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Cracking the SAT II Math, 1999-2000 (Princeton Review Series)Paperback
Item is available through our marketplace sellers.
OverviewWE GET RESULTS Students who take our courses for the SAT, ACT, and many other tests see score improvements that have been verified by independent accounting firms. The proven techniques we teach in our courses are in this book.
AND IF IT'S ON THE SAT II: MATH EXAM, IT'S IN THIS BOOK We don't try to teach you everything there is to know about math—only what you'll need to know to score high on the SAT II exam. There's a big difference. In Cracking the SAT II: Math, 1999-2000 Edition, you will learn to think like the test makers and:
*Eliminate answer choices that look right but are planted to fool you *Score higher by reviewing some basic arithmetic concepts *Earn more points by plugging in numbers on algebra problems *Learn advanced techniques for tackling the more complicated problems on the IIC test
This guide offers complete review and preparation for both the IC and IIC SAT II: Math subject tests. Practice your skills on the four full-length sample tests inside (two for each level). The questions are just like the ones you'll see on the actual SAT II: Math exam, and we fully explain every solution.
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Meet the Author
Jonathan Spaihts was born in 1970. He is a graduate of Princeton University, and by pure coincidence works for The Princeton Review as a teacher, researcher, and writer. In that capacity he has helped to develop Princeton Review courses for the SAT I, SAT II, and a number of other standardized tests. | 677.169 | 1 |
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About the Book
The resource math teachers have been waiting for is finally here!
Volume Two of the Van de Walle Professional Mathematics Series provides practical guidance along with proven strategies for practicing teachers of grades 3 through 5. In addition to many of the popular topics and features from John Van de Walle's market-leading textbook, "Elementary and Middle School Mathematics," this volume offers brand-new material specifically written for these Big Ideas provide clear and succinct explanations of the most critical concepts in 3-5 mathematics. Problem-based activities in Chapters 2-12 provide numerous engaging tasks to help students develop understanding. Assessment Notes illustrate how assessment can be an integral part of instruction and suggest practical assessment strategies. Expanded Lessons elaborate on one activity in each chapter, providing examples for creating step-by-step lesson plans for classroom implementation. A Companion Website ( provides access to more than 50 reproducible blackline masters to utilize in the classroom. The are provided in the appendix for teachers' reference. About the Authors
John Van de Walle is Professor Emeritus at Virginia Commonwealth University. He is a co-author of "Scott Foresman-Addison Wesley Mathematics," a K-to-6 textbook series, and the author of "Elementary and Middle School Mathematics: Teaching Developmentally," the best-selling text and resource book on which this professional series is based.
Lou
Collect all three volumes in the Van de Walle Professional Mathematics Series! Each volume provides in-depth coverage at specific grade levels. Learn more about the series at | 677.169 | 1 |
Passyunk, PA PhysicsSimeon S.
...Analytical reading and writing can be a lot of fun, actually. In the end, my paradigm as a teacher will always be to make myself progressively unnecessary.An introduction to algebra includes topics such as linear equations, ratios, quadratic equations, special factorizations, complex numbers, gr | 677.169 | 1 |
MATH 101: Elementary Algebra
Welcome to the web‐based Math 101, Elementary Algebra, at COM.
This page will give you some idea of the requirements for the course and procedures for securing your place in the course. More detailed information can be found in the document, "INFORMATION AND RULES FOR MATH 101." I will email a pdf of this to all registered students about a week before classes begin. It is also available to registered students at the Moodle site for the course. Please take the time to read this document carefully.
Internet math courses are not for everyone!
You need to be especially motivated and self‐disciplined to succeed! If you have had a tough time with math and are looking for an easy way to get through this requirement, this course is not the answer. But if you really want to succeed and are willing to put in the time on a regular basis, then read on!
Contacting me (and how I contact you):
If you have a math question, or a question about a course detail that might benefit others, please post it on the discussion forum at the Moodle site. For anything else, such as personal questions, please contact me at my college email: george.golitzin@marin.edu . Please include in the subject header the phrase ʺmath101web.ʺ When you email me, I will reply to whatever account you emailed me from. However, when I wish to contact you, I will only use your MyCOM account. Hence you must check this account frequently.
About the course:
The course is a self‐study program administered by the Aleks Online Learning System ( All your coursework is done at Aleks, with the exception of the on‐campus final exam (paper and pencil). This final counts for 35% of your grade. Three tests will be administered on Aleks, each counting 10% of your grade; the remainder of the grade, 35%, is determined by how many Aleks topics you complete. A score of 55% or better on the final exam is required in order to pass the course. (NOTE: this requirement may be changed in future semesters: check the "Information and Rules" document for the current requirement.) If at midterm you do not have a passing grade on the first test, and if in addition your Aleks progress is poor or you have not made any progress in any two‐week period, you may be dropped from the course at midterm. Again, please see "Information and Rules" for the specific participation requirement.
Textbook and related materials:
You will need a 1‐semester (18‐week) subscription to the Aleks Online Learning System. This can be purchased at: . The cost is approximately $72 for one semester; more details can be found in the "Information and Rules" document. Students must register at Aleks at the time of purchase. This requires a 10‐digit course code which I will send to all registered students in the week prior to class.The recommended text is Bittinger, Introductory Algebra, 11th edition, published by Pearson (ISBN 9780321599216). While Aleks provides pretty good explanations, the textbook will provide fuller explanations as well as practice problems. Also, whenever you click the explanation button at Aleks, look for a box that references the corresponding section of the textbook, in order to get more help there. The syllabus is arranged around the textbook, and the three exams each cover a set of chapters in the textbook.
Prerequisites:
The prerequisite for the course is either 1: a grade of C or better (or Pass) in Math 95 at COM or its equivalent at another community or 4‐year college), OR 2: a qualifying score in the Math placement test at COM. The Math Department does NOT accept placement scores from another college. You can find out more about the placement test, or set up an You can find out more about the placement test, or set up an appointment, at the college testing center. See the Assessment and Testing webpage for details. All prerequisites are now administered by the Admissions and Records Office and are no longer the responsibility of the instructor.
Wait‐listed Students Only:
Students on the waiting list should contact me by email about room in the course. I will either send wait‐listed students an Add Code that they can use to register for the course at the college, or I will tell them that there is no more room in the class. Preference will be given to students who contact me in a timely manner. The process to add the course requires you to re‐register for the course, using the add code. This can only be done once the term has started, when the waitlist has been purged. Once you are successfully registered, go ahead and get the Aleks subscription.
The Moodle Site:
Announcements, a discussion forum, the course syllabus, and a gradebook will be found at the Moodle site for the course. It is important that you check this site regularly for announcements and any threads which I open on the forum. These will also be emailed to your MYCOM account automatically, but NOT to any private email account. In the discussion forums I will introduce some focus problems for each unit, as a way of preparing you for the three Aleks tests as well as for the final exam. Here you can also post your math questions. In order not to be dropped from the course, all registered students must log in to the Moodle site by the Friday of the first week of classes; wait‐listed students must do so within 3 days of receiving an Add code.
Access to Moodle is available to students registered for the course just before the term begins—wait‐listed students will need to wait until they get an add code. You should be able to follow these links on MyCOM to the Moodle shell for the course: log in to MyCOM, select the ʺDistance Education/Moodleʺ tab, and then click on the large Moodle icon. You can also log in directly there by using your MyCOM login information: type or paste the url into your browser, then select ʺMyCOM User.ʺ This will take you to the MyCOM login menu, but when you log in, youʹll be sent to the Moodle site. Once youʹre logged in at the Moodle site, notice on the left side the menu labeled ʺNavigation.ʺ In this panel you can select My Home, and then your course by name, or, alternatively, click on ʺMy courses,ʺ and select the course under it by its course record number (CRN).
Thank you, and good luck in the course!
George Golitzin | 677.169 | 1 |
Courses 2015-2016
MATHEMATICS COURSES
MATH 098 Beginning Algebra
3 credits
An introduction to algebra with a review of basic arithmetic. Includes decimals, fraction, percentage, ratio, proportion, signed numbers, algebraic expressions, factoring, exponents and radicals, linear equations, and graphs. MATH 098 is offered through Extended Studies and a fee is assessed. Credit does not count toward graduation. Graded Satisfactory/Unsatisfactory only.
MATH 099 Intermediate Algebra
3 credits
A review of the arithmetic of fractions and decimals, percentage problems, signed numbers, arithmetic, and topics of basic algebra, including simplifying algebraic expressions, solving and graphing linear equations, basic factoring, working with algebraic fractions, and solving rational and quadratic equations. This course is designed for students who need a review of the basic algebra skills necessary to complete the required mathematics courses MATH 131 or MATH 140. MATH 099 is offered through Extended Studies 113 Mathematics and a fee is assessed. Credit does not count toward graduation. Graded Satisfactory/ Unsatisfactory only. Prerequisite: ACT math score of 16 or above; SAT math score of 400 or above, MATH 098; or Accuplacer Elementary Algebra test score of 60 or above.
MATH 100 Math for Liberal Arts Skills
1 credits
A review of the math skills necessary to succeed in MATH 105, Mathematics for the Liberal Arts. Corequisite MATH 105. MATH 101 Math for Social Sciences Skills 1 credits A review of the math skills necessary to succeed in MATH 131, Mathematics for the Social Sciences. Prerequisite: an assessment equivalent to ACT math score of 17 or above; SAT math score of 400 or above; or Accuplacer Elementary Algebra test score of 60 or above. Corequisite MATH 131.
MATH 102 College Algebra Skills
1 credits
A review of the math skills necessary to succeed in MATH 140, College Algebra. Prerequisites: an assessment equivalent to ACT math score between 17-20; a SAT Math score between 410-500; an Accuplacer Elementary Algebra score between 75-105; or a Compass Algebra score between 26-44; and a high school GPA of 2.75 or higher. Co-requisite MATH 140. Note: this course is intended for those qualified students wanting to complete the Supplemental Academic Instruction (SAI) program in Math.
MATH 105 Mathematics for the Liberal Arts
3 credits
An investigation into a variety of mathematical concepts with an emphasis on quantitative literacy. Topics may include practical applications such as personal finance and numbers in the media, along with aesthetic applications such as connections between mathematics and art or music. Prerequisite: ACT math score of 19 or above; SAT math score of 460 or above; or MATH 098 or MATH 099; or Accuplacer Elementary Algebra test score of 85 or above; or corequisite MATH 100. GT-MA1
MATH 131 Mathematics for the Social Sciences
3 credits
A course for the student majoring in the social sciences. Topics may include the study of linear functions, linear regression, systems of linear equations and matrix inverses, linear optimization, financial calculations, sets and counting, basic and conditional probability, the binomial and normal probability distributions, and descriptive statistics. Prerequisite: ACT math score of 21 or above; SAT math score of 500 or above; MATH 099; or Accuplacer Elementary Algebra test score of 85 or above; or corequisite MATH 101. GTMA1
MATH 141 Precalculus
4 credits
Preparation for calculus by the study of functions of one variable over the real numbers. These are introduced in general and then applied to the usual elementary functions, namely polynomial and rational functions, exponential and logarithmic functions, and trigonometric functions. Inverse functions, polar coordinates and trigonometric identities are included. Prerequisite: ACT math score of 23 or above; SAT math score of 530 or above; MATH 140 with a minimum grade of "C-"; or Accuplacer university- level mathematics test with a score of 65 or above.
MATH 197 Special Topics
1-6 credits
MATH 200 Discrete Mathematics 3 credits Designed to provide some of the mathematical background necessary for advanced work in computer science. Topics include logic, set theory, Boolean algebra, switching theory, counting and enumeration, number theory, mathematical induction, linear modeling, basic matrix algebra, and the graphical and simplex methods of linear programming. Applications of the topics covered are emphasized. Prerequisite: MATH 141 with a minimum grade of "C-."
MATH 209 Mathematics for Elementary School Teachers I
3 credits
First of two courses designed for prospective elementary teachers. Emphasizes the real number system, arithmetic operations, and algebra. Explorations focus on representing, analyzing, generalizing, formalizing, and communicating patterns and structures. Content is presented using problem solving and exploration. Prerequisite: ACT math score of 23 or above; SAT math score of 530 or above; MATH 140 with a minimum grade of "C-"; or Accuplacer university-level mathematics test with a score of 65 or above.
MATH 210 Mathematics for Elementary School Teachers II
3 credits
Second of two courses designed for prospective elementary teachers. Emphasizes probability, data analysis, and geometry. Explorations focus on representations of data and two-and three-dimensional shapes, their properties, measurements, constructions, and transformations. Prerequisite: MATH 209 with a minimum grade of "C-."
MATH 213 Probability and Statistics
3 credits
An introduction to descriptive statistics, probability concepts, and inferential statistics. The topics for the course include presentation of data, counting principles, probability rules, and discrete and continuous probability distributions. Prerequisite: MATH 141 with a minimum grade of "C-," or Accuplacer university-level mathematics test score of 85 or above; or instructor permission. GT-MA1
MATH 220 Introduction to Advanced Mathematics
3 credits
Students develop and use elementary logic and set theory to construct deductive proofs with relations, functions, and some algebraic structures. Topics include indexing, equivalence relation theory, and cardinality. Prerequisite: MATH 151 with a minimum grade of "C-." Mathematics 114
MATH 251 Calculus II
4 credits
Topics include techniques of integration, area computations, improper integrals, infinite series and various convergence tests, power series, Taylor's Formula, polar coordinates, and parametric curves. Prerequisite: MATH 151 with a minimum grade of "C-." MATH 252
MATH 252 Calculus III
4 credits
Topics include calculus of functions of several variables, differentiation and elementary integration, vectors in the plane and space. Prerequisite: MATH 251 with a minimum grade of "C-."
MATH 260 Applied Linear Algebra
3 credits
A course in the techniques and applications of linear algebra. The core topics include solving systems of linear equations, eigenvalues and eigenvectors, matrix decomposition, the pseudoinverse and least squares approximations, and the singular value decomposition. The theory is supplemented with extensive applications and computer programming. Prerequisite: MATH 141.
MATH 266 Secondary Mathematics from an Advanced Perspective
3 credits
A course designed to help Secondary Licensure Emphasis majors understand the core mathematical content of high school mathematics courses before calculus. These concepts are treated from an advanced standpoint, emphasizing connections and extensions. Topics include number systems, polynomial and transcendental functions, analytic geometry, theory of equations, and measurement. Prerequisite: MATH 151 with a minimum grade of "C-."
MATH 297 Special Topics
MATH 300 Introduction to Mathematical Modeling 3 credits Designed to teach the basic principles of mathematical modeling and applied mathematics. Techniques from calculus, statistics, and probability are utilized to model real-world problems. Analytic and numeric tools are used to implement the models, obtain predictions and investigate underlying mechanisms. Topics include dimensional analysis, curve fitting, simulations, differential and difference equations. Prerequisites: MATH 251 and MATH 213 with minimum grades of "C-."
MATH 311 Mathematical Knowledge for Teaching Elementary School
3 credits
This problem based class uses video and written records of children doing mathematics to enable prospective elementary educators to develop a connected framework of mathematical knowledge, understand mathematical thinking of others, and recognize how specific mathematical tasks contribute to a child's emerging mathematical knowledge. Problems are tied to specific mathematical standards and practices from the Common Core State Standards for Mathematics (grades K-6). Prerequisite: MATH 210 with a minimum grade of "C-."
MATH 313 Statistical Modeling and Simulation
3 credits
A study of statistical techniques used to model and simulate stochastic processes. The core topics include linear and nonlinear multivariate models, generalized additive models, time series models with auto-correlated error, and mixed effects models. Emphasis is placed on computational techniques appropriate to large data sets and data visualization. Prerequisites: ECON 316, MATH 260, CS190.
MATH 314 Applied Probability
3 credits
A study of the basic principles of probability theory and their applications. Topics include combinational analysis, conditional probabilities, discrete and continuous random variables, and measures of centrality and variance. Emphasis is placed on applications using probability distributions (including binomial, geometric, Poisson, uniform, exponential, and normal distributions) to assess and manage risk in the fields of finance, insurance, medicine, and quality control. Prerequisite: MATH 251 with minimum grade of "C-."
MATH 330 Topics in Geometry
3 credits
An introduction to modern geometries. Topics include synthetic, analytic, vector, and transformational approaches to geometry. Classification of geometries, axiomatics, and the application of geometry may also be included. Prerequisite or corequisite: MATH 220.
MATH 354 Differential Equations
3 credits
A study of the theory and methods for solving ordinary differential equations. Prerequisite: MATH 251 with a minimum grade of "C- ."
MATH 360 Linear Algebra
3 credits
A study of systems of linear equations, matrix operations, vector spaces, properties of determinants, eigenvalues, eigenvectors, orthogonality and least-squares. Emphasis is placed on theoretical aspects and general vector space properties with proof. Prerequisite: MATH 260 and MATH 220 with minimum grades of "C-."
MATH 366 Methods of Teaching Secondary Mathematics
3 credits
Secondary Licensure Emphasis majors learn to use the latest teaching techniques and technologies, to prepare valid mathematics tests, to be able to effectively evaluate their students, to know the latest developments in secondary mathematics curriculum, and to become familiar with professional mathematics teaching organizations and their journals. Prerequisites: MATH 220 and MATH 266 with minimum grades of "C-."
