published: 23, March 2015
This essay has been submitted by a student. This is not an example of the work written by our professional essay writers.
The introduction and development of the notion of a matrix and the subject of linear algebra followed the development of determinants, which arose from the study of coefficients of systems of linear equations. Â
Gauss developed Gaussian elimination around 1800 and used it to solve least squares problems in celestial computations and later in computations to measure the earth and its surface the branch of applied mathematics concerned with measuring or determining the shape of the earth. The first appearance of Gauss-Jordan elimination in print was in a handbook on geodesy written by Wilhelm Jordan. Many people incorrectly assume that the famous mathematician Camille Jordan is the Jordan in ''Gauss-Jordan'' elimination.Â
For matrix algebra to fruitfully develop one needed both proper notation and the proper definition of matrix multiplication. In 1848 in England, J.J. Sylvester first introduced the term ''matrix,' 'as a name for an array of numbers. Matrix algebra was nurtured by the work of Arthur Cayley in 1855. The famous Cayley-Hamilton theorem which asserts that a square matrix is a root of its characteristic polynomial was given by Cayley in his 1858 Memoir on the Theory of Matrices. The use of a single letter A to represent a matrix was crucial to the development of matrix algebra. Early in the development the formula det(AB) = det(A)det(B) provided a connection between matrix algebra and determinants.Â
Introduction Of Matrices:
The term matrix was apparently coined by JAMES JOSEPH SYLVESTER about 1850, but was introduced first by ARTHUR CAYLEY in 1860. By 'matrix' we mean a rectangular array of quantities or expressions set out by rows and columns; treated as a single element and manipulated according to rules. The elegant 'shorthand' representation of an array of many numbers as a single object and calculations makes matrices useful.
Matrices find many applications. Physics makes use of matrices. Matrices find many applications. Physics makes use of matrices in various domains, for example in geometrical optics and matrix mechanics; the latter led to studying in more detail matrices with an infinite number of rows and columns. Graph theory uses matrices to keep track of distances between pairs of vertices in a graph. Computer graphics uses matrices to project 3-dimensional space onto a 2-dimensional screen. Matrix calculus generalizes classical analytical notions such as derivatives of functions or exponentials to matrices. The latter is a recurring need in solving ordinary differential equations. Serialism and dodecaphonism are musical movements of the 20th century that use a square mathematical matrix to determine the pattern of music intervals.
Definition Of Matrix:
A matrix is a rectangular arrangement of numbers in m rows(horizontal lines) and n columns(vertical lines). The numbers in the matrix are called its entries or its elements. To specify a matrix's size, a matrix with m rows and n columns is called an m-by-n matrix or m Ã- n matrix, while m and n are called its dimensions. It is called a rectangular matrix.
System Of Linear Equation
A system of linear equation has the following properties:
It consists of several parts which interact and affect one another.Â
It produces an effect or output as a result of some cause or input.
A linear equation in one unknown is an equation of the form a x = b, where a and b are constants and x is an unknown that we can solve. Similarly, a linear equation in n unknowns x1, x2, …,xn is an equation of the form:
a1 · x1 + a2 · x2 + … + an · xn = b,
where a1, a2, …, an and b are constants. The word linear came as an equation in two unknowns or variables represents a straight line. Thus set of those equations is called a system of linear equations. .
A linear system is a system where the output is proportional to the input.
Mathematically it can be described how the parts of a linear system relate to each other and to the input using a system of linear equations. If a linear system has n parts , then it can be described with a system of n linear equations in n unknowns or variables. The unknowns in these equations are the values of the inputs the inputs.
Example of a system of two linear equations in which there are two unknowns x and y:
x + y = 4
2x - 3y = 6
Example of a system of three linear equations in which there are three unknowns x, y and z variables
4x + 8y + 4z = 80
2x + y - 4z = 7
3x - y + 2z = 22
GAUSSIAN ELIMINATION METHOD
In linear algebra, Gaussian elimination is an efficient algorithm for solving systems of linear equations, to find the rank of a matrix, and to calculate the inverse of an invertible square matrix. It is used for solving a system of n linear equations in n unknowns, in which there are first n - 1 steps, the mth step of which consists of subtracting a multiple of the mth equation from each of the following ones so as to eliminate one variable, resulting in a triangular set of equations which can be solved by back substitution, computing the nth variable from the nth equation, the (n - 1)st variable from the (n - 1)st equation, and so forth.
Elementary row operations are used to reduce a matrix to row echelon form. An extension of this algorithm, Jordan elimination, reduces the matrix further to reduced row echelon form. Gaussian elimination alone is sufficient for many applications.
Algorithm Overview Of Gaussian Elimination Method
The method of Gaussian elimination consist of two parts.
The first part reduces a given system to either triangular or echelon form, or results in a degenerate equation with no solution, indicating the system has no solution. This is accomplished through the use of elementary row operations. The second step uses to find the solution of the system above.
As Stated for matrices, the first part reduces a matrix to row echelon form using elementary row operations and the second reduces it to reduced row echelon form, or row canonical form.
Solving System Of Linear Equation By Gaussian Elimination Method
A "system" of equations is a set or collection of equations. The equation
a x + b y + c z + d w = h
where a, b, c, d, and h are given known numbers, while x, y, z, and w are unknown numbers, is known as linear equation. If h =0, the linear equation is called homogeneous equation. A linear system is a set of linear equations and a homogeneous linear system is a set of homogeneous linear equations. Linear equation are easy and simplier then non-linear equations, while the simplest linear system is one with two equations and two variables.
Steps for solving system of linear equation by Gaussian elimination method:
1. Constructing the augmented matrix for the system.
2.Using elementary row operations for transforming the augmented matrix into a triangular one.
3.Writing down the new linear system for which the triangular matrix is the associated augmented matrix.
4.Solving the new system. It may be needed to assign some parametric values to some unknowns, and then applying the method of back substitution for solving the new system.
Q:Â Solve the following system of using equation Gaussian elimination method.Â
2x - 3y - z + 2w + 3v = 4
4x - 4y - z + 4w +11v = 4
2x - 5y - 2z + 2w - v = 9
2y + z +4v = -5
Ans:The augmented matrix isÂ
2 -3 -1 2 3 | 4
4 -4 -1 4 11 | 4
2 -5 -2 2 -1 | 9
0 2 1 0 4 | -5
Operating R2 changes R2 - 2R1, R3 - R1
2 -3 -1 2 3 | 4
0 2 1 0 5 | -4
0 -2 -1 0 -4 | 5
0 2 1 0 4 | -5
keeping the first and second row and try to have zeros in the second column
2 -3 -1 2 3 | 4
0 2 1 0 5 | -4
0 0 0 0 1 | -1
0 0 0 0 -1 | -1
Operating R4 changes R4 - R3
2 -3 -1 2 3 | 4
0 2 1 0 5 | -4
0 0 0 0 1 | 1
0 0 0 0 0 | 0
This is a triangular matrix. Its associated system isÂ
2x - 3y - z + 2w + 3v = 4
2y + z + 5v = -4
v = 1
Since we have 5 unknown variables and rank[A|B] is 3 thus two variables s and t are taken. Let z =s and w =t
y = -2 -1/2z - 5/2v = -9/2 - 1/2s
From 1st equation
x = 2 + 3/2y + 1/2z - w - 3/2v
Or x = -25/4 - 1/4s - t
x -25/4 - 1/4s - t
y -9/2 - 1/2s
z = s
w t
v 1
Q: Solve the following system using Gaussian elimination:Â
2x - 2y = -6
x - y + z = 1
3y - 2z = -5
Ans: The augmented matrix is
2 -2 0 | -6
1 -1 1 | 1
0 3 -2 | -5
Operating R1 changes 1/2R1
1 -1 0 | -3
1 -1 1 | 1
0 3 -2 | -5
Operating R2 changes R2 - R1
1 -1 0 | -3
0 0 1 | 4
0 3 -2 | -5
Operating R2 interchanges to R3
1 -1 0 | -3
0 3 -2 | -5
0 0 1 | 4
This is a triangular matrix. Its associated system:
x - y + = -3
3y - 2z = -5
z = 4
From 2nd equation
y = 1
from 3rd equation
x = -2
x -2
y = 1
z 4
GAUSS JORDAN METHOD
Gauss-Jordan Elimination is a method used to solve a linear system of equations. It works with the augmented matrix in order to solve the system of linear equation.
This method is also use for finding a matrix inverse . For using Gauss-Jordan Elimination, the given system of linear equations is represented as an augmented matrix.
Steps for solving gauss Jordan elimination method:
1. Representing the linear system of equations as a matrix in augmented matrix form
2. Using elementary row operations to derive a matrix in reduced echelon form
3. Writing the system of linear equations corresponding to the reduced echelon form.
Q: Solve the matrix by gauss-jordan method and back substitution:
x1 − 2x2 + x3 = 3
2x1 + x2 − x3 = 0
7x1 − 4x2 + 2x3 = 31
Ans: The augmented matrix is:
1 −2 1 | 3
2 1 −1 | 0
7 −4 2 | 31
Operating R2 changes R2 - 2R1
1 −2 1 | 3
0 5 −3 | −6
0 10 −5 | 10
Operating R2 changes 1/5R2
1 −2 1 | 3
0 1 −3/5 | −6/5
0 10 −5 | 10
Operating R3 changes R3 - 10R2
1 −2 1 | 3
0 1 −3/5 | −6/5
0 0 1 | 22
This can be solved in row-echelon form.
Its linear form is:
x1 - 2x2 + x3 = 3
x2 - 3/5x3 = -6/5
x3 = 22
putting the value of x3 in 2nd equation to get x2 value
x2 = −6/5 + 3(22)/5 = 60/5 = 1
Putting the value of x3 and x2 in 1st equation for getting x1 value.
x1 = 3 + 2(12) − 22 = 5
Therefore x1 = 5,
x2 = 12 and
x3 = 22
Q: solve the following system of linear equation by gauss Jordan | 677.169 | 1 |
Errata: This is a list of errors and additional comments not yet incorporated into the files on the web, mainly contributed by readers. S-V. 2000. 0387986413 Here are five excellent books that get into general relativity. Reprint of the Wadsworth Publishing Company, Belmont, California, 1971 edition. TI-82 binary to decimal program, promblems with Adding fractions, worksheets on simplifying square roots, prentice hall mathematics explorations & applications a pre algebra approach book answers, free mathematic worksheets.
What they do not usually know is what and who and how Algebra started. Actually, quite a bit smaller than most mathematics textbooks I have been carrying around these years. Abstract = A closed formula will be derived, for each positive integer n, for the number T(n) of triangles contained in the subset [0, n] X [0, n] of R^2 whose sides are contained in lines with slope 1, -1, 0, or infinity, passing through points with integer coordinates. The problems for each section do correlate closely to the course concepts.
Content distributed via the University of Minnesota's Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. Homework #3: Read section 4.6 of the lecture notes and solve exercises 4.5.7, 4.5.13, 4.6.2, 4.6.5, 4.6.6, 4.6.7, 4.6.8, 4.6.13. The first three operations are a "modified copy" and the last brings the changes together. Since many students find abstract material to be very difficult (for whatever psychological reasons), universities tend to cater to the 'needs' of the students by postponing the more abstract concepts till later.
You should not expect to be successful by only spending a few minutes on each problem. Addition and multiplication are viewed as general operations, and their precise definitions lead to structures such as groups, rings and fields. Rating is available when the video has been rented. Now, to prove that H ∩ K is a subgroup, by theorem 3.1, we show that when a, b ∈ H ∩ K then ab So, let a, b ∈ H ∩ K, which means a, b ∈ H and a, b ∈ K.
An absolutely superb book for the layman, and of interest to the professional accomplishes what many other books have merely attempted. Please note that no exam scores will be dropped. Now to show that the order of β cannot be 21, we can use theorem 5.3, which means that the lcm of the disjoint cycles that make up β must be 21. In the end, letter grades were assigned on the following basis: A, 80-100%; B, 65-79.9%; C, 55-64.9%; D, 45-54.9%; E, below 45%. Group theory questionnaire and study Kathleen Melhuish at Portland State University is doing a study on how students understand concepts of groups theory.
For the 3rd and 4th components, only addition/subtraction is demonstrated collectively for ease in comprehension. Moving from Arithmetic to Algebra will look something like this: Arithmetic: 3 + 4 = 3 + 4 in Algebra it would look like: x + y = y + x Examples: Algebra is an abstract concept in mathematics. The references will certainly touch on applications to relativity. – kleingordon Mar 27 '12 at 7:25 @aortizmena: "modern algebra" is discrete rings, finite group theory, geometric (discrete) group theory, and various algebras, and has limited contact with physics.
This happens in low enrollment courses, since just a few students passing or failing can affect the success rate by as much as 10%. Simplifying square root of 3 suare root 2 to the second power, simplify brackets negative polynomials, cost accounting sample test, adding/subtracting decimal activities, gallian contemporary abstract algebra homework, casio calculator how to use, what are the rules to factor a complex trinomial. I was learning algebra within minutes of downloading the software.
By making further identifications, we obtain the simplified structure diagram of a game, which is our main computational and theoretical tool in the paper. Statistics formulas calculate odds fraction, fourth root calculator, free fraction worksheet subtraction, online factoring polynomial, Grade 12 Tutorial Math website, prealgebra formulas practice. The large computer lab will be available 54 hours per week to allow students to work at their convenience. The book is out of print, but you can probably find it in your library.
By contrast, matrix multiplication is not generally commutative. These worked-out exercises provide techniques of problem solving for students. Algebra may be divided roughly into the following categories: Elementary algebra, in which the properties of operations on the real number system are recorded using symbols as "place holders" to denote constants and variables, and the rules governing mathematical expressions and equations involving these symbols are studied (note that this usually includes the subject matter of courses called intermediate algebra and college algebra), also called second year and third year algebra; Abstract algebra, sometimes also called modern algebra, in which algebraic structures such as groups, rings and fields are axiomatically defined and investigated; this includes, among other fields, The origins of algebra can be traced to the ancient Babylonians, who developed an advanced arithmetical system with which they were able to do calculations in an algebraic fashion.
The quadratic formula is: where a, b, and c are the same coefficients as in the quadratic equation. Founded by Leif Edling in 1994, after the initial breakup of Candlemass. Find representatives of equivalence classes. I am more likely to prefer questions beyond the level of calculus. And it is very important to be familiar with a number of specific examples of functions and to understand the concepts of differentiation and integration before going on to learn the rules which enable one to actually differentiate and integrate functions. (In fact, calculus teachers are often annoyed when students, inventing the axiomatic approach on their own, as it were, discover that it is not really necessary to understand the concepts in order to do the calculations.) But a typical undergraduate course in Modern Algebra starts out saying something like, "A group consists of a set of elements which can be multiplied in such as a way that the following three axioms are satisfied." (Four axioms if one includes closure, which was in fact the key axiom and to some extent was the only one in the original development of group theory, associativity and the existence of an identity element and inverses being taken as pretty much self-evident.) It is understandable that a student might ask in bewilderment, "But what are these elements? | 677.169 | 1 |
A Guided Tour of Mathematical Methods: For the Physical Sciences - used book
Mathematical methods are essential tools for all physical scientists. This novel textbook provides a comprehensive guided tour of the mathematical knowledge and techniques needed by students in this area. In contrast to more traditional textbooks, all the material is presented in the form of problems. Within these problems the basic mathematical theory and its physical applications are very well integrated. In this way the mathematical insights that the students acquire are driven by their physical insight. Topics that are covered include vector calculus (div, grad, curl, Laplacian), linear algebra, Fourier analysis, scale analysis, Green's functions, normal modes, tensor calculus and perturbation theory. This book can be used by undergraduates or by lower-level graduate students in the physical sciences. It can serve as a stand-alone text, or as a source of problems and examples to complement other textbooks. This guided tour of mathematical techniques is instructive, applied, and even fun. education and reference,mathematical physics,mathematics,physics,reference,science and math,science and math,textbooks Physics, Cambridge University Press | 677.169 | 1 |
Book 3 covers the most challenging KS3 material plus some extension topics that go beyond KS3, making it ideal for students who are confident in their Maths skills. If you'd prefer to use this Textbook on a PC, Mac or tablet, digital Online Editions are also available, either with answers included (9781782941699) or without answers (9781782941668).
World of Books was founded in 2005, recycling books sold to us through charities either directly or indirectly. GCSE Physical EducationGCSE Mathematics Higher Level: Complete Revision and Practice (Complete Revision & Practice). World of Books was founded in 2005, recycling books sold to us through charities either directly or indirectly. | 677.169 | 1 |
Showing 1 to 3 of 3
I'm not usually good at math but this class helped me improve my math skills a great deal. I went from barely passing the final with the curve to getting a 95 on the AP calc final!
Course highlights:
The note taking was the best. It was set up like a visual learners dream, we drew pictures to help better understand what was happening, we had notebook check that were counted as a grade so it was impossible not to stay on top of each subject.
Hours per week:
9-11 hours
Advice for students:
Please! Take notes! Draw pictures! Most importantly, put in the extra time to ask your teacher questions or find solutions online that better suit the way you learn. Study A LOT. do practice problem after practice problem until the hardest problem you've ever faced is like common knowledge to you. And definitely don't miss the opportunity to snag some extra credit! Stay consistent, have a study routine and you will get by just fine.
Course Term:Fall 2015
Professor:Mr. Dagahoy
Course Required?Yes
Course Tags:Math-heavyGreat Intro to the SubjectMany Small Assignments
Apr 25, 2016
| Would highly recommend.
Not too easy. Not too difficult.
Course Overview:
I think everyone should take higher level math courses in Highschool because for those who think you may not use the information this class will definitely teach you why we need this in our lives today.
Course highlights:
I learned a lot. The vast majority of formulas taught in this course are the basics of a student doing their taxes on a spreadsheet.
Hours per week:
3-5 hours
Advice for students:
How do you eat an elephant? One piece at a time and know that when the going gets rough take a seat back and breathe because you aren't the only one going through it.
Course Term:Spring 2015
Professor:Dagahoy
Feb 10, 2016
| Would recommend.
This class was tough.
Course Overview:
This is a good course, although rigorous with a great teacher who is willing to work with students and works hard to get them to understand the material. It will teach you what you need to know for calculus successfully.
Course highlights:
I learned a lot of trig and problem solving skills.
Hours per week:
9-11 hours
Advice for students:
Study the material daily, even if you think that you know it, ensure that you look over it in order to gain full understanding and commit the information to knowledge. | 677.169 | 1 |
The Math Department
Calculators
A calculator is REQUIRED for ALL MATH CLASSES. You need to bring your calculator to class every day. A Graphing Calculator is required for Algebra II, Algebra III, Precalculus, AP Statistics, and AP Calculus (TI-83 or 84 Graphing Calculator is recommended).
