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This course is a review of Basic Arithmetic skills that serve as a prerequisite for placement into and success in pre-college and college-level algebra courses. In this course, primary emphasis will be placed on fundamental operations with whole numbers, fractions, decimals, and integers. | 677.169 | 1 |
In this text, we will provide skills for you to enhance your learning experience. Many of the Practice Exercises will begin with an activity that focuses on one of the following areas: learning about your course, using your text, taking notes, doing homework, and taking an exam. In subsequent chapters we will insert skills pertaining to the specific material in the chapter. Each activity requires only a few minutes and will help you pass this class and become a better math student.
To begin, write down the following information.
a. Instructor's name
b.Days of the week that the class meets
c. The room number in which the class meets
d.Is there a lab requirement for this course?If so, what is the requirement and what is the location of the lab? | 677.169 | 1 |
Synopsis
This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The local aspect, global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject | 677.169 | 1 |
The History of Modern Mathematics, Volume I: Ideas and their Reception documents the proceedings of the Symposium on the History of Modern Mathematics held at Vassar College in Poughkeepsie, New York on June 20-24, 1989. This book is concerned with the emergence and reception of major ideas in fields that range from foundations and set theory, algebra... more...
Lectures in General Algebra is a translation from the Russian and is based on lectures on specialized courses in general algebra at Moscow University. The book starts with the basics of algebra. The text briefly describes the theory of sets, binary relations, equivalence relations, partial ordering, minimum condition, and theorems equivalent to the... more...
Modern Syllabus Algebra presents topics of traditional and modern algebra found in the Teachers Certificate and B.Ed, part I syllabuses of University Institutes of Education. It also contains additional exercises taken from examination papers of the University of London Institute of Education (the Teachers' Certificate). The book discusses several... more...
Some Modern Mathematics for Physicists and Other Outsiders: An Introduction to Algebra, Topology, and Functional Analysis, Volume 1 focuses on the operations, principles, methodologies, and approaches employed in algebra, topology, and functional analysis. The publication first offers information on sets, maps, and algebraic composition laws and... more...
Intermediate Algebra, Third Edition focuses on operations, principles, and approaches involved in intermediate algebra. The manuscript first ponders on basic properties and definitions, linear equations and inequalities in one variable, and exponents and polynomials. Discussions focus on factoring trinomials, special factoring, solving equations... more...
Intermediate Algebra with Trigonometry focuses on principles, operations, and approaches employed in intermediate algebra with trigonometry. The publication first elaborates on basic properties and definitions, first-degree equations and inequalities, and exponents and polynomials. Discussions focus on polynomials, sums, and differences, multiplication... more...
Intermediate Algebra: A Text/Workbook, Second Edition focuses on the principles, operations, and approaches involved in intermediate algebra. The publication first takes a look at basic properties and definitions, first-degree equations and inequalities, and exponents and polynomials. Discussions focus on properties of exponents, polynomials, sums,... more...
Algebra Review serves as a background supplement to Howard Anton and Bernard Kolman?s books on finite mathematics-Applied Finite Mathematics and Applied Finite Mathematics with Calculus. This book discusses the number systems of algebra, algebraic notation, exponents and radicals, and fractional exponents. The polynomials and factoring, binomial theorem,... more... | 677.169 | 1 |
IDEA: Internet Differential Equations Activities
IDEA is Internet Differential Equations Activities, an interdisciplinary effort to provide students and teachers around the world with computer based activities for differential equations in a wide variety of disciplines. IDEA is sponsored by the National Science Foundation with a grant from the Division of Undergraduate Education.
The Idea behind IDEA
As with every site on the Web, IDEA is evolving.
IDEA contains a database of computer activities illustrating
both mathematical concepts and the application of these concepts
in a wide variety of disciplines. The aim is to show differential
equations where they live, rather than in a purely mathematical setting.
In addition to the exercises, it provides a variety of software for
solving and describing differential equations. These packages include
DynaSys, a package for Microsoft
operating system that can be used in a very flexible way to create
displays of solutions of differential equations;
Java software that may be used over
the Web to develop your own activities,
or to work on the ones presented here; and Flash components that
again may be used to develop differential equations activities.
With the advent of HTML5, Javascript is now ready for prime time
for mathematical applications. There are
new Javascript demos
illustrating how we might use interactive web objects to
help students learn Calculus. | 677.169 | 1 |
Search Results
This applet, created Philip B. Stark of the University of California, Berkeley, lets you study the relationship between pairs of variables using scatterplots, the correlation coefficient, the graph of averages, linear...
This site, created by Michelle Lacey of Yale University, gives a definition and an example of normal distributions. Topics include assessing normality and normal probability plots. The author thoughtfully combines her...
This excellent site, from LessonCorner, helps educators create customized math worksheets for students of all levels. Creating worksheets is free, and visitors can also name them what they wish and print them to...
André Heck is a project manager at the Faculty of Science of the Universiteit van Amsterdam, and he recently contributed this thoughtful article to the "Loci" project at the Mathematical Sciences Digital Library. In ...
Created for the Connected Curriculum Project, the purpose of this module is to learn the basics of Mathematica for use with the differential equations modules. This is one lesson within a larger set of learning modules... | 677.169 | 1 |
Mathematics for Computer Science
A basic introduction to Calculus and Linear Algebra. The goal is
to make students mathematically literate in preparation for studying a
scientific/engineering discipline. The first week covers differential
calculus: graphing functions, limits, derivatives, and applying
differentiation to real-world problems, such as maximization and rates
of change. The second week covers integral calculus: sums,
integration, areas under curves and computing volumes. This is not
meant to be a comprehensive calculus course, but rather an
introduction to the fundamental concepts. The third and fourth weeks
introduce some basic linear algebra: vector spaces, linear
transformations, matrices, matrix operations, and diagonalization. The
emphasis will be on using the results, not on their proofs. | 677.169 | 1 |
Concise Complex Analysis
9789810243784
ISBN:
9810243782
Publisher: World Scientific Publishing Company, Incorporated
Summary: This is a concise textbook of complex analysis for undergraduate and graduate students. It has been written from the viewpoint of modern mathematics -- the equation, differential geometry, Lie groups, etc. It contains all the traditional material on complex analysis, but many statements and proofs of classical theorems in complex analysis have been made simpler, shorter and more elegant due to modern mathematical ide...as and methods. For example, the Mittag-Leffler theorem is proved by the equation, the Picard theorem is proved using the methods of differential geometry, and so on.[read more] | 677.169 | 1 |
Pearson Debuts Interactive NovaNET Geometry
Pearson has launched a new online geometry course for its NovaNET 15.0 service targeted toward students in grades 6 through 12 and adult education.
Person's NovaNET is an online, standards-based courseware system designed for middle- and high-school students. Aligned to the 2007 Prentice Hall Geometry textbook, the new NovaNET Geometry course includes 77 multimedia lessons and includes instructional strategies for each. Additional features include:
Interactive practices;
Feedback and remediation;
Ongoing, formative and summative assessments for each lesson; and
Support for special needs students, including struggling readers.
According to Pearson, the previous geometry course remains available, but the new version is designed for split-semester geometry schedules divided into Geometry A and B | 677.169 | 1 |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for). | 677.169 | 1 |
As a result of your efforts in this course, you should strengthen
your skills in:
Critical and Creative Thinking
Problem Solving
Communication
Questioning, Problem Posing, and Conjecturing
Working Collaboratively
Central
Theme
The
central theme to this course concerns the various ways we can construct
a function that satisfies certain prescribed conditions. An example, which
is a little beyond the scope of the course, is the problem of constructing
an automobile profile (the profile is the function) subject to constraints involving wind drag, style,
roominess, etc. An example that you've seen before is to construct a function
whose derivative function is sin x and which also has the value 3 when
x is 0. A tool that we'll use over and over in Calculus II are ideas
of "infinity." For example, we'll
try to add up an infinite number of numbers, evaluate an improper integral
whose upper limit of integration is infinity, divide an interval into an
infinite number of parts, talk about a sequence approaching infinity, express
a function as a sum of infinitely many "simpler" functions, and
even say that the sum of a series equals infinity.
Chapters/Topics
Chapter
11.1 - 11.7 Infinite Sequences and Series
Chapter
5 Selected Topics concerning the Definite Integral & Fundamental Theorem
of Calculus, with emphasis on the definition of integral as a limit of Riemann Sums and the Substitution Rule
Chapter
7 Selected Techniques of Integration, including Integration by Parts and the Method of Partial Fractions | 677.169 | 1 |
The theory of complex manifolds overlaps with several branches of mathematics, including differential geometry, algebraic geometry, several complex variables, global analysis, topology, algebraic number theory, and mathematical physics. Complex manifolds provide a rich class of geometric objects, for example the (common) zero locus of any generic set of complex polynomials is always a complex manifold. Yet complex manifolds behave differently than generic smooth manifolds; they are more coherent and fragile. The rich yet restrictive character of complex manifolds makes them a special and interesting object of study.
This book is a self-contained graduate textbook that discusses the differential geometric aspects of complex manifolds. The first part contains standard materials from general topology, differentiable manifolds, and basic Riemannian geometry. The second part discusses complex manifolds and analytic varieties, sheaves and holomorphic vector bundles, and gives a brief account of the surface classification theory, providing readers with some concrete examples of complex manifolds. The last part is the main purpose of the book; in it, the author discusses metrics, connections, curvature, and the various roles they play in the study of complex manifolds. A significant amount of exercises are provided to enhance student comprehension and practical experience.
Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.
Readership
Graduate students and research mathematicians interested in differential geometry.
Reviews
"Considering the vast amount of material covered and part of the material once used in summer school ... the presentation is precise and lucid ... If one has some background or previous exposure to some of the material in the book, studying this book would be really enjoyable and one could learn a lot from it. It is also a very good reference book." | 677.169 | 1 |
Course Information
Seeing Math™: Systems of Linear Equations
Course Description:
Uncover each step in the solution process as you learn ways to help your students master the skills they need to answer questions like these: "What does it mean to solve a system of linear equations?" and "What do all of the procedures used to solve such systems have in common?"
Note: This is a facilitated course. Learners submit coursework and
participate in asynchronous discussions throughout the course term, and
receive graded feedback.
The number of hours identified for each course reflects time spent online, but does not
reflect the total time spent completing offline coursework and assignments. All learners
are different and you will likely spend double the indicated number of hours completing all
coursework depending on your learning style and work habits.
Graduate Credit Information:
Graduate credit may be obtained from the provider(s) listed below, for an additional fee after the course begins. | 677.169 | 1 |
Search Results
This geometry lesson from Illuminations introduces a hands-on learning activity for students in grades 9-12. The class will use pasta to create models of triangles. They will examine the relationship between sides and...
This geometry lesson from Illuminations aids students in the transition from using two-column proofs to paragraph-style proofs. The material helps students to understand proofs as chains of statements, and learn to...
This course, authored by Denis Auroux of Massachusetts Institute of Technology, covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices...
This graduate-level course, created by Gilbert Strang of the Massachusetts Institute of Technology, is a continuation of Computational Science and Engineering I. Topics include numerical methods; initial-value problems;...
This math unit from Illuminations includes two lessons which help to teach the Law of Sines and the Law of Cosines. The first lesson asks students to use right triangle trigonometry to develop the law of sines. The... | 677.169 | 1 |
398989
ISBN: 0534398987
Edition: 2
Publication Date: 2005
Publisher: Thomson Learning
AUTHOR
Scheinerman, Edward R.
SUMMARY
With a wealth of learning aids and a clear presentation, this book teaches students not only how to write proofs, but how to think clearly and present cases logically beyond this course. All the material is directly applicable to computer science and engineering, but it is presented from a mathematician's perspective.Scheinerman, Edward R. is the author of 'Mathematics A Discrete Introduction', published 2005 under ISBN 9780534398989 and ISBN 0534398987 | 677.169 | 1 |
At Denison, you will initially continue your high school Calculus education, but you will quickly be exposed to some of the more fascinating questions that really excite mathematicians. Mathematics is the study of abstraction. Mathematicians search for similar patterns in seemingly different settings and then strive to communicate those patterns precisely. Mathematics is a creative process, not a mechanical one.
Departmental Guidelines and Goals
The study of mathematics is a challenging and exciting activity that sharpens logical reasoning and improves problem solving ability. The curriculum is designed so that students can apply these skills to analyze both real-world quantitative questions and fascinating theoretical puzzles.
Students interested in mathematics should take 123-124 followed by 231 and 210 by the end of the sophomore year. It is recommended that Mathematics students take CS 109, 110, 111 or 112 and MATH 232 by the end of their sophomore year.
Most upper level mathematics electives fall into two categories. Foundations courses focus on teaching abstract reasoning and the reading, creation, and writing of, rigorous proofs in the study of the foundational structures of mathematics. Currently these courses are MATH 321, 322, 331, and 332. Applied courses, while not devoid of proofs, include a significant study of how mathematical techniques can be used to model and analyze real world problems. Currently, we regularly offer MATH 334, 337, 341, and 357 as applied courses. Other courses, such as MATH 361-362, MATH 363-364, or MATH 400, have variable topics.
Denison offers several research opportunities, including funding for summer projects. Interested students should consult a faculty member as early as possible in the fall semester.
Non-major/minor students interested in taking a mathematics course should consider Math 102 or 122.
Mathematics Minor
The minimum requirements for a mathematics minor are MATH 124, 210, 231, 232 and an elective that must be CS 109, 110, 111, or 112, or any 200 or 300-level math elective (excluding 361-362 and 363-364).
Computational Science Concentration
Computational Science is the field of study concerned with constructing mathematical models and numerical solution techniques, and using computer algorithms and simulation to analyze and solve scientific, social scientific, and engineering problems. The Computational Science concentration consists of: four core courses (MATH 124, 231, CS 109, 110, 111, or 112, and CS 173), and an additional course at the 200-level or above. This additional course, which may be in another department, must have a strong and persistent mathematical modeling or computing component and must be pre-approved by the Mathematics and Computer Science department. In addition, the student must take a two (2) semester sequence of courses in another a department other than Mathematics and Computer Science. A written plan for completing the concentration must be approved by the Mathematics and Computer Science department prior to enrollment in the elective course. In particular, the elective course and cognate requirements above must be chosen consistently with a valid educational plan for the study of Computational Science (as defined above). Any mathematics major who wishes to complete this concentration must choose a computer science course as their elective course. Any computer science major who wishes to complete this concentration must choose a mathematics course for their elective course. A double mathematics and computer science major is not eligible for this concentration. | 677.169 | 1 |
0070079786
ISBN: 0070079781
Publication Date: 1988
Publisher: McGraw-Hill
AUTHOR
Bronson, Richard
SUMMARY
Master matrix operations with Schaum'sthe high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. Get the edge on your classmates. Use Schaum's!If you don't have a lot of time but want to excel in class, this book helps you: Brush up before tests Find answers fast Study quickly and more effectively Get the big picture without spending hours pouring over lengthy textbooksSchaum's Outlines give you the information teachers expect you to know in a handy and succinct formatwithout overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's lets you study at your own pace and reminds you of all the important facts you need to rememberfast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams.Inside, you will find: 363 detailed problems with step-by-step solutions Clear, concise explanations of matrix operations Help with Eigenvalues and the QR Algorithm A solved-problem approach that teaches you with hands-on help Exercises for improving your problem-solving skillsIf you want top grades and a thorough understanding of matrix operations, this powerful study tool is the best tutor you can have!Chapters include: Basic Operations Simultaneous Linear Equations Square Matrices Matrix Inversion Determinants Vectors Eigenvalues and Eigenvectors Functions of Matrices Canonical Bases Similarity Inner Products Norms Hermitian Matrices Positive Definite Matrices Unitary Transformations Quadratic Forms and Congruence Nonnegative Matrices Patterned Matrices Power Methods for Locating Real Eigenvalues The QR Algorithm Generalized Inverses Answers to Supplementary ProblemsBronson, Richard is the author of 'Schaum's Outline of Theory and Problems of Matrix Operations', published 1988 under ISBN 9780070079786 and ISBN 0070079781 | 677.169 | 1 |
Slavin's low price continues to make it one of the best values on the market. It's approximately $25 less than other principles texts. The built-in study guide has perforated pages that students can tear out and hand in to the instructor. Students don't need to purchase an additional expensive supplement; they can write in the exercises at the end of each chapter. The author's humorous writing style and historical approach to economics is a hit with students, who might otherwise find the subject dry or intimidating. Steve Slavin is an experienced and respected author--in addition to over 30 years experience teaching the principles course, he has written 11 other math and economics books.
The book reviews math that students should have learned in middle school. The better prepared students can skip this material, but this review enables students to start on a level playing field. Many advanced work boxes provide more challenging material, giving adventurous student an opportunity to learn and master difficult material.
The Student Center content with testbank is available for WebCT, Blackboard, and McGraw-Hill's PageOut course management systems. For more information instructors should visit McGraw-Hill Digital Solutions at | 677.169 | 1 |
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PCI Ed's Algebra City Covers 28 Common Gaps in Student Understanding
By Dian Schaffhauser
06/26/12
PCI Education, a company that develops curriculum products, has published a set of learning materials specifically for kids in grades eight through 10 having trouble with Algebra 1 concepts. "Algebra City" is a set of four workbooks that address 28 common algebraic misconceptions using a graphic novel approach and web-based practice problems. According to the company, the program is intended to be used not for standard curriculum but for intervention, pinpointing areas where students are struggling.
The materials consist of four student editions, each one covering seven of the 28 topics, as well as a teacher set with an assessment CD, a teacher resource CD, and access to the interactive activities.
An ExamView Assessment Suite includes pre- and post-tests for the program, the book, and individual unit levels, as well as an item bank and test generator, and reporting features.
"Too often, students struggle to learn critical algebra skills they need both inside and outside the classroom," said Lee Wilson, president and CEO of PCI Education. "Algebra City is targeted intervention that encourages students to reconnect to algebra in one or more areas of misunderstanding, while allowing teachers to leverage the investment in their core algebra curriculum."