MATH 370 History of Mathematics
3 credits
Acquaints the student with the historical development of mathematics. Includes an introduction to the proper methods and accepted formats of written, graphical, and oral communication in mathematics. Prerequisites: MATH 220 and MATH 251 with minimum grades of "C-."
MATH 390 Introduction to Peer Tutoring in Mathematics
1 credit
Strategies for tutoring mathematics at the university level, with a focus on presenting mathematical concepts and procedures, reducing anxiety, and improving study skills. May be repeated for up to four credits. Graded Satisfactory/Unsatisfactory only. Prerequisite: MATH 151 with a minimum grade of "B-" and instructor permission.
MATH 391 Seminar in Mathematics
1 credit
A selected topic from areas of mathematics not usually included in the regular curriculum. Student involvement through presentations is emphasized. May be taken under different topics for a total of two credits.
MATH 392 Independent Study in Mathematics
1-4 credits
MATH 397 Special Topics
1-6 credits
MATH 414 Actuarial Mathematics
3 credits
A study of mathematical concepts useful in risk management, including multivariate probability and interest theory. Topics include the Central Limit Theorem, joint distributions, combinations of distributions, conditional and marginal probabilities, time value of money, annuities, and loans. Emphasis is placed on solving problems from the actuarial field, including applications to insurance and business. Prerequisites: MATH 252 and MATH 314 with minimum grades of "C-."
MATH 451 Analysis I
3 credits
An introduction to the theory of calculus. Topics include the usual topology of the reals, sequences, limits, continuity, differentiation, and Riemann integration. Prerequisites: MATH 220 and MATH 252 with minimum grades of "C-."
MATH 456 Introduction to Complex Analysis
3 credits
An introduction to the theory and applications of complex variables. Topics include analytic and elementary functions, integrals, series, residues, and conformal mapping. Prerequisites: MATH 220 and MATH 252 with minimum grades of "C-."
MATH 471 Abstract Algebra I
3 credits
An introduction to the theory of groups and rings. The fundamental group properties and concepts including cyclic groups, subgroups, direct products, symmetric groups, cosets, normal subgroups, and the group homomorphism theorems are discussed. Prerequisite: MATH 220 with a minimum grade of "C-."
MATH 490 Workshop
2 credits
A study of a variety of mathematical topics generally dictated by student interest. The course may be taken for credit three times if the content of the workshop differs.
MATH 495 Senior Seminar
2 credits
A capstone course for the Mathematics Standard Major and for the Secondary Licensure Emphasis. Each student selects an area of interest, researches the selected area, generates a reference list and research paper, and presents the paper to a seminar of faculty and students. Prerequisites: MATH 360 and either MATH 451 or MATH 471. | 677.169 | 1 |
Math Bridge
Three items are added to Geometry section.
Length (Pythagorean theorem)
Area (Triangle, rectangle and circle)
Geometry with Algebra (Triangle figured by three linear functions)
Description
In this Math App, there are no words to explain except at index. So let me introduce the concept of Math Bridge in English. You can try free sample version on web.
This App is not Math itself, but Math-related supplemental program. Math can only exist when you are doing it as if your thinking exists when you think.
1. Calculation
In this App, there are three levels and one challenge mode in following calculations.
i) Addition:
ii) Subtraction:
iii) Multiplication:
iv) Division:
After every five questions, quick review is set to check right and wrong. All four challenge modes for calculations have a five seconds timer to answer the question. They are difficult but concentration can enable us to get right answers.
5 Differentiation
In calculus, a branch of mathematics, the derivatives is a measure to know how a function changes as its input changes. (from wikipedia)
In this App, you can find points of extreme by a quadratic derivative in trinomials.
6 Integration
Integration is an important concept in mathematics and, together with its inverse, differentiation, is one of the two main operations in calculus. (from wikipedia)
In this App, you can learn the calculation of an area between quadratic function and linear function. At first, the cross-points of two functions are calculated by factoring and calculate the area by integration. Please touch screen to take steps.
An Orbit of thrown object as quadratic curve can be a bridge connected between the real world and math. Math is a tool as well as a world. The difference of the real world and a world is ambiguous, because we can't see the real world without a world, which is our own world. Math has a history over 3000 years as well as language, both of which are very powerful to explore the real world. Life may be a problem much more complex than math, but logic is useful for both of them. To handle logic or theory requires much energy in brain so that doing math is a good training for thinking about the world and life with your own logic. These can be reasons why we learn math. How about you?
Have fun!
ver 1.1
"Quadratic formula" and "Trinomial" are added in Equation.
In Quadratic formula, you can see the course from a general quadratic equation to the quadratic formula by 7 steps. The logic of four arithmetic operations and notion of equal is the basic skill.
In trinomial, you can solve cubic equations by factoring. Please note that plus and minus notations are needed to be cared for as well as calculating fraction. When f(a) = 0 in f(x)=0, it means that the "a" can be factored | 677.169 | 1 |
Find a Westborough AlgebraA binder and other supplies are provided to create a reference notebook. This quick reference book is a good way for students to independently refer back to concepts taught instead of being provided the answers. This technique encourages independence, to be responsible for own learning, and assist in imprinting the information to their brain | 677.169 | 1 |
9789971509 notes are the contents of a lecture course given to third year physics undergraduates at the Imperial College who are taking the theoretical physics option. The subject of "Algebra and Groups" is of considerable importance in a number of branches of modern theoretical physics, and therefore one major objective of the course is to introduce the students to the basic ideas on the subject, bearing in mind the potential applications to quantum theory. However, another equally important aim of the course is to introduce the student to the art of genuine "mathematical" thinking. The notes are therefore written in a more precise mathematical style than is usually the case in courses aimed at physics students. Quite apart from the general educational value of such an exposure to abstract thinking, it is also the case that much modern theoretical physics draws on sophisticated ideas from pure mathematics and therefore it is most important that a perspective graduate student can approach these subjects without experiencing a total culture shock! The course is divided into three parts. The first is a short introduction to general group theory, with particular emphasis being placed on the matrix Lie groups that play such a crucial role in modern theoretical physics. The second part deals with the theory of vector spaces, with particular attention being paid to the theory of Hilbert spaces and the basic analytical techniques that are needed to handle the infinite dimensional situation. The final part of the course is a short introduction to the theory of group representations and the associated theory of characters | 677.169 | 1 |
Details about P-Adic Numbers:
There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. This elementary introduction offers a broad understanding of p-adic numbers.From the reviews: "It is perhaps the most suitable text for beginners, and I shall definitely recommend it to anyone who asks me what a p-adic number is." --THE MATHEMATICAL GAZETTE
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Rent P-Adic Numbers 2nd edition today, or search our site for other textbooks by Fernando Q. Gouvea. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Springer. | 677.169 | 1 |
This is the ad-free version of the best graphing and scientific calculator here.
As a scientific calculator cFunction supports functions like pow, square roots, trigonometric functions and the logarithm. As mathematical constants, the Euler number e and Pi (π) are supported
On top of that with this graphing calculator you can plot (multiple) functions, calculate derivatives, roots, extrema (maxima or minima of a function), inflection points, value table, certain values, definite integrals, intersections of functions and it can convert between degrees and radian | 677.169 | 1 |
Top Ten Math Books on Pre-Calculus
Pre-calculus is a requirement in most high schools. It is also a required course for calculus. There are several books that can help you get a better grasp on pre-calculus.
In these top ten books you will learn about the following; best book for learning pre-calculus, best pre-calculus book for self-study, best pre-calculus textbook, pre-calculus book online, pre-calculus book online free, Holt pre-calculus book online, pre-calculus with limits online book, pre-calculus help all of these above listed topics are related to your learning experience.
Pre-calculus for Dummies is a, hands on guide that will walk the student through all the important topics, from the quadratic equations, absolute value, logarithms, exponential functions, to trig identities, and matrix operations. With the help of this easy to use math book the student will soon have a good a handle on all of the pre-calculus concepts not just the basics. The student will also understand and be able to do the entire pre-calculus task from tackling proofs to graphing.
Understanding pre-calculus can open the door to learning about more advanced and math topics, and can also help the student fulfill college requisites. Pre-calculus Demystified is your ticket to mastering this math concept.
This is a self teaching guide about general pre-calculus concepts and as the student progresses they will learn about other topics such as, trigonometric functions, logarithms, exponents, graphs of functions, and more. There are detailed examples and quizzes at the end of each section and a final exam to help you along the way.
This book is designed to help students teach themselves or refresh their skills. The book is designed to also help students improve their grade. These Barron's E-Z books are used by individuals, in classrooms, online courses, and as workbooks in a classroom.
This math book includes more than six hundred solved pre-calculus problems, practice problems, and examples to help sharpen your problem solving skills. In addition, the student receives access to thirty detailed videos from math teachers who explain pre-calculus.
This pre-calculus book is written in a clear style, the book offers a graphical perspective so the student can develop a pictorial understanding of college level algebra & trigonometry. The book has good exercises, examples, and activities. The book provides the student with all the tools they need to succeed at pre-calculus.
Pre-Calculus is an inclusive reference book that explains and pre-calculus and introduces calculus ideologies in a simple, easy to follow style. Starting with the basic fundamental pre-calculus topics then progressing to more advanced topics, that will help the student prepare for introductory to calculus; the book clarifies pre-calculus using step by step actions and solutions. It is perfect for the student who needs some extra help.
"Pre-Calculus by Design" contains 42 activity pages covering a range of trigonometry and other pre-calculus topics. These include trigonometric functions and laws, graphs of functions, working with logarithms and exponentials, arithmetic and geometric series, and limits. The book uses a search-and-shade technique to make math fun. Students use a shading code to shade a grid on which answers to exercises are found. If the exercise answers are correct, a symmetrical design emerges. Teachers are given permission to reproduce the pages for classroom use, and a solution key is provided. Grades 10-12.
This is a workbook for students doing grade 10 or 11 precalculus course includes Interval notation, Equations, Quadratic Functions, Hybrid functions, Trigonometric functions, Geometry, and several more.
This pre-calculus book is more than a book it is a complete program that helps to prepare students to be achieve success in college or or on state mandated exams.
Some students struggle with math and pre-calculus is not a walk in the park type of class. The above mention and described top ten pre-calculus books can help students learn. Each book has a unique style all of its own, this allows the student to select a book that fits their specific learn style, which will allow the student to succeed in their pre-calculus class. | 677.169 | 1 |
Math is the LibreOffice suite's formula editor, that can be invoked in your text documents, spreadsheets, presentations and drawings, to enable you to insert perfectly-formatted mathematical and scientific formulas. Your formulas can include a wide range of elements, from fractions, terms with exponents and indices, integrals, and mathematical functions, to inequalities, systems of equations, and matrices | 677.169 | 1 |
Inequalities Help : Videos | Worksheets | Word Problems
Many students find inequalities difficult. At TuLyn, we have hundreds of free inequalities video tutorials, printable inequalities worksheets, and inequalities word problems to help you better understand inequalities and get better grades.
Inequalities
In mathematics, an inequality is a statement about the relative size or order of two objects, or about whether they are the same or not.
The notation a < b means that a is less than b.
The notation a > b means that a is greater than b.
The notation a ≠ b means that a is not equal to b, but does not say that one is greater than the other or even that they can be compared in size.
In each statement above, a is not equal to b. These relations are known as strict inequalities. The notation a < b may also be read as "a is strictly less than b". In contrast to strict inequalities, there are two types of inequality statements that are not strict:
The notation a ≤ b means that a is less than or equal to b (or, equivalently, not greater than b)
The notation a ≥ b means that a is greater than or equal to b (or, equivalently, not smaller than b)
Many students find inequalities difficult. They feel overwhelmed with inequalities homework, tests and projects. And it is not always easy to find inequalities tutor who is both good and affordable. Now finding inequalities help is easy. For your inequalities homework, inequalities tests, inequalities projects, and inequalities tutoring needs, TuLyn is a one-stop solution. You can master hundreds of math topics by using TuLyn.
Our inequalities videos replace text-based tutorials and give you better step-by-step explanations of inequalities. Watch each video repeatedly until you understand how to approach inequalities problems and how to solve them.
Hundreds of video tutorials on inequalities make it easy for you to better understand the concept.
Hundreds of word problems on inequalities give you all the practice you need.
Hundreds of printable worksheets on inequalities let you practice what you have learned by watching the video tutorials.
Comparing Decimals With Inequality And Equals Sign Video Clip
This tutorial will be able to show you how to complete the equation will the missing inequality. You will learn the difference between inequalities and equalities as well as know which one to use in the following case scenario.
Post a homework question on inequalities:
Grade Level: Subject:
How Others Use Our Site
Apply rules for solving equations and inequalities. This site will help in teaching both 6th grade and 8th grade math in solving equations and inequalities. Need help with learning how to graph inequalities using x and y coordinates.
Many students find inequalities difficult. At TuLyn, we have hundreds of free inequalities video tutorials, printable inequalities worksheets, and inequalities word problems to help you better understand inequalities and get better grades. | 677.169 | 1 |
Work more effectively and gauge your progress as you go along! This Student Study Guide is designed to accompany Hughes-Hallett's "Calculus: Single Variable, 4th Edition." It contains additional study aids for students that are tied directly to the text. Now in its Fourth Edition, Hughes-Hallett's Calculus: Single Variable reflects the strong consensus within the mathematics community for a balance between contemporary and traditional ideas. Building on previous work, it brings together the best of both new and traditional curricula in an effort to meet the needs of instructors and students alike. The text exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that is easy to understand, and a flexible approach to technology. | 677.169 | 1 |
Usage ideas: A variety of rules, theorems, and processes are presented with easy to understand examples, students will use the rules and theories in a variety of activities to instill a solid foundation of algebra | 677.169 | 1 |
High schools today give students a greater number of choices than used to be available. These choices include what major to pursue, what courses are required, what are elective courses for that major, and in what years it is possible to take some of these courses. Math is one of the subjects that has often
Middle school – and for the purposes of this article, we define it as sixth, seventh, and eighth grades – is a time when it is possible to thoroughly engage young people in learning. The catch is they have to see it as fun. Once upon a time, the goal of textbook authors was to
When a student finally reaches the twelfth grade, their thoughts are usually focused on graduating from high school. Twelfth graders are seniors, with much of the high-stress work behind them. By senior year, many students have already taken the standardized college entrance exams (SAT and ACT are the most common). If they are going to
Back-to-school shopping is so much easier from the comfort of home, so whether you're a teacher or a parent, you should consider getting your elementary math books online. From workbooks and textbooks to story books and even comic books, the ten choices on this list were created especially for students in first through fifth grades.
The top 10 11th Grade math books are full of challenging and unique learning opportunities and practice pages. From common core algebra problem solving to calculus and test preparation, these textbooks and workbooks are loaded with helpful, education material and are favorites of students and their classroom teachers, as well as home school students and
Introduction to 10th Grade Mathematics Many adults now out of school do not know how to do simple mathematics these days. While most arrive, at the same answer to mathematics problems, it is difficult indeed to help children and grandchildren at home, because the school systems want children to learn mathematics the way they teach
As your child progresses through school, they need to stay on top of their math lessons. There is no shortage to the amount of math they need to learn as every year builds on what they learned the previous year. If your child is unable to recall information learned, they are going to struggle significantly.
The sixth grade is a very important in the educational evolution of a child. This is a time where a child is going to learn many of the essential formulas and building blocks for future math classes. Due to this, a child needs to have access to the very best sixth grade math books. While
These top ten 4th grade math books help students learn to love math and have fun while improving their math skills. From mathematic topics like multiplication and division to fun and challenging word problems, most books include answer keys and tables and other learning aids. Books are useful in school, at home, and are favorites
There is a veritable plethora of math books for children. Wading through the seas of textbooks to find what you're looking for, in this case, 3rd grade math textbooks, can be time-consuming and frustrating. When you do find one, how do you know if it's any good? Are math books published by educational giant Houghton | 677.169 | 1 |
Overview
Calculate this: learning CALCULUS just got a whole lot easier!
Stumped trying to understand calculus? Calculus Demystified, Second Edition, will help you master this essential mathematical subject.
Written in a step-by-step format, this practical guide begins by covering the basics--number systems, coordinates, sets, and functions. You'll move on to limits, derivatives, integrals, and indeterminate forms. Transcendental functions, methods of integration, and applications of the integral are also covered. Clear examples, concise explanations, and worked problems make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key concepts.
It's a no-brainer! You'll get:
Applications of the derivative and the integral
Rules of integration
Coverage of improper integrals
An explanation of calculus with logarithmic and exponential functions
Details on calculation of work, averages, arc length, and surface area
Simple enough for a beginner, but challenging enough for an advanced student, Calculus Demystified, Second Edition, is one book you won't want to function without!
Related Subjects
Meet the Author
Steven G. Krantz is Chairman of the Mathematics Department at Washington University in St. Louis. An award-winning teacher and author, Dr. Krantz has written more than 30 books on mathematics, including Calculus DeMYSTiFieD, and Differential Equations DeMYSTiFieD. He is the former Deputy Director at the American Institute of Mathematics.