Math Supplies
Supplies needed for the first day of school: 2-inch three-ring-binder for math only. Pencils (no pen!) Calculator, see above for details | 677.169 | 1 |
This text is an elementary introduction to differential geometry. Although it was written for a graduate-level audience, the only requisite is a solid back ground in calculus, linear algebra, and basic point-set topology. The first chapter covers the fundamentals of differentiable manifolds that are the bread and butter of differential geometry. All... more...
This text is a modern in-depth study of the subject that includes all the material needed from linear algebra. It then goes on to investigate topics in differential geometry, such as manifolds in Euclidean space, curvature, and the generalization of the fundamental theorem of calculus known as Stokes' theorem. more...
Riemannian manifolds, particularly those with positive or nonnegative curvature, are constructed from only a handful by means of metric fibrations or deformations thereof. This text documents some of these constructions, many of which have only appeared in journal form. more... | 677.169 | 1 |
McGraw Hill Higher Education
Supplemental materials are not guaranteed for used textbooks or rentals (access codes, DVDs, workbooks)....
Show More caters for different learning styles and levels of understanding, encouraging students to take an active role in their learning of the subject.Features include: coverage of core mathematical principles found in economics and business courses, assuming little prior knowledge of the subject; student notes provided in boxes within each chapter as a useful quick reference tool, summarising key terms and providing tips to help understanding; worked examples, to consolidate learning and demonstrate the mathematical principles as applied in an economic and business context; and, Quick Problem boxes to test understanding and application of the mathematical principles taught in each chapter. Answers are provided at the end of the chapter so that students can check progress | 677.169 | 1 |
ideal review for the hundreds of thousands of college students who enroll in college algebra courses--now featuring free online videos!Schaum's Outline of College Algebra is a complete, concise guide to college algebra, for students in 4-yearMore...
The ideal review for the hundreds of thousands of college students who enroll in college algebra courses--now featuring free online videos!Schaum's Outline of College Algebra is a complete, concise guide to college algebra, for students in 4-year colleges, 2-year colleges, or high school taking courses variously titled College Algebra, Precalculus, Algebra I, Algebra II, Linear Algebra, Arithmetic and Topics in Algebra, or Functions and Graphs.FeaturesOutline format supplies a concise guide to the standard college course in college algebra1,940 fully worked problems of varying difficultyHundreds of additional practice problemsSupplements the major leading textbooks in college algebra
Murray Speigel, Ph.D., was Former Professor and Chairman of the Mathematics Department at Rensselaer Polytechnic Institute, Hartford Graduate Center.
McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide | 677.169 | 1 |
Overall, I was relatively pleased with my students' performance on this test. Much of the test required the students to demonstrate their master of the skills surrounding polynomials. I have decided to highlight several of the more interesting questions here. While simple, I found that many students still struggle a bit with portions of the area problem. My hope was to receive submissions like 1 or 2. Many students got the area model down but couldn't use it to answer questions. This doesn't surprise me as many are still struggling with our Common Core transition to heavily modeling. We will keep at it and my hope is that they are more confident by the end of the year. Sometimes repetition is the key.
I was very pleased with the answers I received on the identity problem. This was my students' first introduction to the concept of identities and overall they did really well. The one place some got stuck was separating identities from equations as seen in 1 and 2. I plan on continuing to use this vocabulary and asking students to point out identities through the remainder of the year and this should catch those students who are still struggling right now.
I always make two versions of a test and pass them out checkerboard style. I ask students to show work on tests or quizzes.
My students did a lot of these problems graphically during the unit and I will accept this as an acceptable method for finding the solutions to problems on this test. That means that some of these problems may be light on work. I do warn the students that this may be a detriment to them as I give partial credit when work is present. I also tell them that the best choice is to solve or simplify each problem algebraically and check their work graphically.
Resources (2)
Resources
I offer a variety of Extra Credit puzzleis puzzles
Both sites offer a number of free puzzles as well as purchasable books. Pixel Puzzles are a particular favorite. The Mathdoku are also great. They can increase a student's numeracy abilities if done regularly. | 677.169 | 1 |
Algebra - Part is an introductory course in Algebra. This lecture series contains 9 video lectures and corresponding assignments with solutions on Algebra. The main objective for this course is to develop skills in solving Linear and Quadratic equations. Each lecture is subdivided in to different topics so that you can self learn at your own pace. During the beginning of each lecture, you will find the downloadable files for assignments and its solutions. I encourage each student to complete the assignment after working through video lectures. During each lecture, I will give you few examples to practice. You can keep yourself ready to participate in that exercise by pausing the video and practicing that example and then resume back so that I can walk you through the example. At Math Foundation, we are interested in developing course materials which can clearly explain the fundamentals and built up the strong foundation in mathematics. If you are a Math student, an Engineer, Scientist or just a curious student and interested in learning about the concepts in Algebra; then this course is a perfect choice.
What are the requirements?
Get your pens, pencils and notebook ready. While watching lectures; you will also be asked to participate and solve problems. This will make things more interactive on Students end.
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Instructor Biography
I am enthusiast scientist who believes in science and appreciates its existence. I have 10 years of experience as an R&D Engineer. I have mentored few students and about 2 years of teaching experience. I like teaching from my experiences and mentoring others. I think that Science is not a magic. Science is a real truth! | 677.169 | 1 |
This is a combined print and digital product that includes the familiar Maths Quest 10+10A printed textbook (2014 Edition) and an activation code for learnON, Jacaranda's immersive new eBook, which has been updated for the 2017 Victorian Curriculum: Mathematics. The new eBook also includes additional teacher resources such as quarantined questions and answers, curriculum grids and teacher notes – no separate eGuide purchase is required.
KEY FEATURES
• Worked solutions available to students and teachers for every problem solving and reasoning question. • An enhanced emphasis on both problem solving & reasoning, creating greater understanding of both mathematical concepts and skills. • Assessment material incorporating both AusVELS Progression Points and the Australian Curriculum Achievement Standards. • Improvements to student engagement</ | 677.169 | 1 |
ALGEBRA. PURPOSE Algebra is a building block that we can use to learn more advanced branches of mathematics such as statistics and calculus.
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Presentation on theme: "ALGEBRA. PURPOSE Algebra is a building block that we can use to learn more advanced branches of mathematics such as statistics and calculus."— Presentation transcript:
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ALGEBRA
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PURPOSE Algebra is a building block that we can use to learn more advanced branches of mathematics such as statistics and calculus.
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ANALYSIS TOOL It allows us to understand and critically evaluate the mathematics done by others, such as reporters, political candidates, insurance salesmen, bank loan officers, etc.
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APPLICATIONS IN EVERY DAY LIFE General Life Circumstances We use algebra in general life without even realising it. E.g. If we are traveling we need to know the distance we are going to travel. Algebra helps us in decision making; for example, it allows us to compare mobile phone companies and to decide which company offers better value for money. Understanding algebra helps us with data entry, understanding interest rates when we are investing, writing assignments, etc.
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Science and Careers Algebra is a prerequisite for advanced training in science fields such as chemistry, physics and mathematics. It is a key to opportunities which allows us to understand letters and symbols. It allows us to chose whether to take a detour in our careers or not.
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ALGEBRAIC NOTATION
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The most common notations and symbols used in algebra are the following:
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Equation An equation looks like this: x + 3 = 5; The only difference between an equation and an expression is the equal sign (=)
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Formula A formula is a special equation; it shows the relationship between two variables. e.g. V= hwl Where V is the volume h is the height w is the width l is the length
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NB x + 3 = 5 is not a formula, it has only one variable x.
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Identity Identity is the relationship which is true. This means that whatever the number value may be, the answer stays the same. e.g. algebraically, this occurs if an equation is satisfied for all values of the involved variables.
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Consider b) -3(7z – 4y ) Solution: The number -3 will multiply everything inside the bracket. NB When a negative number multiplies a negative number a positive result is obtained and when a negative number and a positive number multiply a negative result is obtained
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To add or subtract algebraic fractions Do the following: 1. Factorise denominators ( if necessary) 2. Find the Lowest Common Factors of the denominators 3. Express each fraction in terms of this Lowest Common Factor and simplify.
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Use index laws, including fraction, zero and negative powers and powers raised to another power.
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LINEAR EQUATIONS
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A linear equation is an algebraic equation in which term is either a constant or a product of a constant and a single variable ( the first power) A linear equation can have one or more variables
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NB So in dealing with linear fractions, the following steps need to be followed. 1. Remove the denominator by multiplying every term in the equation by the Common Factor 2. Rearrange the equation 3. Put like terms to the same side 4. Divide both sides by the coefficient of x
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Word problem involving a simultaneous equation Consider d) The combined cost of a television and a DVD player is £ 1,460. The television costs £ 330 more than the DVD player (i) Use two equations in x and y to represent the situation (ii) Hence, find the cost of the television and the cost of the DVD player
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Solution: Let the cost of the television be x and the cost of the DVD player be y. (i) Thus x + y = 1460 (1) x = y ( since the TV costs £ 330 more than the DVD player, if we add £330 to the DVD, they become equal ) | 677.169 | 1 |
Trigonometry by Stewart, James, Redlin, Lothar, Watson,
We're not just talking about mere measurements — though elements like that are integral to architecture. If you were doing a computation that had 1-cos(θ) in it, your computation might be ruined if your cosine table didn't have enough significant figures. Binomial expansion calculator, free test papers for year 9 on percentages and ratio, algebra riddle two brothers absolute value, Algebra formula. In conclusion he exhorts the graduates to cultivate and apply logical, mathematical and quantitative thinking even if they do not become research mathematicians.
Pages: 0
Publisher: Cengage,2012
ISBN: B00E2RN3DS
A Treatise of Trigonometry Plane and Spherical Theoretical and Practical: As Likewise a Treatise of Stereographick and Orthographick Projection of the ... Requisites May Be Found Without Calculation
IIT JEE Math is not very tough but students fail to excel in it as their basics are not very clear. Mathematics is a creation of human mind that builds up the reasoning capability in humans. It is this branch which explains the logic behind the concepts The food of the Elevation and Depression 2: Mathematics is your food. Cube root to fraction, adding variables with exponents, how to change decimals to fractions on ti 89, free ebooks of math for primary student, free 7th grade math worksheet printouts. 6th grade chapter 5 review for fractions, how do I solve for variables withe a caculator, diference in solving equations by graph,substitution and by elimination, Different Math Trivia, simplifying square root of 50 x to the 3rd, adding decimal piunts worksheets Standard Field Tables and Trigonometric Formulas. Using s = rθ, an object of width s metres observed to subtend m UK or NATO mils is at a range of r = 1000(s/m) metres Pass Your Matric Maths Easily: Algebra (Pass Your ..... Series). The sine of a middle part is the product of the cosines of the opposite parts, or the product of the tangents of the adjacent parts. Check this rule with the identities in the preceding paragraph Trigonometry by Stewart, James, Redlin, Lothar, Watson, Saleem. (Cengage Learning,2012) [Paperback] 2ND EDITION online. Driven by the demands of navigation and the growing need for accurate maps of large areas, trigonometry grew to be a major branch of mathematics.[9]Bartholomaeus Pitiscus was the first to use the word, publishing his Trigonometria in 1595.[10] Gemma Frisius described for the first time the method of triangulationstill used today in surveying Trigonometry for college students. Irrational fear of the theorem of Pythagoras is inevitable. Even the most basic of long division is portrayed as mind-bogglingly difficult, especially for parents helping their grade-schoolers do homework. Usually when trying to portray math in this light, writers (particularly in visual media like film) will show a piece of paper/whiteboard/blackboard full of abominably complex equations; use of integral signs, Gratuitous Greek letters (particularly pi and sigma), daemonic occultist geometries, the accursed variables 'x' and 'y' and suchforth are prevalent Algebra 2 and Trigonometry, Teacher Edition.
Menelaus greatly advanced the field of spherical trigonometry. "By the second century A. D. trigonometry had reached its final form before Islamic developments in Book I of the Almagest" (Neugebauer, p. 772). Algebra, Trigonometry, & Mathematica (AT&M) is interactive courseware that helps students learn precalculus by doing mathematics instead of reading about it Plane Trigonometry Part 2 Edition 1 (5514B). On this page I present some simple yet challenging Trigonometry problems. Its not calculus, nor is it rocket science, just simple right-angle trig. All you will need is a $10.00 calculator that does trig functions. (But, if you are reading this, you probably already have a computer!) I'll post the names of the first few people who correctly answer each question Algebra and Trigonometry, 4th Edition, Instructor's Edition. Even Minamo (generally the more competent of the two) is shown to be less than proficient in mathematics. InuYasha: In one episode, Kagome actually had a nightmare about geometry download Trigonometry by Stewart, James, Redlin, Lothar, Watson, Saleem. (Cengage Learning,2012) [Paperback] 2ND EDITION pdf. The more you practice more the prizes! ★ Track your child's progress: And last but not least, you can also configure the app to send you reports by email to monitor your child's activity Thesaurium mathematicae; Containing variety of useful practices in arithmetick, geometry, trigonometry, astronomy, geography, navigation and ... and log-tangents. Illustrated with sever.
ALgebra & Trigonometry; a Functions Approach (Fourth edition)
IF Manual of logarithms: treated in connection with arithmetic, algebra, plane trigonometry, and mensuration, for the use of students preparing for army and other examinations. The direction you must follow the great circle (also known as bearing) can be computed by the great_circle_direction() function: The result of great_circle_direction is in radians, zero indicating straight north, pi or -pi straight south, pi/2 straight west, and -pi/2 straight east Text Specific DVD's for Students for McKeauge/Turner's Trigonometty, 7th. Chalk Dust ( ) and Math-U-See ( ) Pre-Calculus fall into this category. It provides demonstrations and grades problems. The disadvantage of software is that you have to sit in front of the computer: not good for more than one kid at a time. Advanced Math software is available from a number of publishers, including Grasp Math ( ) Trigonometry and Its Applications. For instance, in Exercise 8 on p.147 it asks the reader to prove that (cos a)^2 <= cos(2a). Of course, that inequality should be reversed. And there are many more annoying little errors like that, which makes me believe that no one actually proofread the book. I usually buy books that have good feedback because it has served me well in the past, but unfortunately this isn't the case with this book College Algebra and Trigonometry Fourth Edition - Precalculus Fourth Edition - Instructor's Solutions Manual. Exponential and logarithmic functions: Often involving the natural base, e, these functions are built on terms with exponents and their inverse, logarithms, and describe phenomena such as population growth and the magnitude of an earthquake on the Richter scale. Complex numbers: Seemingly logic-defying, complex numbers are based on the square root of –1, designated by the symbol i Introduction to trigonometry (Modules in technical mathematics).
Trigonometry improv'd, and projection of the sphere, made easy ; With the application of the whole to astronomy, dialling, and geography
Algebra and Trigonometry Structure and Method (Book 2)
Algebra and Trigonometry for Foundations for Scientific Calculus and for Precalculus - University of Cincinnati
That way, when you approach a problem, you will have the tools you need in order to solve it. Otherwise, you may get confused, and your work can quickly digress into a jumbled mess. You can use memory tricks such as SOH CAH TOA to help you. SOH CAH TOA is a memory aid for the trig ratios. SOH stands for Sine = Opposite over Hypotenuse, COH means Cosine = Adjacent over Hypotenuse and TOA helps you remember that Tangent = Opposite over Adjacent. *Take your time: As you progress into more advanced studies of mathematics, the problems become longer and more involved Love Letter to Trigonometric Princess Ariel Lin: Book 4. It is difficult to tell what additions and modifications Ptolemy made to already existing works. Toomer calls the Almagest a masterpiece of clarity and method, superior to any ancient scientific textbook and with few peers from any period Mathematics Made Simple. For more applications and examples of trigonometry in Interactive Mathematics, check out the many Uses of Trigonometry. In this chapter we start by explaining the basic trigonometric functions using degrees (°), and in the later part of the chapter we will learn about radians and how they are used in trigonometry. Graphs of Trigonometric Functions, which are really helpful for understanding what is going on in trigonometry online. Some institutions offer pre-calculus instead of college algebra. In this case a combination of Math 141 and Math 142 should easily suffice as a substitute for any pre-calculus. Students planning on taking a calculus sequence should take Math 141 College Algebra next if they haven't done so already By Richard N. Aufmann - College Trigonometry (6th Revised edition) (2.5.2007). See problem #2 from the practice problems Given an angle that is a multiple of 30 or 45 degrees, be able to find the sin, cos, tan, cot, sec, and/or csc of that angle measure Tables Logarithmic and Trigonometric Calculated to Five Places of Decimals. BEWARE: some texts define theta and phi the other way round, some texts define the phi to start from the horizontal plane, some texts use r in place of rho. Cylindrical coordinates, (rho, theta, z), are three-dimensional coordinates which define a point in three-dimensional space Elements of Plane and Spherical Trigonometry: With Its Applications to the Principles of Navigation and Nautical Astronomy. with the Logarithmic and Trigonometrical Tables. 3 MB Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument Addison-Wesley Algebra and Trigonometry, Making Practice Fun. When you change the subscript number on a logarithm, you are changing the base. This example is asking the following: 2 to what power equals 8? Note: If no subscript (base) is given, the base is assumed to be 10. [/frame]Right Triangles – Enter the information you have within the brackets. Be sure to use the correct order, which is as follows: [angle, 90°, angle, leg, leg, hypotenuse] Seven place logarithmic tables of numbers and trigonometrical functions. Every year during early kind of weird having border with Canada yet right in. I DONT KNOW what to lead to the a bad rap is. That itll probably be news about Jon Benet nationwide who are working Spherical Trigonometry: For Colleges and Secondary Schools - Primary Source Edition. Entries were judged on the basis of innovative and effective use of the materials Algebra and Trigonometry A Custom Edition for Texas Southern University. | 677.169 | 1 |
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Professor Luttrel was very helpful with everything. Attending her office hours helped me to understand the course information and she really got to know who her students were even outside of the classroom.
Course highlights:
I learned many things in calculus and I also learned to speak up and use various programs to help me with math.
Hours per week:
3-5 hours
Advice for students:
I would definitely attend her office hours. They became very helpful to me and actually helped me at the end of the semester with my participation grade.
Course Term:Fall 2016
Professor:Kristi Luttrel
Course Required?Yes
Course Tags:Math-heavyGreat Intro to the SubjectGo to Office Hours
May 24, 2016
| No strong feelings either way.
Not too easy. Not too difficult.
Course Overview:
I would recommend this course to any student that was willing to put in work and finds themselves often curious of the "whys" of math. The course often times appears to be "all over the place" and scattered because in all honesty, calculus is a higher level math. With that in mind, it is safe to say that there is a lot of material to cover in this class. The professor, although sometimes seeming to go off tangents genuinely knows what he is talking about and is very insightful will his creative ways of teaching. If someone is easy with keep up with a teacher, this course is recommended because of the remarkable thinking of the professor, preplanned or improvising. A thoughtful student should take this class.