A classroom starter pack is priced at $599.95 and includes the teacher's kit and a five-pack of student editions, which has five copies of each of the four books in the series | 677.169 | 1 |
Course Description:This course is a functional
approach to algebra that incorporates the use of appropriate technology.
Emphasis will be placed on the study of functions, and their graphs,
inequalities, and, linear, quadratic and piece-wise defined, rational,
polynomial, exponential and logarithmic functions. Appropriate applications
will be included. Credit for this course is not allowed if the student already
has credit for a higher-numbered mathematics course.
Topics: Functions and Their Graphs, Polynomial and Rational Functions,
Exponential and Logarithmic Equations, and Systems of Equations.
Text:Precalculus by Robert Blitzer
Learning Outcomes: Students should be able to demonstrate:
An understanding of how to
solve inequalities including absolute value inequalities
An understanding the
equations of circles and lines and using these to graph
An understanding of functions
and how to graph functions
An understanding of
operations on functions including function composition
An understanding of
polynomial and rational graphs, including intercepts and asymptotes
An understanding of how to
find the zeros of polynomials and factoring polynomials
An understanding of inverse
functions and how to find them graphically and algebraically
An understanding of the
properties of exponential and logarithmic expressions and | 677.169 | 1 |
Algebra 1, Practice Workbook
9780078803062
ISBN:
0078803063
Pub Date: 2007 Publisher: McGraw-Hill Higher Education
Summary: The Practice Workbook mimics the computational and verbal problems in each lesson at an average level providing more challenging problems for students who are moving at a regular or faster pace.
Glencoe McGraw-Hill Staff is the author of Algebra 1, Practice Workbook, published 2007 under ISBN 9780078803062 and 0078803063. Two hundred two Algebra 1, Practice Workbook textbooks are available for sale on Valore...Books.com, fifty two used from the cheapest price of $3.00, or buy new starting at $7.72.[read more] | 677.169 | 1 |
Technology in the Upper-Level Curriculum
Many of us who teach mathematics have been using technology in our classrooms for over a decade. Having a computer available on a daily basis has become standard for me -- in fact, I feel bereft if I enter an assigned classroom a few days before the beginning of the semester and discover that there is no computer in the room. Our students, after learning calculus with a laboratory component, have moved on to upper-level courses with new expectations about the learning environment. We knew there would be substantive differences, compared to calculus, in the way computers would be used in theoretical courses.
However, many of my colleagues and I anticipated that there would be common themes in the uses of technology in upper-level classes. Indeed, two conferences -- the FIPSE-supported Conference on Technology in the Upper-Level Curriculum, held at St. Olaf College (1994), and a subsequent NSF-UFE conference, Exploring Undergraduate Algebra and Geometry with Technology, held at DePauw University (1996) -- were based on the idea that there would be a fundamental similarity in the use of technology in these upper-level, axiomatic courses.
I had, in the early and mid-1990's, developed laboratory materials to teach abstract algebra with a computer laboratory component (Parker, 1995, 1996 ). Additionally, as part of a Mellon Foundation grant to DePauw, I was chosen to be one of a pilot group of faculty to introduce technology into a course that had been previously taught without any. I decided to experiment with our department's introductory real analysis course in the spring of 1999, and I confidently planned my syllabus assuming that I could use my successful pedagogical techniques from abstract algebra in real analysis. Because of this underlying assumption, I was unprepared for the problems that I encountered in this experimental real analysis course. After having candid discussions with students midway into the semester, I realized that there were subtle but distinct differences in the nature of our department's upper-level courses that meant that technology would play a significantly different role in each.
I present here my experiences in three upper-level courses: abstract algebra, real analysis, and geometry. Certainly, there are recurring themes in the use of technology in all of these courses, and I can only repeat here what many others have also experienced in their classrooms. For me, the use of a laboratory component has been very successful in all three courses, but only after I understood that I could not automatically transfer the format from one course to another. I share these observations to encourage the reader to consider thoughtfully how technology can enhance the learning environment in each classroom. I would like to pose the bulleted conclusions on page 5 as research topics to be explored more fully, both in theoretical pedagogical discussions and in controlled classroom experiments. | 677.169 | 1 |
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Partial differential equations (PDEs) predict how fields vary in space and time, and they are hence of vital importance in physics and engineering. In spite of this central role, PDEs have not yet received the attention they deserve in college curricula. This is because very few exact solutions exist, and numerical solutions are cumbersome, to the extent that the latter are taught within separate academic disciplines, such as Applied Mathematics, Numerical Analysis, or Computation. These disciplines focus on numerical methods, however, rather than actual solutions and are mostly of little practical value to scientists and engineers.
A program now available on the web solves PDEs in seconds on a simple PC.The Student Version of FlexPDE is FREE!
The reader only needs superficial knowledge of how solutions are generated by the program, and no previous experience is required to start using it. This book is a sequel of Deformation and Vibration by FEA, which begins by an introduction to the graphical procedures of FlexPDE, and computational commands are then added successively. The Student Version is sufficient for the present self-instructional e-book, except in a few advanced examples. This e-book (176 pages) solves a hundred documented problems, the results being illustrated by color plots. | 677.169 | 1 |
MathCast
iOS UniversalEducation
These video tutorials are presented by Roderick V. James PhD. EE, Adjunct Professor at Houston Community College. Dr. James has been involved with education for the past ten years. His past teaching experience at the Keller Graduate School of Management of DeVry University included the duties of Curriculum Manager for Project Management.
Currently, Dr. James teaches a range of math courses including Fundamentals of Mathematics I & II, College Algebra, Trigonometry, Pre-Calculus, Calculus, Statistics and Finite Mathematics.
The Business of X
In the study of mathematics, once you get past arithmetic you run into theses pesky variables that gives students fits. Every one seems comfortable with 6+4 -(10÷2)=5. In general students have fewer problems with arithmetic and "order of operations" than they do with Algebra, The principal reason for this is the introduction of variables that are generally called "x".
What is this business of "x"?
In math we encounter two types of quantities, constants and variables. Constants are numbers like 3, 5, 11, 1725. These numbers have a value that NEVER changes. Five will always be 5.
Variables, on the other hand change, can change their value depending on the circumstance. If we have a problem involving several unknown quantities then we can assign each unknown quantity its own variable. For example if there are three unknowns we can call them x, y, and z. To solve our problem we find the values for x, y and z that are meaningful for the particular problem.
Another aspect of Algebra that give students trouble is the concept of a function. In simple terms a function describes the relationship between variables. When we say y is a function of x we are talking about two variables and the relation between them. For example if you live in the United States you are accustomed to hearing the temperature given in degrees Fahrenheit. If you live elsewhere you are are probably accustomed to hearing the temperature given in degrees Celsius! There is a relationship between these two measures so that one can be converted to the other. This is an example of a function. Since I know the relationship I can find one given the other.
Lastly we introduce you to the "vocabulary" of math. There are certain key words that lead to a precise mathematical operation. For example it I have 5 oranges more than you, we can turn that into a mathematical expression. Even if I do not know exactly how many oranges you have, I can say that you have "x" oranges. In that case I will have "x + 5" oranges. Thus "more" translates to the mathematical operation "addition".
What we are attempting to do is give you a brief introduction to the wonderful world of Algebra!!!!! | 677.169 | 1 |
Elementary Geometry for College Students
9781439047903
ISBN:
1439047901
Edition: 5 Pub Date: 2010 Publisher: Brooks Cole
Summary: If you want to rent Elementary Geometry for College Students online, we can help you. This text book, written by Daniel C Alexander and Geralyn M Koeberlein, was published by Brooks Cole in 2010. Now you can get cheap Elementary Geometry for College Students here in its 5th edition for an affordable price. We specialize in providing great deals that are heavily discounted for previously owned copies. You can buy Elem...entary Geometry for College Students online here for a price far lower than you might think, and sell back later on too. We provide the whole deal for every college student.
Alexander, Daniel C. is the author of Elementary Geometry for College Students, published 2010 under ISBN 9781439047903 and 1439047901. Two hundred sixty three Elementary Geometry for College Students textbooks are available for sale on ValoreBooks.com, sixty five used from the cheapest price of $37.00, or buy new starting at $182The primary subject of this book was getting across the basics of geometry. I found this book very effective because it gave you review and test questions/answers which was very helpful when preparing for a test. Most of the time teachers will use problems from here for quizzes or test so practicing these problems is crucial. The examples in each chapter are very helpful as well because they give a break down of each problem.
If I could change one thing about this book it would be to provide all the answers for every other problem. Sometimes in certain chapters, answers to the odd problems would be missing. But other than that this book was very helpful in helping me pass with an A this semester! | 677.169 | 1 |
Learn important math skills by using pictures to supplement addition concepts. Choose between 45 basic addition problems, work the problem, and then follow the link to the complete answer. Each problem and also the answer have corresponding fruit pictures for the student to view. The math level of this book is most appropriate for children in kindergarten.
This eBook introduces the related subjects of Pythagoras' theorem, trigonometry and similarity, as Pythagoras' theorem relates to all right-angles triangles, trigonometry as it relates to angles and ratios of sine, cosine and tangent in right-angled triangles, angles of elevation and depression as well as similarity and congruence.
Practice and hone important multiplication skills with this third book. Select one of twenty math problems with complete solutions that educate the student in the multiplication process. The book also includes four bonus word problems with complete explanations and answers. Easily navigate the links from the problem list to view the solution. Most appropriate for 4th and 5th grade students.
Learning to read Mandarin does not have to be a long and difficult process. "Learn To Read Chinese The Right Way! 101 Chinese Character Flashcards! Topic: In The Home" is an excellent way to learn to read Simplified and Traditional Chinese characters as well as improve your vocabulary quickly. It's designed to be used on a reading tablet, computer or cell phone. The flashcards are also printable.
Violence, an increasing trend in the US and across the world, is a humanly transmitted disease capable of immense destruction. Running on Full shows us how we can actually leverage our actions to revive core human values in our extremely dynamic society.
This eBook introduces the subject of differentiation, across this wide-ranging subject, starting with definitions and first principles to developing an understanding and appreciation of the first and second order differentials of the equation y = xn through a development of the equations of the gradient and normal to a curve at a particular point as well as a thorough review of maximum, minimum ..
A thorough and comprehensive self-help book for teaching the left-handed student. With the most up-to-date research & info. on left-handedness that puts southpaw rumors and myths to rest, valuable information on how to nurture & teach the left-hander in a right-handed world with a writing method just for lefties. Plus some fun interviews with Celebrity Lefties on how they coped with being a lefty.
Electronics Principles on your Mobile eBook provides a handy portable reference and calculations guide aimed at more experienced or professional readers not wanting the traditional learning reminder in the sister title (learning on your smartphone published by eptsoft) otherwise the overall content is similar and now available as an interactive Tablet and Smartphone App.
This eBook introduces the related subjects of Pythagoras' theorem and trigonometry, as Pythagoras' theorem relates to all right-angles triangles, trigonometry as it relates to angles and ratios of sine, cosine and tangent in right-angled triangles as well as angles of elevation and depression.
It's time to go to sleep for many animals when the weather turns cold. Introduce your class to the sleepy world of hibernation. They'll learn what it is, famous hibernators, how animals get ready for hibernation and more. | 677.169 | 1 |
This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples. The prerequisites are undergraduate analysis and linear algebra. This new edition provides many advancements, including more figures and exercises, and--as a new feature--a good number of solutions to selected exercises.
This new edition is an improved version of what was already an excellent and carefully written introduction to both differential geometry and Riemannian geometry. In addition to a variety of improvements, the author has included solutions to many of the problems, making the book even more appropriate for use in the classroom.
--Colin Adams, Williams College
This book on differential geometry by Kühnel is an excellent and useful introduction to the subject. ... There are many points of view in differential geometry and many paths to its concepts. This book provides a good, often exciting and beautiful basis from which to make explorations into this deep and fundamental mathematical subject. | 677.169 | 1 |
Presents mathematical concepts such as Markov chains, function iteration and simple groups. This book develops these concepts in the context of applications to important, practical problems such as web-navigation, data compression and error correcting codes. more...
Without a basic understanding of maths, students of any science discipline are ill-equipped to tackle new problems or to apply themselves to novel situations. In this book, Keith Gregson covers a few essential topics that will help encourage an understanding of mathematics so that the student can build on their understanding and apply it to their... more... | 677.169 | 1 |
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The basic geometry of the triangle is widely known, but readers of this book will discover many more delights. The book is full of stimulating results and careful exposition, with plenty of exercises for the reader. For ages 16+.
For delivery addresses outside the UK please remember to add extra postage.
See 'Non-UK postage charges' at the top of the 'UKMT Books' page.
The downloadable UKMT resources on this website are copyright UKMT, but may be used by teachers/pupils for educational, non-profit purposes
About the Trust
The UK Mathematics Trust (UKMT) is a registered charity whose aim is to advance the education of children and young people in mathematics. The UKMT organises national mathematics competitions and other mathematical enrichment activities for 11-18 year old UK school pupils. We were established in 1996 and last academic year over 600,000 pupils from 4,000 schools took part in the three individual challenges, the UK's biggest national maths competitions. Each challenge leads into a follow-on Olympiad round and we run mentoring schemes and summer schools for high performing students as well as training the team of six to represent the UK in the International Mathematical Olympiad. We also run team maths competitions for two age ranges, publish books and organise enrichment seminars for teachers. | 677.169 | 1 |
Start Learning Algebra 2
Special Note: As a special benefit to homeschooling families I organized the videos on this site in a course format. I encourage you to use the material on this blog as a "basic" course. A great way to supplement these basic courses is to invest in the workbook. However if you really like my video lessons than you want to take my full TabletClass Math courses.
Don't Forget To Sign Up For My Email List To Get Up To 50% OFF My Full TabletClass Courses!
Ch. 1 – Ch. 14:
Ch. 15:
Ch. 16:
Ch. 17:
Ch. 18:
This course is designed as a high school second or third year college prep math course. A strong foundation in concepts and skills of Algebra 1 is required.The first part of the course is an extensive series of sections on basic algebra topics that students should have mastered in Algebra 1. Part 2 of the course focuses on quadratic equations/complex numbers, linear systems and matrices/determinants.The next part of the course covers functions and relations and powers and radicals at a more advance level.The course finishes by introducing many advance level topics to include exponential/logarithmic functions and solving polynomials of n-degree. Also a chapter on rational functions is explored to include a section on graphing rational functions.
Welcome To My Math Classroom!
My name is John Zimmerman and I constructed this site to give homeschoolers access to my lessons from my TabletClass Math program. I'm an experienced middle and high school math teacher that holds a degree in Mathematics, a Master's Degree in Educational Technology and various other professional certifications. I can assure you that the video lessons in these courses will help you master middle and high school math.
Good luck- I'm here to help!
John | 677.169 | 1 |
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Modules Explore Real-Life Calculus
04/01/96
Calculus Connections explores mathematical theory and its applications in the world around us through richly produced video, sound and interactive simulations. Each volume consists of eight multimedia modules and a corresponding workbook. Modules begin by presenting a real-life application of a calculus concept -- a plane taking off, a bridge collapsing, a skydiver jumping, etc. Students discover how changing variables or conditions will affect the model and consequently the physical application. Predefined routes through the material take approximately 45 minutes to complete. One can also plot, manipulate and save 2D or 3D graphs, or obtain additional information through online references. John Wiley & Sons, New York, NY, (800) 225-5945, W | 677.169 | 1 |
There is a newer edition of this item:
Following on the success of the Algebra Survival Guide, the Algebra Survival Guide Workbook presents thousands of practice problems (and all answers) to help children master algebra. The problems are keyed to the pages of the Algebra Survival Guide, so that children can find detailed instructions and then work the sets. Each problem set focuses like a laser beam on a particular algebra skill, then offers ample practice problems. Answers are conveniently displayed in the back. This book is for parents of schooled students, homeschooling parents and teachers. Parents of schooled children find that the problems give their children a leg up for mastering all skills presented in the classroom. Homeschoolers use the Workbook - in conjunction with the Guide - as a complete Algebra 1 curriculum. Teachers use the workbook's problem sets to help children sharpen specific skills - or they can use the pages as tests or quizzes on specific topics. Like the Algebra Survival Guide, the Workbook is adorned with beautiful art and sports a stylish, teen-friendly design.
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Most helpful customer reviewsMost Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
134 reviews
110 of 112 people found the following review helpful
Best algebra guide on the marketMay 9 2010
By
sloan
- Published on Amazon.com
Format: Paperback
Verified Purchase
Trust me when I say this the best Alegbra guide on the market. I know because I tried them all(no joke.) As an adult, who never had Algebra in high school, I was not prepared for it in college. And there are few college courses that go all the way back to the beginning, mine expected that you already had basic algebra fundamentals. The guide along with the workbook, actually replaced my textbook. The textbook was simply put, confusing, and unrelatable. The guide, and workbook were lifesavers for me. The clear, precise and easy to understand examples clarified much of what confused me. And associating all of the properties and laws to analogies worked liked a charm. In fact, I soon learned I knew th properties and laws better than my classmates and began using the analogies to explain them so they to could remember all the little tricks this guide taught me. My teenage son, who has struggled with Algebra, now has his own copies and wonders why his teachers have never thought to make it so easy to learn.
64 of 67 people found the following review helpful
Highly recommend the book and workbookAug. 27 2007
By
T. Malnar
- Published on Amazon.com
Format: Paperback
I purchased the Algebra Survival guide and the workbook for my sons who would be taking Algebra in 8th grade. They easily completed the entire book over the summer. The survival guide is easy to understand. The Emergency Fact sheet will be a great reference. They will sail through Algebra this year. I highly recommend these books as a prelude to classroom Algebra for all students.