Most Helpful Customer Reviews
Calculus Demystified is not like the other math books in the Demystified series. It's much more opaque, and isn't particularly suited for filling in the gaps. The book skims over a huge chunk of derivatives in a single chapter. There are no answers to the 'you try this' exercises, which are mystifyingly complex, so (unlike Algebra Demystified, for example) you don't know if you've got it right or not. The exercises in chapter 2 assume you've read chapter 5 (!) and learned 'non-trivial' (the author's words) facts about limits. Even Finney/Thomas doesn't expect you to have mastered material from later in the book to do the exercises. Calculus Demystified would not be all that suitable for people taking calculus the first time (home school, AP, college, etc), but might be OK for people who already know it who need to review (although you'd have to remember calculus fairly well to hold your own). Wasn't this book 'beta tested' by first-time calculus students?
dhsmith13
More than 1 year ago
I bought this book because I am interested in tutoring high school and college calculus and wanted to evaluate it as a teaching aid. After working through the first chapter (basics) I am very disappointed with it for a number of reasons. The worst of these is that the answers provided for the practice questions are frequently incorrect. In particular, the majority of problems dealing with graphing of functions are completely wrong. For a student attempting to learn or review the subject this could be especially frustrating, as they might spend a lot of time trying to understand a problem based on incorrect information. Other problems include: 1. The author occasionally uses a concept before he has defined it or explained it,2. the author provides example problems labeled "You try it" throughout the chapter that are frequently much more difficult than the examples that are explained but no answers to these problems are provided,and 3. the sections labeled "Still puzzled?" might be expected to provide additional insight on the earlier material but usually contain substantially new information.
Although for some advanced student of math this book might provide a useful review of the material, for anyone who finds math mystifying, this book should be avoided.
I only gave this book one star because the web site wouldn't accept a review with 0 stars.
nezbit
More than 1 year ago
Would have been better to use money to get sparknotes. Purchased book to help with Calculus studies. Got through the basics easily, but the REAL calculus wasn't so easy. This book lacked detailed examples for beginners or intermediates. The audience of this book was more for teachers and advanced mathmaticians. This book also lacks practice problems to help you use the material.
Anonymous
More than 1 year ago
I'd recommend this book to anybody who needs to catch up on their calculus skills. Not the best choice for beginners. Great for references.
Anonymous
More than 1 year ago
If I had this book 50 years ago I would have failed calculus. KISS is not in the authors vocabulary. I purchased this book for review. Basic Calc is not that difficult. Can't recommend this book to keep it that way. | 677.169 | 1 |
Basic College Mathematics
Browse related Subjects ...
Read More skills and concepts. Martin-Gay enhances readers' perception of math by exposing them to real-life situations through graphs and applications and ensures that readers have an organized, integrated learning system at their fingertips. The integrated learning resources program features book-specific supplements including Martin-Gay's acclaimed tutorial videotapes, CD videos, and MathPro 5. This book covers topics such as multiplying and dividing fractions, decimals, ratios and proportion, percent, geometry, statistics and probability, as well as an introduction to algebra. For anyone who wishing to brush up on their basic mathematical skills | 677.169 | 1 |
35406644 Maple V (v. 5)
Meeting the needs of scientists - whether mathematicians, physicists, chemists or engineers --in terms of symbolic computation, this book allows them to quickly locate the method they require for the precise problem they are adressing. It requires no prior experience of symbolic computation, nor specialized mathematical knowledge, and provides quick access to the practical use of symbolic computation software. The organization of the book in mutually independent chapters, each focusing on a specific topic, allows the user to select what is of interest without necessarily reading everything and the whole is supplemented by a detailed table of contents and index,. | 677.169 | 1 |
MATH 1350
Mathematics for Teachers I (Fundamentals of Mathematics I) This is a Texas Common Course Number.This is a Core Curriculum course selected by the colleges of DCCCD. Prerequisite Required: MATH 1314 or the equivalent. Course Description: Concepts of sets, functions, numeration systems, number theory, and properties of the natural numbers, integers, rational, and real number systems with an emphasis on problem solving and critical thinking. This course is designed specifically for students who seek elementary and/or middle grade teacher certification. (3 Lec.)
Coordinating Board Academic Approval Number 2701015619 | 677.169 | 1 |
Fully covering the revised 2012 syllabus and addressing the new focus on applications and the GSC, this text has over 600 pages of guided explanation and exercises to ensure your students achieve the best results. An eBook with extensive digital material gives even more support, with interactive worked solutions, conceptual animations and more. more...
The easy way to brush up on the math skills you need in real life Not everyone retains the math they learned in school. Like any skill, your ability to speak "math" can deteriorate if left unused. From adding and subtracting money in a bank account to figuring out the number of shingles to put on a roof, math in all of its forms factors into daily... more...
This book gives a systematical presentation of stochastic approximation methods for models of American-type options with general pay-off functions for discrete time Markov price processes. It is the first volume of the comprehensive two volumes monograph. more...
Andrew Hacker?s 2012 New York Times op-ed questioning the requirement of advanced mathematics in our schools instantly became one of the paper?s most widely circulated articles. Why, he wondered, do we inflict a full menu of mathematics?algebra, geometry, trigonometry, even calculus?on all young Americans, regardless of their interests or aptitudes?... more...
This volume offers a concise, highly focused review of what high school and beginning college undergraduates need to know to successfully solve the trigonometry problems they will encounter on exams. Rigorously tested examples and coherent, to-the-point explanations are presented in an accessible form and will provide valuable assistance in conquering... more...
The third edition of this bestselling book for teachers of secondary mathematics has been brought right up to date and benefits from an extra teacher voice. Together, the authors show how active learning and introducing an element of surprise can bring mathematics alive. With a firm focus on problem solving, independent exploration, thinking skills... more... | 677.169 | 1 |
Taking an informal approach, Hagle presents a review of the basic mathematical concepts that underlie most quantitative analysis in the social sciences. After an algebra review featuring sets and combinations, Hagle discusses limits and continuity. Calculus is presented next, with an introduction to differential calculus. Multivariate functions, partial derivatives and integral calculus are discussed; the author concludes with a discussion of matrix algebra. Aimed at readers who have taken one or two courses in algebra, this volume is packed with helpful definitions, equations, and examples as well as alternative notations. A useful appendix of common math symbol and Greek letters is also included.
Available formats
ISBN: 9780803958753 | 677.169 | 1 |
Course Summary
Our Business 110: Business Math course is a quick and affordable way to earn transferable college credits in business. With our engaging and fun video format, our expert instructors make even the most challenging topics easy to understand and enjoyable to learn.
Complete Business 110 by watching videos, taking short quizzes and completing practice exams.
Contact our expert instructors if you ever have questions.
Take the credit-granting Business 110 exam on our site.
Transfer credit to your school!
Course Format:
Business 110 Business 110: Business Math
You can easily break up this course into short chunks to make it easier to study when it's convenient for you. Since each video lessons is 5-10 minutes long, you can study in small segments or for long bursts. The study schedule below gives you an estimate of approximately how long it will take for you to complete this Business 110 course.
Study Frequency
When You'll Be Ready for the Exam
3 hours a day; 3 days a week
1 week
2 hours a day; 3 days a week
1 1/2 weeks
1 hour a day; 3 days a week
3 weeks
Who's It For?
This business course is designed for students who want to save time and money while completing their college education. If you're currently in college and need to pass Business 110 the mathematic concepts, calculations, and formulas you will use in business situations, including setting up equations, graphing, probability, interest rates, depreciation, purchases, and more. Skip the lectures, books and semester and completing homework. Start mastering the basics of business today.
Prerequisites
Why It Works:
Efficient: Short video lessons focus on the need-to-know Business 110 topics.
Comprehensive: From how to calculate percents to currency conversions and exchange rates, this course covers the breadth of introductory business.
Convenient: Study on your laptop, tablet or phone. Learn business wherever you go!
Learn Your Way: Each video lesson combines visuals, professional audio and complete transcripts to teach you in different ways.
Expert Instructors: Learn from business experts who make topics clear, interesting and fun!
Course Topics
Category
Objectives
Number Sense
Solve problems using percentages, fractions, mixed numbers and decimal numbers. Compare and order fractions and decimal numbers. Change between decimals and percentages and decimals and fractions. Convert common units of measure. Use the order of operations. Understand and interpret bar graphs, pie charts, and other graphical representations.
Determine the equation of a line using point-slope formula. Graph undefined slope, zero slope and 1- and 2-variable inequalities. Use the distance and midpoint formulas. Graph basic functions and functions of functions. Determine the domain and range of a function.
Quadratic Equations and Functions
Solve quadratics that are not in standard form. Solve quadratic equations by factoring and using the quadratic formula. Use the reverse of FOIL. Complete the square.
Probability and Statistics for Business Math
Calculate mean, median, mode and range. Understand standard deviation and shifts in the mean. Understand probability of simple, compound and complementary events as well as independent and dependent events. Calculate statistical significance. Calculate expected value given a probability. Understand shifts in the mean and normal distributions. Calculate and identify averages. Understand percentiles.
Depreciation/Salvage Values
Compute and record methods of depreciation. Understand depreciation for partial years and changes in estimates. Report depreciation on a balance sheet. Understand accelerated depreciation.
Grading Policy
Your grade for this course will be calculated out of 150 points. The minimum score required to pass and earn real ACE college credit for this course is 105 points, or an overall course grade of 70%. The table below shows the assignments you must complete and how they'll be incorporated into the overall grade.
Assignment
Possible Points
Quizzes
50
Proctored Final Exam
100
Total
150
Quizzes are meant to test your comprehension of each lesson as you progress through the course. You must complete the required quizzes with a score of 80% or higher to earn points toward your final grade and access the proctored final exam. Chapter exams are for self-assessment and do not count toward your final grade.
The proctored final exam is a cumulative test designed to ensure that you've mastered the material in the course. You'll earn one point for every percentage point you receive on the proctored final. (So if you score an 85% on the final, that's 85 points toward your final grade.) Business 110: Business Math Com or education level. | 677.169 | 1 |
Course Description
MATH 095
Intermediate Algebra
Units: 3
This course presents intermediate-level algebra. A student should take one of MATH 095 or MATH 096. MATH 095 topics include linear graphs, mathematical models, systems of equation in two and three variables, multiplying and factoring polynomial functions, rational and radical expressions and functions, complex numbers, quadratic equations and functions, and mathematical modeling with quadratic functions. This course does not meet the General Studies requirement in Skills and University Requirements and does not count toward total units needed for graduation. Prerequisite: MATH 090, MATH 091, appropriate score on APU mathematics placement test, or SAT 500/ACT 20 math score | 677.169 | 1 |
Featured ProductsSpectrum® Middle-School Math helps students apply essential math skills to everyday life with lessons in Geometry, Algebra, and Data Analysis and Probability. Designed for students in grades 6–8, the variety of activities also helps extend problem-solving and analytical abilities. The workbooks are aligned to current state standards, feature easy-to-understand directions, and include a complete answer key. Perfect for use at home or school, Spectrum® is the learning partner students need for complete achievement. 128 pages.Help students to practice the strategies and acquire the skills needed to successfully perform on Common Core State Standards assessments. Each book includes test-taking tips, instructional resources, practice assessments using literature, informational text, and paired passages | 677.169 | 1 |
Find a Villanova Algebra 1That is, Algebra 2 uses the same operations on advanced algebraic operations, introduce square roots and simplifying and perform the same operations as equations. Polynomials seem to be most difficult because some contain fractions and fractions are a bit more difficult to perform operations wit | 677.169 | 1 |
That or the fact that no one buys a book that has a cover full of mathematical formulas and stuff. I think it's just marketing.
Schools are required to buy them (at least in Australia) so that's irrelevant...
Besides, it's not as if a picture of someone skydiving is going to make you think it's a book about skydivers when the title reads "Mathematic Skills 10"." | 677.169 | 1 |
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Wolfram SystemModeler: Developing Systems Biology Models
Robert Palmér
This course from the Wolfram SystemModeler Virtual Conference 2012 provides an introduction to the BioChem library and the Systems Biology Add-On and teaches you how you can build, simulate, and analyze biochemical models using SystemModeler and Mathematica.
An electrical and computer engineering graduate student researcher shares his insights from academics and industry about how he uses Mathematica and the Wolfram Language, and how it compares to Matlab.
This free workshop is designed for educators, technology coaches, and anyone interested in incorporating the latest technology into the classroom. Presentations include how to get started using Programming Lab. Learn ...
Learn how the engineering curriculum can be revitalized by making SystemModeler an integral part of the education experience. See how SystemModeler improves the way engineering courses are taught and demonstrate ...
In this free online workshop we discuss methods for introducing computational thinking and programming activities to middle and high school students. We also discuss specific activities that support and introduce ...
Get the basics of neural networks and applications such as image/speech recognition, image captioning, question answering, and game playing. A case study of the ImageIdentify built-in Wolfram Language symbol ...
Solving partial differential equations both symbolically and numerically in the Wolfram Language. Learn about specification of PDEs, boundary conditions, regions, and new functionality like eigensystem computation. | 677.169 | 1 |
9780471662College Algebra, Student Solutions Manual
Take the fear out of math once and for all! By following a distinctive approach in explaining algebra, College Algebra helps alleviate the readers' anxiety toward math. The book encourages them to develop sound study and problem solving skills. In order to make the material more accessible, examples are integrated throughout the chapters that contain more detailed annotations using everyday language. Also, after an example is presented, an exercise is typically included to help readers apply the material right away in order to reinforce the | 677.169 | 1 |
was selected from a broader, comprehensive course, College Algebra. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers equations and inequalities, relations and functions, polynomial and rational functions, exponential and logarithmic functions, systems of equations, conic sections and a variety of other AP algebra, advanced algebra and Algebra Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas and of the textbook The Heart of Mathematics: An Invitation to Effective Thinking. He also speaks frequently to professional and public audiences, referees professional journals, and publishes articles in leading math journals, including The Journal of Number Theory and American Mathematical Monthly.Hey, welcome to algebra. My name is Professor Edward Burger, and I am looking forward to sharing with you all that I know about algebra, which will take about five minutes. No, but really... We're going to take a look at algebra from the very beginning through sort of the entire course, and see what's at the heart of algebra. Now, you know what makes the subject hard? It's the fact that it's a whole bunch of different topics and different techniques that are sort of pulled together. And if you think of them as different topics and different techniques, then it's like a ton of stuff you have to memorize and you've got to remember all this stuff--the formulas, the lines, the slopes... And after a while you have blurry vision.
The real key is to sort of see the basic ideas behind all these techniques. And the power of seeing the ideas behind the techniques is that way we can actually see sort of the major themes and the major paradigms, and then we can actually understand what's going on more effectively, we can actually solve the questions and answer the questions we're asked, solved the problems that we face more accurately and more correctly, not by sort of picking and choosing things sort of randomly and saying, "Well, I'll just try this and hope it works," but really having a concrete an firm understanding about what's going on.
Now, that path, by the way, is going to be bumpy. There's a lot of stuff up there that requires sort of a lot of work and is technical stuff and so forth, and so what we're going to do together is work through that, and you're going to see sort of the classic mistakes that people make, and I will make those mistakes and you'll see what it looks like, and so that way you hopefully won't make them yourself. And you'll see sort of the tricks of the trade and you'll see sort of how to do things, and you'll have an opportunity to try. The important thing, and the only way to really learn how to do math at all is to do it. It's really not a spectator sport, it's a sport that you have to sort of delve into and just do, and I know you can do it.
So I hope that you're going to join me in this course on algebra to really nail it for sure and just conquer it. Now, in fact, we're going to have some fun, too. There are deep ideas, there are hard ideas, but we're also going to try to do it in sort of a fun way. For example, we're going to see how algebra will allow us to make lots of money. This is pretty cool. If you had a lot of money, maybe you wouldn't even take algebra. In fact, if you had all the money in the world, would you take algebra? I don't know? Anyway, we'll see. Also, we'll see that it's hip to be square.
We'll play all sorts of games, like "Match Game," whatever that means right now. It's not clear. We'll play "What's My Curve." That's going to be sort of fun. You're going to learn about that. And, of course, "Can They Multiply?" That's right, there's even a little bit of nuance and romance here in algebra, even though you'd say, "God, romance in algebra? Not possible." And we'll see waves and fish and so forth. We'll learn about rolling dice and seeing the probability of winning at dice and card games. That's sort of a fun thing to do. We'll learn about things like spring motion and see how well that works and see that really, it's algebra. In fact, when you think about the whole world, the truth is that Algebra is all around us. Algebra is just all around us all the time. And so to sort of capture this and really understand this, is a great thing to do. It's really fun.