Course highlights:
One of the biggest things I learned outside of Calculus 1 mathematics was how truly impressive and remarkable it is to have fast and vast knowledge about many subjects. I learned how Calculus could be used to make connections in science though graph readings of slopes and integrals, as well as how to manipulate equations in order to facilitate a reading of data. Common use of limits were also understood and a clear idea of the concept was obtained.
Hours per week:
3-5 hours
Advice for students:
For this course I would recommend being thorough in your answer and making minimum mistakes. His precise answers are not to degrade your grade but rather to teach the importance of precision, especially if you are considering a science major. His tests and quizes are all derived from practice problems assigned and he is very straightforward. Always fight for any extra points you feel you deserve on a test. He is willing to listen with reason and often will give back points if you explain your thought process. | 677.169 | 1 |
7th Grade Math - Probability
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16.27 MB | 20 pages
PRODUCT DESCRIPTION
the student will be able to represent sample spaces for simple and compound events using lists and tree diagrams;
: select and use different simulations to represent simple and compound events with and without technology;
: make predictions and determine solutions using experimental data for simple and compound events;
: make predictions and determine solutions using theoretical probability for simple and compound events;
: find the probabilities of a simple event and its complement and describe the relationship between the two;
: solve problems using qualitative and quantitative predictions and comparisons from simple experiments; and
: determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces | 677.169 | 1 |
text introduces to undergraduates the more abstract concepts of advanced calculus, smoothing the transition from standard calculus to the more rigorous approach of proof writing and a deeper understanding of mathematical analysis.
Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in an earlier introductory volume. The presentation is largely focused on the foundations of measure and integration theory.
All but the most straightforward proofs are worked out in detail before being presented formally in this book. Thus most of the ideas are expressed in two different ways: the first encourages and develops the intuition and the second gives a feeling for what constitutes a proof. In this way, intuition and rigour appear as partners rather than competitors. | 677.169 | 1 |
Teaching Textbooks: A Review
When the doors closed behind us in that cold, marble courtroom, our lives would forever be changed. We had shared holidays and summers together with these nieces for many years, but to bring twin teenage girls home to a house that had always been full of swords, action figures, smelly socks, and pellet guns would prove to be a life-altering adventure. One of the first issues at hand was making sure they had all the comforts of home with a room to sleep in and new clothes to wear. The second issue was to determine where they would attend school. Should we keep them home with the boys or minimize the change in their lives by allowing them to attend a public or even a private school in the area? The answer was clearly written in their public school transcripts; we would home educate. After all, schooling is more than just learning the basics of survival; it is also about character and morals, in addition to a firm foundational mix of grammar and writing, history, reading, and math.
I knew how to teach history, literature, and grammar. For years the boys and I had smelled the gunpowder at Gettysburg, built pyramids with the Egyptians, and gone swimming with Tom Sawyer through our minds' eyes, but upper-level math was definitely not my strength. I turned to the only places I knew I would find honest answers: my friends, fellow home school moms, and veteran teachers. I explained that I was looking for something that would be a good transition from a public classroom to our home school. I also needed something that would be easy to follow and would have clear explanations of each answer, because I felt certain it would be a challenge for me to teach. I was also concerned about the order in which the girls should take the required math subjects and at what level they should begin, as I had no real knowledge of their ability levels. The whole process felt overwhelming. A very wise, fellow support group leader, Kay Tucker, led me to Teaching Textbooks.
We began in the fall with Teaching Textbooks: Algebra 1, and we found the material very clear and easy to understand. The lessons are presented in a simple fashion, each lesson building on the last. Visual learners will benefit from the animated lecture and example problems. Parents will love the automated grading system. Stuck on a problem? "Do not fear; the answer disc is here!" Many times, my nieces and I would look intently at an algebra problem and wonder, "Hmmm, how on earth did they get that answer?" Fortunately, each Teaching Textbooks course comes with an answer disc, with each problem worked step-by-step for ease of understanding. We easily navigated Algebra 1 and Algebra 2, and we are now well on our way to completing geometry.
Teaching Textbooks begins at the third-grade level and provides outstanding instruction all the way through pre-calculus. For those who are not sure at what level to begin their instruction, Teaching Textbooks placement tests are designed to assist you in this decision. The material is concise and well planned. Following each lesson explanation, you will find a set of example problems. Each lesson consists of a lecture, example problems, and lesson assignment. Each chapter ends with a chapter test. The student book is also complete with a written description of the lecture, so reviewing key concepts is a snap. Definitions, theorems, and postulates are provided within the student book for easy reference.
Our family has certainly changed over the past three years. Our oldest son will begin Algebra 1 this fall. Rather than dreading high school mathematics, I am now actually looking forward to watching him feel a sense of pride as he completes an assignment, or as he finds the value of "x" with ease. What once was an unsure navigation of mathematical teaching waters has been transformed into a blessing beyond measure.
Our family is continuing to enjoy the freedoms that home education provides for us. We are growing, experiencing a host of opportunities, and learning together . . . thanks in part? to Teaching Textbooks!
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About Kay Orr
Kay Orr, THSC Event Planner, is a home school mother and wife to Chris. With a love for supporting families in their home school journey, she serves on the Events Team as the Speaker Liaison and Event Planner and served as THSC's Leader Liaison for four years. | 677.169 | 1 |
How I Teach Functions (Finding a Function Rule)
NOTEBOOK (SMARTboard) File
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0.35 MB | 32 pages
PRODUCT DESCRIPTION
This is a 32 page Smartboard file covering how to determine a function rule. The lesson starts with a definition for a function rule. Next it is shown that function rules can be found in a table and also in a function machine. The lesson shows how to first expect the function rule to be basic and if that doesn't pan out then go to the more complicated type. There is plenty of practice looking at a table and trying to determine a function rule. All practice pages include answers | 677.169 | 1 |
Equation Stations
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5.74 MB | 5 pages
PRODUCT DESCRIPTION
In this "Equation Stations" you get 4 equation stations:
1. variables on both sides
2. distributive property
3. combine like terms
4. multi-step equations.
Each station contains 3 equations. Two types of answer keys are provided; an answer key with problems worked out and an answer key with problems worked out with the steps written out for the | 677.169 | 1 |
Algebra II For Dummies
Need to expand your statistics knowledge and move on toStatistics II? This friendly, hands–on guide gives you the skillsyou need to take on multiple regression, analysis of variance(ANOVA), Chi–square tests, nonparametric procedures, and other keytopics.
Basic Math and Pre-Algebra Workbook For Dummies, 2nd Edition helps take the guesswork out of solving math equations and will have you unraveling the mystery of FOIL in no time. Whether you need to brush up on the basics of addition, subtraction, multiplication, and division or you're ready to tackle algebraic expressions and equations, this handy workbook will demystify math so you can get back to having fun in math class. | 677.169 | 1 |
EVERYDAY MATHEMATICS The University of Chicago School Mathematics Project STUDENT REFERENCE BOOK hardcover Brand New!!$4.00 USPS Priority Mail Shipping Please visit my store for other children books.Please feel free to contact me if you have any questions regarding to this item.
Principles of Mathematics Book 1 by Katherine Loop A junior high mathematical study that includes real-life examples, historical tidbits, and practical how-to-apply math knowledge!Lost in the mechanics of math? Unsure why you have to learn different math concepts or how to prepare for high school math? Wanting math to be more interesting? Wishing you could finish your math lesson awed at God's greatness? Experience the difference truly understanding the principles of mathematics can make![Gen | 677.169 | 1 |
Learn about collecting and analyzing data with Life of Fred Statistics! In this unit, you will learn Descriptive Statistics (averages, measures of dispersion, types of distributions), Probability, Bayes' Theorem, From a Given a Population Determine What Samples Will Look Like (7 tests), Techniques of Sampling, From a Given Sample Determine What the Population Was (14 tests), Determine Whether Two Given Samples Came From the Same Population (15 tests), Working With Three or More Samples (10 tests), Emergency Statistics Guide, Regression Equations, Field Guide, 16 Tables.
Linear Algebra (Retail $52): Fred goes on a picnic with his two best friends. This is a college-level (post-calculus) course in Linear Algebra which includes all the standard topics:
Life of Fred: Five Days of Upper Division Math: Set Theory, Modern Algebra, Abstract Arithmetic, Topology (Retail $19): Rather than a course of study, this book is a sampler of advanced math for students who love math and Fred and want to preview courses they may take later.
Upper division (college junior/senior) pure math is much different than calculus. No "word problems," no formulas to memorize, no concrete applications—just puzzles to solve. Instead of learning procedures, students create definitions, theorems, and proofs.
These are the first five days of Fred's teaching set theory, modern algebra, abstract arithmetic, and topology. Each of the 139 assignments/puzzles/questions that he gives his students calls for creativity rather than doing drill work. Some of these can be done in a minute. Some will take several hours to complete. They are all meant to be enjoyed.
The first day of set theory: cardinality of a set, set builder notation, naive set theory, modus ponens, seven possible reasons to give in a math proof, the high school geometry postulates are inconsistent, the proof that every triangle is isosceles, normal sets.
The first day of modern algebra: definition of a math theory, six properties of equality, formal definition of a binary operation, formal definition of a function, definition of a group, right cancellation law, left inverses, commutative law.
The first day of abstract arithmetic: circular definitions, unary operations, the successor function, natural numbers, the five Peano postulates, mathematical induction.
The first day of topology: topology is all about friendship, listed and counting subsets, open sets, the discrete topology, the three axioms of a topology, models for a topology, open intervals.
By the fifth day Fred will have covered the Schröder-Bernstein theorem (set theory), proved Lagrange's theorem for subgroups of any group (modern algebra), defined the real numbers based only on the concept of "adding one" (abstract arithmetic), and explored continuous images of compact sets (topology).
Ask The Seller
?
Is this the expanded version?
Asked by a Homeschooler on August 1st, 2016 (Edited)
Yes, the City answers are included in the books. No need to get separate answer keys!
Answered by Life of Fred - Dr. Stanley F. Schmidt on August 4th, 2016 (Edited)
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I love this book. I am reviewing statistics for various reasons and the is just one of the best books I have ever read. I love math/statistics, so it's a good read for me, but these books just make math learning so easy.
Firstname L - Member Since November 2013
College Math made easy
Oct 12, 2016
I bought this set for my son almost 2 years ago. He is currently going to Boise State and majoring in math. Life of Fred has made it so that all of his college level math classes are basically review. He is now taking them to earn the official credit, but says they are very easy because of Life of Fred. He would have been able to skip several math classes, but they are required for his major (Applied Math, thanks to the love of math that came from Life of Fred--- Life of Fred has been his primary math program since Fractions). Thanks for another GREAT set of books!!!!!
Janet C - Member Since November 2013
Fred Does Not Disappoint!
Apr 11, 2016
My children enjoyed the Life of Fred series from early grade school through high school. I bought this upper level book for my daughter who is studying for her Bachelor's Degree in Mathematics. She loves it! Just like the earlier Life of Fred series, she can't put the book down. Way to go Fred!
Joan G - Parent - Member Since March 2016
Calculus made practical and applicable to life
Mar 03, 2016
We have enjoyed the elementary and intermediate math series by Life of Fred, and though we don't have any children at the calculus age, we decided to buy it and see what it was like. I would have loved to learn Calculus this way! I struggled with Calculus because it felt so theoretical, but Life of Fred helps make practical application of very difficult material. I am looking forward to using it when our children are ready. Meanwhile, mom and dad are enjoying the refresher with, perhaps, more learning than the first time around | 677.169 | 1 |
Advanced Graphs - Complete Unit of Work
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4.43 MB | 37 pages
PRODUCT DESCRIPTION
In this unit, students will develop their skills for working with graphs. They will start by drawing and interpreting graphs of reciprocal and exponential functions. They will then go on to look at transforming graphs, using translations, reflections and stretches, before working out areas under graphs and finding the gradients of non-linear graphs at particular points6 Lesson Plans: Full ready-to-use lesson plans on the following topics | 677.169 | 1 |
today's session working on real world applications of derivatives. The majority of the session was spent using derivatives in optimization problems to find the minimum or maximum in a situation. By the end of our work on this topic, the student was able to identify the equations we needed to model to find the solution and how to manipulate them correctly. We briefly touched on finding rates of change in real world situations and we will continue to work on that subject tomorrow morning before we move on to integrals."
"The primary focus of this study session was on algebra and trigonometry review, and the definition of the derivative. The biggest challenges were working on the algebraic manipulation of functions when applying the definition of the derivative and moving between trig identities to solve some of the problems. A few websites were provided during the session to act as study aids when going through the material. The course is just beginning, so there were no scores or grades to note. The student was very engaged, asking questions, and comparing his work to explanations."
"First, we went over the assigned problems I gave the student on our last session and we continued to go over the Maclaurin series. We then worked on integration and different integration techniques. We covered u-substitution, polynomial integration as well as integration of trigonometric functions. I gave him extra practice problems to do before our next session. We will continue working on integration in our next session and I will give him a short assessment to measure his familiarity with the material. He was again receptive to learning and engaged during our session."
"We looked at derivatives in real life, using functions that model real world quantities (e.g. position, GDP) and what their derivatives measure (velocity, GDP growth rate). Next we talked about second derivatives, which can be thought of as a function's acceleration. We sketched graphs of functions, first derivatives, and second derivatives, and compared how they line up. I think you're grasping the concept of second derivatives, but remember to review notes and study further to really lock it in. We also talked quickly about critical or stationary points. These correspond to places on the graph where the tangent is horizontal (derivative = 0). They can be easily found by setting a derivative function equal to zero and solving for x.
For homework, see the email I sent you with practice problems. Be sure to get lots of practice solving equations to find critical points, because we will be building upon this skill in the next session."
"Our last session introduced sign charts, critical points, extrema, etc. Our session today covered hypercritical points, points of inflection, etc. It is a logical extension of our last session, and it isn't any more difficult. As was the case with our last session, the student understands the concept, but can have trouble with the algebra. The problems we do take many steps and require the knowledge of multiple different branches of math, and recalling all of them for each problem is tricky. He is still doing well, but will need to find time to practice."
"The student and I worked on a review sheet of algebra II and precalculus to prepare her when she begins calculus in the coming weeks. We covered things like polynomial division, logarithms, working with radicals and other algebra and precalculus related material." | 677.169 | 1 |
Algebra: Sets, Symbols, and the Language of Thought (History of Mathematics)
Description
Looking closely at algebra, its historical development, and its many useful applications, Algebra examines in detail the question of why this type of math is so important that it arose in different cultures at different times. The book also discusses the relationship between algebra and geometry, shows the progress of thought throughout the centuries, and offers biographical data on the key figures. Concise and comprehensive text accompanied by many illustrations presents the ideas and historical development of algebra, showcasing the relevance and evolution of this branch of mathematics.
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About Author
John Tabak, Ph.D., performed graduate work at Suny at Stony Brook and received a degree in mathematics from Rensselaer Polytechnic Institute. He is the author of A Look at Earth and A Look at Neptune, two astronomy titles for middle school readers. He is presently writing a history of American sign language. | 677.169 | 1 |
mathematics : a brief course
"The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society."--Jacket.Read more...
Abstract:
This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics.Read more...
Reviews
Editorial reviews
Publisher Synopsis
"The second edition...is a jewel. It is notable for what it includes as well as what it does not. But most importantly, it is a jewel for its presentation." (MAA Reviews, January 15, 2007) "...a remarkably well-compiled format...recommended as a textbook for an undergraduate course; in addition...can appeal to readers interested in the history of science and to a general audience." (E-STREAMS, November 2006) "An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource...essential." (CHOICE, November 2005)Read more... | 677.169 | 1 |
Find a Inverness, IL...There is no universal agreement as to what constitutes discrete math. Discrete math is defined less by what topics are included than by what is excluded. Excluded are notions of continuity upon which calculus is built. | 677.169 | 1 |
Define mathematics and explain
the role of intuition and logic in mathematical thinking.
Explain why mathematics should be
taught as a compulsory subject at school stage.
OR
Describe the basic principles
underlying the development of a method of teaching
mathematics. Compare and contrast
the basic characteristics of analytico-synthetic and discovery methods of
teaching mathematics.
2. Answer the following question
in about 600 words.
Discuss detailed strategy of
teaching, any one of the following topics highlighting instructional objectives,
learning experiences and approaches to evaluation :
OR
Application of Percentage in
daily life. Arithmetic mean and standard deviation of given scores.
3. Write short notes on any fiveof the following in about 120 words each :
(a)Factors
affecting mathematics curriculum.
(b) Importance of assignment in teaching mathematics.
(c)Characteristics
of Real Numbers.
(d)Opening
and Operating a Bank Account.
(e)Factoring
a quadratic polynomial.
(f)Comparison
of algebraic laws of sets and real numbers.
(g)Teaching
the area of a triangle.
(h)Explaining
the meanings of angles of elevation and depression.
(i)Meaning
and application of Pythagoras Theorem.