37 of 41 people found the following review helpful
Algebra Survival GuideAug. 1 2005
By
Learnability
- Published on Amazon.com
Format: Paperback
Absolutely the best book we have found in working with students preparing for Algbra. Great foundational skills organized in a useful way with good explanations that are easy to follow.
60 of 70 people found the following review helpful
A Classic Start!July 7 2004
By
John D MacDonald
- Published on Amazon.com
Format: Paperback17 of 18 people found the following review helpful
great companion for the GuideNov. 20 2007
By
N.F.
- Published on Amazon.com
Format: Paperback
Verified Purchase
I wrote a review of The Algebra Survival Guide, and just want to say here that this should definitely go in your cart along with it. It has lots of problems to work that match up to the Guide, plus a few new concepts to add on to the lessons learned in the Guide. | 677.169 | 1 |
Introduction To Graph Theory
9780073204161
ISBN:
0073204161
Pub Date: 2004 Publisher: McGraw-Hill College
Summary: Written by one of the leading authors in the field, this text provides a student-friendly approach to graph theory for undergraduates. Much care has been given to present the material at the most effective level for students taking a first course in graph theory. Gary Chartrand and Ping Zhang's lively and engaging style, historical emphasis, unique examples and clearly-written proof techniques make it a sound yet acc...essible text that stimulates interest in an evolving subject and exploration in its many applications.This text is part of the Walter Rudin Student Series in Advanced Mathematics.
Chartrand, Gary is the author of Introduction To Graph Theory, published 2004 under ISBN 9780073204161 and 0073204161. One hundred ninety two Introduction To Graph Theory textbooks are available for sale on ValoreBooks.com, two used from the cheapest price of $5.45, or buy new starting at $105 | 677.169 | 1 |
... is said to have originated from the Greek mathematician Pythagoras of Samos. He was born in 580 ... Quick Report * Date Calculator with Calendar * Math Calculator with Numerology Functions * Export Report to ...
... are just a click away. Program categories include Math, HVAC, Mechanical, Electrical, Materials, and Structural. All calculations are fully functional in the evaluation version, and the programs will function indefinitely. ...
... curriculum. Design game activities to enhance learning in mathematics, language arts, science, social studies, and just about any other subject in which your students might welcome a change of pace. ...
Math Mechanixs is a FREE and easy to use scientific and engineering math software program. (FREE registration is required after 30 days of usage). Math Mechanixs has an integrated Scientific Calculator and Math ...
Foreval is compiler of mathematical expressions(formulas) given as string at run-time. (math parser&compiler x86/32 CPU/FPU). Present as "dll" library and Delphi component. Open source. Can be compiled in FPC (Lazarus). ... | 677.169 | 1 |
This section will illustrate some mathematical skills that are the back bone
of Principal Component Analysis . It is less important to remember the exact
mechanics of a mathematical techniques than it is to understand the intution
behind them . The topics are covered independentaly of each other and examples
are given. | 677.169 | 1 |
Understanding Algebra
Understanding Algebra Algebra to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Understanding Algebra
Select this link to open drop down to add material Understanding Algebra to your Bookmark Collection or Course ePortfolio
Discussion
Discussion for Understanding Algebra
Lawrence Wang
(Student)
a. I found out topics and how the topics/concepts/practices are introduced.
b. The material accurately presents the concepts since it is a good refreshener to pull back my memories about the Algebra learned before.
c. If used appropriately, learning will be enhanced since it covers all the Algebra basics.
d. It is not hard to use since once you get familiar with the format of topics and sub-topics, it becomes a handy reference material.
Technical Remarks:
The topics, examples and graphs/figures match effectively.
Time spent reviewing site:
30 minutes
6 years ago
Jonathan Murphy
This is a great and easy to use site for people who are either just starting algebra or those who need a refresher course. This site has topics that range from basic arithmetic to quadratic equations.
Technical Remarks:
The website is well organized like a math text book, so every topic is split into different topics. Also included are graphs and samples, and its very easy to read.
Time spent reviewing site:
I spent about twenty minutes on the site looking and skimming over the text. | 677.169 | 1 |
MATH 0098
This is an archive of the Common Course Outlines prior to fall 2011. The current Common Course Outlines can be found at Credit Hours 4 Course Title Intermediate Algebra Prerequisite(s) MATH 0097 with a "C" or better or placement by examination Corequisite(s)None Specified Catalog Description
This course is designed to prepare students for college level mathematics courses. Topics include graphing lines and parabolas, function notation, integral and rational exponents, solving absolute value and quadratic equations and inequalities, solving radical equations, problem solving involving linear equations, quadratic equations, and systems of equations in two variables, and writing equations of lines. Additional topics include operations with radicals and complex numbers, geometric concepts, and calculator usage.
Expected Educational Results
As a result of completing this course, the student will be able to: 1. Use algebraic symbols and notation to make meaningful statements 2. Solve applications for which linear equations, quadratic equations, and systems are mathematical models 3. Solve the following equations: a. Quadratic with real and non-real solutions b. Absolute value of the form: |ax + b| = constant c. Rational leading to a quadratic d. Polynomial of degree higher than two by factoring e. Radical leading to linear or quadratic 4. Solve inequalities, write the solution set in interval notation, and graph the following types: a. Factorable quadratic b. |ax + b| < or > constant c. Factorable polynomial of degree higher than two 5. Solve a system of two linear equations in two variables (having no, one, or many solutions) by graphing, substitution, or elimination 6. Perform operations with complex numbers (excluding division) 7. Apply properties of exponents with integral and rational exponents 8. Perform the four basic operations with radicals (excluding rationalizing) 9. Solve problems where students have to display comprehension of basic geometric concepts including the Pythagorean Theorem, area and perimeter 10. Perform the following activities with lines: a. Use the distance and midpoint formula b. Graph equations in standard form and slope-intercept form c. Find the slope of a line d. State if lines are parallel or perpendicular e. Write the equation of a line 11. Use a graphing calculator 12. Understand function notation 13. Graph parabolas
General Education Outcomes
1. This course addresses the general education outcome related to effective individual and group problem-solving and critical-thinking skills as follows: a. Students develop their problem-solving skills individually in homework assignments, assigned group problem-solving activities, and group quizzes or project assignments. b. Students develop their critical-thinking skills by solving application problems throughout the course.
2. This course addresses the general education outcome related to the use of mathematical concepts to interpret, understand, and communicate quantitative data.
1. COURSE GRADE a. Evaluation methods vary with instructors, but frequent assessment is desirable through such means as in-class tests, quizzes, lab work,projects and homework. A comprehensive departmental final exam is required. The final exam must count at least one-fourth (1/4) and no more than one-third (1/3) of the course grade. The departmental final exam will be developed by a committee of faculty.
b. Students with a grade of A, B, or C in MATH 0098 but who fail the exit exam will be given a grade of IP.
2. DEPARTMENTAL ASSESSMENT This course will be assessed in the Fall semester every three years. The assessment instrument will become the final exam. The assessment instrument will be designed by the college-wide Learning Support course committee. Multiple choice questions will be written to test the expected educational results of the course.
3. USE OF ASSESSMENT FINDINGS a. The Learning Support committee will analyze the results of the final exam/assessment instrument and submit a report to the Mathematics, Computer Science, and Engineering Discipline Group by Spring semester.
b. The Learning Support course committee will recommend to the Mathematics, Computer Science, and Engineering Discipline Group curriculum changes or instructional modifications to enhance student achievement of the desired education outcomes. The assessment summary along with a time line for implementation of approved curriculum changes will be sent to the Director of Institutional Research and Planning and the Mathematics, Computer Science, and Engineering Discipline Group chairperson. | 677.169 | 1 |
0201525Student Solutions Manual for Algebra and Trigonometry: Unit Circle
This paperback text is designed specifically to motivate students to participate-actively and immediately-in the learning process. The text is crafted to meet the varied skill levels of students-giving them solid content coverage in a supportive format. This text also fosters conceptual thinking with exercises, computer/graphing calculator exercises, and a thoroughly integrated five-step problem solving approach. This worktext features a right triangle introduction to trigonometry | 677.169 | 1 |
Abstract
An online testing system developed for entry-skills testing of first-year university students in algebra and calculus is described. The system combines the open-source computer algebra system Maxima with computer scripts to parse student answers, which are entered using standard mathematical notation and conventions. The answers can involve structures such as: lists, variable-precision-floating-point numbers, integers and algebra. This flexibility allows more sophisticated testing designs than the multiple choice, or exact match, paradigms common in other systems, and the implementation is entirely vendor neutral. Experience using the system and ideas for further
development are discussed.
Published version deposited in accordance with the copyright policy of the publisher. Copyright in individual articles resides with the authors of each article. No part of this journal may be reproduced without permission (other than single copies for study purposes), and files from this site may not be remounted on other web servers (except for an author's own articles and own institutional repository) without permission. | 677.169 | 1 |
...
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the importance of mathematical modeling of these activities. An informal, tutorial writing style is used to aid the beginner in fully understanding the ideas and topics presented. The academic version of Arena and example files are available through the book's website. McGraw-Hill is proud to offer Connect with the sixth edition of Kelton's, Simulation with Arena. This innovative and powerful system helps your students learn more efficiently and gives you the ability to customize your homework problems simply and easily. Track individual student performance - by question, assignment, or in relation to the class overall with detailed grade reports. ConnectPlus provides students with all the advantages of Connect, plus 24/7 access to an eBook. Kelton's Simulation with Arena, sixth edition, includes the power of McGraw-Hill's LearnSmart - a proven adaptive learning system that helps students learn faster, study more efficiently, and retain more knowledge through a series of adaptive questions. This innovative study tool pinpoints concepts the student does not understand and maps out a personalized plan for success.
Read Less
Fine. Hardcover. Almost new condition. SKU: 9780073401317-2Hardcover. New Condition. SKU: 9780073401317-1 | 677.169 | 1 |
Unit circle, definitions of the six trigonometry functions and their graphs, triangle relationships, linear and angular velocity, identities and solving trigonometric equations, Law of Sines and Cosines, DeMoiure's Theorem and Vectors.
OBJECTIVES:
Students will be able to apply the processes of Trigonometry to solve trigonometry equations and to solve a variety of problems involving angles and triangles.
REQUIREMENTS:
Students will use the same text as for Math 110 - College Algebra - and must obtain their own graphing calculator. Students will also attend class and complete all assignments selected by their instructor. | 677.169 | 1 |
Includes areas of mathematics related to computer technology which may include Boolean algebra, functions, non-decimal number systems, binary arithmetic, exponents, graphing, and algebra.
Prerequisite
Prerequisite: MATH 97
Additional Course Details
Contact Hours (based on 11 week quarter)
Lecture: 55
Lab: 0
Other: 0
Systems: 0
Clinical: 0
Intent:Distribution Requirement(s) Status:
Vocational Preparatory
Required for ATA degree
Equivalencies At Other Institutions
Other Institution Equivalencies Table
Institution
Course #
Remarks
N/A
Learning Outcomes
After completing this course, the student will be able to:
Students display critical thinking skills in the following areas:
Demonstrate an understanding of the relationship between the decimal, binary, octal, and hexadecimal number systems.
Employ Boolean logic as used for circuit design and/or computer program control.
Demonstrate an understanding graphing coordinate systems.
Utilize algebraic concepts to solve computational problems.
Employ functions to solve computational problems
8. Mathematical Reasoning
Definition:
Understanding and applying concepts of mathematics and logical reasoning in a variety of contexts, both academic and non-academic.
Definition:
Understanding scientific principles, and analyzing and applying scientific information in a variety of contexts.
Outcomes: Students will be able to . . .
9.1 Demonstrate an understanding of fundamental scientific concepts.
10. Technology
Definition:
Understanding the role of technology in society and using technology appropriately and effectively.
Outcomes: Students will be able to . . .
10.3 Use technology appropriate to the context and task to effectively retrieve
and manage information, solve problems, and facilitate communication.
10.4 Demonstrate an understanding of the impact of technology in one's personal and professional life. | 677.169 | 1 |
Calculus: Single Variable / Edition 9
Overview
This text is an unbound, binder-ready edition. of earlier editions: e.g., Anton's trademark clarity of exposition; sound mathematics; excellent exercises and examples; and appropriate level, while incorporating more skill and drill problems within WileyPLUS. The seamless integration of Howard Anton's Calculus, Tenth Edition with WileyPLUS, a research-based, online environment for effective teaching and learning, continues Anton's vision of building student confidence in mathematics because it takes the guesswork out of studying by providing them with a clear roadmap: what to do, how to do it, and if they did it right.
4. Integration 4.1An Overview of the Area Problem 4.2The Indefinite Integral 4.3Integration by Substitution 4.4 The Definition of Area as a Limit; Sigma Notation 4.5The Definite Integral 4.6The Fundamental Theorem of Calculus 4.7Rectilinear Motion Revisited: Using Integration 4.8Average Value of a Function and Its Applications 4.9Evaluating Definite Integrals by Substitution
5. Applications of the Definite Integral in Geometry, Science and Engineering 5.1Area Between Two Curves 5.2Volumes by Slicing; Disks and Washers 5.3Volumes by Cylindrical Shells 5.4Length of a Plane Curve 5.5Area of a Surface Revolution 5.6Work 5.7Moments, Centers of Gravity, and Centroids 5.8Fluid Pressure and Force | 677.169 | 1 |
Fundamentals of Algebraic Modeling
Fundamentals of Algebraic Modeling An Introduction to Mathematical Modeling with Algebra and Statistics
Fundamentals of Algebraic Modeling : An Introduction to Mathematical Modeling with Algebra and Statistics
*ACP FUND. OF ALGEBRAIC MODELING 2E
Student Solutions Manual for Timmons/Johnson/McCook's Fundamentals of Algebraic Modeling: An Introduction to Mathematical Modeling with Algebra and Statistics, 5th
Summary
FUNDAMENTALS OF ALGEBRAIC MODELING 6e presents Algebraic concepts in non-threatening, easy-to-understand language and numerous step-by-step examples to illustrate ideas. This text aims to help you relate math skills to your daily life as well as a variety of professions including music, art, history, criminal justice, engineering, accounting, welding and many others. | 677.169 | 1 |
Synopses & Reviews
Please note that used books may not include additional media (study guides, CDs, DVDs, solutions manuals, etc.) as described in the publisher comments.
Publisher Comments:
With a focus on understanding profit factors, this book provides a basic knowledge of the principles and techniques of real-world merchandising mathematics. Building on the authors' extensive retail experience, the book explains how to apply these fundamentals to realistic, everyday retail merchandising problems. Math applications specific to retailing makes this book an excellent resource for buyers and small store owners. Suggestions for working select problems on a computer spreadsheet includes examples of spreadsheets used for problems having to do with retail method of inventory and six-month merchandise plans. For Retail Executives and Buyers in training and Small Storeowners | 677.169 | 1 |
Popular Textbooks
Details about Algebra And Trigonometry:
Written For A One- Or Two-Term Course At The Freshman/Sophomore Level, The Third Edition Covers The Principles Of College Algebra, Trigonometry, And Analytic Geometry In The Concise And Student-Friendly Style That Have Made Zill's Texts A World-Wide Success. It Includes All Of The Trademark Features For Which Zill Is Known Including, Lucid Examples And Problem Sets, A Rich Pedagogy, A Complete Teaching And Learning Ancillary Package, And Much More. Throughout The Text Readers Will Find A Wide Range Of Word Problems And Relevant Applications, Historical Accounts Of Famous Mathematicians, And A Strong Variety Of Modern Exercises.
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Rent Algebra And Trigonometry 3rd edition today, or search our site for Zill textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Jones & Bartlett Learning. | 677.169 | 1 |
Better student preparation needed for university maths: UK study
August 1, 2012
Moving from sixth form, or college, into higher education (HE) can be a challenge for many students, especially those who start mathematically demanding courses. Life prior to university focuses on achieving maximum examination success to be sure of a place. Faced with this pressure, school and college maths courses pay little attention to preparing students to use maths in other areas of study according to a project funded by the Economic and Social Research Council (ESRC).
A student's ability to apply mathematical reasoning is critical to their success, especially in HE courses like science, technology, engineering and medicine. The study, undertaken by Professor Julian Williams, Dr Pauline Davis, Dr Laura Black, Dr Birgit Pepin of the University of Manchester and Associate Professor Geoffrey Wake from the University of Nottingham, shows that it is important to understand how students can prepare for the 'shock to the system' they face and how they can be given support at school, college and university to help in the transition.
The researchers found that students were not fully aware of the importance of the mathematical content in the courses they had joined at university, and particularly how to apply maths in practice.
Associate Professor Geoffrey Wake states, "Different teaching styles of university lecturers and the need for autonomously-managed learning, where students need to learn some mathematical content of their courses on their own without input from lecturers, also came as a bit of a shock for many students. On the other hand, some of the lecturers had limited knowledge of the exam-driven priorities of A-level maths courses and were not aware of the techniques students had been taught prior to attending their university courses."
The researchers also found significant problems in motivating students to engage with the mathematics within their chosen university coursewhere mathematics was not their main area of study. Generally, schools and colleges were found not to be preparing students for university learning practices, and the level of learning-skills support was variable once students arrived at university.
"Many students felt that they would benefit from student-centred learning and greater opportunity for dialogue with their lecturers," says Associate Professor Wake. "Unfortunately, the efficiencies required of university teaching resulting in lecturing of large numbers of students makes developing such a learning culture unlikely."
The findings led the researchers to consider the implications for the policies and practices of schools, colleges and universities recommending a better two-way flow of information between schools and colleges and universities to address the issues of preparation and expectation.
They concluded that the sixth-form curriculum should provide 'learning to learn' skills and mathematical modelling for students following A-level maths coursesA recent study reports that high school students who study fewer science topics, but study them in greater depth, have an advantage in college science classes over their peers who study more topics and spend less time on ...
Engineering students with average grades from upper secondary school can manage difficult courses just as well as students with high grades. At least, if a group of them meet an older student once a week during the first ...