How's this going to work? Well, basically, I'll talk for a little bit and give sort of a little bit of a lecture or whatever you want to call it, or just commentary or thoughts or random thoughts, or whatever I'm thinking at the moment, and over here on the side board here, on this white board, what you're going to see there are some really pretty prose written out really pretty with figures and so forth. Boy, it's really cool. For example, I might want to say, "You can nail algebra." See, there it is. So I can use that. And also, it's an opportunity or interface for us to communicate. For example, suppose I want your input on something. Well, I can actually have your input by just asking a question and having you sort of input the answer. For example, suppose I want to ask you what you think your grade is going to be in this course, and here are three possibilities. Okay, here we go. Possibility number one, you get an A; possibility number two, you get an A; possibility number three, you get an A. All right. Vote now for which grade you think you're going to get in this course.
Prerequisites
Introduction
Introduction to Algebra Page [1 of 1 | 677.169 | 1 |
Calculus & Ordinary Differential Equations
1st Edition
Description
Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students.
Readership
First year undergraduate mathematicians and other students taking a first course in calculus. Also physicists and engineers needing to sharpen up their calculus. | 677.169 | 1 |
Almost every student has to study some sort of mathematical proofs, whether it be in geometry, trigonometry, or with higher-level topics. In addition, mathematical theorems have become an interesting course for many students outside of the mathematical arena, purely for the reasoning and logic that is needed to complete them. Therefore, it is not uncommon to have philosophy and law students grappling with proofs. This book is the perfect resource for demystifying the techniques and principles that govern the mathematical proof area, and is done with the standard "Demystified" level, questions and answers, and accessibility. | 677.169 | 1 |
According to OER Commons, "Crossroads in Mathematics: Standards for Introductory College Mathematics Before Calculus has two...
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According to OER Commons, "Crossroads in Mathematics: Standards for Introductory College Mathematics Before Calculus has two major goals: to improve mathematics education at two-year colleges and at the lower division of four-year colleges and universities and to encourage more students to study mathematics. The document presents standards that are intended to revitalize the mathematics curriculum preceding calculus and to stimulate changes in instructional methods so that students will be engaged as active learners in worthwhile mathematical tasks. Preparation of these standards has been guided by the principle that faculty must help their students think critically, learn how to learn, and find motivation for the study of mathematics in appreciation of its power and usefulness' (direct from website). Users can access all chapters of the book as well as the Illinois Mathematics Association of Community Collegesroads in Mathematics: Standards for introductory college mathematics before calculus to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Crossroads in Mathematics: Standards for introductory college mathematics before calculus
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'This review book, used in conjunction with free online YouTube videos, is designed to help students prepare for exams, or...
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'This review book, used in conjunction with free online YouTube videos, is designed to help students prepare for exams, or for self-study. The topics covered here are most of the standard topics covered in a first course in differential equations.The chapters and sections of this review book, organized by topics, can be read independently. Each chapter or section consists of three parts: (1) Theory; (2) YouTube Example; and (3) Additional Practice. In Theory, a summary of the topic and associated solution method is given. It is assumed that the student has seen the material before in lecture or in a standard textbook so that the presentation is concise. In YouTube Example, an online YouTube video illustrates how to solve an example problem given in the review book. Students are encouraged to view the video before proceeding to Additional Practice, which provides additional practice exercises similar to the YouTube example. The solutions to all of the practice exercises are given in this review book's Appendix.For students who self-study, or desire additional explanatory materials, a complete set of free lecture notes by the author entitled An Introduction to Differential Equations can be downloaded by clicking HERE. This set of lecture notes also contains links to additional YouTube tutorials. The lecture notes and tutorials have been extensively used by the author over several years when teaching an introductory differential equations course at the Hong Kong University of Science and Technology Differential Equations with YouTube Examples to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Differential Equations with YouTube Examples
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'This first-year calculus book is centered around the use of infinitesimals, an approach largely neglected until recently for...
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'This first-year calculus book is centered around the use of infinitesimals, an approach largely neglected until recently for reasons of mathematical rigor. It exposes students to the intuition that originally led to the calculus, simplifying their grasp of the central concepts of derivatives and integrals. The author also teaches the traditional approach, giving students the benefits of both methods.Chapters 1 through 4 employ infinitesimals to quickly develop the basic concepts of derivatives, continuity, and integrals. Chapter 5 introduces the traditional limit concept, using approximation problems as the motivation. Later chapters develop transcendental functions, series, vectors, partial derivatives, and multiple integrals. The theory differs from traditional courses, but the notation and methods for solving practical problems are the same. The text suggests a variety of applications to both natural and social sciences Calculus: An Approach Using Infinitesimals to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Elementary Calculus: An Approach Using Infinitesimals
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״At first blush one might think that of all areas of mathematics certainly arithmetic should be the simplest, but it is a...
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״At first blush one might think that of all areas of mathematics certainly arithmetic should be the simplest, but it is a surprisingly deep subject. We assume that students have some familiarity with basic set theory, and calculus. But very little of this nature will be needed. To a great extent the book is self-contained. It requires only a certain amount of mathematical maturity. And, hopefully, the student's level of mathematical maturity will increase as the course progresses. Before the course is over students will be introduced to the symbolic programming language Maple which is an excellent tool for exploring number theoretic questions Number Theory to your Bookmark Collection or Course ePortfolio
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Euclid's Elements form one of the most beautiful and influential works of science in the history of humankind. Its beauty...
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Euclid's Elements form one of the most beautiful and influential works of science in the history of humankind. Its beauty lies in its logical development of geometry and other branches of mathematics. It has influenced all branches of science but none so much as mathematics and the exact sciences. The Elements have been studied 24 centuries in many languages starting, of course, in the original Greek, then in Arabic, Latin, and many modern languages.The text of all 13 Books is complete, and all of the figures are illustrated using the Geometry Applet, even those in the last three books on solid geometry that are three-dimensional Euclid's Elements to your Bookmark Collection or Course ePortfolio
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The materials here form a textbook for a course in mathematical probability and statistics for computer science students.״Why...
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The materials here form a textbook for a course in mathematical probability and statistics for computer science students.״Why is this course different from all other courses?״ * Computer science examples are used throughout, in areas such as: computer networks; data and text mining; computer security; remote sensing; computer performance evaluation; software engineering; data management; etc. * The R statistical/data manipulation language is used throughout. Since this is a computer science audience, a greater sophitication in programming can be assumed. It is recommended that my R tutorial, R for Programmers, be used as a supplement. * Throughout the units, mathematical theory and applications are interwoven, with a strong emphasis on modeling: What do probabilistic models really mean, in real-life terms? How does one choose a model? How do we assess the practical usefulness of models? * There is considerable discussion of the intuition involving probabilistic concepts. However, all models and so on are described precisely in terms of random variables and distributions.For topical coverage, see the book's detailed table of contents From Algorithms to Z-Scores: Probabilistic and Statistical Modeling in Computer Science to your Bookmark Collection or Course ePortfolio
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This OPEN TEXTBOOK is for Politically-Oriented Web-Enhanced Research Methods for Undergraduates — Topics and Tools: Resources...
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This OPEN TEXTBOOK is for Politically-Oriented Web-Enhanced Research Methods for Undergraduates — Topics and Tools: Resources for introductory research methods courses in political science and related disciplines The POWERMUTT Project is a cross between an introductory political science research methods textbook and an online resource for teaching and learning such methods. It includes: Topics. Each topic is equivalent to a short chapter in a traditional textbook. Tools. These are brief step-by-step tutorials for carrying out specific techniques. At present, the Tools described are some of those found in SPSS, a leading software package for statistical analysis. Datasets and codebooks. Data, and codebooks describing them, on public opinion, the American states, the U.S. Congress, and the countries of the world. Links to other sites providing additional information about research methods. Compared to traditional textbooks, POWERMUTT offers several important advantages, including: Flexibility. Your instructor may have decided to adopt the entire POWERMUTT site as the main course "textbook," or to use just a small portion of the site's resources as supplementary material. Interactivity. Want to see exactly how a table or graph was generated? With POWERMUTT PUPs (Pop Up Protocols), the answer is just a click away. Just as close is additional information on other resources within POWERMUTT or elsewhere on the Web. Affordability. In fact, it's free! However, your instructor may ask you to purchase hard copy of all or part of POWERMUTT for a nominal cost at your campus copy center. While most of the materials in the project are for reference, some, especially the Topics, need to be studied carefully. A highlighter will really mess up your monitor. You can save money by directly downloading the Topics and printing them at home Research Methods in Political Science: to your Bookmark Collection or Course ePortfolio
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From the preface: "This is a book on linear algebra and matrix theory. While it is self-contained, it will work best for...
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From the preface: "This is a book on linear algebra and matrix theory. While it is self-contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however." A solutions manual to the exercises in the textbook is about the material in this {0}
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Select this link to open drop down to add material Linear Algebra, Theory and Applications MAPLE-based textbook for probability and statistics to your Bookmark Collection or Course ePortfolio
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'Mathematical Reasoning: Writing and Proof is designed to be a text for the first course in the college mathematics curriculum...
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'Mathematical Reasoning: Writing and Proof is designed to be a text for the first course in the college mathematics curriculum that introduces students to the pro-cesses of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are as follows:To help students learn how to read and understand mathematical definitions and proofs;To help students learn how to construct mathematical proofs;To help students learn how to write mathematical proofs according to ac-cepted guidelines so that their work and reasoning can be understood by others; andTo provide students with material that will be needed for their further study of mathematics Mathematical Reasoning: Writing and Proof to your Bookmark Collection or Course ePortfolio
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Show More continually reinforcing the connectionsamong various mathematical concepts as well as different solution methods, the authorslead readers to the ultimate goal of mastery and success. Basic Concepts of Algebra. Graphs, Functions, and Models. Functions, Equations, and Inequalities. Polynomial and Rational Functions. Exponential and Logarithmic Functions. The Trigonometric Functions. Trigonometric Identities, Inverse Functions, and Equations. Applications of Trigonometry. Systems of Equations and Matrices. Analytic Geometry Topics. Sequences, Series, and Combinatorics. For all readers interested in algebra and trigonometry | 677.169 | 1 |
For all practical purposes(
Visual
) 44
editions published
between
1986
and
1997
in
English
and held by
308 WorldCat member
libraries
worldwide
A series which stresses the connections between contemporary mathematics and modern society. Presents a great variety of problems
that can be modeled and solved by quantitative means
College algebra in simplest terms(
Visual
) 4
editions published
in
1991
in
English
and held by
170 WorldCat member
libraries
worldwide
Presents the role of algebra in daily life and demonstrates practical applications in the workplace. Uses symbols, charts,
pictures, and state-of-the-art computer graphics to illustrate basic algebraic techniques. Reviews problems step-by step,
focusing on the methods students find most difficult to grasp
Algebra in simplest terms(
Visual
) 11
editions published
between
1991
and
2000
in
English
and held by
141 WorldCat member
libraries
worldwide
Solving equations is a basic operation of all higher math. This set shows algebra's usefulness to retailers, biologists, and
even anyone who drives a car. Host Sol Garfunkel walks viewers through realistic problems, highlighting the common trouble
spots
For all practical purposes. On size and shape(
Visual
) 1
edition published
in
1986
in
English
and held by
81 WorldCat member
libraries
worldwide
Program 18 discusses population growth and the importance of knowing it's rate of growth. Examples of growth rate are given
from the banking industry (compound interest) and fishing industry (fish population). Program 19 explains conic sections,
giving their history in terms of discovery and applications. Shows how various forms of a circle can be derived by a cone
and a plane
Mathematics : modeling our world(
Book
) 7
editions published
between
1998
and
2010
in
English
and held by
69For all practical purposes. Management science :(
Visual
) 7
editions published
between
1986
and
1988
in
English
and held by
43 WorldCat member
libraries
worldwide
Program 1 demonstrates the scope of applicability of management science concepts to algorithms. Program 2 explains the use
of graphs in solving routing problems
An introduction in ten parts ; Language of algebra(
Visual
) 5
editions published
in
1991
in
English and No Linguistic content
and held by
26 WorldCat member
libraries
worldwide
Program 1 introduces several mathematical themes and emphasizes why college algebra is important in today's world. Program
2 examines the vocabulary of mathematics, properties of the real number system, and basic axioms and theorems of college algebra
Mathematics : modeling our world(
Book
) 6
editions published
in
1998
in
English
and held by
24Juicy problems in(
Visual
) 6
editions published
between
1986
and
1987
in
English
and held by
24 WorldCat member
libraries
worldwide
The best possibility for profit can be determined by using a powerful management science tool called "linear programming."
Problems in scheduling, blending, resource and manpower utilization can be quantified. Mathematics has made it possible for
managers to save millions of dollars and improve quality
Functions ; Composition and inverse functions(
Visual
) 2
editions published
in
1991
in
English
and held by
23 WorldCat member
libraries
worldwide
Program 13 defines a function, develops an equation from real situations, and discusses domain and range. Program 14 uses
graphics to introduce composites and inverses of functions as applied to cost and production level
Variation ; Polynomial functions(
Visual
) 2
editions published
in
1991
in
English
and held by
23 WorldCat member
libraries
worldwide
Program 15 applies variation to previously discussed programs and applications. Program 16 covers how to recognize, graph,
and determine all of the intercepts of a polynomial function
Mathematics : modeling our world : Pre-Calculus(
Book
) 1
edition published
in
2000
in
English
and held by
23Overview(
Visual
) 11
editions published
between
1985
and
1987
in
English
and held by
21 WorldCat member
libraries
worldwide
Introduces the major themes of statistics, collecting data, organizing and picturing data and drawing conclusions from data.
Uses baseball, labor statistics, medical experiments, manufacturing quality as examples of statistical sampling | 677.169 | 1 |
AppliedApplied Mathematics provides easy-to-understand instruction in math skills, making use of numerous practical and realistic sample and practice problems. The problems are drawn from the building trades, machining/manufacturing and automotive industries, and other technical areas to providestudents with real-world applications of math skills. | 677.169 | 1 |
Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.
Editorial Reviews
Review
This self-contained introduction is suitable for a first sequence at the beginning graduate or upper undergraduate level. A distinguishing feature of the book is the early introduction of categories, used as a unifying theme. ---- SciTech Book News
Top Customer Reviews
I should first mention that I, along with about twenty of my fellow first-year mathematics graduate students, scoured this book from beginning to end. We completed nearly every exercise, and discovered a number of errata (there is quite a large list available on the author's website, but this book shines in spite of it all).
I've experienced Fraleigh, Artin, Dummit and Foote, and Aluffi's texts on abstract algebra. While each has it's place, I have to say that Aluffi is my favorite. His writing style is phenomenal (and humorously pretentious at times). This text is not intended to be a reference, but instead read from start to finish, and Aluffi monopolizes this to its full effect. The content is spot on for the intended audience. His exercises cover important, relevant topics to important fields I and my fellow graduate students intend to pursue. These include, but are not limited to: algebraic geometry, commutative algebra, homological algebra, and Lie theory.
This book is the best I have encountered for transitioning from an elementary understanding of abstract algebra to a mature perspective, backed by the might of category theory. That being said, I can see how the book may go more smoothly if one has had some initial exposure to algebra before Aluffi. This text does an excellent job synthesizing my understanding, but the organization could be confusing for a beginner.
My only real disappointment with the book is in the final chapter on homological algebra. By the last two or three sections, the content is almost prohibitively confusing. It could be the case that there are errata that have confused me (indeed, the listed errata on his website sharply fall in this chapter, and I believe it's because most students don't get this far).Read more ›
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This is a well organized and clearly written book. Professor Aluffi must be an excellent teacher. He guides the reader through the material and shows the beauty of the subject. His use of category theory- particularly universal properties- reveals the underlying unity of seemingly disparate notions.The chapters on Field Theory and Homological Algebra are superb. He always provides useful comments to place topics in context. I hope Professor Aluffi will write more texts.
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I attended a course in abstract algebra using Fraleigh's book. Then I sorta just stumbled across this one (which I should add covers a lot more than Fraleigh). With experience from Fraleigh's book (which is good) I can say this one is absolutely brilliant. It is well organized, covers a lot of ground in a (not too) leisurly pace, and the exercises are interesting. The best part about this book, however, is the way it seamlessly and naturally uses and demystifies category theory -- a subject I thought I'd not be able to understand for years -- to unify a great deal of the topic that is undergraduate/graduate algebra.
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This is a very good book overall, the author is a great expositor. Most of the book is very elegant in a way that does not sacrifice readability, and he will not hesitate to help parse when it does. My personal opinion is that it is outclassed by Mac Lane and Birkhoff's "Algebra", but I still wouldn't have many qualms about recommending the text to someone with suitable maturity wanting to learn the subject.
My only real quibbling with the book is how its main feature - the integration of category theory - is handled. I certainly agree that its use is beneficial in this context, but I think delaying the introduction of functors until the second-to-last chapter is a weakness if categories are going to come up as much as they do. He tosses them aside early for a more intuitive "working definition" of universals, which is understandable at first as it could easily be a bit much to take in at the time, but I assume that's the same reason adjoints are glossed over the way they are when introduced very shortly after functors. I think it would be helpful to just once when proving something is an adjunction prove the naturality part as well as the bijection part, because not doing so somewhat gives the idea that the naturality condition is simply auxiliary. In general, chapter VIII is a weak point in an otherwise very good book, in many ways it just seems like a preview of the following chapter with less substance than anywhere else in the book.