4. Answer the following question in about 600words :
Discuss
the application of computers in solving mathematical problems and explain the
sequential steps involved in it. Apply an algorithm to find out the roots of
the quadratic equation ax2 +bx +c =0 (a≠0). | 677.169 | 1 |
Intermediate Algebra
Categories
Keywords
Additional Images
Product Details
Author Name:
Martin-Gay, K. Elayn
Binding:
Hardcover
Book Condition:
Very Good
Edition 4
Publisher Lebanon, Indiana, U.S.A. Prentice Hall 2005
ISBN Number
0131444417 / 9780131444416
Seller ID
034825
Elayn Martin-Gay's success as a developmental math author starts with a strong focus on mastering the basics through well-written explanations, innovative pedagogy and a meaningful, integrated program of learning resources. The revisions to this edition provide new pedagogy and resources to build reader confidence and help readers develop basic skills and understand concepts. New and revised topic coverage includes exponential and logarithmic functions, conic sections, factoring trinomials by grouping, and slope as a rate of change. In addition, Martin-Gay's 4-step problem solving process-Understand, Translate, Solve and Interpret-is integrated throughout. Also includes new features such as Study Skills Reminders, "Integrated Reviews," and "Concept Checks." For readers interested in learning or revisiting essential skills in intermediate algebra through the use of lively and up-to-date applications. | 677.169 | 1 |
Numerical Analysis and Graphic Visualization with MATLAB
4.11 - 1251 ratings - Source
PREFACE WHAT THIS BOOK DESCRIBES This book is intended to introduce numerical analysis and graphic visualization using MATLAB to college students majoring in engineering and science.It can also be a handbook of MATLAB applications for professional engi-neers and scientists. The goal is not to teach the mathematics of numericalanalysis, but rather to teach the knowledge and skills of solving equationsand presenting them graphically so that readers can easily handle equationsand results of the computations. With its unique and fascinating capabilities, MATLAB has changed theconcept of programming for numerical and mathematical analyses. Therefore, MATLAB is a superb vehicle to achieve our goal. This book fullyimplements the mathematical and graphic tools in the most recent versionof MATLAB. The following four fundamental elements are integrated in this book: (1)programming in MATLAB, (2) mathematical basics of numerical analysis, (3) application of numerical methods to engineering, scientific, and mathematical problems, and (4) scientific graphics with MATLAB. The first two chapters are comprehensive tutorials of MATLAB commands and graphic tools, particularly for the beginner or entry-level collegestudent. Indeed, these two chapters have been most significantly enhancedin this edition compared to the first edition. In Chapter 1, understandingand developing programming skills on MATLAB are emphasized particularlybecause, unless the reader has knowledge and experience with another pro-gramming language, these are tough hurdles for the beginner to overcome.To acquire the knowledge and skills necessary to read the rest of the book, solving the problems at the end of each chapter is very important. Chapter 2 starts out with the elements of graphics on MATLAB, whichis easy to follow. Yet, toward the end of the chapter, three-dimensionalgraphics on the professional level are achieved. Not only is the programmingtechnique of plotting functions mentioned, but also skills of presenting mathematical and scientific material using graphics are developed throughout thechapter. The graphics knowledge acquired in this chapter are foundationsin learning and applying the numerical methods described in the remainderof the book. Again, practice on the computer is important. Some studentstry to memorize scripts without understanding why and how they work, but such an effort is utterly meaningless. More important is to play with afew new commands, understand how they work and how they may fail, andfinally become a master of the commands. Chapters 3 through 11 cover numerical methods and their implementations with MATLAB. All the numerical methods described are illustratedwith applications on MATLAB. Appendices describe special topics, including advanced three-dimensional graphics with colors, motion pictures, imageprocessing, and graphical user interface. Readers should feel free to use thescripts in this book in any way desired. However, the beginning studentsare advised not to u se these scripts blindly. The students should write theirown scripts. Using the lists of the scripts and function, readers can run most examples and figures on their own computers. The m-files of the scripts can bedownloaded as mentioned later. WHAT IS UNIQUE ABOUT MATLAB? MATLAB may be regarded as a programming language like Fortran or C, although describing it in a few words is difficult. Some of its outstandingfeatures for numerical analyses, however, are: Significantly simpler programming Continuity among integer, real, and complex values Extended range of numbers and their accuracy A comprehensive mathematical library Extensive graphic tools including graphic user interface functions Capability of linking with traditional programming languages Transportability of MATLAB programs An extraordinary feature of MATLAB is that there is no distinction amongreal, complex, and integer numbers. All numbers are in double precision. InMATLAB, all kinds of numbers are continuously connected, as they should be. It means that in MATLAB, any variable can take any type of numberwithout special declaration in programming. This makes programming fasterand more productive. In Fortran, a different subroutine is necessary for eachsingle, double, real or complex, or integer variable, while in MATLAB thereis no need to separate them. The mathematical library in MATLAB makes mathematical analyseseasy. Yet the user can develop additional mathematical routines significantlymore easily than in other programming languages because of the continuitybetween real and complex variables. Among numerous mathematical functions, linear algebra solvers play central roles. Indeed, the whole MATLABsystem is founded upon linear algebra solvers. IMPORTANCE OF GRAPHICS Graphic presentation of mathematical analysis helps the reader to under-stand mathematics and makes it enjoyable. Although this advantage hasbeen well known, presenting computed results with computer graphics wasnot without substantial extra effort in the past. With MATLAB, however, graphic presentations of mathematical material is possible with just a fewcommands. Scientific and even artistic graphic objects can be created on thescreen using mathematical expressions. It has been found that MATLABgraphics motivate and excite students to learn mathematical and numericalmethods that could otherwise be dull. MATLAB graphics are easy and great fun for readers. This book alsoillustrates image processing and production of motion pictures for scientific computing as well as for artistic or hobby material. WILL MATLAB ELIMINATE THE NEED FOR FORTRAN OR C? The answer is no. Fortran and C are still important for high-performancecomputing that requires a large memory or long computing time. The speedof MATLAB computation is significantly slower than that with Fortran orC because MATLAB is paying the high price for the nice features. Learn-ing Fortran or C, however, is not a prerequisite for understanding MATLAB. REFERENCE BOOKS THAT ARE HELPFUL TO LEARN MATLAB This book explains many MATLAB commands but is not intended to be acomplete guide to MATLAB. Readers interested in further information onMATLAB are advised to read User's Guide and Reference Guide. Also, youshould know that over 400 books for use with MATLAB, Simulink, Tool-boxes, and Blocksets have been written. See WEB SITE FOR READERS OF THIS BOOK A Web site for readers of this book has been opened at This Web site includes additional examples, hints, and color graphics thatcannot be printed in the book. If there are corrections to the text material, they will appear on this Web site. Links to other relevant sites are alsoprovided. HOW TO OBTAIN M-FILES PACKAGE The m-files package that includes all the scripts and functions developed inthe present book are available from the download site of the publisher, whichcan be accessed via the Web site in the foregoing paragraph. The packageincludes the following files: All m-files listed at the end of chapters. All scripts illustrated in the book (except short ones). Scripts to plot typical figures in the book. SOLUTION KEYS Solution keys for the problems for each chapter are available at the end ofthis book. Further help may also be available at the Web site for the readers. HOW TO OBTAIN MORE INFORMATION ABOUT MATLAB The best way to start collecting more information about MATLAB is to visitthe Web site of MATHWORKS at For other communication with MathWorks, their address is: The MathWorks, Inc., 3 Apple Hill Drive, Natick , MA 01760-2098, United StatesPhone: 508-647-7000, Fax: 508-647-7001. LIST OF REVIEWERS The first edition of this book was reviewed by: Professor T. Aldemir, Nuclear Engineering, The Ohio State University, Columbus, Ohio Professor M. Darwish, Mechanical Engineering Department, American University of Beirut, Beirut, Lebanon The MathWorks Inc., Natick, Massacusetts Professor J.K. Shultis, Nuclear Engineering, Kansas State University, Manhattan, Kansas Professor S.V. Sreenivasan, Department of Mechanical Engineering, University of Texas, Austin, Texas10.3.5 Fourth-Order Runge-Kutta Method Derivation of the fourth-order Runge-
Kutta method is similar to that of the ... There are several alternative choices for
the numerical integration scheme to be used in Eq.( 10.3.2). ... The first version is
based on Simpsona#39;s 1/3 rule and is written as fa = hf(yn, tn) fa = hf(yn + fa/2, tn+i/2)
fa = hf(yn + fa/2, tn+l/2) ... We then find that Eq.( 10.3.20) agrees with the Taylor
expansion of the exact solution to the third-order term if 9 = ~ 1. using the fourth-
orderanbsp;...
Title
:
Numerical Analysis and Graphic Visualization with MATLAB
Author
:
Shoichiro Nakamura
Publisher
:
Prentice Hall - 2002
ISBN-13
:
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This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves. The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization techniques. The second part of the book discusses traveling waves, leading to a description of solitary waves and soliton solutions of the Klein-Gordon and Korteweg-deVries equations. The wave equation is derived to model the small vibrations of a taut string, and solutions are constructed via d'Alembert's formula and Fourier series. The last part of the book discusses waves arising from conservation laws. After deriving and discussing the scalar conservation law, its solution is described using the method of characteristics, leading to the formation of shock and rarefaction waves. Applications of these concepts are then given for models of traffic flow. | 677.169 | 1 |
This is one in a series of SMSG books on various topics directly related to high school mathematics courses, designed for the benefit of those mathematics teachers who wish to improve their teaching through independent reading. Particular attention is paid to topics which play an important part in the courses developed by SMSG. Chapter topics include sets, relations, orderings, functions, axiomatization of functions, and axiomatization of mathematical games. (MP) | 677.169 | 1 |
Lower Columbia College (LCC) offers students who need developmental mathematics instruction a variety of courses and instructional formats. In 1977, the developmental mathematics curriculum consisted of two courses: Review Mathematics, offered only through the Math Lab with both desirable and undesirable effects; and Elementary Algebra, offered both in the lab and classroom. High attrition rates in Review Math necessitated several changes. First, an extensive placement testing program was initiated to determine students' mathematical level, goals, and math anxiety level. Next, Math 30, a course beginning at the first-grade arithmetic level, was proposed. Though the course was developed for students with little or no elementary mathematics training, students who have forgotten many math concepts and some foreign students are finding the course useful. The review course was then redesigned to include classroom and lab instruction, self-paced learning, competency-based instruction, and variable credit. Additionally, a one-credit Math Anxiety Workshop was developed; a new course, Introduction to Algebraic Concepts, was designed to ease the transition between the review course and Elementary Algebra; and a third method of instruction for Elementary Algebra was offered, which extends the course to two quarters. LCC's developmental math program attempts to guide students through an initial period of dependence into the regular classroom or lab, using among other techniques a decreasing number of practice tests. (AYC) | 677.169 | 1 |
Daily Quizzes for Geometry
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4.97 MB | 42 pages
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There are a total of 42 daily quizzes in this package that I use with my geometry students. Most of the material that is typically covered in a year of geometry is covered in these quizzes. (See topic list below.) I use these as group quizzes at the end of each of my classes. They take between 5-15 minutes each to complete. (Most of them take 10-15 minutes, but there are a few short quizzes.) Each quiz is in the same format with two of them fitting per page. Almost every quiz has a small writing component to it. (AKA: Briefly explain what you did here, or Why is this formula like this) I have included both Microsoft Publisher and PDF versions of the files. You will be able to modify the Publisher versions | 677.169 | 1 |
An Introduction to General Relativity (London Mathematical SocietyAn Introduction to General Relativity (London
Mathematical Society Student Texts)
Part of London Mathematical Society Student Texts one-semester introduction to basic general relativity suitable for
mathematics and physics undergraduates. An Introduction to General Relativity - Cambridge University Press Series: London
Mathematical Society Student Texts (No. 5) This textbook provides an introduction to general relativity for mathematics
undergraduates or
An Introduction to General Relativity (London Mathematical Society Buy An Introduction to General Relativity (London
Mathematical Society Student Texts) on Amazon.com
Dudal: Histoire de Famille et Histoire de Troupeau chez un Groupe de Wodaabe du Niger (MSH: Collection Production
Pastorale et Societe) (French Edition)
Sex Determination in Mouse and Man (Royal Society Discussion Volumes)
The Muses of Resistance: Laboring-Class Womens Poetry in Britain, 1739-1796
The Rise and Fall of the Plantation Complex: Essays in Atlantic History (Studies in Comparative World History)
American Psychiatric Press Review of Psychiatry: Volume 8 (v. 8)
The Oromo of Ethiopia: A History 1570-1860 (African Studies)
The Biology of Apples and Pears (The Biology of Horticultural Crops)
Natural Agency: An Essay on the Causal Theory of Action (Cambridge Studies in Philosophy)
Excavating People: Archaeology in Britain (Ages 8-12)
The Cambridge Companion to Old English Literature (Cambridge Companions to Literature)
Page 1 | 677.169 | 1 |
Elementary Algebra: Concepts and Applications% more Skill Maintenance Exercises . This series not only provides students with the tools necessary to learn and understand math, but also provides them with insights into how math works in the world around them. | 677.169 | 1 |
Authors: Adhikari, Mahima Ranjan Discusses the basic concepts of algebraic topology with numerous related illustrations and applications Approaches the topic nearly "from scratch" and accompanies students through its natural development Provides examples and step-by-step instructions and explains problem-solving techniques for a better grasp of the topic Integrates various concepts of algebraic topology, examples, exercises, applications, and historical notes Reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to pursue further study is the first authored book to be dedicated to the new field of directed algebraic topology that arose in the 1990s, in homotopy theory and in the theory of concurrent processes. Its general aim can be stated as 'modelling non-reversible phenomena' and its domain should be distinguished from that of classical algebraic topology by the principle that directed spaces have privileged directions and directed paths therein need not be reversible.
The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopy-theoretic point of view of algebraic topology.
This self-contained introduction to algebraic topology is suitable for a number of topology courses. It consists of about one quarter 'general topology' (without its usual pathologies) and three quarters 'algebraic topology' (centred around the fundamental group, a readily grasped topic which gives a good idea of what algebraic topology is). | 677.169 | 1 |
felt he did well on his quiz lat week. He hasn't started on new material in class, and therefore, we worked from the book on possible future topics.
We started with a review of sin and cos graph transformations. We then moved on to csc and sec graph transformations. He did well with the csc and sec graphs and seemed to have little trouble transferring his knowledge of cos and sin graphs to the new topic. Next, we covered tan and cot graphs with vertical & horizontal shifts as well as changes in period. After reviewing these graphs, he and I talked about how these functions (specifically sin and cos) are used to model 'real world' systems (springs, Ferris wheels, etc.). The finial topic we worked through was inverse trig functions, i.e.. Arcsin, Arccos, Arctan, etc. Overall the student seemed to understand the new material. He will continue to work through these topics over the course of next week during school."
"Our main focus today was working with parabolas, their graphs and equations. I began with a discussion of the properties of parabolas and what they all have in coming. We then went over both vertex and intercept forms and what they each tell us about the graph of a parabola. We did some problems with minimums and maximums, and worked out problems which required us to complete the square to get an equation in vertex form. We talked about factoring and worked through some problems which required that some quadratic equations be factored. We decided that for next time we would go over some of the student's old exams. We are going to work out some problems that he found challenging together."
"The student has a upcoming test on Wednesday, We worked on the derivation of trig functions. Once I explained that arcsin was just the inverse of sine, she was able to understand and evaluate inverse trig functions. Derivations of trig functions were easy for her but integrating inverse trig functions proved a little more difficult. She didn't know when to use natural log or inverse trig. We did multiple practice problems so she would better know how to solve these problems. With a little more independent practice, she should have no trouble with integration either."
"The student has a test coming up on Green's, Stokes', and Gauss' Theorems. We discussed the similarities and differences between each of these integration tools and when they might be applied. We practiced a number of problems from the two texts and created a knowledge sheet to help with review."
"For homework today, the student had to combine her recent assignments that had not been collected and attach them together, so we worked on problems she had not been able to finish on her own. Some were word problems, but all had to do with what she has been working on: m = slope = rise/run; point-slope form; slope-intercept form, graphing, etc."
"We covered scientific notation and exponent rules. The student completed her homework. She has no problem with scientific notation or standard notation. She just needs to memorize the exponent rules to become more familiar with problems like this." | 677.169 | 1 |
METAL resources review
Introduction
I first attended a workshop trialling the METAL resources back in Sept 2007 and my feedback was then incorporated (e.g. making the activity sheets independently available of the T&L guides). I offered to take part in this review and to help evaluate the final project resources in the context that I deploy them. I am keen to contribute to Economics Network activities and projects as they are extremely valuable in promoting good practice in economics education. Finally in my role as Head of Student Learning I am always particularly interested to discover and use different resources that can enhance our students' learning; disseminating these to other colleagues where possible.
Context
I coordinate and teach both our core Mathematics modules for level 1 Economics students. These modules are also taken by students from other programmes as optional electives, in particular from the Business Economics programme and some from Business & Management. In addition, there are some Year 2/3 students who are 'filling in gaps' in their mathematical skills.
I used some of the METAL resources last year on both modules, however this review is focusing on my recent use in Semester 1 09. The module (BEE1020 Basic Mathematical Economics) is designed for students without A-level Maths (or equivalent); essentially, these are students without knowledge of basic calculus. Therefore by the end of the course all students should be able to demonstrate simple optimisation techniques, in particular applying them within an economic context.
There are 164 students enrolled on this module, 60% with only GCSE level Maths. This is a very mixed ability group with varied expectations amongst students. Some are very competent at Maths, simply not having had the space within their A-level programme to take it up. At the other end of the spectrum are those who gave up after GCSE with a sigh of relief… only to discover as economists they need Maths after all! Many of these students lack confidence, with a tendency to over-complicate problems, and the module presents a huge challenge. While others, conversely, enjoy rediscovering maths. Most, however, gain a real sense of achievement; in particular, not surprisingly, when the maths is applied to economics and "everything comes together".[1]
Use of resources
I started this review with an overview of the range of resources and then decided to use a selection from the T&L guides (including tasks/activities) plus some of the videos and also the question bank.
Case 1). Having started this module with a review of basic arithmetic and algebra, we then moved on to equations in week 3 – beginning with Linear Equations. This seemed the first point that we could usefully apply mathematics to economics.[2] Having previewed the METAL project videos I decided to use 2.01 Linear Fractions - Budget Lines. I introduced the topic in the first one hour lecture (starting with 'general form' and 'solving equations with one/two unknown variables'). Then we watched the video by way of an introduction to 'formulating equations' i.e. some application of techniques. The video provided a good stimulus to a short discussion on why and how we 'model' in economics (with reference to the context of consumer choice/budget lines etc.) I then set a problem for students to work on individually (based upon T&L guide 2 Section 6: The Equation of a Straight Line: Economic Examples a) A worked example to understand prices and costs); finishing the lecture with a final worked example (S&D which included transposition i.e. inverse demand functions).
Case 2). Each week for this module students have 2* one hour lectures plus a one hour tutorial. A homework exercise is also set weekly and returned in the following tutorial (as part of the formative assessment). From this I could see that a number of students were still having problems with some of the initial arithmetic and algebra. I therefore decided to use the Question Bank: Numbersas a source of additional practice questions. There was good feedback from this; in particular students liked the explanations that accompanied the marking. I used other Question Bank topics later in the course: calculusand economic applications. This was less successful: the questions on differentiation rules use sin/cos/tan frequently. I do not include this on my course for the reason that this is not normally used in economics.
Focus Group feedback/application
Finally, as part of the review, I decided that the most useful thing that I could do would be to get direct feedback from students on the METAL resources. I asked for volunteers and had a small focus group of 6 students. In addition a number of other students used some of the resources and sent me email feedback. This took place in week 8 in order to allow for the greatest range of topics.
I then decided to follow up some of the suggestions, in particular to use the videos as an introduction to a topic. My final topic on the module is integral calculus so I chose 5.14 The Diamond Water Paradox - part one and two. This was set, explaining it was an introduction to the topic and that I would start the next lecture with a couple of short questions based upon these videos. I am also involved with an Integrative Technology project where we are trialling a range different technologies. This therefore was an opportunity to use the Audience Response System (ARS)[4] and I wrote the questions as interactive slides. I started the lecture with these questions: including one question to check how many students had never covered the concept of Integration before. I found that 76% of those who had no prior knowledge of topic answered one or more questions correctly. The last use of the METAL resources, again suggested by a student, was as a revision exercise. I set videos 5.06 – 5.09 Differentiation - Prices in monopolistic markets as a homework task; this was followed up in next lecture with further questions (using the ARS clickers). The level of the maths was just right, students scored well and were pleased to see the results.
Constructive suggestions for improvement
I have had a positive experience using these resources and I will be incorporating them again into this module. However I think there are ways in which they could be improved upon. These generic comments are therefore made in the spirit of 'constructive criticism'.