College students participating in a new study on online courses said they felt less connected and had a smaller sense of classroom community than those who took the same classes in person – but that didnt keep online ...
Introductory science courses – in biology, chemistry, math and physics – can be challenging for first-year college, CEGEP and university students. Science 101 courses can make or break a student's decision to venture ...
What is the difference between e-learning, online learning and distance learning? University of Missouri researchers have found that even educators can't agree on what different forms of learning environments entail and | 677.169 | 1 |
true syllabus MATH 122
1.
EULOGIO "AMANG' RODRIGUEZ
INSTITUTE OF SCIENCE AND TECHNOLOGY
COLLEGE OF ARTS AND SCIENCES
Nagtahan, Sampaloc, Manila
COURSE SYLLABUS
Subject: PLANE TRIGONOMETRY
Code: MATH 122
Curriculum: GENERAL EDUCATION
1.0 EARIST PHILOSOPHY
As a state college, Eulogio "Amang" Rodriguez Institute of Science and
Technology (EARIST) believes that the education is not an are of knowledge that can be
arrogated unto itself by one profession, nor it is a division separate and distinct from the
society and the times in which it flourishes. It is a plexus of knowledge applied to the
economic, social and moral development of a self-actualized and productive citizenry.
2.0 EARIST VISION
The Eulogio "Amang" Rodriguez Institute of Science and Technology (EARIST)
is envisioned as a Center of Excellence in scientific, technical and technological
education in Metro Manila in particular and the Philippines in general.
3.0 EARIST MISSION
Turn out vocationally, technically, technologically and scientifically trained
graduates who will be economically productive, self sufficient, effective, responsible and
disciplined citizens of the Philippines.
4.0 EARIST GOAL
Provide professional, scientific, technological, technical and vocational
instruction and training in trades, business, arts, sciences and technology and for special
purposes promote research, advanced studies, and progressive leadership.
5.0 EARIST OBJECTIVES
5.1 Strive for academic excellence in instruction, research, extension and
production through accreditation.
5.2 Provide appropriate and continuing faculty and staff development
programs.
5.3 Provide and maintain appropriate technologies, instructional facilities,
materials and equipment.
2.
5.4 Produce quality graduates who are globally competitive to man the needs
of business and industry.
5.5 Attain university status through Unity, Solidarity and Teamwork.
6.0 COLLEGE GOALS
6.1 Provide youth with acquisition of the ability to think logically and
critically; and develop their self-expression, moral and social
responsibility, and other skills in discovering the truth, in addition to
equipping them with appreciation for human values and basic essential
knowledge for specific course.
6.2 Provide maximum opportunities to the youth in pursuit of a better quality
of life by emphasizing the acquisition of knowledge and the formation of
the necessary skills through research and investigation; and to make them
responsible and productive member of the society.
6.3 Develop appreciation for athletic and cultural heritage indigenously
Filipino and enhance ideals, attitude, and habits desirable for his total
development as a human being.
6.4 Adopt a standardized curriculum for each course geared towards the goals
of Higher Education; ensuring the attainment of empowered and globally
competitive Filipinos through quality and excellent and rationalizing the
Philippine Higher Educational System.
7.0 PROGRAM GOAL
Produce graduates who are capable in logical reasoning; precise in mathematical
language; competent in handling abstract situation and problem solving and possess
analytical and critical thinking.
8.0 PROGRAM SPECIFIC OBJECTIVES
8.1 Produce students equipped with critical and logical reasoning and
competent in mathematical abstraction.
8.2 Provide strong foundation necessary for scientific and technical and
statistical research through acquisition of knowledge and skills.
8.3 Provide insight and understanding the relationships between mathematics
and the reality.
8.4 Promote awareness and understanding of the role of students in the
maintenance and sustenance of the quality of life through lofty ideals,
desirable habits and attitudes.
9.0 COURSE DESCRIPTION
This course deals with study of circular and trigonometric functions, solutions of
right and oblique triangle and logarithms, solution of spherical triangle. | 677.169 | 1 |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for). | 677.169 | 1 |
In this document students can explore using numerical methods for solving second order differential equations. After a background discussion the document leads students to the solution of the equation of motion for the classical harmonic oscillator. Each step of the numerical algorithm is carefully explained. Questions embedded in the document help students to focus on the method and the links between the method, the solutions, and the physical model for the oscillator. Students are expected to apply the method to the quantum mechanical oscillator and explore the properties of the resulting solutions.Students are also requested to compare and contrast the solutions obtained by the numerical method to those obtained by the analytical method. References are included inthe document. | 677.169 | 1 |
Pre Cal Notes 1 1
3.
Sets and Intervals <ul><li>A set is a collection of objects. </li></ul><ul><li>The objects are called the elements of the set. </li></ul><ul><li>a є S means a is an element of set S. </li></ul><ul><li>b є S means b is not an element of set S. </li></ul><ul><li>You can describe a set by listing its elements in braces. A = {1,2,3,4,5} </li></ul><ul><li>You could also describe it in set-builder notation </li></ul><ul><li>A = {x | x is an integer and 1 ≤ x ≤ 5} </li></ul>
4.
<ul><li>If S and T are sets, then their union S υ T is the set of all elements in either S or T or both. </li></ul><ul><li>The intersection of S and T, S ∩ T, is the set containing all the elements that are in both S and T. </li></ul><ul><li>The empty set , Ø , is the set that contains no elements. </li></ul>
6.
<ul><li>An interval is a set that corresponds to line segments. </li></ul><ul><li>The open interval from a to b is denoted (a,b) and contains all of the integers between a and b. </li></ul><ul><li>The closed interval from a to b is denoted [a,b] and contains all of the integers between a and b including a and b themselves. </li></ul><ul><li>Let's look at the chart on page 7 for more examples… </li></ul> | 677.169 | 1 |
Equation Calculator
Mac OSEducation
Equation Calculator is a scientific calculator which does symbolic and algebraic manipulation, algebra and calculus as well as numeric computation. You can define variables and functions, evaluate symbolic derivatives, numeric integrals and matrix operations. | 677.169 | 1 |
Volo, IL StatisticsAmy D.Rachelle E.Moon JMuhammad R.
...Besides giving you concepts and practice problems, I can also explain the applications of discrete mathematics and why it is such an important branch of mathematics in several technical fields such as computer science and engineering. I have taken several higher level mathematics courses during ... | 677.169 | 1 |
The Matrix Multiplication simulation aims to help students learn how to multiply two matrices and what conditions need to be...
see more
The Matrix Multiplication simulation aims to help students learn how to multiply two matrices and what conditions need to be fulfilled for the product of two matrices to exist. Students can choose different dimensions for matrices A and B, and the product C=AB is displayed if it exists. Student can select an element of the matrix C to see how it is calculated. An accompanying activity for this simulation is available at and The simulation can be downloaded from the QuVis website simulation is part of the UK Institute of Physics New Quantum Curriculum, see Simulations and accompanying activities can be accessed from the IOP site and from Sharing of these resources is encouraged, with all usage under the Creative Commons CC BY-NC-ND licence. Instructors can email quantumphysics@iop.org for activity solutions and to request to modify materialsication to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Matrix Multiplication
Select this link to open drop down to add material Matrix Multiplication to your Bookmark Collection or Course ePortfolio
This site is devoted to learning mathematics through practice. Many dozens of practice problems are provided in Precalculus,...
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This site is devoted to learning mathematics through practice. Many dozens of practice problems are provided in Precalculus, Calculus I - III, Linear Algebra, Number Theory, and Abstract Algebra. The last two subject areas -- referred to as "books" on the site -- are under construction. To each topic within a book (for example, Epsilon and Delta within Calculus I) there is a "module" of approximately 20 to 30 problems. Each module also includes a help page of background material. The modules are interactive to some extent and often provide suggestions when wrong answers are enteredOW -- Calculus on the Web to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material COW -- Calculus on the Web
Select this link to open drop down to add material COW -- CalculusigenExplorer to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material EigenExplorer Net Force to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material Net ForceThe CCP includes modules that combine the flexibility and connectivity of the Web with the power of computer algebra systems...
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The CCP includes modules that combine the flexibility and connectivity of the Web with the power of computer algebra systems such as Maple, Mathematica, MatLab and MathCad. The single-topic units 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. Modules are organized into areas of precalculus, differential calculus, integral calculus, multivariable calculus, linear algebra, differential equations and engineering mathematics. Applications include those in biology, chemistry, physics, engineering, economics and environmentaled Curriculum Project - Materials for Precalculus to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material Connected Curriculum Project - Materials for Precalculus to your Bookmark Collection or Course ePortfolio
Gauss elimination is a method of solving a system of linear equations. This site contains an interactive tool that performs...
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Gauss elimination is a method of solving a system of linear equations. This site contains an interactive tool that performs Gauss elimination procedure one step at a time. The result is displayed after each step. A user can also use this tool to invert a matrixussian Elimination to your Bookmark Collection or Course ePortfolio
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Matrix Calculator is a site containing an interactive applet that let a user to input a square matrix and then with a press...
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Matrix Calculator is a site containing an interactive applet that let a user to input a square matrix and then with a press of a button compute a power of this matrix, determinant, inverse, characteristic polynomials and other useful matrix characteristics calculator to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material Matrix Multiplier Vector Addition (Physics, Math) to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material Vector Addition (Physics, Math) to your Bookmark Collection or Course ePortfolio | 677.169 | 1 |
Introductory Physics With Algebra Mastering Problem-solving
9780471762508
ISBN:
0471762504
Pub Date: 2006 Publisher: Wiley & Sons, Incorporated, John
Summary: Get a better grade in Physics! Physics may be challenging, but with training and practice you can come out of your physics class with the grade you want! With Stuart Loucks' Introductory Physics with Algebra as a Second Languagea?: Mastering Problem-Solving, you'll get the practice and training you need to better understand fundamental principles, build confidence, and solve problems. Here's how you can get a better ...grade in physics: Understand the basic language of physics Introductory Physics with Algebra as a Second Languagea? will help you make sense of your textbook and class notes so that you can use them more effectively. The text explains key topics in algebra-based physics in clear, easy-to-understand language. Break problems down into simple steps Introductory Physics with Algebra as a Second Languagea? teaches you to recognize details that tell you how to begin new problems. You will learn how to effectively organize the information, decide on the correct equations, and ultimately solve the problem. Learn how to tackle unfamiliar physics problems Stuart Loucks coaches you in the fundamental concepts and approaches needed to set up and solve the major problem types. As you learn how to deal with these kinds of problems, you will be better equipped to tackle problems you have never seen before. Improve your problem-solving skills You'll learn timesaving problem-solving strategies that will help you focus your efforts and avoid potential pitfalls.
Loucks, Stuart E. is the author of Introductory Physics With Algebra Mastering Problem-solving, published 2006 under ISBN 9780471762508 and 0471762504. One hundred sixty nine Introductory Physics With Algebra Mastering Problem-solving textbooks are available for sale on ValoreBooks.com, fifty used from the cheapest price of $50.44, or buy new starting at $50 | 677.169 | 1 |
GED Math 2002
Synopses & Reviews
Publisher Comments:
The GED Mathematics Test focuses on the practical use of basic arithmetic, algebra, and geometry. You will be tested on your understanding of how to solve a problem and your ability to do the math to find a solution | 677.169 | 1 |
Praxis II Mathematics - Study Guide
PLEASE NOTE: As of 2015, ETS (the official testing service) has discontinued this specific Praxis exam and replaced it with a new, updated Praxis exam. To learn more about the new exam that you will need to take instead, please visit our special info page about Discontinued Praxis Exams and New Praxis Exams.
Praxis II Mathematics: Content Knowledge (0061/5061) Study Guide
There are a number of popular Praxis 2 Study Guides on the market today, which can help you review for the ETS Praxis 2 Mathematics: Content Knowledge (0061/5061) exam, but at 500-600 pages in length, they can sometimes seem as daunting as the test itself. That's why we've created a simple, concise Praxis 2 Math Study Guide which lists the most important key concepts you need to know for the exam, without any fluff or filler.
An online version of our "Praxis 2 Mathematics Overview" Study Guide is available free here on our website. Based on the exact ETS Praxis content specifications, this easy-to-read guide gives you a list of all the subject matter areas you can expect to encounter on the Praxis 2 Mathematics: Content Knowledge exam. Before beginning your Praxis 2 preparation, you should read this guide to ensure that you are studying the right material, right from the start.
Once you have read our Praxis 2 Math Study Guide to get an overview of the topics that will appear on your exam, you may wish to enroll in our Praxis 2 Mathematics Prep Class or Praxis 2 Mathematics Online Prep. Each of these programs gives you targeted, in-depth instruction in all of the topic areas listed in our study guide, teaching you the exact subject matter knowledge and strategy you need to pass. | 677.169 | 1 |
Course Offerings - MATHEMATICS
NOTE:
Prerequisite courses must be completed with a grade of "C" or above. The Mathematics Department
recommendation for students entering their first course in mathematics is made on the basis of the
student's high school record, ACT score, University objectives, and mathematics placement exam.
67-100 Basic Algebra4 cr.(Fall-Spring)
Basic concepts about numbers, fundamental operations of arithmetic, algebraic expressions, an
introduction to linear equations, functions, and factoring. Only those students failing to meet the
prerequisites for 67-103 will be recommended for this course. This course does not count toward the
120 credits necessary for graduation. A grade of "C" or above is required to remove mathematics
deficiency.
67-102 Introduction of Modern Mathematics and its Applications(MA)4 cr.(Fall-Spring)
This is a course intended for students whose major program does not require algebra or calculus.
Students will see that the connection between the mathematics presented and down-to-earth,
concrete real-life problems is direct and immediate. Topics are selected from social choice (voting
systems, fair division, apportionment), management science (graphs, networks, scheduling), growth
and symmetry (growth, populations, patterns), statistics (data analysis, probability, distributions) and
computer technology (algorithms, data storage, coding, graphics). Prerequisite: 67-100 with a grade
of "C" or better or placement.
The structure of the real numbers, open sentences in one variable (equalities and inequalities),
systems of linear open sentences, functions and graphs, polynomials and factoring. Prerequisite: 67-100 with a "C" or above or placement. Not open to students who have completed 67-104 or higher.
67-104 College Algebra 3 cr.(Fall-Spring)
Continuation of functions and graphs including logarithms, polynomials, induction, progressions,
matrices and determinants, permutations, combinations, probability. Students may not receive credit
for both 67-104 and 67-108. Prerequisite: 67-103 with a grade of C or above or placement.
67-106 Trigonometry 2 cr. (Fall-Spring)
A first course in trigonometry. Basic circular functions and their inverses. Trigonometric identities and
equations. Triangle trigonometry. Law of Sines and Law of Cosines. Students may not receive credit
for both 67-108 and 67-106. Prerequisite: 67-104 with a grade of C or better or placement.
Descriptive statistics/elementary probability/basic problems of statistical inference: estimation,
confidence intervals, hypothesis testing, regression and correlation. Prerequisite: 67-100 with a "C" or
above or placement. Not open to students who have completed 67-104 or higher.
67-108 College Algebra and Trigonometry5 cr.(Fall-Spring)
A functional approach to college algebra and trigonometry. Polynomial, exponential, logarithmic,
circular, and trigonometric functions. Students may not receive credit from both 67-104 and 67-108.
Prerequisite: 67-103110 Number Systems 3 cr. (Fall-Spring)
Exploring, conjecturing, communicating and reasoning within the content domain of the whole
numbers, the integers, the rational numbers and the real numbers. Includes experiences with sets,
number sense and numeration, number systems, number theory, concepts of operations on
numbers, computational algorithms and estimation. Prerequisite: Open only to students in elementary
and special education. Initial math placement above the remedial level or a C or better in 67-100.
67-122 Introduction to Discrete Mathematics3 cr.
Topics in discrete mathematics for majors and minors in mathematics, for computer science and for
general education. Topics include propositional logic, predicate logic, induction, sets, counting
strategies, graph theory and trees. Prerequisites: 67-104 or 67-108 with a grade of C or above or four
years of college preparatory mathematics and recommended placement based on mathematics
placement exam.
67-171 Calculus I 4 cr.(Fall-Spring)
Real valued functions of a single variable. Concept of derivative, antiderivative, and definite integral.
Differentiation and applications, including optimization and curve-sketching. Emphasis on problem
solving, approximation, data analysis, visualization. A graphics programmable calculator is required.
Prerequisite: 67-108 or 67-104 and 67-106 (with grade(s) of C or above) or 4 years of college
preparatory mathematics and a satisfactory score on a placement examination.
Covers the same subject matter as 67-171 (Calculus I), but with greater mathematical depth and
emphasis on heuristic problem solving processes, computer or calculator graphics, and applications.
Prerequisite: Enrollment in the University Scholars Program in addition to the prerequisites for 67-171.
67-200 Minitab Statistical Computing1 cr.
An introduction to the statistical computing package MINITAB. Descriptive techniques, graphical
presentations of data, correlation and regression, random numbers and simulation, statistical tests.
Prerequisite: 67-200. A statistics course at the level of 67-107 or higher or concurrent registration in
such a statistics course.
67-201 Applied Statistics 3 cr. (Fall-Spring)
An introduction to applied statistics using a statistical computing package such as MINITAB. Topics
include: Descriptive statistics, elementary probability, discrete and continuous distributions, interval
and point estimation, hypothesis testing, regression and correlation. Credit cannot be earned for both
67-107 and 67-201. Prerequisite: 67-104 or 67-108 with a grade of C or above.
67-204 Mathematics for Business Analysis I4 cr.(Fall-Spring)
This course is designed to acquaint business students with mathematical techniques which are useful
in business and management. Topics include Functions, Matrix Algebra and Applications, Linear
Programming, Probability, and Mathematics of Finance. Prerequisite: 67-103 or 67-108 with a grade
of C or above.