I'll also add as a very minor complaint: the determinant is poorly motivated upon it's introduction.Read more ›
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I find this book extraordinarily helpful for my self-study on derived categories. My motivation was to eventually understand algebraic analysis (D-modules) or algebraic geometry better. Before starting on more comprehensive textbooks on homological algebra by Gelfand-Manin, Kashiwara-Schapira, or even the appendix of Eisenbud, I found this book to be an ideal preparation. The style of the writing is as if listening to the author talk. He emphasizes the same important points repeatedly throughout the book and I benefited a lot from these repetitions. I had previously read parts of Lang's Algebra or Hormander's book on several complex variables, or Morimoto's Introduction to Hyperfunctions, and therefore had some modest exposure to sheaf cohomology theory or spectral sequences. But going through parts of Aluffi's book improved my understanding on homological algebra fundamentally. I would recommend the book also to mature mathematicians whose graduate education did not include much categorial viewpoints, but now curious engough to learn these viewpoints.
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Including an introduction to the history of algorithms as well as their more common contemporary uses, this mini-unit features short, easy problems and a few longer ones to help students understand the importance of algorithms in problem-solving. | 677.169 | 1 |
Samples in periodicals archive:
95 QA76 Intended for entry level undergraduate computer science courses, this textbook provides a methodological approach to the foundations of computer science, building on basic mathematical principles to guide students through a variety of topic areas to a full understanding of both theoretical and practical aspects of the discipline.
With a distinguished history that dates back to the 1920s, Bell Labs mathematicians have been credited with seminal contributions to fields such as optimization methods, error-correcting codes, high-speed modem coding, and the S language for statistical computing, and even with inventing some entirely new disciplines, such as information theory and the theory of complexity that provides the foundations of computer science. | 677.169 | 1 |
Where Have All the Flowers Gone?
Janet Walker
An activity for secondary mathematics students using digital imaging on The Geometer's Sketchpad to model polar functions of flowers. Students import images of flowers into GSP and use its capabilities to find a best fit polar equation.
This is available to members of NCTM. Please log in now to view this article. If you are interested in a NCTM membership join now. | 677.169 | 1 |
TERM Math Classes
TERM stands for Technology Enhanced Redesign of Mathematics, and the name implies learning is technology based.
What you can expect from your TERM course.
To pass the course, students must demonstrate mastery of the 10 modules by passing the module quizzes, comprehensive tests, and final exam.
Flexibility
Students can work as fast as they able, to complete the course. Some students complete more than one course in a semester. There is a minimum pace that has set deadlines for students to meet, however.
Computer-based Learning
Mathematical content instruction and homework is delivered via the web-based software MyMathLab, which includes an e-text (no need to purchase a textbook), video instruction, homework exercises, and tests.
Interactive Group Instruction
Each class meets one day a week in a classroom with an instructor. The first part of the class time is devoted to interactive group instruction designed to help students find success in learning mathematics. The remaining class time is for individual work and consultations with the instructor. Students also benefit from forming study teams and working collaboratively.
Tutoring Support
Instead of meeting for additional class periods each week, students work in the Hub – a computer lab specifically serving TERM students. Tutors and instructors provide personalized assistance as students study and learn math. Students may need to use tutoring assistance beyond the required, 100 minutes, Hub time to complete one module each week. Students learn better by discussing mathematics with a classmate, tutor and/or instructor.
Computerized Testing
Students are provided with three attempts to pass (at 70%) each module quiz and comprehensive test. Quizzes and tests are taken in the Hub Testing Centers. A Wildcard ID is needed to use the Hub Testing Center.
Fast Track
Students have the option of testing out of a module instead of doing the homework and quiz for the module. This is a great benefit for students who place in developmental math courses, but already know some of the concepts. Click here for more information.
Free Math Credit
The individualized structure of TERM allows students to work ahead of schedule. A student can complete two (or three) courses in one semester and are not required to pay tuition for the second (or third) courses completed within one semester. | 677.169 | 1 |
The Math Forum is a leading center for mathematics and mathematics education on the Internet. The Math Forum's mission is to provide resources, materials, activities, person-to-person interactions, and educational products and services that enrich and support teaching and learning in an increasingly technological world.
Our online community includes teachers, students, researchers, parents, educators, and citizens at all levels who have an interest in math and math education.
Math Tools is a project of The Math Forum @ Drexel, funded in part by the National Science Foundation. The goal is to create a community digital library that supports the use and development of software for mathematics education. We began work in September of 2002 and through the help of many people there is already an active and rich resource center.
By sharing our experiences, activities, comments, and needs, we can help each other find tools that are known to work well and learn how to use them and improve them. Teachers, students, researchers, publishers, and software developers are all working together in Math Tools.
An overview and, in some cases, details of the working groups, schedules, and projects from each summer session: High School Teacher Program, Undergraduate Faculty Program, International Seminar, Mathematics Education Research Program, and Math Science Partnership. | 677.169 | 1 |
Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from first principles. A Quick Introduction to Algebra... more...
Advanced Linear Algebra focuses on vector spaces and the maps between them that preserve their structure (linear transformations). It starts with familiar concepts and then slowly builds to deeper results. Along with including many exercises and examples, each section reviews what students need to know before studying the material. The book... more...
Lectures on N X (p) deals with the question on how N X (p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in l-adic cohomology and group representations, presented... more...
A Unified Account of Permutations in Modern Combinatorics A 2006 CHOICE Outstanding Academic Title, the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Permutations, Second Edition continues to clearly show the... more...
Arming readers with both theoretical and practical knowledge, Advanced Linear Algebra for Engineers with MATLAB ® provides real-life problems that readers can use to model and solve engineering and scientific problems in fields ranging from signal processing and communications to electromagnetics and social and health sciences. Facilitating... more...
Combinatorial Methods with Computer Applications provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. Requiring only a foundation in discrete mathematics, it can serve as the textbook in a combinatorial... more...
Combinatorial theory is one of the fastest growing areas of modern mathematics. Focusing on a major part of this subject, Introduction to Combinatorial Designs, Second Edition provides a solid foundation in the classical areas of design theory as well as in more contemporary designs based on applications in a variety of fields. After an overview... more...
Discover the Connections between Different Structures and Fields Discrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics,... more...
This workbook, which accompanies The Cryptoclub, provides students with problems related to each section to help them master the concepts introduced throughout the book. A PDF version is available at no charge. This file can be found under our Downloads and Updates tab. The teacher manual can be requested from the publisher by contacting the Academic... more... | 677.169 | 1 |
The concepts behind Calculus are actually simple and few in number. But they are often introduced in ways that seem complex and confusing. I will help explain the concepts and terms in simple English and with everyday examples | 677.169 | 1 |
Journey through Mathematics offers an in-depth look at some of the most important aspects of about two thousand years of mathematical history. Topics include trigonometry and logarithms, complex numbers, infinite series, calculus, and some of the lesser known, but crucial contributors to modern day mathematics. more...
Praise for the First Edition ". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice The concept of infinity... more...
The fun and easy way to learn pre-calculus Getting ready for calculus but still feel a bit confused? Have no fear. Pre-Calculus For Dummies is an un-intimidating, hands-on guide that walks you through all the essential topics, from absolute value and quadratic equations to logarithms and exponential functions to trig identities and matrix operations.... more... | 677.169 | 1 |
Details about Introduction to Applied Mathematics for Environmental Science:
This book teaches mathematical structures and how they can be applied in environmental science. Each chapter presents story problems with an emphasis on derivation. For each of these, the discussion follows the pattern of first presenting an example of a type of structure as applied to environmental science. The definition of the structure is presented, followed by additional examples using MATLAB, and analytic methods of solving and learning from the structure.
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Rent Introduction to Applied Mathematics for Environmental Science 1st edition today, or search our site for other textbooks by David F. Parkhurst. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Springer. | 677.169 | 1 |
This algebra deals mostly with linear functions. Algebra 2 is a more advanced, more complex version of algebra 1. Here we get more involved with non-linear functions as well as imaginary and complex numbers. | 677.169 | 1 |
Mathematics
While open to anyone interested in refreshing math skills, this course is designed primarily for new or current college students, particularly those who have not completed their college math requirement. It will provide math refresher materials covering a wide range of mathematical concepts.
Learn how to apply selected mathematical modelling methods to analyse big data in this free online course. Have you ever wondered how mathematics can be used to solve big data problems? This course will show you how. Mathematics is everywhere, and with the rise of big data it becomes a useful tool when extracting information and analysing large datasetsBiologists still cannot read the nucleotides of an entire genome as you would read a book from beginning to end. However, they can read short pieces of DNA. In this course, we will see how graph theory can be used to assemble genomes from these short pieces. We will further learn about brute force algorithms and apply them to sequencing mini-proteins called antibiotics. Finally, you will learn how to apply popular bioinformatics software tools to sequence the genome of a deadly Staphylococcus bacteriumThis course begins a series of classes illustrating the power of computing in modern biology. Please join us on the frontier of bioinformatics to look for hidden messages in DNA without ever needing to put on a lab coat. After warming up our algorithmic muscles, we will learn how randomized algorithms can be used to solve problems in bioinformaticsAfter sequencing genomes, we would like to compare them. We will see that dynamic programming is a powerful algorithmic tool when we compare two genes (i.e., short sequences of DNA) or two proteins. When we "zoom out" to compare entire genomes, we will employ combinatorial algorithms | 677.169 | 1 |
SimplexNumericaThis is an advanced expression and conversion calculator. Vast array of built-in functions, constants and confersion operations that can be extended with your own user-defined functions. Now with graphs.
Learning mathematics can be a challenge for anyone. Math Flight can help you master it with three fun activities to choose from! With lots of graphics and sound effects, your interest in learning math should never decline.
GrafEq (pronounced 'graphic') is an intuitive, flexible, precise and robust program for producing graphs of implicit relations. GrafEq is designed to foster a strong visual understanding of mathematics by providing reliable graphing technology.
The Dovada student calculator is ideal for use in the school, home, office or engineering and scientific research centers, anywhere scientific calculator or graphic calculator is continually used or required, great for that homework help.
Text editor with the additional capabilities of math notation and hypertext, aimed at the high school / college environment. Uses the RTF format known to Wordpad, Word. Generates HTML, so that math notation can be displayed by popular browsers. | 677.169 | 1 |
Description:The College Mathematics Journal emphasizes the first two years of the college curriculum. The journal contains a wealth of material for teachers and students. A wide range of topics will keep you current, stimulated, and entertainedSummary Many classical problems in elementary calculus use Euclidean geometry. This article takes such a problem and solves it in hyperbolic and in spherical geometry instead. The solution requires only the ability to compute distances and intersections of points in these geometries. The dramatically different results we obtain illustrate the effect curvature has on basic geometric objects. | 677.169 | 1 |
MA150 Precalculus Mathematics
for F1QQ consideration of those topics in algebra and trigonometry necessary for the calculus. Topics include: mathematical analysis of the line, the conic sections, exponential and logarithmic functions, circular functions, polynomial and rational functions, mathematical induction, and theory of equations. Pre-requisite: MA131 or equivalent. 3:0:3
Educational Philosophy: Philosophy of Learning in Mathematics: Solving problems in mathematics is primarily learning procedures and becoming proficient in specific skills used in those procedures. Therefore, proficiency comes only by practice (as in sports). Class time will be spent primarily in lecture, questions, and discussion to demonstrate skills and procedures. As each learner is different, students are expected to "practice" by completing a sufficient number of problems to gain proficiency | 677.169 | 1 |
Find a Newton Lower FallsThorough understanding of the theoretical underpinnings of this powerful tool can be left to the math majors. Those who ask for help in a calculus course are most often taking it as a requirement for a technical field. Here, the practical application of derivatives and integrals are what is important. | 677.169 | 1 |
Overview
The fastest, easiest way to master precalculus . . . by doing it!
all.
Precalculus: A Self-Teaching Guide includes an algebra review and complete coverage of exponential functions, log functions, and trigonometry. Whether you are studying precalculus for the first time, want to refresh your memory, or need a little help for a course, this clear, interactive primer will provide you with the skills you need. Precalculus offers a proven self-teaching approach that lets you work at your own pace-and the frequent self-tests and exercises reinforce what you've learned. Turn to this one-of-a-kind teaching tool and, before you know it, you'll be solving problems like a mathematician!
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Meet the Author
STEVE SLAVIN, Ph.D., is professor emeritus of economics at Union County College in Cranford, New Jersey. He is the author of several textbooks and self-teaching guides, including Quick Business Math, Math for Your First- and Second- Grader, All the Math You'll Ever Need, and Economics. GINNY CRISONINO has taught math, including the precalculus course, at Union County College in New Jersey for sixteen years. | 677.169 | 1 |
Elementary Geometry from an Advanced Standpoint
Browse related Subjects ...
Read More through Chapters 1-7 and devote most of its time to the material presented in Chapters 8, 10, 14, 19, and 20. Similarly, a less advanced class may go carefully through Chapters 1-7, and omit some of the more difficult chapters, such as 20 and 24.
Read Less
Fair. Pages have been torn out | 677.169 | 1 |
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Full Algebra Curriculum
Logarithm Equations Worksheets By Specific Topic Area
We trimmed these down to focus on skills that are found in the Core curriculum.
These are all new and improved to match the standards. We will be adding many
more all the time. You will find these super helpful. For a full algebra curriculum
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Intermediate Algebra for College Students, Books a la Carte Edition
Overview
Understanding Algebra
Through many successful editions, the Angel team has developed a text that students can read, understand, and enjoy. They've done this by pairing clear explanations (in short sentences!) with detailed examples and thorough exercise sets.
This program provides a better teaching and learning experience for you and your students. Here's how:
MyMathLab® (available separately) improves results with a new video lecture series and a new downloadable Student Workbook that can be packaged with the text and/or the MyMathLab code.
Carefully crafted exercise sets give students the practice they need to build understanding. | 677.169 | 1 |
Many instructors find themselves struggling to get students to remember how to rearrange simple equations (like the one for velocity). There are many reasons that students need review: they may be math phobic, or have forgotten their algebra skills, or maybe they just never learned it. Nonetheless, the Manipulating Equations unit is designed to help your students catch up so that they can remember how to rearrange any equation.
What should the student get out of this page?
This module is designed to address faculty concern that many students do not know how to manipulate equations to solve for another variable.
By the time they finish this page, students should know:
the steps essential to manipulating equations,
that manipulating equations before plugging in numbers is easier (and more powerful) than inserting numbers immediately,
rules for manipulating equations (i.e., performing the same operation on both sides of an equation).
The manipulating equations page should help students gain a bit more confidence in their abilities to use math to solve problems that are common in introductory geoscience.
Why is it hard for students?
Students struggle with equation manipulation for a variety of reasons:
As with many topics covered on this website, one obstacle to learning how to manipulate equations is math phobia - many students believe that they can't "do math". This belief is so strong that they generate a mental block and are often unwilling to even consider trying to manipulate an equation. Giving students support in building their math skills may help some of them to overcome this problem.
Many students have the impression that there is "magic" in numbers. Thus, they immediately plug in numbers and try to rearrange the equation with the numbers. Sometimes this works but often, they cannot see their way to isolating the unknown variable when there are numbers in the way. This can also lead to problems with units if they don't keep track of what units go with what number!
In addition to the "magic numbers" problem, some students are intimidated by the idea of manipulating equations with only "variables" in them. This may be because they feel more comfortable performing an operation on a number (e.g., multiplying by by 8 or 42) than on a letter (m or v). This is compounded even further if there is a Greek letter like ρ or θ involved in the equation.
Students think they should just be able to use the formula that they memorized (e.g., rate = distance/time) to solve all problems in a single step. This page (and the associated practice problems) attempts to get them to do more than one step.
What did we leave out of this page?
This module is designed to remind students of the simple mathematics
that they may have forgotten. We only address simple mathematical operations: addition, subtraction, multiplication and division. The rules will work for any other operations (such as exponents and other operations). When these types of operations come up in other parts of this site, they are addressed with in these pages (e.g., the trigonometry page addresses inverse trig functions).
Instructor Resources
Many mathematical sites have pages dedicated to equation manipulation: | 677.169 | 1 |
Introduction to Mathematical Physics explains to the reader why and how mathematics is needed in the description of physical events in space. For undergraduates in physics, it is a classroom-tested textbook on vector analysis, linear operators, Fourier series and integrals, differential equations, special functions and functions of a complex variable. Strongly correlated with core undergraduate courses on classical and quantum mechanics and electromagnetism, ithelps the student master these necessary mathematical skills. | 677.169 | 1 |
Find a Mountlake TerraceWhen I took a math class on Differential Equation (DiffEq), I thought it was easier to understand than Calculus. In this DiffEq class, I learned about how to solve first-order differential equations that describe systems such as population growth and the harmonic oscillator. These differential equations even involve imaginary numbers and eigenvalues and eigenvectors. | 677.169 | 1 |
Middle-school courseware targets algebra
updated 04:30 pm EDT, Mon October 1, 2007
by MacNN Staff
MIND middle-school algebra
The MIND Research Institute has released a new courseware package, ST Math: Algebra Readiness Supplemental. The software targets teachers of middle-schoolers, helping them prepare students for algebra through a series of visually-oriented game modules. These concentrate on a variety of basic, underlying concepts, such as variables, long division, fractions and exponents, and are geared towards meeting both state and national government standards. Students playing the modules only advance at their own rate, as they must master each module before moving on.