Case studies: would be useful to have the mathematical content highlighting/indexing.
Question Bank - optimisation –many use same format?
Conclusion
As part of a portfolio of resources[6] to support first year quantitative modules, the METAL project makes a useful contribution. Their strength lies with the application to real life economic situations and problems. This can make a topic come alive and provide a stimulus for discussion. However there is a trade off: with limited resources (huge time pressures to get through material) the bigger picture can seem like a luxury. This might also explain the view of several students that the materials were "too gimmicky" and "long". Setting them as supplementary exercises and as an introduction to topics seems a valuable use. Finally, I would use some of these materials to reinforce the maths concepts within a level one/introductory Economics Principles course. | 677.169 | 1 |
A Friendly Introduction to Number Theory, Fourth Edition is designed to introduce readers to the overall themes and methodology of mathematics through the detailed study of one particular facet—number theory. | 677.169 | 1 |
ISBN 9789350943908
ISBN-10
9350943905
Binding
Paperback
Number of Pages
317 Pages
Language
(English)
Subject
Entrance Exam Preparation
Selected Topics in Mathematics is a comprehensive book for students preparing for engineering entrance examinations. The book comprises of chapters on composition and resolution of forces, parallel forces, moments and couple, equilibrium of rigid body, friction, statistics, correlation and regression, volumes and surfaces, and partial differentiation. In addition, there are several solved and unsolved questions for thorough practice and revision. This book is essential for students appearing for exams like IIT, AIEEE, JEE | 677.169 | 1 |
Exponential functions are frequently used to solve mathematical problems that can be sometimes involved. The operations of exponential functions and their use are mentioned in some of the examples. The properties of exponential functions can be seen with the use of their graphs.
Euler's number is commonly used in advanced mathematics course and physical science disciplines because most solutions depend on it. Sample problems of the use of the basic exponential function are shown through the examples.
Tutorial Features:
Specific Tutorial Features:
• Step by step examples are shown to present the operations and properties of exponents.
• Problem solving techniques are used to solve exponential functions | 677.169 | 1 |
CALCULUS Documents
Showing 1 to 1 of 1
MATH-1750 Quiz 8 Spring 2001
Name _SOLUTIONS_ S.I.D.# _
INSTRUCTIONS: You must show enough work to justify your answer on ALL problems. Correct answers with no work (or inconsistent work) shown will not receive any credit. The point value for each problem
Dr. Sutherland is able to explain new material well, and also readily answers questions for homework during class. Homework could be heavy some weeks, but we were given multiple days to do the work. For complicated story problems, the professor was able to explain how to do them, answered our questions to further our understanding and what we were solving for, and also drew pictures to aid us. Very helpful!
Course highlights:
The first test was basically a review of high school trigonometry with story problems, and the second and third tests covered basic calculus, including limits and derivatives.
Hours per week:
3-5 hours
Advice for students:
Always go to class, including recitations, and take good handwritten notes. While the professor does tend to go quickly, he almost always posts his work online for you to review for further clarification. If you do not understand something, please go to office hours. Homework is very important, as most of the midterms are based off of it and problems that are done in class. | 677.169 | 1 |
Algebra and Trigonometry [Hardcover] [2011] 3 Ed. James
Find CBSE Class 10 NCERT Solutions for Introduction to Trigonometry. 2 MB Over the last several decades, mathematical models have become central to the study of social evolution, both in biology ... Hands on equations worksheets, how do i work out different denominators, inequalities fractions. Examples of special angles are 0°, 45°, 60°, 270°, and their radian equivalents. The Common Core Mathematics Standards have a number of basic problems.
Pages: 0
Publisher: Cengage Learning (2011)
ISBN: B00CX4QFOQ
Trigonometry; plane and spherical
Plane and Spherical Trigonometry. 5th Edition.
College Trigonometry: A Narrative Approach Second Edition
College Algebra and Trigonometry
Plane Trigonometry With Tables 2ND Edition
Moreover, students can get unlimited trigonometry homework help at any given time by staying at home. Experienced virtual tutors are available 24/7 and provide useful help and make learning the topic easier and convenient Plane and spherical trigonometry. Gradually the translations made on the continent of Europe came to England. After entering Oxford University in about 1308, Richard entered monastic life at St Alban's in 1316. After his ordination as a priest, his Abbot sent him back to Oxford where he studied for nine years. Richard's early work was a series of instructions (canons) for the use of astronomical tables that had been drawn up by John Maudith, the Merton College Astronomer Mention sub-Raiders series often exam intensive training: high school math (trigonometric plane vector)(Chinese Edition). Many people find it easy to remember what sides of the right triangle are equal to sine, cosine, or tangent, by memorizing the word SOH-CAH-TOA (see below under Mnemonics ) Plane Trigonometry Parts 1 and 2 319 C (International Correspondence School). Or maybe it won't, but it's worth trying. I could just as well split this region up into horizontal strips. Whose width is dy, and whose length is x Six-figure tables of trigonometric functions (Mathematical tables series;vol.26). I DONT KNOW what to lead to the a bad rap is. That itll probably be news about Jon Benet nationwide who are working. And I hope and impropriety or the appearance the truth in no last Presidential. I think the people movement struggled for social Algebra and Trigonometry [Hardcover] [2011] 3 Ed. James Stewart, Lothar Redlin, Saleem Watson online. Well there is a function called the inverse of Sine (normally written as Sine to the power of -1 which is a bit deceptive) to find out an angle when you've been given its Sine. I may come back to it in another time and show you the graph of Sine and where Sine comes from but for now, that is not necessary College Algebra and Trigonometry 2nd Ed Instructor's Annotated Ed. Applications in many fields (biology, physics, gambling, etc.). Central limit theorem, point estimation, interval estimation, multivariate normal distributions, tests of hypotheses, and linear models TRIGONOMETRY (College Level Examination Series) (Passbooks) (COLLEGE LEVEL EXAMINATION SERIES (CLEP)). It isn't if you are willing to read and study many books and videos. You can't learn everything from formal school class lectures - they can't allow time for the information to be competely absorbed online.
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 Algebra 2Trigonometry byClemens. And do you have any suggestions for improvements Schaum's Outline of Trigonometry, 5th Edition: 618 Solved Problems + 20 Videos (Schaum's Outlines)? I happened to debate with a friend during college days whether advanced mathematics is necessary for any veteran programmer. He said that programmers need only basic mathematical knowledge from high school or fresh year college math, no more no less, and that almost all of programming tasks can be achieved without even need for advanced math The Elements of Algebra and Trigonometry. Where brackets are not used a definite order of priority is given to the various operations download Algebra and Trigonometry [Hardcover] [2011] 3 Ed. James Stewart, Lothar Redlin, Saleem Watson pdf. Seismic Waves - This example is about seismic waves. SSA Construction - In this activity students will use Geometer's Sketchpad, Cabri Geometry or the TI-92 to construct the SSA Ambiguous Case to demonstrate the possible number of triangles which can be constructed based on the length of the third side Elements Of Plane Trigonometry. [with] Key.
Trigonometric and Logarithmic Tables
There would be one set of ratios for the one-degree angle in a 1-89-90 triangle, another set of ratios for the two-degree angle in a 2-88-90 triangle, and so forth. These ratios are called the "trigonometric" ratios for a right triangle. Given a right triangle with a non-right angle designated as θ (" THAY-tuh "), we can label the hypotenuse (always the side opposite the right angle) and then label the other two sides "with respect to θ" (that is, in relation to the non-right angle θ that we're working with) pdf. These tutorials shows us how to do trigonometry. Besides using Math Captain's detailed and free tutorials, we also recommend you explore online tutoring and trigonometry homework help options to get better at Math. Online tutoring can be done from the comfort of home and is a great supplemental or remedial help. A lot of online tutoring sites also offer trigonometry homework help and assignment help making it much easier for you to get your class assignments done on time Algebra and trigonometry study guide. Many scientific calculators allow the direct use of brackets. If you have this facility most calculations can be entered exactly as they are written. Type (34 + 42) x (25 - 17) = and you should get 7. If you do not have brackets on your calculator then you will either need to work out each bracket separately, noting down the result each time, and then combine the two separate results, or you will have to use the memory facility DVD for Larson/Hostetler's College Algebra, 8th. Introduction to Proofs in Analysis and Linear Algebra. 100 Units. This course is intended for students who are making the transition from MATH 13300 or 15300 to MATH 20300, or for students who need more preparation in learning to read and write proofs College Algebra and Trigonometry: A Unit Circle Approach (6th Edition). Venus) moving across the face of the sun, and occultations (where the moon covered the stars) could be observed. These observations continued over many centuries, slowly becoming more accurate, so that ancient people were able to make star maps, and detect the regular events in the heavens Trigonometry: A Complete Introduction: Teach Yourself.
Trigonometry [Math 11022] (Custom for Kent State University)
Essentials of Trigonometry
Plane Trigonometry
Algebra With Trigonometry
College Algebra and Trigonometry
Trigonometry
A System Of Plane And Spherical Trigonometry: To Which Is Added A Treatise On Logarithms (1831)
The Department of Mathematics welcomes assistant professor Xiannan Li. D., Xiannan became a JL Doob Research Assistant Professor at University of Illinois at Urbana-Champaign, and then a postdoctoral fellow at University of Oxford Report On The Trigonometrical Survey Of A Portion Of The Colony And British Kaffraria. Math tutor - hs, bellevue, wa, algorithm to solve multiple quadratic information by formula method, solving quadratic ti-89, multiplying binomials free solver, cubed roots calculator Eight-place table of trigonometric functions for every sexagesimal second of the quadrant: Achtstellige tafel der trigonometrischen funktionen für jede sexagesimalsekunde des quadranten,. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution Mirifici Logarithmorum Canonis Descriptio, Ejusque Usus, in Utraque Trigonometria VT Etiam in Omni Logistica Mathematica, Amplissimi, Facillimi, & Expeditissimi Explicatio, Accesserunt Opera Postuma ... / Autore AC Inventore Ioanne Nepero ... (. By passing the ELM in high school, students won't have to pay additional testing fees and do expensive remedial coursework in college. You are commenting using your WordPress.com account. ( Log Out / Change ) You are commenting using your Twitter account. ( Log Out / Change ) You are commenting using your Facebook account. ( Log Out / Change ) You are commenting using your Google+ account. ( Log Out / Change ) Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising Additional Skill and Drill Manual. That is why I titled this SOHCAHTOA - a name that will become clear. SOH stands for Sine of Angle, Opposite, Hypotenuse ALGEBRA 2 3RD EDITION PRESENTATION PRO CD-ROM 2004C. Is there any way to get a printable version of the solution to a particular Practice Problem? Key to plane trigonometry, for the use of colleges and schools. I believe the animation above repays careful study! It beautifully illustrates that formulae of the form asinx + bcosx = c are really just a special case of a more general fact: the combination of any two sine waves with different phase *always* results in a third sine wave whose amplitude is found (as can be seen above - the purple arrow) by means of a vector sum Wiley trigonometric tables. So if I know the cos(2theta), I want to try to express the cos theta in terms of it. Well, I'll start with a cos(2theta) and play with that. Well, we know what this is, it's cos^2(theta) - sin^2(theta). But we also know what the sin^2(theta) is in terms of the cosine epub. To forecast weather, to tell time, to handle money. We also use math to analyze crime, reveal patterns, predict behavior. Using numbers, we can solve the biggest mysteries we know." While most of the low-level criminals do think that math is boring, they do acknowledge its importance: Failing to maintain a proper count of his merchandise and income can land a drug dealer in big trouble with his boss Elementary trigonometry [microform]. Modify, remix, and reuse (just remember to cite OCW as the source.) This product ships free to addresses in the US! The LIFEPAC Math (Trigonometry) complete set contains all 10 student workbooks for a full year of study plus the comprehensive Teacher's Guide. of customers would recommend this product to a friend Standard Field Tables and Trigonometric Formulas. | 677.169 | 1 |
A Descriptive, Survey Research Study Of The Student Characteristics Influencing The Four Theoretical Sources Of Mathematical Self-Efficacy Of College Freshmen, Tonja Motley Locklear
The Sources of Middle School Mathematics Self-Efficacy Scale (Usher & Pajares, 2009) was adapted for use in this study investigating the impact that gender, race, sexual orientation, hometown location (rural, suburban, or urban), high school GPA, college GPA and letter grade of a mathematics course in the previous semester had on the four sources of mathematical self-efficacy of 102 college freshmen attending three small, private, liberal arts institutions. Even though this study found no interaction effects between the student characteristics, the four sources of mathematical self-efficacy, or the three subcategories of the vicarious experience construct, this study did find statistically significant ...
Theses: Doctorates and Masters
This study investigated and described the status and quality of secondary science teaching and learning in Lagos State, Nigeria. Quantitative and qualitative methods were used for gathering research data. Quantitative data were obtained from the surveys of 78 junior secondary science teachers and 500 junior secondary students from three Local Education Districts of Lagos State. Qualitative data on the other hand, were gathered from analysis of national and state curriculum documents and from focus groups of science teachers, school principals, parent association representatives, education officers, teacher educators, representatives of the professional association for science teachers and representatives of examination bodies ...
Senior Honors Theses
Math anxiety is a real problem facing students and teachers today. The mathematics teacher especially needs to understand the causes and effects of math anxiety as well as ways to help students overcome it. There are many symptoms of math anxiety including an unwillingness to attempt mathematics problems, a fear of taking advanced mathematics classes, and being unusually nervous when in mathematics class. Math anxiety hinders students' working memory (Perina, 2002). It occurs at different ages in different people for different reasons. The main cause of math anxiety is the teacher himself It has been shown that students tend toHow To Graphically Interpret The Complex Roots Of A Quadratic Equation, Carmen Melliger
MAT Exam Expository Papers
As a secondary math teacher I have taught my students to find the roots of a quadratic equation in several ways. One of these ways is to graphically look at the quadratic and see were it crosses the x-axis. For example, the equation of y = x2 – x – 2, as shown in Figure 1, has roots at x = -1 and x = 2. These are the two places in which the sketched graph crosses the x-axis.
Journal of Pre-College Engineering Education Research (J-PEER)
Quality Science, Technology, Engineering, and Mathematics (STEM) education is vital for the future success of students. Integrated STEM education is one way to make learning more connected and relevant for students. There is a need for further research and discussion on the knowledge, experiences, and background that teachers need to effectively teach integrated STEM education. A support, teaching, efficacy, and materials (s.t.e.m.) model of considerations for teaching integrated STEM education was developed through a year-long partnership with a middle school. The middle school was implementing Project Lead the Way's Gateway to Technology curriculum. The s.t ...
Education and Outreach
Grades 3-5 Pollution, Amy Silviotti
Science
This is a science lesson for grades third through five on pollution. Through this lesson students will be able to describe the relationships among air, water, land on Earth, characteristics of living and non living things, survival behaviors of common living specimens, the factors that help promote good health. Students will also be able to identify how plants and animals depend on each other and in what ways humans have changed the environment. The lesson is tiered in three levels based on ability. Within each tier the student will complete a shape contract where they choose tasks based on interest ...
The Effects Of Technology Instruction On The Academic Achievement Of Fifth Grade Students, Karen Davis
Doctoral Dissertations and Projects
A digital native is an individual born between 1981 and 2001, and children born after 2001 are called millennials. Educators are expected to meet the needs of today's technologically savvy students. Some researchers assert that an academic `moral panic' is taking place that lacks the empirical and theoretical knowledge to support the claims that education needs to change to meet the needs of digital natives and millennials. The problem is that considering that the majority of students today are digital natives are educators meeting the learning needs of their students. This research study focused on the use of instructional ...
Robert T. Palmer, PhDThomas Tretter
This pilot investigated the promise of positive outcomes in literacy, science, and social behavior on K– 2 English learner (﴾EL)﴿ students after two months of implementation of the Science Inquiry Centered Argumentation Model (﴾ScICAM)﴿—a systematic teaching approach to science learning that integrates literacy instruction and argument-‐based inquiry. The sample included 17 teachers and 31 EL students. Results indicated that teacher practices (﴾proximal outcomes)﴿ aligned well with the ScICAM approach and resulted in increases in EL student learning (﴾distal outcomes)﴿. Teacher increase in the use of inquiry and writing scaffolds and student growth in the ability to express understandings ...
Thomas Tretter
This study examined the development of peer mentoring skills and deepening of content knowledge by trained and supported undergraduate teaching assistants (UTAs) working with students in entry-level STEM courses across nine departments at a large research intensive U.S. university. Data were collected from two sources: a survey with 10 items requesting 5-point Likert-type responses and an open-ended reflection written by each UTA to process their experiences. The survey responses were analyzed by comparing rates of agreement across the 10 items. Statements from the reflections were categorized by research question and descriptively labeled to capture the essence of implied orInterdisciplinary Journal of Problem-Based Learning
This article illustrates how mathematics teachers can develop design-focused projects, related to project-based learning, to motivate secondary mathematics students. With first-hand experience as a secondary mathematics teacher, I provide a series of steps related to the engineering design process, which are helpful to teachers in developing design-focused projects, describe various projects that have been developed and implemented within my classroom, and share project artifacts illustrated by pictures, student work, and student comments. Referring to the MUSIC Model of Academic Motivation and reflecting upon personal observations, student outcomes, and student comments, I provide personal insight on how design-focused projects can be ...
A Quantitative Analysis Of Factors Influencing The Professional Longevity Of High School Science Teachers In Florida, James Alexander Ridgley Jr
Dissertations
This dissertation is an exploratory quantitative analysis of various independent variables to determine their effect on the professional longevity (years of service) of high school science teachers in the state of Florida for the academic years 2011–2012 to 2013–2014. Data are collected from the Florida Department of Education, National Center for Education Statistics, and the National Assessment of Educational Progress databases. The following research hypotheses are examined: H1 – There are statistically significant differences in Level 1 (teacher variables) that influence the professional longevity of a high school science teacher in Florida. H2 – There are statistically significantFrom Stem To Steam: Students' Beliefs About The Use Of Their Creativity, Ayse Tugba Oner, Sandra Bonorden Nite, Robert M. Capraro, Mary Margaret Capraro
The STEAM Journal
To be successful in a STEM career, not only STEM knowledge and skills but also creativity is required. Therefore, the arts have been integrated into STEM disciplines and subsequently designated as STEAM education (Sousa & Pilecki, 2013). One example of informal learning environments that STEAM education provided is a summer camp. In this study, middle and highs school students' use of their creativity in the Project-based Learning (PBL) courses was examined to determine students' belief about the use of the arts in STEM activities. The results showed that students believed that they used their creativity in eight of the nine classes. from STEM to STEAM and beyond. to | 677.169 | 1 |
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nimbl GCSE Maths (Foundation Tier) is an interactive resource to help you learn and revise for your GCSE exams.
The maths curriculum is brought to life with interactive, multimedia course texts written by experienced education professionals.