67-206 Mathematics for Business Analysis II 4 cr.(Fall-Spring)
This course follows 67-204. Topics include Logarithmic and Exponential Functions, Differential and
Integral Calculus and their application to business problems. Prerequisite: 67-204 with a grade of C
or above.
67-207 Short Course in Calculus 4 cr.
A basic calculus course designed to give students a practical working knowledge of differential and
integral calculus. Applications of algebraic, logarithmic and exponential functions will be presented in
the areas of business, natural sciences, and the social sciences. Students may not get credit for both
67-206 and 67-207. Not open to students who have completed 67-171 or equivalent. Prerequisite:
67-104 or 67-108211 Fundamentals of Geometry and Measurement for Elementary and Special Education Programs (MA) 3
cr.(Fall-Spring)
Intuitive geometry and topology. Introduction to motion geometry. Measurement of length, area,
volume and angle size. Includes a content foundation for teaching the geometry and measurement
concepts recommended in the DPI K-8 guidelines. Prerequisite: 67-110.
67-217 Data Exploration and Analysis3 cr. (Fall-Spring)
This course uses activities and experiments to develop ideas about analyzing and reporting data,
statistical techniques, probability and simulation. Most activities will involve data gathered from real
life situations. Prerequisite: 67-110.
67-222 Introduction to Abstract Mathematics3 cr. (Fall)
Topics include proof strategies, elementary number theory, relations, functions and some algebraic
structures. Proof strategies include conditional proof, proof by contradiction, proof by cases,
existence proofs, mathematical induction, strong induction, over generalization and counter example.
Relations emphasized are equivalence relations and partial order relations. Functions emphasized
are isomorphisms and homomorphisms. Prerequisite: 67-122, 67-171 with a grade of C or above in
each.
67-256 Introduction to Linear Mathematics 3 cr.(Fall-Spring)
An introduction to linear algebra based on the study of matrices, with an emphasis on situations
which can be interpreted geometrically in the plane or in space. Topics include: matrix operations,
systems of linear equations, determinants, eigenevectors and eigenvalues, properties of
Rn (with emphasis on R2 and R3), and applications of
each of these topics. Most computation will be done on TI-85 or equivalent technology. Prerequisite:
67-171, 67-122 with a grade of "C" or above in each.
67-273 Calculus III 4 cr. (Fall-Spring)
Vectors in two and three dimensions and vector functions. Multivariate differential and integral
calculus, partial derivatives and multiple integrals. Line and surface integrals. Prerequisite: 67-172
with a grade of C or above.
67-287 Elementary Topics in Mathematics1 cr.
Elementary level topics from such areas as: decision theory, game theory, graphs and networks,
linear programming, applications of calculus to biology, ecology, and the social sciences,
mathematical modeling, and statistics. Prerequisite: 67-104 or 67-108.
Statistical methods when the functional form of the population is unknown. Emphasis on applications
and comparison of methods. One and two sample tests, contingency tables, tolerance limits,
confidence intervals for means, tests of significance for some measures of correlation, and K-sample
tests. Prerequisites: 67-200 and a statistics course at the level of 67-201 or higher.
67-305/505 Statistics for Quality and Productivity 3 cr.
Statistical process control charts including Shewart and CUSUM. Design of experiments including
factorials, fractional factorials and designs to explore response surfaces. The roles of blocking,
confounding and randomization. The course will be about 25% statistical process control and about
75% design of experiments. Prerequisite: 67-302.
67-317/517 Probability and Statistics for Elementary and Middle School Programs4 cr.
An introduction to probability and statistics emphasizing problem solving and communication. Topics
include sample spaces, permutations and combinations, random variables, expected value,
probability distributions, hypothesis testing and statistical inference. This course will employ
technology and contain a historical component. Prerequisite: 67-104 or equivalent, 67-211 and 67-217, each with a grade of C or better.
67-319 Infinite Processes for Elementary and Middle School Programs4 cr.
An introduction to infinite processes; this course emphasizes problem solving and communication.
Topics include functions, continuity, limiting processes, rates of change, optimization, approximation
of areas and volumes, sequences and series. This course will employ technology and will contain a
historical component. (May not receive credit for both 67-319 and 67-171.) Prerequisite: 67-104 or
equivalent, 67-211 and 67-217, each with a grade of "C" or better.
67-331 Fundamentals of Geometry 2 cr. (Spring)
An introduction to the evolution of geometry, modern elementary geometry, transformation theory,
and modern axiomatic Euclidean geometry. Prerequisite: 67-222.
This course will survey the history of non-Euclidean geometry and develop the basic properties of
hyperbolic geometry. A consistency model will be constructed in the Euclidean plane and hyperbolic
trigonometry developed by the use of this model. Prerequisite: 67-331.
67-342/542 Abstract Algebra I 3 cr.
A survey course in modern algebra including such topics as: basic properties of the integers, a study
of groups and their properties with examples and applications, other systems including rings and
fields. Prerequisite: 67-222 with a grade of "C" or above.
An introduction to programming in Mathematica or a similar software package. The course begins by
exploring the numerical, algebraic and graphical capabilities of the software. Topics include lists,
functions and programming with applications to number theory, discrete mathematics, analysis and
probability. Prerequisite: 67-122 and 67-172.
Application and theory of linear programming. Primal and dual formulations, sensitivity analysis,
simplex method, transportation algorithm, and the assignment problem. Students will learn modeling
and how to apply linear programming to problems. Case studies are used. This course is appropriate
for mathematics students as well as students from other fields. Prerequisite: 67-256.
67-365 Math Modeling 2 cr.(Spring)
Research, analysis, and construction of mathematical models for "real world" problems. Application to
areas within and outside mathematics. Oral group presentations and a written technical report are
required. Prerequisite: completion of core plus 12 credits in math numbered above 300.
67-371/571 Differential Equations3 cr. (Spring)
An introductory course treating ordinary differential equations of the first and second order; linear
equations with constant coefficients; solutions using series, the Laplace transform, and numerical
methods. Prerequisite: 67-172.
A practical introduction to regression emphasizing applications rather than theory. Simple and
multiple regression analysis, basic components of experimental design, and elementary model
building. Both conventional and computer techniques will be used in performing the analyses.
Prerequisites: 67-200, 67-256, 67-301.
67-386/586 Linear Statistical Models 3 cr.
A unified approach to the application of linear statistical models in analysis of variance (ANOVA) and
experimental design. In ANOVA topics from single-factor ANOVA and multifactor ANOVA will be
considered. Experimental design will include randomized blocks, Latin squares, and incomplete block
designs. Prerequisites: 67-256, 67-302.
Selected readings and projects illustrating some of the special problems encountered by professional
statisticians in their roles as consultants, educators and researchers. Prerequisites: 67-401 and at
least two courses from 67-303, 67-305, 67-381, 67-385, 67-386.
67-413/613 Modern Algebra for Elementary and Middle School Programs4 cr.
An intuitive and investigative study of selected mathematical structures (groups, rings, integral
domains, fields and vector spaces), sets, operations and functions including historical aspects.
Emphasis is on problem solving. Prerequisite: 67-104 or equivalent, 67-211 and 67-217, each with a
grade of "C" or better.
67-415/615 Modern Geometry for Elementary and Middle School Programs 4 cr.
An informal approach to geometry. Topics are chosen from transformational (motion) geometry
(reflections, rotations, translations and glide-reflections), symmetry, fractal geometry, spatial
visualization, topology and graph theory including historical aspects. Emphasis is on problem solving
and reasoning using technology and math manipulative. The course will contain a historical
component. Prerequisite: 67-104, or equivalent, 67-211 and 67-217, each with a grade of "C" or
better..
67-446 Independent Study 1-3 cr.
See Independent Study under Course and Academic Advisement Policies information for general
course description, general prerequisites, and proper contract form requirements.
67-467/667 Advanced Calculus3 cr.
Real number properties and the topology of the real numbers. Limits, continuity, differentiation, and
integration. Sequences and infinite series. Prerequisite: 67-273 with a grade of "C" or above.
67-474 Honors: Thesis 1-6 cr.
Honors thesis projects include any advanced independent endeavor in the student's major field of
study: e.g. a written thesis, scientific experiment or research project, or creative arts exhibit or
production. Proposals (attached to Independent Study contract) must show clear promise of honors
level work and be approved by a faculty sponsor. Course title for transcript will be "Honors Thesis."
Completed projects will be announced and presented to interested students and faculty.
Prerequisites: Enrollment in University scholar program, junior standing.
Seminar emphasizing problem solving and mathematical modeling in Elem/Middle School programs.
Survey and study of research literature on the teaching and learning of mathematics, connections
between the other courses in the mathematics minor. Experience with units from demonstration
projects in middle school curriculum materials. Prerequisite: senior status with major in elementary
education and completion of 17 credits toward a minor in mathematics. | 677.169 | 1 |
Developed by Tina Fujita, James Hawker, and John Whitlock of Hillsborough Community College, these five curriculum guides integrate mathematical and biological concepts. These guides can be used in mathematics courses study the historical data on human population growth, and to compare the "natural" and "coalition" differential equation...
The Mathematical Association of America presents MathDL, an online collection providing a space for the MAA community to share research and learning materials. The site includes a math dictionary, recent news, MAA...
This page from the Analytical Sciences Digital Library provides a good introduction to data analysis in analytical chemistry. Topics include means, standard deviation, and deciding if two results are different at some... | 677.169 | 1 |
Maths under threat
Share via
There would be long-term negative effects on our intellectual and financial economies if the study of further maths is not preserved
Sir, We are deeply concerned about the likely impact of current A-level
reforms on mathematics. The subject's rising popularity could be reversed by
unintended consequences of reforms on maths in state and independent schools.
Maths is generally taught in a unique way. It is often setted, and
accelerated. Unlike any other subject, A-level maths requires six papers, or
modules, rather than four. It has two A levels: Maths, and the much harder
Further Maths. Both exams, however, have the same A-level status.
Two consequences of change radically threaten Maths. First, conditional offers
from top universities increasingly (and, in medicine, almost | 677.169 | 1 |
...The central theme is the notion of a limit, and how it leads into the concept of derivatives and integrals. These are abstract concepts, and often difficult to grasp for many students, but they are the fundamental concepts underlying calculus and require careful, interactive presentations. Pre | 677.169 | 1 |
inite Mathematics and Applied Calculus (with InfoTrac)
Summary
Capturing student interest with a wealth of relevant, real world applications, Stefan Waner and Steven Costenoble's FINITE MATHEMATICS AND APPLIED CALCULUS, 4th Edition makes the material come alive for students! Providing maximum flexibility with the use of technology, the book integrates the use of spreadsheets and graphing calculators with instructions for Microsoft Excel and the TI-83. This technology material is clearly delineated so instructors can use as much or as little as they would like for their course. The popular accompanying website also provides a wealth of interactive tutorials, exercises, and online support. Connecting with all types of teaching and learning styles, Waner/Costenoble supports a wide range of instructional paradigms: from traditional lecture to a hybrid course to distance learning.
Table of Contents
Functions and Linear Models
2
(68)
Functions from the Numerical and Algebraic Viewpoints
3
(12)
Functions from the Graphical Viewpoint
15
(12)
Linear Functions
27
(11)
Linear Models
38
(16)
Linear Regression (optional)
54
(16)
You're the Expert Modeling Spending on Internet Advertising
63
(4)
review test
67
(3)
Optional Internet Topic
New Functions from Old: Scaled and Shifted Functions
Systems of Linear Equations and Matrices
70
(54)
Systems of Two Linear Equations in Two Unknowns
71
(14)
Using Matrices to Solve Systems of Equations
85
(20)
Applications of Systems of Linear Equations
105
(19)
You're the Expert The Impact of Regulating Sulfur Emissions
117
(4)
review test
121
(3)
Matrix Algebra and Applications
124
(56)
Matrix Addition and Scalar Multiplication
125
(11)
Matrix Multiplication
136
(14)
Matrix Inversion
150
(11)
Input-Output Models
161
(19)
You're the Expert The Japanese Economy
175
(2)
review test
177
(3)
Linear Programming
180
(76)
Graphing Linear Inequalities
181
(11)
Solving Linear Programming Problems Graphically
192
(17)
The Simplex Method: Solving Standard Maximization Problems
209
(18)
The Simplex Method: Solving General Linear Programming Problems
227
(13)
The Simplex Method and Duality (optional)
240
(16)
You're the Expert Airline Scheduling
249
(3)
review test
252
(4)
The Mathematics of Finance
256
(46)
Simple Interest
257
(7)
Compound Interest
264
(12)
Annuities, Loans, and Bonds
276
(26)
You're the Expert Saving for College
295
(4)
review test
299
(3)
Sets and Counting
302
(46)
Sets and Set Operations
303
(10)
Cardinality
313
(9)
The Addition and Multiplication Principles
322
(9)
Permutations and Combinations
331
(17)
You're the Expert Designing a Puzzle
343
(2)
review test
345
(3)
Probability
348
(78)
Sample Spaces and Events
349
(13)
Estimated Probability
362
(9)
Empirical Probability
371
(9)
Probability and Counting Techniques (optional)
380
(9)
Abstract Probability
389
(8)
Conditional Probability and Independence
397
(14)
Bayes' Theorem and Applications
411
(15)
You're the Expert The Monty Hall Problem
420
(2)
rewiew test
422
(4)
Random Variables and Statistics
426
(60)
Random Variables and Distributions
427
(10)
Bernoulli Trials and Binomial Random Variables
437
(6)
Measures of Central Tendency
443
(12)
Measures of Dispersion
455
(13)
Normal Distributions
468
(18)
You're the Expert Spotting Tax Fraud with Benford's Law
478
(3)
review test
481
(5)
Optional Internet Topics
Sampling Distributions and the Central Limit Theorem
Confidence Intervals
Markov Systems
486
(54)
Markov Systems
487
(8)
Distribution Vectors and Powers of the Transition Matrix
495
(12)
Long-Range Behavior of Regular Markov Systems
507
(13)
Absorbing Markov Systems
520
(20)
You're the Expert Predicting the Price of Gold
532
(4)
review test
536
(4)
Nonlinear Models
540
(52)
Quadratic Functions and Models
541
(8)
Exponential Functions and Models
549
(15)
Logarithmic Functions and Models
564
(9)
Trigonometric Functions and Models (optional)
573
(19)
You're the Expert Epidemics
586
(3)
review test
589
(3)
Optional Internet Topics
Linear and Exponential Regression
Using and Deriving Algebraic Properties of Logarithms
Introduction to the Derivative
592
(76)
Average Rate of Change
594
(9)
The Derivative As Rate of Change: A Numerical Approach
603
(10)
The Derivative As Slope: A Geometric Approach
613
(9)
The Derivative As a Function: An Algebraic Approach
622
(11)
A First Application: Marginal Analysis
633
(9)
Limits and Continuity: Numerical and Graphical Approaches (optional)
642
(11)
Limits and Continuity: Algebraic Approach (optional)
653
(15)
You're the Expert Reducing Sulfur Emissions
661
(3)
review test
664
(4)
Optional Internet Topics
Sketching the Graph of the Derivative
Proof of the Power Rule
Continuity and Differentiability
Techniques of Differentiation
668
(58)
The Product and Quotient Rules
669
(10)
The Chain Rule
679
(11)
Derivatives of Logarithmic and Exponential Functions
690
(12)
Derivatives of Trigonometric Functions (optional)
702
(7)
Implicit Differentiation
709
(17)
You're the Expert Projecting Market Growth
717
(7)
review test
724
(2)
Optional Internet Topic
Linear Approximation and Error Estimation
Applications of the Derivative
726
(58)
Maxima and Minima
727
(12)
Applications of Maxima and Minima
739
(13)
The Second Derivative and Analyzing Graphs
752
(12)
Related Rates
764
(8)
Elasticity of Demand
772
(12)
You're the Expert Production Lot Size Management
778
(4)
review test
782
(2)
The Integral
784
(58)
The Indefinite Integral
785
(11)
Substitution
796
(9)
The Definite Integral As a Sum: A Numerical Approach
805
(10)
The Definite Integral As Area: A Geometric Approach
815
(9)
The Definite Integral: An Algebraic Approach and the Fundamental Theorem of Calculus
824
(18)
You're the Expert Wage Inflation
837
(3)
review test
840
(2)
Optional Internet Topic
Numerical Integration
Further Integration Techniques and Applications of the Integral
842
(58)
Integration by Parts
843
(7)
Area Between Two Curves and Applications
850
(12)
Averages and Moving Averages
862
(10)
Continuous Income Streams
872
(5)
Improper Integrals and Applications
877
(8)
Differential Equations and Applications
885
(15)
You're the Expert Estimating Tax Revenues
893
(5)
review test
898
(2)
Functions of Several Variables
900
Functions of Several Variables from the Numerical and Algebraic Viewpoints | 677.169 | 1 |
Precalculus Mathematics for Calculus
9780534492779
ISBN:
0534492770
Edition: 5 Pub Date: 2005 Publisher: Thomson Learning
Summary: This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, so that when students finish the course, they have a solid foundation in the principles of mathematical thinking. This comprehensive, evenly paced book provides complete coverage of the function concept and integrates subs...tantial graphing calculator materials that help students develop insight into mathematical ideas. The authors' attention to detail and clarity, as in James Stewart's market-leading Calculus text, is what makes this text the market leader.
Redlin, Lothar is the author of Precalculus Mathematics for Calculus, published 2005 under ISBN 9780534492779 and 0534492770. Two hundred seventy two Precalculus Mathematics for Calculus textbooks are available for sale on ValoreBooks.com, sixty two used from the cheapest price of $35.61, or buy new starting at $258.59.[read more]
Ships From:Multiple LocationsShipping:Standard, ExpeditedComments:Book has signs of cover wear. Inside pages may have highlighting, writing and/or underlining. Use... [more] [ | 677.169 | 1 |
Algebra
Description
Extends the application of the familiar algebraic laws for adding and multiplying numbers, matrices and vectors to other contexts. Depending on just which laws are satisfied, the algebraic structures studied are called groups, rings and fields. These concepts underlie much of modern mathematics, and are essential background for research in any area of pure mathematics.