The courseware pack is now on sale, shipping in a hybrid PowerPC/Windows format. Licenses are sold on a perpetual or subscription basis, the latter costing $89 per student, or $120 per sequential user, including training and support. Owners of of a license can track student status reports online | 677.169 | 1 |
Algebra Readiness is designed for students in grades 6 and higher in need of math intervention and takes a game-based, visual approach to instruction. MIND, a non-profit company, described it this way:
"Students all begin with mastering basic arithmetic and mathematical properties on the number line, and finish with basic linear algebra concepts and word-problem-solving skills. As they progress through the text and weekly instructional software, right from the start they achieve success, build confidence, and grasp mathematical concepts in a deep and meaningful way. The program follows a uniquely sequenced instructional design, as outlined in the textbook, and seamlessly integrates this with tightly integrated visual software that's presented using a game metaphor. Both components, text and software, were designed from scratch to cover the same concepts, in the same order, using the same visuals and language, so they build off one another and reinforce key concepts.
The full-year Algebra Readiness course includes software, teacher instructional materials, and both student and teacher textbooks.
Algebra Readiness is available now with support for Mac OS X and Windows systems | 677.169 | 1 |
Complex numbers
Free Course
You may have met complex numbers before, but not had experience in manipulating them. This freeAfter studying this course, you should be able to:
perform basic algebraic manipulation with complex numbers
understand the geometric interpretation of complex numbers
know methods of finding the nth roots of complex numbers and the solutions of simple polynomial equationsComplex numbers
Introduction
You may have met complex numbers before, but not had experience in manipulating them. ThisThis OpenLearn course provides a sample of Level 3 study in Mathematics [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)] 28th June 2011
Last updated on: Tuesday, 15 | 677.169 | 1 |
Without being able to read Finnish, it looks like what they wrote might be equivalent to source code for slides to use in lecture, or bare bones Wikipedia entries on high school math topics. Obviously not a complete text book, and I'm pretty sure it's the easiest part. Example problems work through in detail, practice problems throughout the chapter, and a collection of practice problems with answers available and others with a teacher's key… these are most of what most students will use in a math text. And they have to be chosen carefully to be representative and of appropriate difficulty, carefully laid out, and painstakingly proof read or they'll be worse than useless.
Having worked for a small educational publisher I agree — a textbook is more than a couple lines explaining a concept. It takes thousands of hours per grade to create complete worked examples (having full step by step solutions that explain the problem solving process), mathML equations, graphics including charts/graphs/diagrams and practice questions — lots and lots of practice questions will full solutions so students can practice what they are learning.
Then it takes a tremendous amount of time, particularly in mathematics, to edit the whole book. Every mathML equation and every question needs to be examined and the questions solved independently of the solution to ensure they are accurate.
Then, finally if you are publishing in XML you need to have a technical person go through the document to ensure that it is valid, well-formed and will render properly.
One math concept would take, on average 0.5 days of effort for a team of 5 people (2 writers, 1 graphic artist, 1 editor and 1 technical XML person). An average math course in the US is 1/5th of 180 days of instruction which equals about 216 instructional hours. A math textbook will have about 100 concepts to present in those 216 hours which means it will take 5 people 50 days (almost 3 months) to write a single text book.
A handful of teachers cannot possibly write a high quality, curriculum aligned and comprehensive resource in a weekend. It just is not possible.
When I was in college, it was widely told that our calculus professor had written the textbook in two weeks, on a bet. And it might as well have been in finnish. So this one will be better if only on price. | 677.169 | 1 |
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Learn Multimedia Algebra in Win95
08/01/96
Algebra in Simplest Terms is a 24-lesson CD-ROM series that reviews fundamental and teaches advanced algebra concepts, using an electronic textbook format. Based on the successful PBS College Algebra series produced by COMAP's Sol Garfunkel, Ph.D., the course combines professionally produced video and text narration with an online dictionary and graphing calculator, management system, placement tests and more. More than 2,000 instructional screens as well as 2,200 tests and exercise questions are integrated. The program starts with a lesson on the Language of Algebra and concludes with a Probabilities lesson. It also provides feedback for questions and exercises, reinforcing key concepts. Liafail, Inc., Minneapolis, MN, (612) 925-3727.W
This article originally appeared in the 08 | 677.169 | 1 |
Mathematics for Plumbers and PipefittersNow in its 8th edition, MATHEMATICS FOR PLUMBERS AND PIPEFITTERS delivers the essential math skills necessary in the plumbing and pipefitting professions. Starting with a thorough math review to ensure a solid foundation, the book progresses into specific on-the-job applications, such as pipe length calculations, sheet metal work, and the builder's level.Broad-based subjects like physics, volume, pressures, and capacities round out your knowledge, while a new chapter on the business of plumbing invites you to consider an exciting entrepreneurial venture. Written by a Master Plumber and experienced vocational educator, MATHEMATICS FOR PLUMBERS AND PIPEFITTERS, 8th Edition includes a multitude of real-world examples, reference tables, and formulas to help you build a rewarding career in the plumbing and pipefitting trade. | 677.169 | 1 |
algebra Module 1 Section 1: Order Relations of Whole Numbers to your Bookmark Collection or Course ePortfolio
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This lesson received an honorable mention for the 2011 SoftChalk Lesson Challenge.'Differential equations show up in many...
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This lesson received an honorable mention for the 2011 SoftChalk Lesson Challenge.'Differential equations show up in many areas of science and technology. In fact, they turn up any time there is a relation involving some continuously varying quantities and ther rates of change. We have actually dealt with differntial equations before. A common modeling problem involving differential equations is the determination of the velocity of a ball falling which has an acceleration which is the acceleration due to gravity minus the acceleration due to air resistance. This is a differential equation because the derivative of the velocity of the ball depends on the velocity, thus finding the velocity as a function of time involves.' solving a differential equation.'In this section we willExamine the basic form of differential equationsVerify solutions to differential equationsDetermine slope fields for differential equationsFind solutions to differential equations numerically using Euler's methodFind solutions to differential equations using seperation of variables Differential Equations to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Introduction to Differential Equations
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This lesson received an honorable mention in the 2012 SoftChalk Lesson Challenge.'In this lesson we begin to examine what...
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This lesson received an honorable mention in the 2012 SoftChalk Lesson Challenge.'In this lesson we begin to examine what happens when we have a list of numbers, known as a sequence. We will determine when these lists of numbers, or sequences, have a pattern, when we can generalize that pattern to find any term and what it looks like if we sum up the numbers in the sequence. Let's start off with a few definitions and some terminology and from there we will see how we can determine their behavior to your Bookmark Collection or Course ePortfolio
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This lesson was the second place winner in the 2012 SoftChalk Lesson Challenge.The lesson has the following objectives:...
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This lesson was the second place winner in the 2012 SoftChalk Lesson Challenge.The lesson has the following objectives: AState the integer that corresponds to a real-world situation.BGraph rational numbers on the number line.CConvert from fraction notation for a rational number to decimal notation.DDetermine which of two real numbers is greater and indicate which, using < or >.EFind the absolute value of a real number.FIdentify numbers that are members of the Real Number System Real Numbers to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material The Real Numbers
Select this link to open drop down to add material The Real Numbers to your Bookmark Collection or Course ePortfolio
We have deveoped and provide access to an extensive, interactive self-review library covering 26 lecture modules in general...
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We have deveoped and provide access to an extensive, interactive self-review library covering 26 lecture modules in general astronomy to give students instruction tailored to their rate of learning and mathematical abilities, with personal feedback, as they integrate new knowledge into their existing view of the universe. Students typically complete 1,600 problems over a semester, drawing from an archive of over 12,000 questions presenting both conceptual and mathematically-focused challenges.A companion instructor analysis tool for reviewing student work archives copies of each exercise completed by every student, including the details of incorrect answers, and reveals trends with topic and time for individuals and groups. Instructors are able to monitor individual and group progress, tracking every facet of student action and the global response to individual topics of study.Individual accounts are available by request to both students and to intructors and their classes of students.
Pick a Bookmark Collection or Course ePortfolio to put this material in or scroll to the bottom Astronomy Online Tutor to your Bookmark Collection or Course ePortfolio
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Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material CMC-Developmental Math MAT055
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Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material DevEd Math Prep Tutorial 2
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Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material DevEd Math Prep Scores on ACCUPLACER
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Select this link to open drop down to add material DevEd Math Prep Tutorial 1 to your Bookmark Collection or Course ePortfolio | 677.169 | 1 |
Details about Combinatorics of Finite Geometries:
Combinatorics of Finite Geometries is an introductory text on the combinatorial theory of finite geometry. Assuming only a basic knowledge of set theory and analysis, it provides a thorough review of the topic and leads the student to results at the frontiers of research. This book begins with an elementary combinatorial approach to finite geometries based on finite sets of points and lines, and moves into the classical work on affine and projective planes. Later, it addresses polar spaces, partial geometries, and generalized quadrangles. The revised edition contains an entirely new chapter on blocking sets in linear spaces, which highlights some of the most important applications of blocking sets--from the initial game-theoretic setting to their very recent use in cryptography. Extensive exercises at the end of each chapter insure the usefulness of this book for senior undergraduate and beginning graduate students.
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Rent Combinatorics of Finite Geometries 2nd edition today, or search our site for other textbooks by Lynn Margaret Batten. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Cambridge University Press. | 677.169 | 1 |
0883856enuity in Mathematics (Anneli Lax New Mathematical Library)
The nineteen essays here illustrate many different aspects of mathematical thinking. The author is very well-known for his best-selling books of problems; in this volume he seeks to share his appreciation of the elegant and ingenious approaches used in thinking about even elementary mathematics. Standard high school courses in algebra and geometry furnish a sufficient basis for understanding each essay. Topics include number theory, geometry, combinatorics, logic and probability, and the methods used often involve an interaction between these disciplines. Some of the essays are easy to read, others more challenging; some of the exercises are routine, others lead the reader deeper into | 677.169 | 1 |
Product Description
Boost your students understanding of Saxon Math with DIVE's easy-to-understand lectures! Each lesson concept in Saxon Math's textbook is taught step-by-step on a digital whiteboard, averaging about 10-15 minutes in length; and because each lesson is stored separately, you can easily move about from lesson-to-lesson as well as maneuver within the lesson you're watching. Taught from a Christian worldview, Dr. David Shormann also provides a weekly syllabus to help students stay on track with the lessons. DIVE teaches the same concepts as Saxon, but does not use the problems given in the text; it cannot be used as a solutions guide.
Algebra 1/2 covers pre-algebra mathematics and skills, and includes review of fractions, decimals, percents and graphing. For use with 3rd Edition.
Our daughter took to the D.I.V.E teaching style quickly. We cover pre-algebra in half the time. She is retaining what she is learning and I am very pleased with the improvement in her note taking skills.
We received the cd-rom with book purchase and love it! It is so helpful to have him teach the lesson then have the text with full explanation and examples as well. I have switched from Math-U-See to Saxon this year and am very, very pleased | 677.169 | 1 |
Details about Introductory Algebraic Number Theory:
Suitable for senior undergraduates and beginning graduate students in mathematics, this book is an introduction to algebraic number theory at an elementary level. Prerequisites are kept to a minimum, and numerous examples illustrating the material occur throughout the text. References to suggested readings and to the biographies of mathematicians who have contributed to the development of algebraic number theory are provided at the end of each chapter. Other features include over 320 exercises, an extensive index, and helpful location guides to theorems in the text.
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Rent Introductory Algebraic Number Theory 1st edition today, or search our site for other textbooks by Kenneth S. Williams. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Cambridge University Press. | 677.169 | 1 |
Introduction to Mathematical Analysis
Our goal with this textbook is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.
The textbook contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many well-selected exercises of various levels. Although these topics are written in a more abstract way compared with those available in some textbooks, teachers can choose to simplify them depending on the background of the students. For instance, rather than introducing the topology of the real line to students, related topological concepts can be replaced by more familiar concepts such as open and closed intervals. Some other topics such as lower and upper semicontinuity, differentiation of convex functions, and generalized differentiation of non-differentiable convex functions can be used as optional mathematical projects. In this way, the lecture notes are suitable for teaching students of different backgrounds.Beatriz Lafferriere; Gerardo Lafferriere; Nguyen Mau NamMathematics2016-05-11T11:45:18.776426Course Related MaterialsVirtual Library
Virtual library containing links to books and periodicals in mathematics, computer science, artificial intelligence, information technology, cybersecurity, engineering, physics, chemistry, biophysics, bioinformatics, dentistry, medicine, etc.Joseph VaismanApplied ScienceArts and HumanitiesBusiness and CommunicationCareer and Technical EducationEducationEnglish Language ArtsHistoryLawLife ScienceMathematicsPhysical ScienceSocial Science2015-12-29T17:11:20.598715Course Related Materials | 677.169 | 1 |
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This text respects the traditional approaches to algebra pedagogy while enhancing it ...
This text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. In addition, textual notation is introduced as a means to communicate solutions electronically throughout the text. While it is important to obtain the skills to solve problems correctly, it is just as important to communicate those solutions with others effectively in the modern era of instant communications.While algebra is one of the most diversely applied subjects, students often find it to be one of the more difficult hurdles in their education. With this in mind, John wrote Elementary Algebra from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success. Elementary Algebra takes the best of the traditional, practice-driven algebra texts and combines it with modern amenities to influence learning, like online/inline video solutions, as well as, other media driven features that only a free online text can deliver.
The complete contents of this algebra textbook are available here online. This ...
The complete contents of this algebra textbook are available here online. This text is suitable for high-school Algebra I, preparing for the GED, a refresher for college students who need help preparing for college-level mathematics, or for anyone who wants to learn introductory algebra. I am especially pleased to help homeschoolers. Includes a graphing applet, a prime factorization machine, and a prime number list. Brennan uses inserts to answer common questions as the lesson goes on, helping the student master new ideas. A printable version is also available on the website. This resource is part of the Teaching Quantitative Skills in the Geosciences collection.
Elementary Algebra is a work text that covers the traditional topics studied ...
Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.
Open text, part of Lyryx Service Course Solutions (LSCS) offering a complete ...
Open text, part of Lyryx Service Course Solutions (LSCS) offering a complete & customized content and support service adapted to your introductory service courses. LSCS includes an open text, formative online assessment, course supplements, and support to both the students and instructors. This course is an introduction to linear algebra.
The emphasis in this course is on problems—doing calculations and story problems. To master problem solving one needs a tremendous amount of practice doing problems. The more problems you do the better you will be at doing them, as patterns will start to emerge in both the problems and in successful approaches to them. You will learn quickly and effectively if you devote some time to doing problems every day.
This course discusses how to use algebra for a variety of everyday ...
This course discusses how to use algebra for a variety of everyday tasks, such as calculate change without specifying how much money is to be spent on a purchase, analyzing relationships by graphing, and describing real-world situations in business, accounting, and science.
Task Description: This task asks students to recognize geometric patterns, visualize and ...
Task Description: This task asks students to recognize geometric patterns, visualize and extend the pattern, generate a non-linear sequence, develop and algebraic generalization that models the growth of a quadratic function and verify the inverse relationship of the quadratic relationship. The Aussie Fir Tree task is a culminating task for a 2-3 week unit on algebra that uses the investigation of growing patterns as a vehicle to teach students to visualize, identify and describe real world mathematical relationships. Students who demonstrate mastery of the unit are able to solve the Aussie Fir Tree task in one class period.
This course covers topics including whole numbers, the integers, fundamental algebraic operations, fractions, decimals, ratios and percents, and an introduction to graphing in the Cartesian coordinate plane.
In this video, we explore some concepts fundamental to algebra. To streamline ...
In this video, we explore some concepts fundamental to algebra. To streamline the discussion of relationships between physical quantities, we introduce variables, functions, composition, and inverse. By thinking about the concept of an inverse function, we obtain our first glimpse of the imaginary root (i.e. square-root of -1) and the complex plane.
Students play a generalized version of connect four, gaining the chance to ...
Students play a generalized version of connect four, gaining the chance to place a piece on the board by solving an algebraic equation. Parameters: Level of difficulty of equations to solve and type of problem. Algebra Four is one of the Interactivate assessment games.
InterMath is a professional development effort designed to support teachers in becoming ...
InterMath is a professional development effort designed to support teachers in becoming better mathematics educators. It focuses on building teachers' mathematical content knowledge through mathematical investigations that are supported by technology. InterMath includes a workshop component and materials to support instructors. For each of the following problems, consider how you would pose the same problem to your students. Would the wording need to change? Would you need to include more pictures? More detailed pictures? But remember we don't want to do TOO MUCH for the student. If we provide too much information, they will not need to think about what the question is asking.
This course is a continuation of MA001: Beginning Algebra, and will focus ...