Full of resources to help you practise and revise for better exam results. - Animated audio lessons - Methods, explanations and illustrations - Activities and tests for every unit - A complete app covering the whole of the Foundation Tier GCSE syllabus - Revise wherever you are
"Best GCSE Revision App! Brilliant app - has everything I need for revision! The videos are great too! A must have for any GCSE maths student like my self! " Gabriel Barnes, Year 11, Frome College, Somerset | 677.169 | 1 |
Abstract Algebra, 3rd acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. * The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.
David S. Dummit: University of Vermont Richard M. Foote: University of Vermont | 677.169 | 1 |
In this course, the second in the calculus sequence, integral calculus is investigated along with an introduction to parametric equations. Subjects studied include Riemann sums, the definite integral and the Fundamental Theorem of Calculus, techniques of Integration, area between curves, disk and washer methods for computing volumes, improper integrals, arc length, along with calculus on parametric equations. | 677.169 | 1 |
Summary and Info
A powerful introduction to one of the most active areas of theoretical and applied mathematics This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented. While occasionally using the more general topological vector space and locally convex space setting, it emphasizes the development of the reader's mathematical maturity and the ability to both understand and "do" mathematics. In so doing, Functional Analysis provides a strong springboard for further exploration on the wide range of topics the book presents, including: Weak topologies and applications Operators on Banach spaces Bases in Banach spaces Sequences, series, and geometry in Banach spaces Stressing the general techniques underlying the proofs, Functional Analysis also features many exercises for immediate clarification of points under discussion. This thoughtful, well-organized synthesis of the work of those mathematicians who created the discipline of functional analysis as we know it today also provides a rich source of research topics and reference material | 677.169 | 1 |
Au sujet du livre
Description :
Language: English . Brand New Book. Users discover the many ways in which mathematics is relevant to their lives with MATHEMATICS: A PRACTICAL ODYSSEY, 7E and its accompanying online resources. They master problem-solving skills in such areas as calculating interest and understanding voting systems and come to recognize the relevance of mathematics and to appreciate its human aspect. N° de réf. du libraire BZV9780538495059 | 677.169 | 1 |
ISBN 9789351760825
ISBN-10
9351760820
Binding
Paperback
Edition
6th
Number of Pages
400 Pages
Language
(English)
Subject
Entrance Exam Preparation
Ever thought of the burden the Class 10 pass outs experience when suddenly they enter a world full of heavy weight books which are a part of preparation for entering IITs, India premier engineering institutes. Every year a large number of students passing class 10th and entering into class 11th dream of getting into Indian Institutes of Technology (IITs). But only a few of them are able to cope up with the vast and different curriculum of 11th class. The Foundation Course in Mathematics for JEE with a motto Maintain the pace and spirit of our young minds Towards JEE is one such book which aims to work as the foundation course which will help bridge the vast gap between Class 10 and Class 11 curriculum. This book has been designed with a simple approach for class 10th passed students aspiring to get into IITs. The book has been divided into nine chapters namely Plane Geometry, Cartesian Coordinate System and Straight Line, Trigonometry, Number Theory, Theory of Equations, In equations, Polynomials and Logarithms, Permutations and Combinations, Sequences and Series, Functions and Introductory Differentiation and Integral Calculus, each containing detailed theoretical content along with tables, figures, etc. for better understanding. The book contains a large number of Concept Building Illustrations. Objective and subjective questions with complete solutions have been given under Proficiency in Concepts. Proficiency Problems section covers various types of questions like discussion questions, numerical type, fill in the blanks, true false type and questions asked in JEE provided at chapter end along with their hints and solutions. 20 Mock Papers have been given at the end of the book with their answers and solutions for more practice. Hope this book will serve the motto with which it has been written and will prove to be a must read book for Class 10th pass outs aspiring to get into IITs. TABLE OF CONTENTS : - 1. Plane Geometry 2. Cartesian Coordinate System and Straight Line 3. Trigonometry 4. Number Theory 5. Theory of Equations, Inequations, Polynomials and Logarithms 6. Permutations and Combinations 7. Sequences and Series 8. Functions 9. Introductory Differentiation and Integral Calculus | 677.169 | 1 |
If you think a Cartesian coordinate is something from science fiction or a hyperbolic tangent is an extreme exaggeration, you need Trigonometry DeMYSTiFieD, Second Edition, to unravel this topic's fundamental concepts and theories at your own pace.
This practical guide eases you into "trig," starting with angles and triangles. As you progress, you will master essential concepts such as mapping, functions, vectors, and more. You will learn to transform polar coordinates as well as apply trigonometry in the real world. Detailed examples make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key ideas.
It's a no-brainer! You'll learn about:
Right triangles
Circular functions
Hyperbolic functions
Inverse functions
Geometrical optics
Infinite-series expansions
Trigonometry on a sphere
Simple enough for a beginner, but challenging enough for an advanced student, Trigonometry DeMYSTiFieD, Second Edition, helps you master this essential | 677.169 | 1 |
Product Description
Ray's New Higher Arithmetic is a reprint of the original Higher Arithmetic by Joseph Ray, first published in the 1800s! These fascinating texts cover arithmetic in an orderly manner, presenting principles followed with examples and difficult problems. This volume covers the principles and properties of numbers and an advanced study of common and decimal fractions, measurements, ratio, proportion, percentage, powers and roots, series, business math, and geometry. Contains challenging work for advanced students and basic work for slower students. Can be used for grades 7 and 8, as well as for high school. 416 pages, Paperback.
Publisher's Description
Mott Media has republished the version of Ray's Arithmetic from the late 1870's and early 1880's. This book includes philosophical understandings; principles and properties of numbers; and advanced study of common and decimal fractions, measurements, ratio, proportion, percentage, powers and roots, series, business math, geometry. Has challenging work for advanced students and basic work for slower students. Can be used in grades 7 and 8 as well as for | 677.169 | 1 |
I
Review Topics for the Math 21 Final Exam
l.
Find the general solution to a system of equations, both homogeneous and inhomogeneous.
2.
Demonstrate whether or not a given set is a subspace of a vector space.
3.
Find the image of a vector under a transfor
Math 21
Winter 2015
Final Examination: BLUE VERSION
This exam has ve pages and seventeen questions, many with several parts. Please check to see that your booklet is complete before
commencing work
To receive any anything like full credit your answers sho
FootHill CollegeLEPW/S/smr 20_
Name:_
Date: 2L7:
Math 2B: 2.2: The Inverse of Matrix.
1 . Denitions.
Definition: A matrix A = ARM is said to be invertible if there is a matrix C 2: 0mm such that
CA = I and A0 = I
where I = In is the identity matrix. In | 677.169 | 1 |
Designed as a textbook for the undergraduate students of civil engineering and postgraduate students of structural engineering, this comprehensive book presents the fundamental aspects of matrix analysis of structures. The basic features of Matrix Structural Analysis along with its intricacies in application to actual problems backed
up by numerical examples, form the main objective of writing this book.
The text begins with the chapters on basics of matrices and structural systems. After providing the foundation for matrix structural representation, the text moves onto dimensional and behavioral aspects of structural systems to classify into pin-jointed systems, then onto beams and finally three-dimensional rigid jointed systems. The text concludes with a chapter on special techniques in using matrices for structural analysis. Besides, MATLAB codes are given at the end to illustrate interfacing with standard computing tool. A large number of numerical examples are given in each chapter which will reinforce the understanding of the subject matter | 677.169 | 1 |
This
The book is richly illustrated and includes over 200 end-of-chapter exercises. A flexible format and a clear and succinct writing style make it a good choice for introductory courses in chaos and fractals. Zentralblatt MATH)
This is an excellent book, and is highly recommended. ( Mark Hunacek, Mathematical Association of America)
The only textbook on chaos and fractals for non-science and mathematics majors. Covers central phenomena and ideas of chaos and fractals in a careful, intellectually honest, but accessible way. ( L'Enseignement Mathematique (2) 59)
Chaos and fractals are two intertwined concepts that have revolutionized many areas of science and renewed popular interest in mathematics over the past few decades. Feldman's book is a rich resource for anyone who wants a deeper understanding of these subjects without the need for advanced mathematics. ( Julien Clinton Sprott, University of Wisconsin-Madison)
The style of writing is easy on the reader. The explanations are clear and illustrated with many diagrams and side notes....[Feldman] has produced an excellent book. ( John Sykes, Mathematics in School)
David P. Feldman provides a delightful and thoughtful introduction to chaos and fractals requiring only a good background in algebra. The formal treatment of nonlinear dynamics, chaotic behavior, Lyapunov exponents, and fractal dimensions is leavened with creative analogies and many helpful and visually attractive figures and diagrams. Even more mathematically sophisticated readers will find this book a good starting point in exploring the complex and beguiling realms of chaos and fractals. ( Robert C. Hilborn, Associate Executive Officer, American Association of Physics Teachers) Durham University)
The book is very well produced, with excellent diagrams and very informative notes provided beside the main text. It also provides an extensive list of references for further reading. ( Scottish Mathematical Council Journal)
About the Author:
David Feldman joined the faculty at College of the Atlantic in 1998, having completed a PhD in Physics at the University of California. He served as Associate Dean for Academic Affairs from 2003 - 2007. At C.O.A. Feldman has taught over twenty different courses in physics, mathematics, and computer science. Feldman's research interests lie in the fields of statistical mechanics and nonlinear dynamics. In his research, he uses both analytic and computational techniques. Feldman has authored research papers in journals including Physical Review E, Chaos, and Advances in Complex Systems. He has recently begun a research project looking at trends in extreme precipitation events in Maine.. Paperback. Condizione libro: new. BRAND NEW, Chaos and Fractals: An Elementary Introduction, David P. Feldman, B9780199566440 | 677.169 | 1 |
College Algebra: Graphs and Models by Raymond Barnett
Book Description
The Barnett Graphs & Models series in college algebra and precalculus maximizes student comprehension by emphasizing computational skills, real-world data analysis and modeling, and problem solving rather than mathematical theory. Many examples feature side-by-side algebraic and graphical solutions, and each is followed by a matched problem for the student to work. This active involvement in the learning process helps students develop a more thorough understanding of concepts and processes. A hallmark of the Barnett series, the function concept serves as a unifying theme. A major objective of this book is to develop a library of elementary functions, including their important properties and uses. Employing this library as a basic working tool, students will be able to proceed through this course with greater confidence and understanding as they first learn to recognize the graph of a function and then learn to analyze the graph and use it to solve the problem. Applications included throughout the text give the student substantial experience in solving and modeling real world problems in an effort to convince even the most skeptical student that mathematics is really useful.
Buy College Algebra: Graphs and Models book by Raymond Barnett from Australia's Online Bookstore, Boomerang Books.
Books By Author Raymond Barnett
The author shows how focusing on basic daily Taoist habits through activities like going to the park, gardening, or enjoying a cup of tea helps enrich lives in modern America. Complete with exercises and probing questions, this resource is a perfect primer for Tao | 677.169 | 1 |
ISBN 9788183486248
ISBN-10
818348624X
Binding
Paperback
Number of Pages
120 Pages
Language
(English)
Subject
Entrance Exam Preparation
The book is a complete guide for learning to work with mathematics using the Vedic approach. Summary Of The Book Originating from an unparalleled confluence of religion and science, Vedic mathematics is a unique approach to understanding and solving mathematical problems. It has for long been used in solving both basic, as well as, advanced level arithmetic. This book introduces the readers to the complete precepts of Vedic mathematics in a simplified and easy-to-learn manner. Beginning with an introduction to its origin and brief history, the book goes on to present the sixteen founding principles of Vedic mathematics. First, It covers basic mathematical processes including addition, subtraction, multiplication, and division. It also takes up frequently used concepts of Highest Common Factor (HCF), divisibility, factorization, decimals, squares, cubes, and roots. The book goes on to explore various types of equations that form part of most mathematical calculations. It covers simple equations, quadratic equations, biquadratic equations, and simultaneous equations among others. More advanced topics like differential calculus, partial fractions, and integration by partial fractions have also been explained using the principles of Vedic Mathematics. | 677.169 | 1 |
Synopsis
Essential Mathematics VELS Edition Year 9 Pack With Student Book, Student CD and Homework Book for VELS by David Greenwood, David Robertson, Georgia Sotiriou, Voula Sotiriou
The series: New in 2006! The complete resource package for every student thoroughly rewritten to reflect the Victorian Essential Learning Standards. The Year 9 student pack includes * the full colour student text * the student CD-ROM (with an electronic version of the book and interactive tests) * the Homework book (which provides at least one homework activity per week) Series features: * Carefully rewritten to incorporate the new VELS content throughout, providing students with the highest quality maths texts available. * VELS projects have been extensively trialled in schools to ensure they work well in the classroom environment. * Suitable for both standard and enrichment courses in Years 7 to 10 (In 2007 we are releasing a Gold edition at Year 10 for students struggling with mainstream maths). * Includes correlation grids clearly matching our texts to the Progression Points and VELS on the Teacher CD-ROMs to assist teachers with reporting.
About the Author
David Greenwood is the Head of Mathematics at Trinity Grammar School and has also taught mathematics for many years at Scotch College. He is an experienced author of mathematics and technology texts which apply to all secondary levels. He has presented at many conferences and run a number of workshops outlining the implementation of VELS, and the use of technology including graphics calculators and dynamic geometry software. David Robertson is the Head of Mathematics and VCE coordinator at Mowbray College. He has been an author for the last 10 years, and a teacher for the last 26 years in both the state and private school system. He has written two series of books in the Maths area, and also currently teaches Mathematics to students in Years 7 - 12. Georgia Sotiriou has 25 years of experince teaching year 7 - 12 mathematics, and in this time she has been the Maths Coordinator, Year Level Coordinator and VCE Coordinator across a number of schools. For many years she was a member of the VCAA CAT setting panel for Maths Methods as well as a VCAA examiner in Maths Methods and Specialist Maths. She has also been a member of the Monash International College Mathematics Examination Panel, and has authored many Maths texts. She currently teacher at Melbourne Girls College, and is responsible for the Maths Task Centre. Voula Sotiriou is currently Senior Mathematics teacher at Taylors College. She is a former Head of Mathematics at a leading Catholic school and has been an examiner and reviewer in VCE Mathematics for the VCAA. She is a highly experienced author having published both junior and senior Mathematics texts in Victoria. | 677.169 | 1 |
Product Description
Get into the correct-level math class! Study up and avoid making mistakes on things you know with Math for the Accuplacer. Explanations of concepts, examples, tips, and practice tests will help you brush up on basic math, exponents, radicals, algebra, equations and inequalities, word problems, geometry, and more. 344 pages, indexed, softcover.
Publisher's Description
Bob Miller's Math for the ACCUPLACER® Gets You a High Score!
More than 1,300 high schools, technical schools, community colleges, and four-year colleges across the country use the ACCUPLACER® to determine the skill levels of incoming students. Students at all learning levels will benefit from this comprehensive college placement test prep.
Written by a math specialist, our test prep contains everything you need to know to score high on the math portion of the ACCUPLACER®. The book explains math concepts in a lively, easy-to-grasp style.
The targeted review section covers all the math topics tested on the ACCUPLACER® including arithmetic (17 questions on the test), elementary algebra (12 questions on the test), and college-level math (20 questions on the test). To help you get the most out of your ACCUPLACER® preparation, Bob has included four practice tests for each section - for a total of 12 exams!
Each chapter includes step-by-step examples and exercises. Detailed explanations of solutions help you understand and retain the material. Test-taking advice, study tips, and exam strategies prepare you for exam day, ease your anxiety, and help you boost your score.
If you're taking the ACCUPLACER® and need to improve your math skills before test day, this is the book for you!
Author Bio
For more than three decades, Bob Miller has brought his unique brand of teaching math to Rutgers, NYU Polytechnic, City University of New York, and Westfield State College. He is the author of the widely acclaimed "Clueless" series and has developed several math test preps for RE | 677.169 | 1 |
Concise Course in Algebraic Topology Author: J. Peter May
ISBN: 9780226511832 Format: Paperback Number Of Pages: 254 Published: 17 December 1998 Country of Publication: US Dimensions (cm): 23.0 x 15.2 x 1.5 Description: Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into | 677.169 | 1 |
The Cosmic Octave is a gem of a handbook for anyone interested in understanding how music is truly the language of the cosmos and of the natural world. Cousto, a brilliant german mathematician, writes succinctly and in terms that are easy to grasp even for non-scientists.
Want a top-shelf data analysis package on a bottom-shelf budget? Try Octave, the free, open-source alternative to MATLAB. In this course, Curt Frye shows information workers how to perform advanced data analysis using Octave. Learn how to use its built-in commands, operators, and functions to perform statistical and numeric analysis; create and manipulate matrices; and manage executable programs and scripts | 677.169 | 1 |
3H Algebra 20145
Exercise set 1
Revision exercises
All of these questions depend on material covered in Mathematics 2F and you may
nd it helpful to revise parts of that course.
Qu. 1.
Consider the two innite sets N (the set of natural numbers) and E (the
3H Introduction to Algebra, Sheet 2 an
3H Algebra, Sheet 3
(Please report any errors or necessary clarications to
Ghislain.Fourier@glasgow.ac.uk)
PLEASE WRITE YOUR NAME, YOUR TUTOR AND YOUR TUTORIAL GROUP
ON YOUR HOMEWORK SHEETS WHEN HANDING THEM IN
(BAKER or FOURIER, WED or THU)
You should pr
Algebra (3H), Sheet 1 and being ready
3H Algebra, Sheet 4 Homom
3H Algebra, Sheet 8 11
3H Algebra, Sheet 5 7 9 6 simpl
3H Algebra, Sheet 10 | 677.169 | 1 |
Linear algebra was integral to my physics degree. My computer science | 677.169 | 1 |
Pioneer Mathematics is providing discussion of RD sharma solutions to 6th, 7th, 8th, 9th, 10th, 11th, 12th CBSE students. The questions of RD sharma are solved in smart way. When student refer these solutions, then he/she compares the way of thinking of his/her brain and the smart way used by Pioneer's team. This is How Pioneer is different from other websites...The sample of smart solutions is given as follow:
This is the question of 10th class RD Sharma, Chapter "Arithmetic progression", 21st MCQ on the back of chapter.
6th class RD Sharma Mathematics book
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8th class RD Sharma Mathematics book
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CBSE class 9th students must practice RD Sharma if they want to prepare for the future competitions.Those students who aim is to become a good engineer must solve all the questions of this book. Pioneer Mathematics provides an IIT Foundation Course for 9th class students. And it must be said that preparation for IIT cannot be complete till you practice RD Sharma questions. In order to help the students and the teachers facing problem in solving the questions Pioneer Mathematics provides complete discussion of RD Sharma solutions for 9th class.