Availability
Callaghan
Semester 1 - 2015
Semester 1 - 2016
Learning Outcomes
1. Hold an algebraic background consistent with current research in the discipline
2. Be able to work within abstract algebraic frameworks
3. Had been provided with an overview of algebra covered in previous years of study. | 677.169 | 1 |
Product Description
A bridge to upper-level math, BJU Press' Fundamentals of Math Grade 7 textbook will ensure students have a solid foundation in the skills they'll need for 8th grade and beyond! Whole numbers, decimals, number theory, fractions, rational numbers, percents, measurement, geometry, area/volume, probability/statistics, integers, algebra, relations/functions, and logic/set theory are all taught in detail with review to keep concepts fresh. Integrating biblical principles with "Math in Use" segments, students are taught to see God as involved in all subjects, while problem solving sections allow for thinking skill development as students use problem solving methods to reach a solution. Chapters include clear explanations of new concepts, plenty of practice, "skill check" reviews, example problems, and a cumulative review of the new concept. 676 pages, softcover.
This resource is also known as Bob Jones Fundamentals of Math Grade 7 Student Text, 2nd | 677.169 | 1 |
Tagged Questions
For questions related to the teaching and learning of mathematics. Note that Mathematics Educators StackExchange may be a better home for narrowly scoped questions on specific issues in mathematics education.
Just a quick question. I teach some undergraduate mathematics. I like to produce notes that contain exercises.
Sometimes I make my own exercises, sometimes I take exercises from various sources and ...
I am not sure whether this is the right forum for this question, so it might be migrated somewhere else; but, it is, I think, certainly germane to the wider idea of pursuing interesting questions and ...
To do the story short, I became interested in mathematics in a serious way like two years ago, I'm currently in graduate school, but the problem is that my mathematical background is not as good as ...
Ok, so I got an answer wrong on my exam because my teacher says that the function $f(x)=\frac{(x+2)x}{x+2}=x$ but I insist that it isn't defined for x=-2. If it was then $\frac{x}{x}=1$ for all reals ...
I have been advised by many people to learn from scratch. So I decided to learn it. But I have the following questions in my mind.
Can we skip "the Trinity" and learn something else directly? ("the ...
I am currently studying Pre-Calculus on my own. I have a few texts I am working with but feel like I could learning a lot more than I am.
When people typically ask these kind of questions the common
This winter I am planning on teaching a small seminar (20 lectures 45 minutes each) for high school students. I was was given the freedom to choose the topic of the seminar, but it is supposed to be ...
When reading mathematical books written for a general audience, or even searching questions on this site, the adjective beautiful is often used to describe mathematics. My question is whether there ...
Flexagons strike me as objects that would admit investigation in a first course in modern algebra. I'm surprised to be unable to find a reference discussing flexagons using modern algebra language. ...
In my experience, many introductory engineering mathematics textbooks these days tend to skip proofs and discuss logic only in the context of digital electronics. On the other hand, I can imagine that ...
Let $P$ be a mathematical statement or a mathematical problem. I am looking for a couple of nice examples for $P$ that satisfy the following criteria:
Given two (or more) mathematical points of view ...
The use of matrix multiplication is usually given with graphics initially (scalings, translations, rotations, etc). Then there are more in-depth examples such as counting the number of walks between ...
I am tutoring several talented students, middle school level and early high school level, in mathematics. I am always looking for new sources from which to draw questions. Can anyone recommend books, ...
Most universities have a 3rd year undergraduate analysis course in which metric spaces are studied in depth (compactness, completeness, connectedness, etc...). However, in practice it seems that most ...
I'm hoping the userbase here doesn't mind if I do a little crowd-sourcing.
I'm curious to find out about popular general-interest mathematics or statistics classes that are offered universities that ...
I'm currently the teaching assistant for a course that serves as an introduction to rigorous proofs, and I've noticed some of my students have a tendency to try and use a sort of "backwards reasoning" ...
I want to introduce (dependent) type theory to some friends having background in mathematical logic and set theory.
To make this introduction easy I would like to give an informal presentation that ...
It is a common practice to have students of elementary algebra infer the domain of a function as an exercise. I believe this is contrary to the spirit of the definition of a function as a collection ...
I am a high school student wanting to major in Mathematics in the future. I started to like Mathematics recently, starting a year ago and I watched some interesting math videos on YouTube for fun (ex: ...
I am looking for a book which contains some ideas on introducing a child to mathematics. I am not particularly looking for a textbook to be used as part of the teaching (though feel free to mention ...
This is a question on the remainders of integer division from my student.
Notations.
Let $p$ be a positive odd prime integer.
We write $r_{i,j}$ for the remainder of $i \times j \div p$.
Now for an ... | 677.169 | 1 |
CBSE students will find TARGET CBSE Mathematics (Class - XII) a handy companion, both for revision and preparing for exams.
Summary Of The Book
TARGET CBSE Mathematics (Class - XII) is loaded with useful features that will prove to be a great help to students. Each of the chapters feature a section called 'Take a Look' which summarizes and highlights the important parts of that chapter. There are several exercises with both short and long questions for students to test what they have studied. The book also contains HOTS-based and NCERT questions along with the answers.
The book features questions based on the CBSE-compliant marking pattern. These include one, two, three, and five mark questions. Objective questions like True or False, Reasoning, Fill-in the blanks, and more are also covered in this book. At the end of each chapter, self-assessment tests are included for students to put their knowledge to test and decipher how much they have grasped.
There are also sample question papers along with the solutions, allowing students enough scope to practise before their exams and give themselves mock tests. The board examination papers of previous years are also provided for students to understand how their papers will be set.
Some of the chapters covered in this book include inverse trigonometric functions, three-dimensional geometry, continuity and differentiability, linear programming, relations and functions, area of bounded regions, determinants and matrices, all based on the CBSE syllabus.
TARGET CBSE Mathematics (Class - XII) features a glossary for students to understand important terms from the book better. The book includes question papers from the 2011 and 2012 CBSE Board Examinations and their solutions.
Top reviews
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Mathematics for Business, Finance and Economics…
See more details below
Paperback
Overview introduction to mathematical concepts and methods used in the analysis of business management, finance and economics. Much of the coverage is also relevant for students of other social sciences at university level where a quantitative approach is employed. The ten chapters of the book are each carefully designed with a graduated approach to lead students through from a basic level to more advanced concepts and applications, enabling both students and teachers to choose the level appropriate for their course. The text is 'software aware' and most chapters contain illustrative computer programs relevant to the material covered, without making prior knowledge or extensive use of computers a requirement. Student exercises and comprehensive worked solutions are provided throughout. | 677.169 | 1 |
MATHEMATICS SYLLABUS
MATRICES AND DETERMINANTS:
Types of matrices, addition and multiplication
of matrices-Properties, computation of inverses,
solution of system of linear equations by matrix
inversion method. Rank of a Matrix – Elementary
transformation on a matrix, consistency of a
system of linear equations, Cramer's rule,
Non-homogeneous equations, homogeneous linear
system, rank method.
THEORY OF EQUATIONS,
SEQUENCE AND SERIES
Quadratic equations – Relation between roots and
coefficients – Nature of roots – Symmetric
functions of roots – Diminishing and Increasing
of roots – Reciprocal equations. Arithmetic,
Geometric and Harmonic Progressions-Relation
between A.M., G. M ., and H.M. Special series:
Binomial, Exponential and Logarithmic series –
Summation of Series. VECTOR ALGEBRA
Scalar Product – Angle between two vectors,
properties of scalar product, applications of
dot products. Vector Product – Right handed and
left handed systems, properties of vector
product, applications of cross product. Product
of three vectors – Scalar triple product,
properties of scalar triple product, vector
triple product, vector product of four vectors,
scalar product of four vectors. Lines – Equation
of a straight line passing through a given point
and parallel to a given vector, passing through
two given points, angle between two lines. Skew
lines – Shortest distance between two lines,
condition for
two lines to intersect, point of intersection,
collinearity of three points. Planes – Equation
of a plane, passing through a given point and
perpendicular to a vector, given the distance
from the origin and unit normal, passing through
a given point and parallel to two given vectors,
passing through two given points and parallel to
a given vector, passing through three given
non-collinear points, passing through the line
of intersection of two given planes, the
distance between a point and a plane, the plane
which contains two given lines, angle between
two given planes, angle between a line and a
plane. Sphere – Equation of the sphere whose
centre and radius are given, equation of a
sphere when the extremities of the diameter are
given.
ELECTROSTATICS
Frictional electricity, charges and their conservation;
Coulomb's law-forces between two point electric charges – Forces
between multiple electric charges-superposition principle.
Electric field – Electric field due to a point charge, electric
field lines; Electric dipole, electric field intensity due to a
dipole – behaviour of dipole in a uniform electric
field-application of electric dipole in microwave oven. Electric
potential – potential difference-electric potential due to a
point charge and due to a dipole-Equipotential surfaces –
Electrical potential energy of a system of two point charges.
Electric flux-Gauss's theorem and its applications to find field
due to (i) infinitely long straight wire (ii) uniformly charged
infinite plane sheet (iii) two parallel sheets and (iv)
uniformly charged thin spherical shell (inside and outside)
Electrostatic induction-capacitor and capacitance – Dielectric
and electric polarisation – parallel plate capacitor with and
without dielectric medium – applications of capacitor – energy
stored in a capacitor – Capacitors in series and in parallel –
action of points –Lightning arrester – Van de Graaff generator.
EFFECTS OF ELECTRIC CURRENT
Heating effect – Joule's law – Experimental verification-Thermoelectric effects
– Seebeck effect – Peltier effect – Thomson effect – Thermocouple, thermoemf,
neutral and inversion temperature-Measurement of thermo emf using potentiometer
– Thermopile. Magnetic effect of electric current – Concept of magnetic field,
Oersted's experiment – Biot-Savart law – Magnetic field due to an infinitely
long current carrying straight wire and circular coil – Tangent galvanometer –
Construction and working – Bar magnet as an equivalent solenoid – magnetic field
lines. Ampere's circuital law and its application to straight and Toroidal
solenoids. Force on a moving charge in uniform magnetic field and electric field
– cyclotron – Force on current carrying conductor in a uniform magnetic field –
forces between two parallel current carrying conductors – definition of ampere.
Torque experienced by a current loop in a uniform magnetic field – moving coil
galvanometer – Conversion to ammeter and voltmeter – Current loop as a magnetic
dipole and its magnetic dipole moment – Magnetic dipole moment of a revolving
electron.
CHEMICAL EQUILIBRIUM AND CHEMICAL KINETICS
Applications of law of mass action – Le Chatlier's principle.
Rate expression and order of a reaction, zero order, first order
and pseudo first order reaction – half life period,
determination of rate constant/order of reaction Temperature
dependence of rate constant – Arrhenius equation, activation
energy.
TAXONOMY OF LIVING ORGANISMS
Linnaeus and binomial nomenclature – history and types of classification –
status of bacteria and viruses – botanical garden and herbaria – zoological
parks and museums and economical and cultural importance – salient features of
various plant groups – classification of angiosperms up to series level (Bentham
and Hooker's system) – salient features of nonchordates upto phylum level and
chordates up to class level. | 677.169 | 1 |
A First Course in Probability and Markov Chains
Provides an introduction to basic structures of probability with a view towards applications in information technology
A First Course in Probability and Markov Chains presents an introduction to the basic elements in probability and focuses on two main areas. The first part explores notions and structures in probability, including combinatorics, probability measures, probability distributions, conditional probability, inclusion-exclusion formulas, random variables, dispersion indexes, independent random variables as well as weak and strong laws of large numbers and central limit theorem. In the second part of the book, focus is given to Discrete Time Discrete Markov Chains which is addressed together with an introduction to Poisson processes and Continuous Time Discrete Markov Chains. This book also looks at making use of measure theory notations that unify all the presentation, in particular avoiding the separate treatment of continuous and discrete distributions.
A First Course in Probability and Markov Chains:
- Presents the basic elements of probability. - Explores elementary probability with combinatorics, uniform probability, the inclusion-exclusion principle,
independence and convergence of random variables. - Features applications of Law of Large Numbers. - Introduces Bernoulli and Poisson processes as well as discrete and continuous time Markov Chains with discrete states. - Includes illustrations and examples throughout, along with solutions to problems featured in this book.
The authors present a unified and comprehensive overview of probability and Markov Chains aimed at educating engineers working with probability and statistics as well as advanced undergraduate students in sciences and engineering with a basic background in mathematical analysis and linear algebra.
SHOW LESS
READ MORE >
"This is useful not only as review material to mathematics students, but also to students in the engineering and information sciences which may be curious about theoretically understanding the material presented before." (Zentralblatt MATH, 1 AugustA First Course in Probability and Markov Chains
ASK A QUESTION
Product: A First Course in Probability and Markov Chains | 677.169 | 1 |
32
tion of original theorems and to the solution of practical problems.
Three hours per week throughout the year.
Solid Geometry. Wentworth's Solid Geometry.
Two hours per week throughout the year, or equivalent.
Trigonometry I....
34
with the forms of rigid deductive reasoning, and to develop accuracy of statement and the power of logical proof. Considerable time is devoted to the demonstration of original theorems and to the solution of practical problems.
Three hours...
39
Two hours per week throughout the year, or equivalent.
Trigonometry I. Formulae for Trigonometric functions with graphic illustration, Cartesian ordinates and abscissa, solution of right triangle with and without logarithmic tables,...
19
help students recall the procedures of simplifying expressions. Opportunities are available on the
Internet for students to create and submit lyrics for remembering different math formulas. This
opportunity encourages understanding of the | 677.169 | 1 |
Mathematics: Its Power and Utility, 10th Edition
Intimidated by mathematics? This book will help to ease your anxiety and build your confidence. MATHEMATICS: ITS POWER AND UTILITY, Tenth Edition, combines a unique and simple practical focus on real-world problem solving allowing you to appreciate the beauty and value of math while mastering the basic concepts and skills you will need to apply to your daily life. The first half of the book explores the POWER and historic impact of mathematics, and helps you harness that power by developing an effective approach to problem solving. The second half builds upon this foundation by exploring the UTILITY and application of math concepts to a wide variety of real-life situations: such as money management; handling of credit cards; inflation; purchase of a car or home; the effective use of probability, statistics, and surveys; and many other topics of interest. MATHEMATICS: ITS POWER AND UTILITY, Tenth Edition, assumes a basic working knowledge of arithmetic, making it approachable even if you have no exposure to algebra or little confidence in your current math skills90.99
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Master Math: Geometry
Paperback
Overview for scientists and engineers who need to look up principles, definitions, explanations of concepts, and pertinent examples. It provides everything a high school or first year college student needs to know including: explanation of deductive reasoning, how to perform proofs, definitions, theorems, and postulates, Examples pertaining to points, lines, plans, angles, and ratios, coverage on triangles, quadrilaterals, polygons, and much more! | 677.169 | 1 |
Elements Of Modern Algebra
Elements Of Modern Algebra
Elements of Modern Algebra
Elements of Modern Algebra, 7th Edition
Summary
Succeed in modern algebra with ELEMENTS OF MODERN ALGEBRA! With a user-friendly format, this mathematics text provides you with the tools you need to get a good grade. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem solving skills. | 677.169 | 1 |
Course Descriptions
MTH5210 Numbers and Operations for Elementary Teachers This course is designed to use the Common Core State Standards for Mathematics to reintroduce the elementary teacher to the problem-solving aspect of mathematics and to assist the student in gaining confidence with mathematical thinking. The elementary teacher will gain a solid foundation in applying and analyzing the relevant concepts inherent to the CCSSM. The students will develop and present a lesson on numbers and operations incorporating the CCSSM and researched best practices. Emphasis will be placed on problem solving, numerations systems and sets, whole numbers and their operations, integers, rational numbers, proportional reasoning, decimals, and percents.
MTH5220 Algebraic Thinking for Elementary Teachers This course uses the Common Core State Standards for Mathematics to reintroduce the elementary teacher to algebraic thinking through problem solving and investigations. The elementary teacher will gain a solid foundation in applying and analyzing the relevant concepts inherent to the CCSSM. The students will develop and present a lesson on algebraic thinking incorporating the CCSSM and researched best practices. Emphasis will be placed on real numbers, generating and analyzing patterns, algebraic expressions, one-variable equations, functions, and proportional relationships.
MTH5230 Geometry for Elementary Teachers This course uses the Common Core State Standards for Mathematics to reintroduce the elementary teacher to the concepts and applications of geometry. The elementary teacher will gain a solid foundation in applying and analyzing the relevant concepts inherent to the CCSSM. The students will develop and present a lesson on geometry incorporating the CCSSM and researched best practices. Emphasis will be placed on analysis and comparison of geometric shapes, lines and angles, classification of two-dimensional figures by properties of their lines and angles, and the coordinate plane.
MTH5240 Measurement and Data Analysis for Elementary Teachers This course uses the Common Core State Standards for Mathematics to reintroduce the elementary teacher to the concepts and applications of measurement and data analysis. The elementary teacher will gain a solid foundation in applying and analyzing the relevant concepts inherent to the CCSSM. The students will develop and present a lesson on measurement and/or data analysis incorporating the CCSSM and researched best practices. Emphasis will be placed on units of measurements, perimeter, area, volume, unit conversions, concepts of angles and angle measurement, representation and interpretation of data.
NSM5210 Physical Science Foundations This course provides the student with an understanding of the foundations of scientific theory and practices in the physical sciences of chemistry and physics, and will deepen the content knowledge of elementary educators in these areas. Content emphasis will reflect the disciplinary core ideas in physical science, including matter and its interactions, motion and stability, energy, and waves and their applications in technologies for information transfer. Topics will be related to their applications (e.g. pharmaceuticals, alternative energy, and medicine) in the natural world.