This course is a continuation of MA001: Beginning Algebra, and will focus on compound inequalities, systems of linear equations, radicals, rational exponents, quadratic equations and techniques used to solve these equations, and finally, general functions and graphs with an emphasis on the exponential and logarithmic functions.
College Algebra is an introductory text for a college algebra survey course. ...
College Algebra is an introductory text for a college algebra survey course. The material is presented at a level intended to prepare students for Calculus while also giving them relevant mathematical skills that can be used in other classes. The authors describe their approach as "Functions First," believing introducing functions first will help students understand new concepts more completely. Each section includes homework exercises, and the answers to most computational questions are included in the text (discussion questions are open-ended).
When I started teaching this subject I found three kinds of texts. ...
When I started teaching this subject I found three kinds of texts. There were applications books that avoid proofs and cover the linear algebra only as needed for their applications. There were advanced books that assume that students can understand their elegant proofs and know how to answer the homework questions having seen only one or two examples. And, there were books that spend a good part of the semester multiplying matrices and computing determinants and then suddenly change level to working with definitions and proofs. In my classroom each of these types was a problem. The applications were interesting but I wanted to focus on the linear algebra. The advanced books were beautiful but my students were not ready for them. And the level-switching books resulted in a lot of grief: students estimated that these were like calculus books, where there is material labeled `proof' that can skipped in favor of computations, and when the level switched no amount of prompting by me could convince them otherwise. That is, my students cannot now perform at the level assumed by the advanced books. But my goal is to work steadily to have them come up to that level over the undergraduate program. This course is a great place to make progress on this goal. This goal leads straight to a number of tasks. It means first that we must prove things. It means also that we must step away from the rote computations of the applications books in favor of understanding the concepts (for instance, students must understand matrix-vector multiplication as representing the application of a linear function). But, it means also being sure that the approach is not too advanced for the current level of the students: the presentation must emphasize motivation and naturalness, have many examples, and have many exercises, particularly the medium-difficult questions that challenge a learner without overwhelming them.
This course is also intended to provide the student with a strong foundation for intermediate algebra and beyond. Upon successful completion of this course, you will be able to: simplify and solve linear equations and expressions including problems with absolute values and applications; solve linear inequalities; find equations of lines; and solve application problems; add, subtract, multiply, and divide various types of polynomials; factor polynomials, and simplify square roots; evaluate, simplify, multiply, divide, add, and subtract rational expressions, and solve basic applications of rational expressions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 001) | 677.169 | 1 |
A TS Calc document contains a series of equations and a list of variables and constants used by the equations. When the document is set up, the user can insert the input value and see the output generated by the TS Calc document using the equations to solve the problem.
TS Calc requires Mac OS X 10.8 or higher. It costs US$ | 677.169 | 1 |
mathscard a-level
Developed by Loughborough University, the mathscard app contains hundreds of examples of pure maths formulae and graphs/diagrams. Designed specifically for AS and A2 Level maths, the mathscard app is based on the hugely successful award-winning mathscard fold-out formulae sheet and is designed to help students with their exam revision when at home or on the move. Vectors, numerical methods, circle and coordinate geometry, sequences and series, algebra and graphs, trigonometry and calculus are all covered in this handy resource.
mathscard a-level's review
Study with the help of this app and start understanding everything about maths
7
Useful
Easy to use
Great design
Doesn't move to SD
"Want to pass that math exam?"
Mathscard a-level is an Android application created by Loughborough University that includes many examples of math formulas and graphs that will help students study and review for their exams.
This is appropriate for AS and A2 math level and for using it you just need to tap on the subject you want to read about and navigate through the content (Vectors, Numerical methods, Circle & Coordinate geometry and some more). In addition, there's also an index with all the contents included in the app in case you want to look through it and decide depending on your mood.
This tool is very useful for students and people who enjoy maths and want to review their knowledge. The design is great, the interface is clean and easy to use and there are no bugs, apparently. If you were looking for a tool that helped you study maths, this will be the perfect | 677.169 | 1 |
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Microsoft Releases Math 4.0 Free
Microsoft has released a new version of its math education software Mathematics 4.0, making it available as a free download for the first time.
By Dian Schaffhauser
03/10/11
Microsoft said the new version of its math program has been downloaded 250,000 times since its quiet January 2011 release.
Microsoft Mathematics 4.0, designed for students in middle school, high school, and early college, is intended to teach users how to solve equations while bolstering their understanding of fundamental math and science concepts. Although the company charged for its last version, this latest edition is free.
The new program works on computers running Windows XP, Vista, and 7, as well as Windows Server 2003 and 2008. The software includes a graphing calculator capable of plotting in 2D and 3D, a formulas and equations library, a triangle solver, a unit conversion tool, and ink handwriting support for tablet or ultra-mobile PC use. One new feature enables a user to create a custom movie where a 3D graphed image shifts among multiple shapes as variables change.
An 18-page step-by-step guide provides basic documentation to use the program's functions.
Microsoft Mathematics 4.0 is available now. Further information can be found here. | 677.169 | 1 |
How much does a Instructor - Mathematics make? The median annual Instructor - Mathematics salary is $45,426, as of April 26, 2016, with a range usually between $36,316-$65,448 Instructor - Mathematics in the United States.
This chart describes the expected percentage of people who perform the job of Instructor - Mathematics in the United States that make less than that annual salary. For example the median expected annual pay for a typical Instructor - Mathematics in the United States is $45,426, so 50% of the people who perform the job of Instructor - Mathematics in the United States are expected to make less than $45,426.
This chart describes the expected percentage of people who perform the job of Instructor - Mathematics that make less than that salary. For example 50% of the people who perform the job of Instructor - Mathematics are expected to make less than the median.
Source: HR Reported data as of May 2016
Conducts college-level courses in the fields of mathematics and statistics. Areas of instruction include mathematical concepts, techniques, and applications. Responsible for preparing and delivering lectures, leading and moderating classroom discussions, and administering and grading examinations. Requires a bachelor's/master May lead and direct the work of others. A certain degree of creativity and latitude is expected. Typically reports to a department head. View full job description | 677.169 | 1 |
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Purpose
The purpose of
this website is to provide teachers and students guidance in the use
of Texas Instruments TI-83 plus graphing calculators and data collection
devices in secondary mathematics.
This section
contains a Flash animation about entering data, graphing data, and
creating a mathematical model of data. The calculator
used in the animation is the TI-83 plus. All instructions will work
on the TI-82 and the TI-83. If the animation does not play click here
to download the free flash player.
This section
contains information about the use of the CBR (calculator based ranger)
a motion sensor data collection device produced by Texas Instruments.
The calculator used in the demonstration is the TI-82. All instructions
will work on the TI-83 and the TI-83 plus.
This section
contains information about the installation and use of the Graphlink
computer - calculator interface on a PC. This technology allows the
upload and download of data between a computer and the graphing calculator.
The calculator used in the demonstration is the TI-82. All instructions
will work on the TI-83 and the TI-83plus.
This section
contains information about the use of the CBL (calculator based laboratory)
a multipurpose data collection interface. Temperature, light, voltage,
motion, and many other types of data can be collected using this tool.
The calculator used in the demonstration is the TI-82. All instructions
will work on the TI-83 and the TI-83 plus. | 677.169 | 1 |
Math Concepts
Measure of DataIn this unit, students will analyze descriptive statistics including mean, median, mode, and variability interquartile range (IQR) and analyze the effects of changes in original data to all measures of ...
Posted Nov 5, 2010, 1:00 PM by Kristi Frost
Equations and Data RepresentationsStudents will solve linear equations with concrete models and make connections between concrete models, abstract and symbolic representations. Students will also use tables, graphs, equations, and written descriptions to connect ...
Posted Nov 3, 2010, 8:39 AM by Kristi Frost
SequencesStudents will explore, extend and generalize an algebraic relationship at any point in the sequence (with a constant rate of change) of a pattern.
Posted Oct 19, 2010, 7:54 AM by Kristi Frost | 677.169 | 1 |
This monograph is a translation by Anna Pierrehumbert of the original 1999 French work by Jacques Sesiano. In the author's words, its goal is not to be an exhaustive survey of the history of algebra, but "merely to present some significant steps in solving equations and, wherever applicable, to link these developments to the extension of the number system." The author and his translator succeed admirably in accomplishing this goal. In a mere 140 pages (there are 30 pages of original texts in Mesopotamian (translated), Greek, Latin, Arabic, Hebrew, French, German, and Provencal as appendices), Sesiano and Pierrehumbert give a very enjoyable overview of the development of algebra and number systems.
Sesiano begins with linear and quadratic equations solved in Mesopotamia and the difficulties introduced by the lack of a proper symbol for zero and the need to know 1711 products to carry out multiplication in a base-60 system with 59 non-zero digits. A distinctive aspect of this monograph is its use of actual problems and solutions found in historical documents to illustrate the development of algebra. The author annotates these examples, often rephrasing the steps in more convenient modern notation, and indicates the underlying goals and motivation of the original solvers. He carefully notes the difference between their methods and the methods we would use today.
In successive chapters, Sesiano details algebra's development. In Chapter 2, he discusses the different types of algebra in ancient Greece, and the use of an unknown variable. In Chapter 3, the development of algebra in the Islamic world, and their approach to geometrically solving linear, quadratic, and cubic equations is covered. In Chapter 4, Sesiano vividly describes the state of algebra in Medieval Europe at the beginning of the twelfth century, the reintroduction of the mathematics of antiquity, and the introduction of Arabian mathematics. Fibonacci and his Liber abaci play the central role. The gradual acceptance of negative numbers and the beginning of algebraic attempts to solve the cubic equation conclude the chaper. In the final fifth chapter, Sesiano covers algebra in the Renaissance. The birth of algebraic symbolism, and the subsequent general solution of the cubic and quartic equations by dal Ferro, Tartaglia, and Cardano in the early sixteenth century are described in depth. The introduction and gradual acceptance of complex numbers is discussed. The chapter concludes with a brief discussion of how algebra developed after the Renaissance and the work leading to the proof of the insolvability of the quintic by Abel and Galois in the early nineteenth century.
Both Sesiano and Pierrehumbert deserve credit for creating a book that is a pleasure to read. It is written in a lively style that draws the reader in. While the book is not a comprehensive history, it provides a good overview of the highlights in the development of algebra and will whet the appetite of many readers to learn more. It is written at a level appropriate for use by undergraduate students at all levels and would be profitably used in a history of mathematics course or as supplement in an algebra course.
Tom Hagedorn is Associate Professor of Mathematics at The College of New Jersey. | 677.169 | 1 |
Programming for every student.
Teaching Computer Science and Algebra.
What if a math class taught rigorous computer programming, using the concepts and content that are already in the book?
Bootstrap integrates math and computing education to enable equitable access to and success in both subjects for all students in grades 6-12. We design our curricula, pedagogy, and software in tandem to foster learning at depth and to ease adoption. Our high-quality professional development programs and classroom materials reflect our core belief in the value of teachers.
We work with schools, districts and tech-educational programs across the country, reaching hundreds of teachers and thousands of students each year. Bootstrap has been integrated into math and technology classes across the country, reaching tens of thousands of students since 2006. Most teachers have also attended a Bootstrap Workshop, where they received specialized training to deliver the class.
By working with mainstream math and computing teachers and aligning to national and state standards, Bootstrap is built to scale. Bootstrap has partnered with school, districts and organizations across the country to bring the curriculum to their students. And because every child takes math - no matter their gender, class, age or interest - Bootstrap reaches thousands of girls and underrepresented students each year.
For Math Teachers
Unlike most programming classes, Bootstrap uses algebra as the vehicle for creating images and animations, and is designed from the ground up to be aligned with National and State standards for algebra. Bootstrap also builds in a pedagogical approach to solving Word Problems called the Design Recipe. Students solve word problems to make a rocket fly (linear equations), respond to keypresses (piecewise functions) or explode when it hits a meteor (distance formula). In fact, this same technique has been successfully used at the university level for decades.
Bootstrap is backed by decades of research into math and computer science education, and some studies have shown a positive impact on students' performance on standard, pencil-and-paper algebra tasks.
For CS Teachers
Knowing how to write code is good, but it doesn't make you a programmer. In addition to learning a full-strength programming language, Bootstrap teaches solid program design skills, such as stating input and types, writing test cases, and explaining code to others. After Bootstrap, these skills can be put to use in other programming languages, letting students build on what they've learned.
Bootstrap embraces the "low floor, no ceiling" approach to learning, by introducing students to a simple but powerful language and approach to programming. Students can build on what they already know as they move on to data structures, recursion, and numerous topics in computer science - without throwing away their tool or language.
For Parents
Before algebra, your child's math homework was all about computing an answer, by adding, subtracting, solving, etc. Once Algebra introduces functions, everything changes. Now they are asked whether a function is linear, how many roots it has, etc. Algebra isn't just harder — it's completely different.
Unlike Java, Python, Scratch or Javascript, functions and variables behave exactly the same way in Bootstrap that they do in your child's math book (learn more about the algebra-programming connection by watching our video, co-produced with Code.org). By shifting classwork from abstract pencil-and-paper problems to a series of relevant programming problems using an appropriate language, Bootstrap demonstrates how algebra applies in the real world, using an exciting, hands-on project. | 677.169 | 1 |
97800722948Student SMART CD-Rom Windows for use with Intermediate Algebra
Provides a self-paced, text-specific tutorial to help student review concepts and also provides unlimited problem-solving practice. Contains video clips on the CD-ROM to illustrate concepts and reinforce real-world applications. Each chapter on the SMART CD-ROM features a pre-test, overview, tutorial, and practice problems for each section, as well as a post-test. The pre-test questions and practice problems are algorithmically generated so that each student will have different questions. The tutorial in each chapter beings with an introduction to that respective section. Included in the tutorial are key concepts, review, and check yourself sections. The review section of the tutorial goes through a step-by-step review of the lesson goals | 677.169 | 1 |
This eBook introduces the subject of measures and measurement, and looks at both metric and imperial units of measurement, the process and accuracy of reading scales, limits on the accuracy of measurements and compound measurements.
This eBook comprehensively introduces the reader to our Grades 3, 4 & 5 math eBook publications. It encompasses a curriculum overview, a list of publications and a set of overviews for each modular math eBook, each principle publication eBook as well as individual Grade 3, 4 & 5 eBooks.
This eBook introduces the subjects of shape, space and measure, 2D and 3D shapes, the concept of symmetry, angles, parallel and perpendicular lines, space, with position located with co-ordinate systems, movement (by translation, reflection and rotation), as well as measurement of lengths, mass (weight) and volume, as well as time, using digital as well as analogue clocks.
This eBook comprehensively introduces the reader to our Grades 1 & 2 maths eBook publications. It encompasses a curriculum overview, a list of publications and a set of overviews for each modular maths eBook, each principle publication eBook as well as individual Grades 1 & 2 eBooks. | 677.169 | 1 |
97805344370eling, Functions, and Graphs: Algebra for College Students (with CD-ROM, Workbook, and InfoTrac)
Popular with and respected by students interested in a Modeling Approach, Graphing, or Graphing Calculators, this book incorporates the benefits of technology and the philosophy of the reform movement into intermediate algebra. In keeping with the NCTM and AMATYC standards, the authors introduce the techniques of algebra in the context of simple applications. Early and consistent emphasis on functions and graphing helps to develop mathematical models, and graphing calculators are incorporated wherever | 677.169 | 1 |
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Mathematics Enhancement Programme Activity Notes Codes and Ciphers 1 Introduction T: In this first lesson weu0027ll look at the principles of the Lorenz cipher; in the ...
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1 Appendix IV Preliminary Curriculum Framework of Different Key Learning Areas and Liberal Studies for the New Senior Secondary Curriculum During the period for the ...
Fortran90 Course, Examples A1 1) Using your favouriteeditor, write a program which prints out your name. 2) The following program contains an umber of errors.
RECOGNITION LIST IVQs in Retailing (1121/8121) City u0026 Guilds is one of the worldu0027s leading vocational education businesses, with over 130 years of experience in ... | 677.169 | 1 |
UNDER
CONSTRUCTION
The introductory physics sequence poses several major
difficulties for the beginning student. First and foremost is the
development of a set of physical concepts which are used by physicist to
study the physical universe. But a second major difficulty is the
application of mathematics to the study of physical phenomenon.
Mathematical Prerequisites
We expect students to enter our classroom with an
already impressive array of mathematical tools available to them. The
following is a sample list of the expected mathematical competence of
students entering a first semester physics course with a calculus
co-requisite.
Be able to manipulate formulae to solve for any
of the quantities within the formulae.
Be able to solve polynomials by factoring and
using the quadratic equation.
Be able to solve systems of equations using
substitution and simultaneous equations.
Be able to use and interpret fractional
exponents, powers of 10, scientific notation.
Interpret and convert rectangular and polar
coordinates Interpret and convert angles in degrees or in radians.
Be able to solve various trig identities
including law of sine and cosine.
Be able to perform vector operations in
graphical and component forms.
Be able to add and subtract vectors and to
interpret and use dot and cross products.
Be able to analyze and set up word
problems.