10th class RD Sharma a book which gives you an initial idea and preparation for the competition for which more than 3 lakh people across the India will be fighting to get a prestigious seat i.e. IIT-JEE, AIEEE, BITSAT, CBSE PMT, CA entrance etc. Even though the board exams have been finished but never forget that ultimately your aim is to fight and win an admission in the top institute of India. Pioneer Mathematics provides complete discussion of 10th class R.D. Sharma solutions to make it easier for the students as well as the teachers.
Students who are preparing for engineering entrance exams must practice RD Sharma questions and this goes for the commerce students also. The objective questions on the back exercises are important for practising. Pioneer Mathematics provides complete discussion of 11th class RD Sharma solutions which help the students solve RD Sharma questions easily
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Designed for use by students at beginning high school through adult levels, this manual contains seventeen lessons on uses of the electronic hand calculator. Within each of the eight sections lessons presented include objectives, procedural information, examples, and problems to be solved. Following an introductory lesson to the calculator, section 2 provides lessons on three fundamental operations: addition and subtraction, multiplication and division, and powers and roots. Section 3 lessons are on decimals and percents: rounding off numbers, fractions to decimals, and percentage. Two lessons on special features are given in section 4: multiplication and division by a constant, and memory. Section 5 covers order of operations: basic operations and parentheses. In section 6, special keys are presented: key, negative numbers and sign-change key, reciprocal key, and exchange keys. Section 7 has two lessons on the presentation of numbers: significant figures and scientific notation. Review problems are provided in section 8. Selected answers to problems presented in the various sections are appended, and an index is provided. (JH) | 677.169 | 1 |
Transformation Geometry: An Introduction to Symmetry (Undergraduate Texts in Mathematics)
Author:George E. Martin
ISBN 13:9780387906362
ISBN 10:387906363
Edition:N/A
Publisher:Springer
Publication Date:1996-12-20
Format:Hardcover
Pages:240
List Price:$74.95
 
 
Transformation Geometry: An Introduction to Symmetry is a modern approach to Euclidean Geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers. | 677.169 | 1 |
Investment Science
4.11 - 1251 ratings - Source
Representing a true breakthrough in the organization of finance topics, Investment Science is an indispensable tool in teaching modern investment theory. It presents sound fundamentals and shows how real problems can be solved with modern, yet simple, methods.David Luenberger gives thorough yet highly accessible mathematical coverage of the standard and recent topics of introductory investments: fixed-income securities, modern portfolio theory and capital asset pricing theory, derivatives (futures, options and swaps), and innovations in optimal portfolio growth and valuation of multiperiod risky investments. Throughout the book, he uses mathematics to present essential ideas of investments and their applications in business practice. The creative use of binomial lattices to formulate and solve a wide variety of important finance problems is a special feature of the book. It is ideal for investment or investment management courses in finance, engineering economics, operations research and management science departments.Supplements and Resources:Solutions Manual: 0195125177Throughout the book, he uses mathematics to present essential ideas of investments and their applications in business practice.
Title
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Investment Science
Author
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David G. Luenberger
Publisher
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Oxford University Press, USA - 1998
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Bridging the gap between procedural mathematics that emphasizes calculations and conceptual mathematics that focuses on ideas, Mathematics: A Minimal Introduction presents an undergraduate-level introduction to pure mathematics and basic concepts of logic. The author builds logic and mathematics from scratch using essentially no background except natural language. He also carefully avoids circularities that are often encountered in related books and places special emphasis on separating the language of mathematics from metalanguage and eliminating semantics from set theory.
The first part of the text focuses on pre-mathematical logic, including syntax, semantics, and inference. The author develops these topics entirely outside the mathematical paradigm. In the second part, the discussion of mathematics starts with axiomatic set theory and ends with advanced topics, such as the geometry of cubics, real and p-adic analysis, and the quadratic reciprocity law. The final part covers mathematical logic and offers a brief introduction to model theory and incompleteness.
Taking a formalist approach to the subject, this text shows students how to reconstruct mathematics from language itself. It helps them understand the mathematical discourse needed to advance | 677.169 | 1 |
Prentice Hall Middle School Mathematics Course 1 Grade 6 Know you are effective. Feel confident about the program's strong authorship, proven student success, and wide range of built-in opportunities to assess your child's understanding. Know that you are preparing your child for algebra and beyond by developing their problem solving skills, improving their conceptual understanding, and providing them with the tools they'll need for ongoing success.
The Prentice Hall Mathematics: Courses 1, 2, 3 and Algebra Readiness program provides a combination of rational numbers, patterns, geometry and integers in preparation for one- and two-step equations and inequalities. Guided Problem Solving strategies throughout the text provide children with the tools they need to be effective and independent learners. Activity Labs throughout the text provide hands-on and minds-on experiences to reach all types of learners. This consists of a structured approach to a variety of topics such as ratios, percents, equations, inequalities, geometry, graphing and probability.
Children of all levels benefit from the structured leveled set of exercises in the homework sections. First, each child practices by example. Next, they apply the skills they have learned, and finally, they are challenged with problems that require them to apply concepts on an accelerated level.
The Teacher's Edition provides an instructional plan teaching problem-solving strategies, critical-thinking skills, estimation, mental-math skills, and all basic math concepts and skills. Its design encourages active participation within the context of problem-solving situations, abundant practice to master those skills, and developed models your child will actively work with to solve problems. Real-World applications to the more abstract algebraic concepts are found throughout the text. More than 5 Activity Labs per chapter ensures that each child receives the visual and special instruction necessary to conceptualize these abstract concepts and prepare them for advanced math courses.
Course 1 includes a combination of rational numbers, patterns, geometry and integers in preparation for one- and two-step equations and inequalities.
Course 2 consists of a structured approach to a variety of topics such as ratios, percents, equations, inequalities, geometry, graphing and probability.
Course 3 provides a solid foundation in order to fully prepare students for Algebra 1.
This curriculum has been modified specifically for homeschool families. At times, there may be references to print or digital components that are not included within the homeschool bundle. This will not hinder your child's successful completion of the course.
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We believe learning is the best thing you can do to improve yourself. And like every educator we know, we hope to instill a love of learning in everyone. To help seize a once-in-a-generation opportunity to transform education, we've been transforming ourselves. We're becoming more digital and more capable of improving education across North America and around the world, and we have an unflinching commitment to measurable results. Pearson provides instructional curriculum, services, assessments—and the technology to deliver them. From PreK to higher education and professional learning, we're a global learning company. But we always focus on the individual learner. | 677.169 | 1 |
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Unformatted text preview: The Co-Evolution of Calculators and High School Mathematics Dan Kennedy Baylor School Chattanooga, TN Change makes everyone less comfortable ..but we change because we must. Calculators have changed quite a bit in the last 20 years. And so has high school mathematics. Some people seem to think that pre-college mathematics is timeless. If it was important for our parents, how can it be unimportant today? But technology has been rendering our parents mathematics obsolete for decades. For example, consider log tables. Here is a 1928 College Board mathematics achievement exam. It looks a lot like todays college placement tests. But that is another talk. Notice that problem #7 is from the 1928 version of the Real World. You must find the angle of elevation of a balloon by using logarithms. In the old days (e.g. 1970 ), any good algebra book had a table of 5-place logarithms to solve problems like #7 which was posed in 1928 . log 1613 = log (1.613 10^3) = 3.20763 log 2871 = log (2.781 10^3) = 3.45803 ( 29 = =- 1613 Tan , so log tan 2871 log1613 log 2871-- 3.20763 3.45803 0.25040 = 9.74959 10 So log (tan ) = 9.74959 10. Now we go to a log trig table and look for 9.74959 in the L Tan column. We find some success on the 29 page. Since 9.74959 is two-thirds of the way between 9.74939 and 9.74969, we conclude that = 29 19 ' 40 " But that was then. This is now: And speaking of logarithms And do any surviving Algebra I teachers remember these? Theorem: ( b + c ) + ( c ) = b Statement Reason 1. b and c are real numbers Hypothesis 2. b + c is a real number Axiom of closure for addition 3. c is a real number Axiom of additive inverses 4. ( b + c ) + ( c ) = b + [ c + ( c )] Associative axiom of addition 5. c + c = 0 Axiom of additive inverses 6. b + [ c + ( c )] = b + 0 Substitution principle 7. b + 0 = b Additive axiom of 0 8. b + [ c + ( c )] = b Transitive property of equality 9. ( b + c ) + ( c ) = b Transitive property of equality A sobering thought: There are people walking the streets of your town right now who became convinced years ago that they could not do math -- because they could not do some things that we no longer teach today! And who defines what it means to do math? MATH TEACHERS! This a big difference between the ability to do mathematics and the ability to read! Someone who can read this sentence knows how to read. How about this sentence: Ontogeny recapitulates phylogeny. What does it mean to do mathematics?...
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ALGEBRA 1B Documents
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Axia College Material
Appendix E Radicals
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the
ASSIGNMENT 04
The internal organization of a business is the way in which it is structured to carry out its various
activities. A lot of attention needs to be given to structure. The structure needs to be determined by the
organizations objectives and the
ASSIGNMENT 04
BU340 Financial Management I
Part A: Given the following cash inflow at the end of each year, what is the future value of this cash
flow at 6%, 9%, and 15% interest rates at the end of the seventh year?
Year 1
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Year 3
Years 4 through 6
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I cannot remember what my professor name was, but I know that I really enjoyed the class. My professor taught where one could understand what was going on, and if you ever needed help, the professor was just an email way.
Course highlights:
I learned a lot more about math. It gave me chance to refresh my memory from high school.
Hours per week:
12+ hours
Advice for students:
To be successful in this course, please set up a few hours a week to study. Look at your syllabus the very first day of class and that way you will be able to plan out your coursework. I was always ahead of my classmates because I would plan out everything the very first day of class. | 677.169 | 1 |
A First Course in Stochastic, level, and style of this new edition conform to the tenets set forth in the original preface. The authors continue with their tack of developing simultaneously theory and applications, intertwined so that they refurbish and elucidate each other. The authors have made three main kinds of changes. First, they have enlarged on the topics treated in the first edition. Second, they have added many exercises and problems at the end of each chapter. Third, and most important, they have supplied, in new chapters, broad introductory discussions of several classes of stochastic processes not dealt with in the first edition, notably martingales, renewal and fluctuation phenomena associated with random sums, stationary stochastic processes, and diffusion theory. | 677.169 | 1 |
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Reaching algebra readiness (RAR) preparing middle school students to succeed in algebra-- the gateway to career success
.."@en needs of a student with disabilities. The Reaching Algebra Readiness (RAR) process consists of four components: (1) Diagnostic, assessing student's mastery of the skills needed to take algebra; (2) Prescriptive, developing an individualized plan to address specific math deficiencies; (3) Intervention, utilizing tools and resources (parental involvement, effective teaching strategies, etc), to improve students' mathematics skills; and (4) Drills and Effective Teachings Strategies, mathematics is a discipline and, simply, there is no way of avoiding practice and drilling in reaching algebra readiness, which can be enhanced significantly by implementing proven effective teaching strategies. The Reaching Algebra Readiness (RAR) process and the related materials presented in this book will be revolutionary in helping all students acquire the math skills needed for success in algebra and beyond. This book is a must-guide for math teachers, parents who home school, parents who are looking for solutions, and educators pursuing fundamental education reformsAcademic achievement�lgebra Étude et enseignement (Primairegemeine AlgebraptitudedidactDidactiek van de wació secundària des mathémat secondzie ability Testing EducationPrediction of occupational successciences humaines.
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Sciencesw | 677.169 | 1 |
Resource Added!
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This book is under copyright to A-level Maths Tutor. However, it may be distributed freely provided it is not sold for profit.
Subjects:
Mathematics > General
Mathematics > Geometry
Education Levels:
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geometryThis book is under copyright to A-level Maths Tutor. However, it may be distributed freely provided it is not sold for profit. | 677.169 | 1 |
If you are looking for a quick nuts-and-bolts overview, turn to Schaum's Easy Outlines
"Schaum's Easy Outline of College Mathematics" is a pared-down, simplified, and tightly focused review of the topic. With an emphasis on clarity and brevity, it you quick pointers to the essentials. Expert tips for mastering college mathematics Last-minute essentials to pass the course Easily understood review of college mathematics Supports all the major textbooks for college mathematics courses Appropriate for the following courses: Introduction to Mathematical Modeling, Pre-Calculus, Discrete Mathematics, Trigonometry, College Algebra, Calculus | 677.169 | 1 |
Pre Calculus Vector Task Cards
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
2.67 MB | 10 task cards pages
PRODUCT DESCRIPTION
Pre Calculus Vector Task Cards
In this set of 10 task cards, you will find problems for students to practice working with vectors. Students should be familiar with the topics of: magnitudes of vectors, component form of vectors, word problems with vectors, unit vectors, direction of vectors, addition of vectors, dot product, and the angle between vectors.
Students can scan the QR Code on each task card to check their answers.
I have also included a record sheet for students to show their work and an answer key for those that do not have QR Code capability.
No QR Code capability? No problem, I have included the same 10 task cards with no QR Codes on them if you would rather use them that | 677.169 | 1 |
Exponential Graphing and Developing Exponenital Equations Activity
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0.99 MB | 6 pages
PRODUCT DESCRIPTION
This activity leads the student through finding and graphing exponential functions. The student also actively finds the domain and range of these functions along with identifying exponential growth, decay, varying y-intercepts and stretch. This handout can also be used for scaffold note taking | 677.169 | 1 |
Introduction to Projective Geometry by Clarence Raymond Wylie
Book Description
This lucid introductory text offers both analytic and axiomatic approaches to plane projective geometry. Strong reinforcement for its teachings include detailed examples and numerous theorems, proofs, and exercises, plus answers to all odd-numbered problems. In addition to its value to students, this volume provides an excellent reference for professionals. 1970 edition.
Author Biography - Clarence Raymond Wylie
C. R. Wylie was an instructor at the University of Utah. A Dover Original Clarence Raymond Wylie, Jr., had a long career as a writer of mathematics and engineering textbooks. His Advanced Engineering Mathematics was the standard text in that field starting in the 1950s and for many decades thereafter. He also wrote widely used textbooks on geometry directed at students preparing to become secondary school teachers, which also serve as very useful reviews for college undergraduates even today. Dover reprinted two of these books in recent years, Introduction to Projective Geometry in 2008 and Foundations of Geometry in 2009. The author is important to our program for another reason, as well. In 1957, when Dover was publishing very few original books of any kind, we published Wylie's original manuscript 101 Puzzles in Thought and Logic. The book is still going strong after 55 years, and the gap between its first appearance in 1957 and Introduction to Projective Geometry in 2008 may be the longest period of time between the publication of two books by the same author in the history of the Dover mathematics program. Wylie's 1957 book launched the Dover category of intriguing logic puzzles, which has seen the appearance of many books by some of the most popular authors in the field including Martin Gardner and, more recently, Raymond Smullyan. Here's a quick one from 101 Puzzles in Thought and Logic: If it takes twice as long for a passenger train to pass a freight train after it first overtakes it as it takes the two trains to pass when going in opposite directions, how many times faster than the freight train is the passenger train? Answer: The passenger train is three times as fast as the freight train | 677.169 | 1 |
About
Overview
This text makes math fun, approachable, and applicable in everyday life. The authors provide algebraic modeling concepts and solutions in non-threatening, easy-to-understand language with numerous step-by-step examples to illustrate ideas. Whether they are going on to study early childhood education, graphic arts, automotive technologies, criminal justice, or something else, students will discover that the practical applications of mathematical modeling will continue to be useful well after they have finished this course.
Extensive problem sets appear at the end of each section. The student answer key provides answers for the Chapter Reviews, Chapter Tests, and odd-numbered section exercises.
The chapter summary includes all important terms, equations and concepts in one page.
The Instructor's Resource Manual with Solutions contains resources designed to streamline and maximize the effectiveness of your course preparation. It includes worked solutions to all of the answers in the text and a test bank with five test forms per chapter. The tests are also available online. For instructors only.
Create, deliver, and customize tests and study guides (both print and online) in minutes with this easy-to-use assessment and tutorial system, which contains all questions from the Test Bank in electronic format.
The Instructor's Resource Manual contains resources designed to streamline and maximize the effectiveness of your course preparation. It includes a test bank with five test forms per chapter, along with the test answers. The tests are also available online. For instructors only.
Multimedia Manager
(ISBN-10: 0495018848 | ISBN-13: 9780495018841)
The multi-media manager contains all the figures and illustrations from the text as PowerPoint slides and as jpeg files.
Student Supplements
Student Workbook
(ISBN-10: 049501883X | ISBN-13: 9780495018834)
List Price = $57.95
| College Bookstore Wholesale Price = $43.50
Meet the Author
Author Bio
Daniel L. Timmons
Daniel L. Timmons is an Instructor of Physics and Mathematics at Alamance Community College.
Daniel L. Timmons is an Instructor of Physics and Mathematics at Alamance Community College.
Catherine W. Johnson
CathCatherine W. Johnson is Associate Dean of Arts and Science at Alamance Community College.
CathCatherine W. Johnson is Associate Dean of Arts and Science at Alamance Community College.
Sonya M. McCook
Sonya M. McCook is Instructor of Mathematics at Alamance Community College. She taught high school in North Carolina extensively before moving to the community college system.
Sonya M. McCook is Instructor of Mathematics at Alamance Community College. She taught high school in North Carolina extensively before moving to the community college system. | 677.169 | 1 |
Product Description
A comprehensive teacher resource for middle level math that includes hands-on activities which promote an investigative approach, helping students arrive at a deeper understanding of geometric concepts. Includes teacher's notes, solutions, and glossary. 48 pages. Grades 6-10. | 677.169 | 1 |
Synopsis
Framework Maths: Year 7 Support Students' Book by David Capewell, et al.