NSM5220 Earth and Space Science This course provides the student with an understanding of the foundations of scientific theory and practices in the earth and space sciences, and will deepen the content knowledge of elementary educators in these areas. The purpose is to explore, create, and utilize a variety of earth and space science topics, making connections with mathematics that are appropriate to and motivating for the elementary school child. Content emphasis will reflect the disciplinary core ideas in earth and space sciences, including earth's place in the universe, earth's systems, and earth and human activity.
NSM5230 Life Science I This course introduces the disciplinary core ideas in the life sciences with mathematical connections. It enables students to increase their proficiency in teaching elementary math and science by deepening their understanding of biological content. Students will study historical foundations of scientific theory and inquiry, and practice the skills of asking questions, analyzing and interpreting data, constructing explanations, and engaging in argument from evidence. Content emphasis will reflect the structure and function of cells, biological evolution, heredity and genetics, and the interactions, energy and dynamics of ecosystems.
NSM5900 Field Experience in STEM Each candidate is expected to take part in a flexible field experience with a math and or science professional organization. The goal is to give each participant an opportunity to work with a scientist or mathematician on a project during this experience. The participants will be given the flexibility to choose an experience that is most beneficial to them as long as it is approved by the program director. It is expected that connections will be developed with professionals in the field of math and science that can be utilized in the classroom.
NSM6100 Educational Research in Mathematics and ScienceI This course has the dual purpose of providing an educational research background in the STEM field as well as the quantitative knowledge necessary to conduct such research. The course investigates recent developments and relevant research in STEM education and initiates a professional conversation about the major issues in teaching mathematics and science. Emphasis will be placed on methods of critically reading and analyzing research reports and the development of a STEM research proposal. Topics include reading and evaluation of original research, issues of validity and reliability in research, assembling research writing components, and an introduction to statistical inference. Prerequisite: NSM5100
NSM6200 Educational Research in Mathematics and ScienceII This course is a continuation of Educational Research in Math and Science I. The teacher will analyze data collected from the implementation of a previously identified STEM research project. Participants will complete their projects, submit a written report of their research, and present their findings to other program participants and at local and/or national conferences. Prerequisite: NSM6100
NSM6230 Life Science II This course covers additional topics in the biological sciences with mathematical connections. Life Science II surveys the animal kingdom, including the interaction of form and function in anatomy and physiology. Lab experiences will be incorporated whenever feasible. NSM 5300 Life Science I is a prerequisite for this course. This course is aligned to the national science standards. Prerequisite: NSM5230
NSM6240 Integrated Applications in STEM This course, the capstone of the program, provides the student with an opportunity to further explore the interdisciplinary nature of STEM content and applications. Topics will be drawn from all of the science and mathematical disciplines subject to the discretion of the instructor. The course activities will derive from a problem-based model of inquiry.
NSM6280 Selected Topics in Mathematics and Science Advanced topics in mathematics, science, technology, and engineering will be introduced in this course. The course will expand the breadth and depth of the students' content knowledge in various STEM fields and will emphasize the interdisciplinary nature of STEM.
NSM6290 Selected Topics in Mathematics and Science Education Current topics in mathematics and science education will be introduced in this course. Recent article and research publication will be shared and discussed. Students will review and implement latest research in STEM education. | 677.169 | 1 |
Introduction to Numerical Methods and MATLAB:Implementations and Applications
Pearson
E
115.10
approx. 7-9 days
Introduction to Numerical Methods and MATLAB:Implementations and Applications
Description
Designed to give undergraduate engineering students a practical andrigorous introduction to the fundamentals of numerical computation.
This book is a thoroughly modern exposition of classic numerical methods using MATLAB. The fundamental theory of each method is briefly developed. Rather than providing a detailed numerical analysis, the behavior of the methods is exposed by carefully designed numerical experiments. The methods are then exercised on several nontrivial example problems from engineering practice. The material in each chapter is organized as a progression from the simple to the complex. This leads the student to an understanding of the sophisticated numerical methods that are part of MATLAB. An integral part of the book is the Numerical Methods with MATLAB (NMM) Toolbox, which provides 150 programs and over forty data sets. The NMM Toolbox is a library of numerical techniques implemented in structured and clearly written code.
Features
Clarity-Development of the numerical methods is self-contained, complete, and uncluttered. Each chapter begins with the simplest routine for a particular class of problems, and then develops progressively more sophisticated routines. The goal is not necessarily to be exhaustive, but rather to introduce more powerful methods as enhancements to simpler methods.
At the end of the chapter the student is prepared to use the built-in MATLAB routines correctly and with confidence. Ex.___
Emphasis Of Application Over Theory-The mathematical foundation of each method is developed, but the emphasis of the presentation is on the application of numerical methods.
The text is well-suited to engineering students who need a rigorous presentation of the numerical algorithms, without getting bogged down in a theoretical treatment of each method. Ex.___
Companion Website-With many support resources.
Numerical Experiments-Behavior of the numerical methods is demonstrated by numerical experiments instead of by mathematical proof. The theoretical performance (e.g. convergence rate, truncation error) of a method is stated and then verified by solving a well-defined problem with known solution.
MATLAB Reference-The book contains an extensive reference to using MATLAB. This includes interactive (command line) use of MATLAB, MATLAB programming, plotting, file input and output.
NMM Toolbox-The code supplied with the book is organized into a library of reusable components. All programs in the NMM Toolbox are structured, concise, efficient, and use the MATLAB idiom. The Toolbox contains almost 150 programs and over forty data sets from a variety of applications.
Once the NMM Toolbox is installed readers can execute all of the examples in the book and apply the NMM Toolbox code to problems of their own choosing. Ex.___
Over 130 Examples-Each chapter contains a large number of examples of two basic types. One type of example demonstrates a principle or numerical method in the simplest possible terms. Another type of example demonstrates how a particular method can be used to solve a more complex practical problem.
Over 300 Problems-End-of-Chapter problems cover all aspects of the methods presented in the book. Each problem is rated on a difficulty/effort scale.
Flexibility-The book provides more material than would usually be covered in a one-semester course. The text is heavily cross-referenced so that supporting material from other chapters can be easily located.
Supplemental Material-Study guides, lecture slides, and in-class worksheets are available via the web.
This extensive supplemental material makes it easy to adopt and adapt the text according to the interests of an individual instructor. Ex.___
Back Cover
This book is an introduction to MATLAB and an introduction to numerical methods. It is written for students of engineering, applied mathematics, and science. The primary objective of numerical methods is to obtain approximate solutions to problems that are not obtainable by other means. This book teaches how the core techniques of numerical methods are used to solve otherwise unsolvable problems of modern technological significance.
The outstanding pedagogical features of this book are:
use of numerical experiments as a means of learning why numerical methods work and how they fail
a separate chapter reviewing the basics of applied linear algebra, and how computations involving matrices and vectors are naturally expressed in MATLAB
use of a range of examples from those that provide a succinct illustration of a basic algorithm, to those that develop solutions to substantial problems in engineering
consistent use of well-documented and structured code written in the MATLAB idiom
a library of general purpose routines-the NMM Toolbox-that are readily applied to new problems
a progressive approach to algorithm development leading the reader to an understanding of the more sophisticated routines in the built-in MATLAB toolbox.
The primary goals of the book are to provide a solid foundation in applied computing, and to demonstrate the implementation and application of standard numerical methods to practical problems. This is achieved by a systematic development of techniques beginning with the simple and ending with the sophisticated. Good programming practice is used throughout to show the reader how to clearly express and document computational ideas. By providing an extensive library of working codes, as well as an exposition of the methods used by the built-in MATLAB toolbox, the reader is challenged by the application of numerical methods to practical problems. This bypasses the ritual of forcing the reader to reinvent simple programs that fail on more technologically significant, practical problems.
Author
GERALD RECKTENWALD is an Associate Professor of Mechanical Engineering at Portland State University, and regularly teaches courses in Numerical Methods.
Introduction to Numerical Methods and MATLAB:Implementations and Applications | 677.169 | 1 |
Modern Algebra: An Introduction, 6th Edition
The new sixth edition of Modern Algebra has two main goals: to introduce the most important kinds of algebraic structures, and to help students improve their ability to understand and work with abstract ideas. The first six chapters present the core of the subject; the remainder are designed to be as flexible as possible. The text covers groups before rings, which is a matter of personal preference for instructors. Modern Algebra, 6e is appropriate for any one-semester junior/senior level course in Modern Algebra, Abstract Algebra, Algebraic Structures, or Groups, Rings and Fields. The course is mostly comprised of mathematics majors, but engineering and computer science majors may also take it as well.
VII. The Familiar Number Systems
28 Ordered Integral Domains
29 The Integers
30 Field of Quotients. The Field of Rational Numbers
31 Ordered Fields. The Field of Real Numbers
32 The Field of Complex Numbers
33 Complex Roots of Unity
Durbin takes great care in helping students to understand and
work with abstract ideas and proofs in a first course in modern
algebra.
Each problem set is organized by level of difficulty.
The early problems in each set are grouped in pairs, with solutions
to odd-numbered problems in the solutions appendix.
The material is arranged so that most of the sections can be
covered in one lecture.
The flexibility of the text makes it easy for professors to
fit the book to their own students and course goals. The first six
chapters present the core of the subject, while the subsequent
chapters can be determined by individual needs.
Sections are short with many examples and explanations, so the
students do not feel overwhelmed by the material.
Applications are included to help motivate students and to
show the usefulness of modern algebra. | 677.169 | 1 |
Related Links
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Mathematics Curriculum
Mathematics includes an introduction to the principle branches of mathematics: calculus, algebra, probability, statistics, and analysis with emphasis on application of mathematics to the sciences and social sciences.
The teacher certification program offers certification in secondary mathematics teaching. Students interested in this program should see the Certification Coordinator in the Education program for specific requirements. | 677.169 | 1 |
PERC 2008 Abstract Detail Page
An upper level E&M course (i.e. based on Griffiths) involves the extensive integration of vector calculus concepts and notation with abstract physics concepts like field and potential. We hope that students take what they have learned in their math classes and apply it to help represent and make sense of the physics. This poster looks at how students in an upper level E&M course interpret (i) mathematical notation used to represent vectors and vector fields and (ii) diagrams used to represent vector fields. I present preliminary data from student interviews and paper and pencil worksheets that suggest some difficulties with interpretation are related to ambiguities in notation that are context dependent. | 677.169 | 1 |
: Graphs and Models, 2/e covers college-level algebra and is appropriate for a one-term, graphing calculator required, college algebra course. A course in intermediate algebra is a prerequisite for the text, although Chapter R provides sufficient review to unify the diverse backgrounds of most students. The approach of this text is more interactive than most precalculus texts and the goal of the author team is to enhance the learning process through the use of technology and to provide as much support and help for students as possible. | 677.169 | 1 |
Students are introduced to integer programming through practical problems in which they formulate decisions using 0-1 variables, by entering these integer variables into a decision matrix in a spreadsheet and manipulating the spreadsheet to evaluate alternative decision combinations. Activity sheets guide students step by step through the basic process. A 14-page resource for the teacher provides background to the lesson, describes extensions that include additional constraints, and poses real-life applications through case studies from businesses. Blackline masters, complete solutions to problems, and Internet extensions are also included. (author/sw)
Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.
Find the expected payoff for a game of chance. For example, find the expected winnings from a state lottery ticket or a game at a fast-food restaurant.
Evaluate and compare strategies on the basis of expected values. For example, compare a high-deductible versus a low-deductible automobile insurance policy using various, but reasonable, chances of having a minor or a major accident.
HSS-MD.B.7
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).
Ohio Mathematics Academic Content Standards (2001)
Mathematical Processes Standard
Benchmarks (8–10)
A.
Formulate a problem or mathematical model in response to a specific need or situation, determine information required to solve the problem, choose method for obtaining this information, and set limits for acceptable solution.
E.
Use a variety of mathematical representations flexibly and appropriately to organize, record and communicate mathematical ideas.
Benchmarks (11–12)
A.
Construct algorithms for multi-step and non-routine problems.
J.
Apply mathematical modeling to workplace and consumer situations, including problem formulation, identification of a mathematical model, interpretation of solution within the model, and validation to original problem situation.
Principles and Standards for School Mathematics
Problem Solving Standard
Solve problems that arise in mathematics and in other contexts
Representation Standard
Create and use representations to organize, record, and communicate mathematical ideas
Select, apply, and translate among mathematical representations to solve problems
Use representations to model and interpret physical, social, and mathematical phenomena | 677.169 | 1 |
052159Set Theory for the Working Mathematician (London Mathematical Society Student Texts)
This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory, culminating in a proof of Zorn's Lemma and a discussion of some of its applications. The author then develops the notions of transfinite induction and descriptive set theory, with applications to the theory of real functions. The final part of the book presents the tools of "modern" set theory: Martin's Axiom, the Diamond Principle, and elements of forcing. Written primarily as a text for beginning graduate or advanced level undergraduate students, this book should also interest researchers wanting to learn more about set theoretical techniques applicable to their fields | 677.169 | 1 |
...
Show More basic addition to algebraic equations. Lots of students feel they got lost somewhere between learning to count to ten and their first day in an algebra class, but help is here!Begin with basic topics like interpreting patterns, navigating the number line, rounding numbers, and estimating answers. You will learn and review the basics of addition, subtraction, multiplication, and division. Do remainders make you nervous? You'll find an easy and painless way to understand long division. Discover how to apply the commutative, associative, and distributive properties, and finally understand basic geometry and algebra. Find out how to:Properly use negative numbers, units, inequalities, exponents, square roots, and absolute valueRound numbers and estimate answersSolve problems with fractions, decimals, and percentagesNavigate basic geometryComplete algebraic expressions and equationsUnderstand statistics and setsUncover the mystery of FOILingAnswer sample questions and check your answersComplete with lists of ten alternative numeral and number systems, ten curious types of numbers, and ten geometric solids to cut and fold, Basic Math and Pre-Algebra Workbook For Dummies will demystify math and help you start solving problems in no time | 677.169 | 1 |
Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied.
Introduction to manifolds
".Read more...
Abstract:
In this streamlined introduction to the subject, the theory of manifolds is presented to help the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute a manifold's de Rham cohomology.Read more...
Reviews
Editorial reviews
Publisher Synopsis
From the reviews: "An introduction to the formalism of differential and integral calculus on smooth manifolds. ... Many prospective readers of Bott and Tu will welcome this volume. ... Summing Up: Recommended. Lower-division undergraduates." (D. V. Feldman, CHOICE, Vol. 45 (10), June, 2008) "An Introduction to Manifolds is split up into eight parts, well organized, well written, and, as Tu claims, readable. ... This excellent and accessible book also comes equipped with plenty of examples and exercises, whence it will serve well as both a classroom text and a source for self-study. Indeed, I propose to use it myself, given that I am one of the non-experts ... ." (Michael Berg, MathDL, April, 2008) "A book which ... covers all the essential topics in differentiable manifolds theory, and sufficiently elementary so that it can be read and understood with only minimal prerequisites-all this in less than 360 pages. The book is divided into seven parts, plus four appendices. ... The added value of the book lies mainly in the simplicity, the clearness and the concision of the exposition. ... is certainly one of the most readable introductions to differential geometry." (Ahmad El Soufi, Mathematical Reviews, Issue 2008 k) "The textbook under review is very well-written and self contained. ... It extends the calculus of curves and surfaces to higher dimensions. The higher dimensional analogues of smooth curves and surfaces are called manifolds. ... This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study." (Ion Mihai, Zentralblatt MATH, Vol. 1144, 2008)Read more...
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schema:Review ; schema:itemReviewed < ; # Introduction to manifolds schema:reviewBody ""." ; . | 677.169 | 1 |
Solvers over Regions
The Wolfram Language deeply integrates regions into high-level solvers, including the ability to integrate or solve partial differential equations over regions, solve equations and inequalities with region constraints, or optimize over regions. The results can be either symbolic and exact or numeric and approximate. | 677.169 | 1 |
Find a West Mclean Math worked for over 40 years as an engineer applying math to the solution of real-world problems. Algebra is the abstraction of basic arithmetic, using letters to stand in for specific known or unknown numbers. The abstract notation of algebra often gives new students difficulty, but the concept, when properly explained, is not difficult | 677.169 | 1 |
Better student preparation needed for university maths: UK study
August 1, 2012
Moving from sixth form, or college, into higher education (HE) can be a challenge for many students, especially those who start mathematically demanding courses. Life prior to university focuses on achieving maximum examination success to be sure of a place. Faced with this pressure, school and college maths courses pay little attention to preparing students to use maths in other areas of study according to a project funded by the Economic and Social Research Council (ESRC).
A student's ability to apply mathematical reasoning is critical to their success, especially in HE courses like science, technology, engineering and medicine. The study, undertaken by Professor Julian Williams, Dr Pauline Davis, Dr Laura Black, Dr Birgit Pepin of the University of Manchester and Associate Professor Geoffrey Wake from the University of Nottingham, shows that it is important to understand how students can prepare for the 'shock to the system' they face and how they can be given support at school, college and university to help in the transition.
The researchers found that students were not fully aware of the importance of the mathematical content in the courses they had joined at university, and particularly how to apply maths in practice.
Associate Professor Geoffrey Wake states, "Different teaching styles of university lecturers and the need for autonomously-managed learning, where students need to learn some mathematical content of their courses on their own without input from lecturers, also came as a bit of a shock for many students. On the other hand, some of the lecturers had limited knowledge of the exam-driven priorities of A-level maths courses and were not aware of the techniques students had been taught prior to attending their university courses."
The researchers also found significant problems in motivating students to engage with the mathematics within their chosen university coursewhere mathematics was not their main area of study. Generally, schools and colleges were found not to be preparing students for university learning practices, and the level of learning-skills support was variable once students arrived at university.