Framework Maths is a brand new course designed to match the pitch, pace and progression of the Framework for Teaching Mathematics at Key Stage 3. This Students' Book is written for the Support tier in Year 7, and is suitable for students working below but towards the Framework objectives. The book comprises units organised clearly into inspiring full-colour spreads. Each unit offers: BLPrior learning points identified at the start so that revision is a continual process BLLearning objectives identified so it is clear what students need to know BLPlenty of practice with questions pitched at the level suggested in the Framework BLSummaries and review questions to help students gain responsibility for their learning Framework Maths comprises a Students' Book and a Teacher's Book for each year of Key Stage 3, at three tiers of ability: Support, Core and Extension. There is also a CD-ROM for each year, containing assessment and further resources. | 677.169 | 1 |
Introducing the formulas for geometric problem-solving before learners have a good understanding of just what is entailed can be risky. Formulas are more abstract than some learners are ready for. When possible, methods that allow learners to discover the formula are less foreign and allow more time for learners to work with the problems. More time working with an intuited formula not only helps learners understand how the formula is derived, but under pressure, when the learner may forget the official formula, they may also be able to recreate it based on the foundational knowledge gained through discovery | 677.169 | 1 |
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Unformatted text preview: Lecture Note 1: Jan 15 L INEAR E QUATIONS AND M ATRICES 1. Linear Systems 2. Matrices 3. Dot Product and Matrix Multiplication 4. Properties of Matrix Operations 5. Solutions of Linear Systems of Equations 6. The Inverse of A Matrix 7. LU-Factorization LINEAR EQUATIONS AND MATRICES 2 P ROPERTIES OF M ATRIX O PERATIONS 1. Properties of Matrix Addition 2. Properties of Matrix Multiplication • Definition of Identity Matrix • Power of A Matrix 3. Properties of Scalar Multiplication 4. Properties of Transpose • Definition of Symmetric Matrix PROPERTIES OF MATRIX OPERATIONS 3 D EFINITION OF S YMMETRIC M ATRIX DEFINITION OF SYMMETRIC MATRIX - A matrix A = [ a ij ] with real entries is called symmetric if A T = A. That is, A is symmetric if it is a square matrix for which a ij = a ji (Exercise). If matrix A is symmetric, then the elements of A are symmetric with respect to the main diagonal A . DEFINITION OF SYMMETRIC MATRIX 4 Example 1 The matrices A = 1 2 3 2 4 5 3 5 6 and I 3 = 1 0 0 0 1 0 0 0 1 are symmetric. DEFINITION OF SYMMETRIC MATRIX 5 S OLUTIONS OF L INEAR S YSTEMS OF E QUATIONS SOLUTIONS OF LINEAR SYSTEMS OF EQUATIONS 6 Our ultimate goal is to study: 1. Solving linear system (a) Gauss-Jordan reduction- reduced row echelon method + elementary row operations (b) Gaussian elimination- row echelon method + elementary row operations + back substitution (c) Consistent/Inconsisent system i. If there is at least one solution, it is called consistent . ii. A system of equations that has no solutions is said to be inconsistent . 2. Homogeneous system (a) trivial solution (b) nontrivial solution SOLUTIONS OF LINEAR SYSTEMS OF EQUATIONS 7 DEFINITION - An m × n matrix A is said to be in reduced row echelon form if it satisfies the following properties: (a) All zero rows, if there are any, appear at the bottom of the matrix. (b) The first nonzero entry from the left of a nonzero row is a 1 . This entry is called a leading one of its row. (c) For each nonzero row, the leading one appears to the right and below any leading one's in preceding rows. (d) If a column contains a leading one, then all other entries in that column are zero. Note that a matrix in reduced row echelon form appears as a staircase ("echelon") pattern of leading ones descending from the upper left corner of the matrix. An m × n matrix satisfying properties (a) , (b) and (c) is said to be in row echelon form . Example 2 The following are matrices in reduced row echelon form since they satisfy properties (a), (b), (c) and (d): A = 1 1 1 1 , B = 1 0 0 0- 2 4 0 1 0 0 4 8 0 0 0 1 7- 2 0 0 0 0 0 0 0 0...
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New York State Education Dept., Albany. Bureau of General Education Curriculum Development.; State Univ. of New York, Albany.
This outline is for a pre-algebra course designed to prepare students for algebra or to satisfy a one-year mathematics requirement. A key purpose is to present a practical mathematical experience. A detailed outline is given with a suggested time allotment for each chapter. A discussion of each topic follows with teaching suggestions and examples. The chapters are partitioned as basic units and supplementary units. Topics in the basic units include: integers; rational numbers; graphing; measurement of geometric figures; ratio, proportion, and percent; probability and statistics; and consumer and job-related mathematics. Supplementary units include: informal geometry; recreational mathematics; flow charts and calculators; volumes of geometric solids; and mathematical reasoning. (MP) | 677.169 | 1 |
The Connected Curriculum Project - Overview and Philosophy of the CCP Materials
CCP is a collection of learning materials primarily for lower-division undergraduate mathematics. Each CCP learning unit uses at least some of these powerful tools:
hypertext links,
Java applets,
sophisticated graphics,
a computer algebra system,
realistic scenarios,
thought-provoking questions that require written answers,
summary questions that enable students to see the forest as well as the trees.
Our purpose is to challenge students to engage with important mathematical concepts in meaningful contexts -- to experiment, to conjecture, to test their ideas, (sometimes) to discover relationships, to check their work until they are convinced that it makes sense. In particular, we do not (in general) provide answers -- rather we provide tools by which students can decide for themselves whether their answers are correct.
Most of our experiences using the CCP materials have been in interactive classroom environments -- a setting in which students begin the work under the eye of the instructor. However, the materials can also be used wherever students have access to the Internet on a computer with one of our supported computer algebra systems.
One of us has recently published an article on the interactive classroom environment in which we currently use the CCP materials. The article also links design features of the materials to recent research on teaching and learning.
There are many tools available for creating interactive learning environments -- and hence many ways to do the same thing. Our principle for deciding whether to create the interaction in a web page (with a Java applet, say) or in the CAS worksheet is this: If we don't need to give the student total control over the interaction -- if we can get the job done from a menu of possibilities, say -- then we do it in the web page, and it doesn't matter which CAS is preferred or available. (A few modules are entirely in web pages and don't need a CAS at all.) But if we want to go beyond the limitations of applets and let students explore in directions we have not completely prescribed, then the CAS environment, guided by a web-based common set of instructions, gives us and the students the freedom and flexibility to do this. A side benefit of this approach is that students learn to work with a modern general-purpose calculational tool. This capability will always be a part of their working environment. We discuss our uses of CAS at greater length in Section 4.
Most of the CCP units are modules, that is, single-topic units that can be used for a two-hour lab, or for a shorter supervised period with follow-up on the student's own time, or for self-study. Most of our modules are class-tested with students working in two-person teams in a lab environment. Some modules use an application to stimulate learning of mathematics, and others go straight to the mathematics.
CCP also contains two projects (and more to come), longer units that may be completed by small groups of students over a period of one or more weeks. Each project involves a significant application of mathematics and is intended to demonstrate the process by which mathematics is used by working scientists and engineers.
The site has additional resources for teachers and developers. The teacher resources will be described in a later section of this article. An important resource for developers is the textbook Design Principles for Interactive Texts, by Julie Jacobs and William Mueller, which we will not discuss here.
The modules -- approximately 100 in number -- that make up the majority of the learning materials at the Duke site were developed for use in undergraduate mathematics courses including
Each module consists of several HTML pages containing discussion and guidance for exploring a topic, generally using Java and/or a computer algebra system. Nearly all modules have downloadable worksheets currently available for Maple, Mathematica, and Matlab, and some also have Mathcad worksheets.
In addition to the undergraduate materials, there is a collection of modules designed specifically for a guided or independent study course for high school students who have completed a year of calculus. These modules are part of the Post CALC Project.
David Smith and Lang Moore, "The Connected Curriculum Project - Overview and Philosophy of the CCP Materials," Convergence (January 2005) | 677.169 | 1 |
Major objective of this lecture is to present on Factoring. Here focus Factoring in terms of mathematics. A "quadratic" is a polynomial that looks like "ax2 + bx + c", where "a", "b", and "c" are just numbers. For the easy case of factoring, you will find two numbers that will not only multiply to equal the constant term "c", but also add up to equal "b", the coefficient on the x-term. A factor is essentially a funding source that agrees to pay the company the value of the invoice less a discount for commission and feesSlope is simply the change in the vertical distance over the change in the horizontal distance. Slope basically describes the steepness of a line. In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. If a line goes up fromBasic objective of this lecture is to present on Mathematical Explanation of Rational Exponents. Here briefly focus on about expressions with rational exponents like x^(2/3), about radical expressions like √(2t^5), and about the relationship between these two forms of representation. Here also..... | 677.169 | 1 |
Mathomatic Mathomatic is an algebra calculator that can automatically solve, simplify, manipulate, and calculate mathematical formulas with many variables. Expressions and equations are entered in standard algebraic notation by typing, pasting, or reading them in. Op
Calcul Calcul will help your elementary school students practice mental arithmetic or to do fractions. Choose addition, subtraction, multiplication, division or fractions; then set the range of numbers and the number of calculations for an exercise. The program sOddOrEven OddOrEven is a simple math's tutor to teach your child the difference between odd and even numbers. OddOrEven keeps a running score of how many questions has been asked, the number and percentage of the correct answers. OddOrEven also keeps a history list
Plasma Plasma is an open source plotter that plots functions, vector fields, and parametric curves in 2D and 3D. A minimalistic console interface is used to enter plot expressions in a syntax similar to that of Mathematica. By including the variable t in the plot
Bergmans IQ Test An IQ test similar to Mensa's IQ test. The only online IQ test with problem types and test procedure similar to Mensa's IQ test. It has shown that a person who takes the IQ test for Mensa admission twice often has a better result at the second time. Up to | 677.169 | 1 |
PRODUCT DESCRIPTION
Common Core:
A-REI.3 Solve linear equations and inequalities in one variable, including
equations with coefficients represented by letters.
Keystone (PA):
A1.1.2.1.1.Write, solve, and/or apply a linear equation (including problem situations).
A1.1.2.1.2. Use and/or identify an algebraic property to justify any step in an equation-solving process.
A1.1.2.1.3. Interpret solutions to problems in the context of the problem situation.
The outcome is delivered in two lessons. Each lesson may include the following features:
• PowerPoint presentation
• Notes Guide for students
• Each Notes Guide comes in two versions.
o The first version is the "regular" one.
o The second version has a QR code that leads the students to a pencast that I created. The students can listen and watch the pencast to work ahead, as a review, or to get any notes they missed while absent.
Pencasts:
The pencasts are a "video" of my notes and instruction. There are various ways that you could use the pencasts.
You and the students can watch and listen to the pencasts together while filling in the accompanying notes guide.
You can post the pencasts to a class website for your students to work ahead before you begin the lesson, or to listen to after the lesson in the case they need to hear another time, or for students who were absent from class.
These pencasts are great for days when you aren't in you classroom and have a substitute teacher.
Additional Items:
• Skills sheet for students. The skills sheets lists the skills the students will need to be proficient in this outcome.
• Problem Experts Activity
• Exit Tickets
• Group Work
• Two Versions of the Assessment
• Two Versions of High Performance Questions
• Practice Problems for Reassessment
This Outcome was developed with Standards-Based Grading (SBG) in mind, but it can also be used for traditional grading systems.
When you purchase and download this item, you will be given a link to box.com where you can download each file. You do not need to create an account to receive these files. All files are individual to make it easier to organize. There are a total of 18 unique files (some are both word and PDF).The files are numbered in the order that I used them | 677.169 | 1 |
BUYER OFFERS: We are a retail store with set pricing and unfortunately we can't fulfil any requests to sell items for less than the listed price.
Description: Gamma Mathematics Workbook has been completely updated to reflect the current requirements of Mathematics and Statistics in the New Zealand Curriculum. It contains a huge array of exercises that are linked to the corresponding Gamma Mathematics. This makes it easy for teachers to choose, and students to remember, homework, extra practice and revision exercises that match what has been done in class. In order to provide a comprehensive package that covers all thirteen Achievement Standards, Gamma Mathematics Workbook is complemented by Gamma Fundamentals Workbook. This workbook can be used alongside any textbook, and contains the worked examples, content summaries, and real-world, in-context problems, investigations and puzzles that David Barton is famous for -encouraging all students to gain and demonstrate a thorough understanding of mathematical concepts at NCEA Level 1. The CD contains spreadsheets that include all data sets referred to in Gamma Mathematics, Gamma Mathematics Workbook, Gamma Fundamentals and Gamma Fundamentals Workbook, and answers to activities where technology would be helpful. There are also worked examples from Gamma Mathematics and Gamma Fundamentals so students can read additional explanations | 677.169 | 1 |
French by Research & Education Association
Book Description
This is the essential aide memoire. Founded over 50-years ago, REA is dedicated to producing the finest and most effective digital and print materials in educational publishing. Each in-depth topic review is easy-to-follow and easy to grasp. Review questions after each topic highlight and reinforce key areas and concepts. It presents student-friendly language for easy reading and comprehension. It includes quizzes that test your understanding. It is packed with in-depth, student-friendly topic reviews that fully explain everything about the subject. The "French Super Review" includes: the sounds of French; cognates; numbers; nouns and articles; adjectives; pronouns; verbs; adverbs; prepositions and conjunctions; basic idiomatic expressions; and a useful vocabulary words.
Buy French book by Research & Education Association from Australia's Online Bookstore, Boomerang Books.
Featuring quizzes that test your understanding, this title includes: Vectors and scalars; Plane motion; Dynamics of a particle; Work and energy; Conservation of energy; Dynamics of systems and particles; Rotational kinematics and dynamics; Advanced topics, and more.
A primer to the branch of maths concerned with questions of shape, size, relative position of figures, and the properties of space. It fully explains everything about the subject, including: a review of the methods of proof, points, lines, planes, angles, triangles, quadrilaterals, geometric inequalities, and geometric proportions and similarity | 677.169 | 1 |
About this product
Description
Description
Mathematics for Dyslexics: Including Dyscalculia, 3rd Edition discusses the factors that contribute to the potential difficulties many dyslexic learners may have with mathematics, and suggests ways of addressing these difficulties. The first chapters consider the theoretical background. The later chapters look at practical methods, which may help dyslexic learners. The book is designed to be comprehensive and to help teachers, support assistants, and parents understand the learner and to learn a range of skills and thus develop confidence and competence in working with dyslexic pupils.
Author Biography
Dr Chinn is an internationally recognised authority on both mathematics and dyslexia. Apart from his general work on dyslexia as exemplified in Mark College, his specific expertise in mathematics is widely known and appreciated. | 677.169 | 1 |
Create a new approach to explaining the math and logic fundamentals required in the information technology industry. Practical Problems in Mathematics for Information Technology is an exciting new resource for building a solid foundation in the mathematical skills that are used in a number of areas, such as networking, systems administration, programming, database management, web programming, and computer repair. By presenting examples, problems, and exercises that are taken directly from these concentration areas, readers will not only build their mathematical know-how, but they will achieve the added benefit of being fully prepared for the types of challenges they are likely to encounter on the job. Real-world examples from the industry are included throughout this new bookeResource
(ISBN-10: 1428322019 | ISBN-13: 9781428322011)
Meet the Author
Author Bio
Todd Verge | 677.169 | 1 |
Survey of mathematicsvey of mathematics is the name used for some elective mathematics classes at the high school level or courses for non-majors in college. It typically covers a wide array of topics that are accessible to non-specialists, such as elementary introductions to the following areas: | 677.169 | 1 |
Mathematics
Motivating readers by making maths easier to learn, this work includes complete past exam papers and student-friendly worked solutions which build up to practice questions, for all round exam preparation...
Motivating readers by making maths easier to learn, this work includes complete past exam papers and student-friendly worked solutions which build up to practice questions, for all round exam preparation...
There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture. This book explains why these problems exist, why they matter, what... | 677.169 | 1 |
The graduate record examination (GRE®) math test includes a question set that measures candidates' skills in elementary to advanced algebra, data analysis, and calculus. Many undergraduate college students take this test for graduate school admission if they plan to pursue advanced degrees in areas such as mathematics, physics, computer science, or engineering. Graduate school admissions committees often closely examine GRE® math test scores to determine applicants' potential for success in these fields of study at a higher level. The GRE® math section contains questions that are designed to measure students' abilities to solve problems beginning at the high school level and ending at the college senior undergraduate level.
GRE® mathematics tests measure candidates' understanding of fundamental concepts as well as their ability to apply these concepts to different kinds of problems. Although some students score well in their college mathematics courses, they often find that a thorough review is necessary when some time has passed between these classes and their scheduled exam date. The GRE® math test is a subject-specific exam, not to be confused with the quantitative reasoning section on the GRE® general test.
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The algebra questions on the GRE® math test generally begin with elementary problems that cover topics such as the order of operations, the use of exponents, and correct polynomial manipulation. Linear algebra problems test candidates' understanding of matrices, vectors, and systems of equations. Abstract algebra topics on this GRE® test usually include questions on module and ring theories. The GRE® math section on algebra can also include various problems on number theory.
Elementary calculus makes up approximately 50% of the GRE® math test. These problems usually test knowledge of integral and differential equations as well as advanced applications of calculus to trigonometry and geometry. This subject matter typically follows the curriculum taught in a first-year college calculus course. Many graduate school applicants find that additional coursework or tutoring sessions in calculus can help their GRE® math scores.
In addition to algebra and calculus problems, a portion of the GRE® math test can cover various topics such as analytic geometry, probability, statistical analysis, and applications of topology. These questions can sometimes change from one year to the next as the GRE® test writers see fit. New mathematics material can often be added according to trends in student scores. Periodic revisions are often considered necessary for the exam to measure advanced mathematics scores across an accurate range | 677.169 | 1 |
Fit2Go supports exploration and modeling activities. It supports data collection by proposing a model that can appropriately describe the user's data. The tool highlights the numeric aspects of a phenomenon. Together, Sketch2Go and Fit2Go provide a comprehensive view of models and modeling.
Fit2Go is suited for building a conceptual understanding of mathematical facts that are usually known only as "rules of thumb." Everyone knows that two points define a line. Fewer would know that three points define a parabola. High school students can prove it either in their algebra course by solving a system of equations or in their analytic geometry studies by implementing the geometric properties of the parabola. Fit2Go provides a wide repertoire of choices that fit given sets or subsets of data, and elicits questions and conjectures that can lead to formal solutions and proofs.
Features
Fit2Go is a linear and quadratic function graphing tool and curve fitter. Students can view a phenomenon, identify variables, conduct experiments, and take measurements in order to construct models of the phenomena. Fit2Go offers linear or quadratic models by presenting graphs and expressions of functions that can fit the data. Fit2Go provides an easy visual way of enter the data by dynamically viewing the point and reading its values. After choosing the type of model (an important decision that should be made by the user rather than automatically interpreted by the tool), Fit2Go presents a specific line (if only two data points are marked) or a specific quadratic function (if three points are marked). Interesting cases occur when too many or too few points are marked. Fit2Go does not attempt to fit a model to all points by interpolation. Rather, it randomly plots optional curves that fit a subset of the marked points and allows the user to alternate between the random options. If there are too few constrains, Fit2Go graphs a family of graphs, which it alternates according to the user requests.
Suggested Activities
Construct a function with a given values-table
a value table is given:
Start by graphing the points on paper. Chart and write down the expression of the function you conjecture would best fit the points.
Enter the order pairs as points into Fit2Go
Click on the points to which you wish to fit your model and choose a family that you think is a good candidate for fitting the points you have selected.
Find relationships between the height of a ramp and the time it takes a skateboard to travel the length of the ramp
If possible, let the students set up an experiment and take measurements. Assume a specific constant length of the board. If it cannot be done, use some data sets that could fit such an experiment
Consider what happens to the run time when the board becomes flatter. Or higher. Could the runtime be zero? Could it be a linear model? | 677.169 | 1 |
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