"Many students felt that they would benefit from student-centred learning and greater opportunity for dialogue with their lecturers," says Associate Professor Wake. "Unfortunately, the efficiencies required of university teaching resulting in lecturing of large numbers of students makes developing such a learning culture unlikely."
The findings led the researchers to consider the implications for the policies and practices of schools, colleges and universities recommending a better two-way flow of information between schools and colleges and universities to address the issues of preparation and expectation.
They concluded that the sixth-form curriculum should provide 'learning to learn' skills and mathematical modelling for students following A-level maths courses.
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What is the difference between e-learning, online learning and distance learning? University of Missouri researchers have found that even educators can't agree on what different forms of learning environments entail and | 677.169 | 1 |
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Anita Brockette
Courses:
MTE 3 - Algebra Basics
Includes basic operations with algebraic expressions and solving simple algebraic equations using signed numbers. Emphasis will be placed on applications throughout the unit. Prerequisite Competency in Math Essentials MTE 1 through 2 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent. Lecture 1 hour.
MTT 1 - Developmental Mathematics I
Covers mathematics topics in a technology-based setting to prepare students for the study of college level mathematics courses and curricula. Designed for the study of one developmental math unit prescribed by the student's placement test results. Credits not applicable toward graduation.
MTE 4 - First Degree Equations and Inequalities in One Variable
Includes the solution of first degree equations and inequalities containing one variable, and using them to solve application problems. Emphasis will be placed on learning the steps to solving the equations and inequalities, applications and problem solving. Prerequisite Competency in Math Essentials MTE 1 through 3 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent. Lecture 1 hour.
MTE 9 - Functions, Quadratic Equations and Parabolas
Includes an introduction to functions in ordered pair, graph, and equation form. Also introduces quadratic functions, their properties and their graphs. Prerequisite Competency in Math Essentials MTE 1 through 8 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent. Lecture 1 hour.
MTH 120 - Introduction to Mathematics
Introduces number systems, logic, basic algebra, descriptive statistics, mathematics of finance, graphing, and probability. Some previous exposure to algebra would be beneficial. This course is intended for occupational technical programs, and it fulfills the math requirement for the associates in applied science degree in information systems technology, police science, and management. Prerequisites Competency in Math Essentials MTE 1 through 3 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent; or by SAT math score greater than or equal to 520 or ACT score 22 or GT. College Level Courses not transferable. This course will meet specific program requirements, but will not fulfill math requirements in transfer programs. May be used as general elective credits in nontransfer degree programs.
MTE 2 - Operations with Positive Decimals and Percents
Includes problem solving using decimals and percents. Emphasis will be placed on applications throughout the unit. Applications will use U.S. customary and metric units of measurement. Prerequisite Competency in Math Essentials MTE 1 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing MTE 1 or equivalent. Lecture: 1 hour.
MTE 1 - Operations with Positive Fractions
Includes application problems using proper fractions, improper fractions, and mixed numbers. Applications will use U.S. customary units of measurement. All fractions in this unit will be expressed in simplest form, unless otherwise indicated. Prerequisite Competency in BSK 1 operations with whole numbers as demonstrated through the placement and diagnostic tests, or by satisfactorily completing BSK 1 or equivalent. Lecture 1 hour.
MTE 8 - Rational Exponents and Radicals
Includes simplifying radical expressions and using rational exponents. The student will solve radical equations and use them to solve application problems. Prerequisite Competency in Math Essentials MTE 1 through 7 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent. Lecture 1 hour.
MTE 7 - Rational Expressions and Equations
Includes simplifying rational algebraic expressions, solving rational algebraic equations and using them to solve application problems. Prerequisite Competency in Math Essentials MTE 1 through 6 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required MTE units or equivalent. Lecture 1 hour. | 677.169 | 1 |
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MATH TREK Algebra 1
04/01/04
For curriculum-based algebra instruction, teachers and students can use MATH TREK Algebra 1. The multimedia program includes tutorials, assessments and student tracking. Students can use the program's scientific calculator, glossary and journal to help them complete the various exercises and activities. The assessment and student-tracking features provide immediate feedback to students so that they can stay on top of their progress. This engaging program, complete with sound, animation and graphics, can be used on stand-alone computers or a network. NECTAR Foundation, (613) 224-3031,
This article originally appeared in the 04 | 677.169 | 1 |
Product Description
Math 3 Book 2 is the second student workbook in the Horizon Mathematics Series for third grade. This workbook includes colorfully illustrated practice sheets and tests for lessons 81-160. For a comprehensive math program, this workbook should be used with Book 1 and the Teacher's Handbook.
This book, like all the Horizons Math series, is an excellent curriculum, especially if you are interested in using Saxon Math in the upper grades. The student does daily drills and very comprehensive lessons that build continually on skills already learned, which prepare him for Saxon use later. My children delight in the colorful pages and in the confidence they gain by using this series | 677.169 | 1 |
Details about Fundamentals of Trigonometry:
Completing the time-proven Swokowski/Cole precalculus series, this book helps students learn, understand, and appreciate trigonometry without compromising mathematical integrity. The book takes a unit-circle first approach to trigonometry and incorporates the use of the graphing calculator. Numerous application problems help motivate students toward success in learning trigonometry.
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Rent Fundamentals of Trigonometry 9th edition today, or search our site for Earl William textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by CENGAGE Learning. | 677.169 | 1 |
Holt McDougal Mathematics Explorations in Core Math for Common Core
The Holt McDougal Mathematics Explorations in Core Math for Common Core is designed to provide a strong Common Core support for teachers implementing the new Common Core State Standards and can be used either while still teaching from existing secondary mathematics programs currently in use or on its own. Holt McDougal Mathematics Explorations in Core Math for Common Core covers the entire Common Core State Standards for each grade level. Unique lesson design helps focus students' attention on the important Standards for Mathematical Practice, too.
Units in the Student Editions open with an introduction to the new Standards and Key Vocabulary in the Unpacking the Standards section. Guided-discovery lessons help students develop conceptual understanding and include Essential Questions and Reflect prompts. Lessons are followed with scaffolded guided practice, and then additional independent Practice and Problem Solving, so that students master important skills and develop expertise in modeling with the mathematics. Every unit closes with three or four leveled Performance Tasks followed by an extended Problem Solving Connection modeling opportunity. Every unit concludes with a section of Assessment Readiness test preparation practice that features selected response, constructed response, and extended response items.
The Teacher's Editions provide convenient professional development information that explains the Common Core Content Standards and the Standards for Mathematical Practice. Full teaching support is provided for every lesson, including notes for incorporating Teaching Strategies, helping students Avoid Common Errors, and making the Technology Connection. Lesson introductions include standards explanations, prerequisite skills, and important Math Background information. Questioning Strategies are included to use with lesson examples. Lessons close with a Summarize prompt. Highlighting the Standards strategies are often included to help teachers focus on the Standards for Mathematical Practice. As units close with Assessment Readiness, the Teacher's Editions provide item correlations and item analyses for diagnosing student errors and useful for teaching test-taking strategies.
Meaningful Assessments
Holt McDougal Mathematics Explorations in Core Math for Common Core provides meaningful assessments to match instruction at the end of every unit. Leveled Performance Tasks serve as convenient authentic assessment tools and the Teacher's Editions provide scoring rubrics. The next feature, Problem Solving Connections, may be used as an extended modeling activity or performance tasks. Every unit closes with a section of Assessment Readiness that features selected response, constructed response, and extended response items. The corresponding Teacher's Editions pages provide item correlations and item analyses to help teachers diagnose student errors.
Comprehensive Teacher Guidance
The Holt McDougal Mathematics Explorations in Core Math for Common Core Student Editions provide a section of Unpacking the Standards at the beginning of every unit as a tool for explaining the goals and focus of the new Standards to students and their parents. Teacher's Editions provide helpful teaching notes throughout the lesson teaching cycle. The Performance Assessment tasks at the end of every unit are leveled so that students may have universal access for assessment preparation.
Ease of Use and Accessibility for Teachers
The Holt McDougal Mathematics Explorations in Core Math for Common Core program makes it easy to incorporate new Common Core content and mathematical practices into existing curricula. The Student Editions provide full interactive lessons for all Standards and include meaningful assessments for every Unit. The Teacher's Editions provide correlations, math background information, and teaching notes for every lesson. Helpful assessment tools are included for every Unit. Additionally, the Company is preparing helpful crosswalk information online so that teachers will have guidance for integrating this new Common Core program with their existing basal materials. | 677.169 | 1 |
Introduction to C++, Excel MATLAB & Basic Engineering Numerical Methods V 1.1. This book is in Good condition. Buy with confidence. We ship from multiple location.
Nohinsa Books
SC, USA
$95.99
FREE
About the Book
This inexpensive, easy-to-use new volume offers a pragmatic approach to computational tools and techniques in electronic format. The authors offer broad coverage in an informal style. Self-contained lecture material. Three levels of work (Exercises, Problems and Projects). Self-contained compiler and hyperlinked examples and lecture material. Compiler included Slides. Hyperlinked Examples. A flexible reference for engineers who need to brush up on their computing skills. | 677.169 | 1 |
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Solving Inequalities Worksheets
Are you looking for free math worksheets that will help your students develop and master real-life math skills? The algebra worksheets below will introduce your students to solving inequalities. As they take a step-by-step approach to solving inequalities, they will also practice other essential algebra skills like using inverse operations to solve equations.
Start your class off with Worksheet 1, which feature basic inequalities that can solved in one step and focuses simply on positive numbers. As your students practice each successive worksheet, multi-step inequalities are introduced along with some negative numbers. By the time your students have completed this series of free algebra worksheets they will know when to reverse inequality symbols, graph solutions, and check their solutions all by themselves! | 677.169 | 1 |
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What is the Precalculus Study Guide? The Precalculus Study Guide will help you master the math
necessary for success in calculus. High
school and university students in, or contemplating a calculus course, and students
wanting additional insight into selected topics in algebra and trigonometry would
all benefit from this guide.
Features
Over 60 problems covering 11 topics from the introductory chapter of the typical calculus text
20 new Maplet tutors available only with the study guide
Overviews of each topic
Each problem is
Solved the way it would be in a textbook
Solved in a point-and-click fashion using specially designed Maplet tutors
Solved with Maple commands, so you learn to unlock the complete power of Maple
Hyperlinks to more than 140 definitions in the Maple Math Dictionary
Over 175 additional exercises for further practice and deeper understanding | 677.169 | 1 |
Covers mathematics topics in a technology‐based setting to prepare students for the study of college level mathematics courses and curricula. Designed for the study of one developmental math unit two three four developmental math units prescribed by the student's placement test results. Credits not applicable toward graduation. (See unit descriptions below.)
VPT Free Math Prep Course
NRCC offers a free online prep course for the VPT – Math to help you prepare to do as well as you can on this test. The better you do on it, the less math you will have to take! More information about it, and how to sign up and use the course can be found here: Conquering the VPT in Math.
Descriptions of Developmental Math Units (MTE – Math Essentials)
Unit 1 (MTE 1): Operations with Fractions
Includes operations and problem solving with proper fractions, improper fractions, and mixed numbers without the use of a calculator. Emphasizes applications and includes U. S. customary units of measure. Credit is not applicable toward graduation. 1 credit.
Includes operations and problem solving with positive decimals and percents. Emphasizes applications and includes U. S. customary and metric units of measure. Credit is not applicable toward graduation. 1 credit.
Unit 4 (MTE 4): First Degree Equations and Inequalities in One Variable
Includes solving first degree equations and inequalities containing one variable, and using them to solve application problems. Emphasizes applications and problem solving. Credit is not applicable toward graduation. 1 credit.
Includes finding the equation of a line, graphing linear equations and inequalities in two variables and solving systems of two linear equations. Emphasizes writing and graphing equations using the slope of the line and points on the line, and applications. Credit is not applicable toward graduation. 1 credit.
Includes techniques of factoring polynomials and using these techniques to solve polynomial equations. Emphasizes applications using polynomial equations solved by factoring. Credit is not applicable toward graduation. 1 credit.
Includes an introduction to functions in ordered pair, graph, and equation form. Also introduces quadratic functions, their properties and their graphs. Credit is not applicable toward graduation. 1 credit. | 677.169 | 1 |
97808672047 Numbers: A Text and Source Book of Problems
This text presents the principal ideas of classical number theory emphasizing the historical development of these results and the important figures who worked on them. It is intended to introduce third or fourth-year undergraduates to mathematical proofs by presenting them in a clear and simple way and by providing complete, step-by-step solutions to the problems with as much detail as students would be expected to provide themselves. This is the only book in number theory that provides detailed solutions to 800 problems, with complete references to the results used so that the student can follow each step of the argument | 677.169 | 1 |
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Mathematica for Teaching and Education
Kelvin Mischo
Improve the teaching and learning experience with Mathematica. This Wolfram Virtual Conference Spring 2013 talk gives an overview of how to make your classroom dynamic with interactive models and shows a variety of computation and visualization capabilities useful for teaching practically any subject at any level.
Channels: Virtual Events
Roger Germundsson, director of research and development, gives an introduction and overview of geometric computation in Mathematica 10. Types of regions, their computable properties, and the integration with solvers ...
The Wolfram Computable Document Format (CDF) provides a new streamlined way for creating dynamic educational content. This course from the Wolfram Mathematica Virtual Conference 2012 shows how to use ...
Explore the scope of image processing capabilities in the Wolfram Language. This talk covers classical and state of the art algorithms as well as function categories, including morphological processing, color ...
In this Wolfram Mathematica Virtual Conference 2011 course, learn why Mathematica is used for academic research with a look at its programming language, support for parallel computing, and multiple publishing ...
Explore interactive and engaging materials for the classroom enriched by Wolfram|Alpha and the Wolfram Demonstrations Project. This Wolfram Technology for STEM Education: Virtual Conference for Education talk gives more ... | 677.169 | 1 |
Overview
is designed as a supplement to Mathematics for Retail Buying, Revised 5th Edition, by Bette K. Tepper, but the concepts are easily adaptable to any text meant to cover the mathematical concepts associated with retail buying.
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Table of Contents
Using Computerized SpreadsheetsProfit and Loss StatementsRetail Pricing - Calculating MarkupBalancing Markup for Profit - Markdowns and RepricingRetail Method of InventorySix-Month Seasonal Merchandise PlanTerms of Sale and the Purchase OrderTEXT FEATURESDetailed instructions and tips for creating Microsoft Excel spreadsheets from scratch. (No prior experience is needed.)Practice problems at the end of each chapter allow students to create their own spreadsheetsIncludes both traditional spreadsheet creation assignments and case study assignmentsCD-ROM FEATURESIncludes Microsoft Excel spreadsheets for each lesson in the textAllows students to work through lessons on their own Instructors Guide/Answer Key provides solutions and sample solutions to all the problems presented in the text | 677.169 | 1 |
Learning modern higher mathematics —discrete mathematics, in particular— requires more than ever fluencyin elementary arithmetic and algebra. An alarming number of students reach university without these skills.The Essential Mathematics programme at Queen Mary is designed to address this problem. It providestraining for a compulsory examination, which all first year mathematics students must pass to be admittedto the second year; the exam is to be attempted repeatedly, until passed, and is supported by the courseMAS010. A similar —if a bit less demanding— programme has been introduced as the core course SEF026within the Science and Engineering foundational year.The Essential Mathematics programme consists of over 1000 gradual exercises on integers, fractions, radicals,polynomials, rational functions, linear and quadratic equations. Each exercise is provided with answer, forimmediate feedback. A student following this programme conscientiously, will develop automatic response,stamina, and confidence, in a vital area of mathematical knowledge.It would be difficult to overestimate the benefits of this effort.
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Look at the following expression for a few seconds, then cover it up.13
2
626
−
839
2
.
(1)The goal is to evaluate it
without calculator
. If you can spot and carry out simplifications, this is easy: youdo not even need pencil and paper.So, did you notice any simplification? If you did not, you will probably start off like this13
2
6
·
39
−
26
·
826
·
39
2
= 169
234
−
2081014
2
=
···
a dangerous move, in an exam without calculator. Consider instead the following equalities26 = 2
·
13; 39 = 3
·
13;
ad
−
bd
2
=1
d
2
(
a
−
b
)
2
(2)2
1/8/2008
which should be obvious. However, is
their relevance
to the present context equally obvious? Look:13
2
·
62
·
13
−
83
·
13
2
= 13
2
113
2
3
−
83
2
=
13
2
=19
.
Simple. But only if, after seeing equation (1), your brain automatically 'connects it' with equations (2), ina process of pattern recognition that barely involves consciousness.If this has not happened, it means that your mathematical neurons are not well-connected, and you must buildthese connections. Developing this kind of automatic responses requires little knowledge or understanding,but a lot of regular practice, much like long-distance running, or playing a musical instrument. The onlything to be understood here is that
these skills cannot be acquired in any other way.
•
Work without calculator (which is not permitted in the exam).
•
Attempt 5 to 10 exercises a day, every day.
•
Do not skip days.
•
Do not skip exercises, unless you consistently get the correct answer at the first attempt.
•
Discuss any problem with your advisor or lecturer.Exercises displaying the symbol
**
are exam-type questions for MAS010, while the symbol
*
flags easierquestions, of the type appearing in the exam of the foundational course SEF026. The symbol
♣
denotesa challenge question, which goes beyond what an average student following this programme is expected tohandle.Proof-reading this document has been a labourious process. The original version of the web-book was checkedby a team of postgraduate students at Queen Mary, who corrected many errors; I thank them for their effort.I am also grateful to the many undergraduate students that subsequently spotted mistakes while taking thecourse. Special thanks go to Marcus Jordan, a very young student from Korea, who followed the currentversion of this programme from beginning to end, resulting in a final set of corrections. The responsibilityfor any remaining error rests solely with the author.Franco VivaldiLondon, 20083 | 677.169 | 1 |
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