If you would like to test your understanding of these topics I have
placed a few quizzes in PDF format on a Quiz Page.
But if you find that you are rusty on some of these topics how do you
go about reviewing the material?
First try and determine what you need to work on. Take the quizzes on
the Quiz Page, look at the problems in class, ask
your instructor, etc. Then look at the resources available to you.
There are usually a number of good review books in the
library and your old textbooks are likely to be useful. Or you can go shopping for a
review book. Find one that has a short review of the material and also has
many worked examples. Read the explanations and see if they are at the
level that works for you. Make sure that the book has many examples with
which to practice. There are a number of books available in the $10-$15
range.
Review books are not designed to learn brand new material. If you find
that you have serious gaps in your understanding of mathematics, talk to
your instructor about addressing this challenge. A math textbook may be
your best bet or even a preparatory course. The investment, if necessary,
will be worth the time and effort. | 677.169 | 1 |
0072355794calculus
The Barnett, Ziegler, Byleen, and Sobecki's "College Algebra" series is designed to be user friendly and to maximize student comprehension by emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. Suitable for either one or two semester college algebra with trigonometry or precalculus courses, "Precalculus" introduces a unit circle approach to trigonometry and includes a chapter on limits to provide students with a solid foundation for calculus concepts. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. There is a MathZone site featuring algorithmic exercises, videos, and other resources that accompanies | 677.169 | 1 |
Pre-Algebra Essentials For Dummies/i>/i>
Overview explanations of critical concepts taught in a typical pre-algebra course, from fractions, decimals, and percents to scientific notation and simple variable equations. This guide is also a perfect reference for parents who need to review critical pre-algebra concepts as they help students with homework assignments, as well as for adult learners headed back into the classroom who just need to a refresher of the core concepts.
The Essentials For Dummies Series Dummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.
Customer Reviews
Most Helpful Customer Reviews
Pre-Algebra Essentials For Dummies 3.4 out of 5based on
0 ratings.
14 reviews.
Anonymous
More than 1 year ago
I found it easy to use. I needed a book that would break down in terms I could understand. I found this one to be exactly what I wanted.
Figglebottom
More than 1 year ago
There are two problems with this book: (1) The order of the presentation is unusual, but the clarity of the presentation helps to make up for that. (2) The book has NO PROBLEMS! I've never seen a book explain math concepts without offering some problems for the reader to test his / her new skills. This means that I have to go find another book that provides problems for me to evaluate whether the skills in this book have actually been learned.
On the plus side, this book is concise yet clear. I know some complain that it starts at the level of basic arithmetic and its notation, but some students taking algebra need such a refresher before jumping into the meatier topics.
THREE STARS for being a clearly written book but not a complete learning experience for algebra.
watch444
More than 1 year ago
got this book to help me understand pre-algebra in order to help my grandson with his homework. very helpful. made sense. very glad I purchased this book.
Anonymous
More than 1 year ago
Thank you mark zegrelli
Anonymous
More than 1 year ago
I new the material displayed in the book in fourth grade meant 12
Anonymous
More than 1 year ago
When you get the sample all it teahes you is how to subtract multiply add and divide basicaly the stuff you learn in 1st grade
Anonymous
More than 1 year ago
If you get the sample it tells you how to add subtract multiply and divide!LAME! | 677.169 | 1 |
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ITEM#: 14049529 Angel author team meets the needs of today's learners by pairing concise explanations with the new Understanding Algebra feature and an updated approach to examples. Discussions throughout the text have been thoroughly revised for brevity and accessibility. Whenever possible, a visual example or diagram is used to explain concepts and procedures. Understanding Algebra call-outs highlight key points throughout the text, allowing readers to identify important points at a glance. The updated examples use color to highlight the variables and important notation to clearly illustrate the solution process.
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Preview — Introducing Einstein's Relativity
by Ray d'Inverno
Introducing Einstein's Relativity
rel relativity. The aim of this textbook is to provide students with a sound mathematical introduction coupled to an understanding of the physical insights needed to explore the subject. The book follows Einstein in that it introduces the basic field equations by discussing the relativistic theory of gravitation from a physics point of view, and the structure on the resulting equations is discussed carefully before going on to their solution in simple settings. The book is designed with two objectives: to familiarize students with the basic ideas and equations of the theory, and to cover three main topics: black holes, gravitational waves, and cosmology. Throughout, the author has included numerous exercises (of varying degrees of difficulty) to illustrate and extend the ideas covered. As a result, this book will make an excellent first course for any student coming to the subject for the first time. ...more
this book is ok but schutz's book is better. it does a pretty bad job of introducing tensors, i think. some of the exercises are good but there are too many that are very routine. i only read the first 150 or 200 pages though, so i guess keep that in mind.
A bit outdated on the final chapters about Cosmology, but other than that found it a great introduction to tensorial calculus and general relativity. It does tend to give up on the exercises a bit toward the later chapters and just makes you do all the calculations that were skipped in the text. | 677.169 | 1 |
Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.
Summer Solutions Math is a series of Math Review Books, in which students complete mixed review problems over 10 weeks during the summer. This series was written by teachers who designed each lesson to address the loss of learning that naturally happens over each summer break. Each book in the series focuses on standardized, grade appropriate skills. Every student gains valuable confidence as well as maintaining mastery of previously learned material.
Reviewed skills in Level 7 include:
- Functions
- Equations with Absolute Value
- Solving Inequalities
- Finding Slope
- Writing the Equation of a Line
- Matrices
- Percent of Increase/Decrease
- Integers
- Order of Operations
- Distributive Property
- Graphing on a Coordinate Plane
- GCF/LCM
- Simplifying Algebraic Expressions
- Word Problems
Top Customer Reviews
keep your kids up to date through their summer break by getting a series of these workbooks for them to do every week while their on break. They are well written intuitive and for us oldies but goodies, that have forgotten half what we learned 20 years ago, they come with answer sheets. i think my kids did 3 pages a week in math, language arts, and another one i cant remember. takes them maybe 3 hours a week for all the workbooks, but boy when they go back to school they are ready. the stress of starting a new grade is reduced and there grades are tops on their report cards. I dream of the day they will thank me for this but i am not holding my breath.
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I am so happy I found this product! This workbook (and all of the others available) is so helpful for tutors like myself, or parents, who are looking for a structured review program to keep kids on task over the summer. It is compact, inexpensive, comprehensive and right on target. Big fan! | 677.169 | 1 |
Course Description: This course covers topics from algebra and trigonometry at a level and emphasis appropriate for applied technology majors who will continue on with at least one semester of applied calculus. Topics are chosen from the following: functions and their graphs, angles and triangles, systems of linear equations with determinants, trigonometric functions, equations and identities, exponential and logarithmic functions, and a general treatment of conic sections.
General Education Goals: MTH 113 is affirmed in the following General Education Foundation Category: Quantitative Knowledge and Skills. The corresponding General Education Goal is as follows: Students will use appropriate mathematical and statistical concepts and operations to interpret data and to solve problems.
Course Goals: Upon successful completion of this course, students should be able to do the following:
demonstrate knowledge of the fundamental concepts and theories from algebra, geometry and pre-calculus;
utilize various algebra and pre-calculus, problem-solving and critical-thinking techniques to set up and solve applied problems in geometry, sciences, and other fields;
communicate accurate mathematical terminology and notation in written and/or oral form in order to explain strategies to solve problems as well as to interpret found solutions; and
use calculators effectively as a tool to solve such problems as those described above. | 677.169 | 1 |
We look for good problem solving and strong mathematical communication when reading submissions to our Problems of the Week. Your solution should include enough information to help another student understand the steps that you took and the decisions that you made in solving the problem.
Submissions are scored using the following categories:
Problem Solving
Interpretation: interpret the problem correctly and attempt to solve all of the parts.
Strategy: pick a good strategy and apply it well - achieve success through skill instead of luck.
Accuracy: get the calculations and details correct, including writing correct statements and equations.
Communication
Completeness: explain all the steps taken to solve the problem.
Clarity: explain the steps in such a way that a fellow student would understand, and make an effort to check formatting, vocabulary, and spelling.
Reflection: check the answer, reflect on its reasonableness, summarize the process, and connect it to prior knowledge and experience. | 677.169 | 1 |
This book shows how to solve physical problems and deal with their
underlying physical concepts while using Mathematica to derive
numeric and
symbolic solutions. The second edition adds new examples and reworks the
representation for a more interactive problem-solving presentation. | 677.169 | 1 |
Pckt Linear Algebra Tutor Free
This is the free version - the "paid" version does not contain ads, has a few cosmetic changes and supports more devices (mainly large format).
Are you frustrated with not fully understanding topics in linear algebra class? Do you just want to understand what inverting a matrix does in 3D development? Pocket Linear Algebra Tutor (PLAT) may be just the app you are looking for!
PLAT is an app that accepts 3x3 demo matrices and walks you through five topics step-by-step, with detailed explanations along the way. If you are just wondering what the "layman's" definition is of that fancy-sounding term is (Frobenius Norm, anyone?), PLAT also includes a list of key linear algebra terms and definitions.
Current topics are:
-Eigenvalues and Eigenvectors
-Linear Combination
-Lower-Upper Decomposition
-Matrix Inverse
-Gauss-Jordan Elimination to Reduced Row-Echelon Format | 677.169 | 1 |
Search Results (76) In F.LE Equal Differences over Equal Intervals 2, students prove the property in general (for equal intervals of any length).
This multimedia mathematics resource shows how math is used at the Calgary ...
This multimedia mathematics resource shows how math is used at the Calgary Zoo to calculate how much it costs to feed the animals. An interactive activity allows students to change variables in linear equations to create unique ways of obtaining the same solution. A print activity is provided.
In this task students observe using graphs and tables that a quantity ...
In this task students observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
In this task students have the opportunity to construct linear and exponential ...
In this task students have the opportunity to construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
Opening with a cartoon showing the weights of three combinations of fish, ...
Opening with a cartoon showing the weights of three combinations of fish, this activity challenges students to determine the weight of each fish. This activity is part of the Figure This! collection of challenges emphasizing real-world uses of mathematics. The introduction discusses algebraic reasoning and notes its importance to scientists, engineers, and psychologists. Students are encouraged to begin by adding the weights on all three scales. The answer page describes three strategies for solving the problem. Related questions invite students to use the strategies to solve similar problems. Answers to all questions and links to resources are included.
This lesson is designed for students to gather and analyze data about ...
This lesson is designed for students to gather and analyze data about baseball figures. The student will use the Internet or other resources to collect statistical data on the top five home run hitters for the current season as well as their career home run totals. The students will graph the data and determine if it is linear or non-linear.
This problem provides an opportunity to experiment with modeling real data. Populations ...
This problem provides an opportunity to experiment with modeling real data. Populations are often modeled with exponential functions and in this particular case we see that, over the last 200 years, the rate of population growth accelerated rapidly, reaching a peak a little after the middle of the 20th century and now it is slowing down.
Partial differential equations (PDEs) describe the relationships among the derivatives of an ...
Partial differential equations (PDEs) describe the relationships among the derivatives of an unknown function with respect to different independent variables, such as time and position. Experiment and observation provide information about the connections between rates of change of an important quantity, such as heat, with respect to different variables. Upon successful completion of this course, the student will be able to: State the heat, wave, Laplace, and Poisson equations and explain their physical origins; Define harmonic functions; State and justify the maximum principle for harmonic functions; State the mean value property for harmonic functions; Define linear operators and identify linear operations; Identify and classify linear PDEs; Identify homogeneous PDEs and evolution equations; Relate solving homogeneous linear PDEs to finding kernels of linear operators; Define boundary value problem and identify boundary conditions as periodic, Dirichlet, Neumann, or Robin (mixed); Explain physical significance of boundary conditions; Show uniqueness of solutions to the heat, wave, Laplace and Poisson equations with various boundary conditions; Define well-posedness; Define, characterize, and use inner products; Define the space of L2 functions, state its key properties, and identify L2 functions; Define orthogonality and orthonormal basis and show the orthogonality of certain trigonometric functions; Distinguish between pointwise, uniform, and L2 convergence and show convergence of Fourier series; Define Fourier series on [0,pi] and [0,L] and identify sufficient conditions for their convergence and uniqueness; Compute Fourier coefficients and construct Fourier series; Use the method of characteristics to solve linear and nonlinear first-order wave equations; Solve the one-dimensional wave equation using d'Alembert's formula; Use similarity methods to solve PDEs; Solve the heat, wave, Laplace, and Poisson equations using separation of variables and apply boundary conditions; Define the delta function and apply ideas from calculus and Fourier series to generalized functions; Derive Green's representation formula; Use Green's functions to solve the Poisson equation on the unit disk; Define the Fourier transform; Derive basic properties of the Fourier transform of a function, such as its relationship to the Fourier transform of the derivative; Show that the inverse Fourier transform of a product is a convolution; Compute Fourier transforms of functions; Use the Fourier transform to solve the heat and wave equations on unbounded domains. (Mathematics 222)
Linear Algebra is both rich in theory and full of interesting applications; ...
Linear Algebra is both rich in theory and full of interesting applications; in this course the student will try to balance both. This course includes a review of topics learned in Linear Algebra I. Upon successful completion of this course, the student will be able to: Solve systems of linear equations; Define the abstract notions of vector space and inner product space; State examples of vector spaces; Diagonalize a matrix; Formulate what a system of linear equations is in terms of matrices; Give an example of a space that has the Archimedian property; Use the Euclidean algorithm to find the greatest common divisor; Understand polar form and geometric interpretation of the complex numbers; Explain what the fundamental theorem of algebra states; Determine when two matrices are row equivalent; State the Fredholm alternative; Identify matrices that are in row reduced echelon form; Find a LU factorization for a given matrix; Find a PLU factorization for a given matrix; Find a QR factorization for a given matrix; Use the simplex algorithm; Compute eigenvalues and eigenvectors; State Shur's Theorem; Define normal matrices; Explain the composition and the inversion of permutations; Define and compute the determinant; Explain when eigenvalues exist for a given operator; Normal form of a nilpotent operator; Understand the idea of Jordan blocks, Jordan matrices, and the Jordan form of a matrix; Define quadratic forms; State the second derivative test; Define eigenvectors and eigenvalues; Define a vector space and state its properties; State the notions of linear span, linear independence, and the basis of a vector space; Understand the ideas of linear independence, spanning set, basis, and dimension; Define a linear transformation; State the properties of linear transformations; Define the characteristic polynomial of a matrix; Define a Markov matrix; State what it means to have the property of being a stochastic matrix; Define a normed vector space; Apply the Cauchy Schwarz inequality; State the Riesz representation theorem; State what it means for a nxn matrix to be diagonalizable; Define Hermitian operators; Define a Hilbert space; Prove the Cayley Hamilton theorem; Define the adjoint of an operator; Define normal operators; State the spectral theorem; Understand how to find the singular-value decomposition of an operator; Define the notion of length for abstract vectors in abstract vector spaces; Define orthogonal vectors; Define orthogonal and orthonormal subsets of R^n; Use the Gram-Schmidt process; Find the eigenvalues and the eigenvectors of a given matrix numerically; Provide an explicit description of the Power Method. (Mathematics 212) | 677.169 | 1 |
Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology.
Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software.
Features self-contained chapters with real biological research examples using freely available computational tools | 677.169 | 1 |
Algebra by Serge Lang(
Book
) 18
editions published
between
1946
and
1975
in
French and Undetermined
and held by
47 WorldCat member
libraries
worldwide
This book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for
mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For
the revised third edition, the author has added exercises and made numerous corrections to the text. Comments on Serge Lang's
Algebra: Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and
ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books.
April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P. Steele Prize for Mathematical Exposition
for his many mathematics books. The author has an impressive knack for presenting the important and interesting ideas of algebra
in just the "right" way, and he never gets bogged down in the dry formalism which pervades some parts of algebra. MathSciNet's
review of the first edition | 677.169 | 1 |
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Great! UFV has some second-year courses which will give you a taste of what lies beyond calculus. There's a field guide to what you might find interesting and useful below.
Field guide to second-year mathematics courses:
Math 211: Calculus III Calculus goes 3D! The central ideas of calculus are expanded to work with functions of more than one variable. This is a core course, and a gateway to many upper level courses. Get this right away. Read more here... Offered in Fall, each year.
Math 270 Introduction to Statistics Whether it's politics (opinion polling) industry (designing a quality test) science (extracting relationships from data) there are not many parts of the modern world that don't employ data and its analysis. What are the tools needed? Read more here...�
Math 221 Linear Algebra It's been said that you can never know too much calculus and you can never know too much linear algebra. A course full of brand Offered in Winter semester, every year.
Math 265Transition to Advanced Mathematics This is a course for those who enjoy mathematics, and want to learn more. It's not a course about calculation, it's about ideas. On the one hand, you'll learn tools to construct proofs and arguments, and on the other learn some amazing new things. (It turns out, for example, that one can make perfectly good mathematical sense of the idea of infinity, and that there's different levels of it! Infinitely many different levels...) It is here as well that you start to put in place some of the theory behind calculus. This course is essential for those wanting to go on to upper-level mathematics courses, and a degree requirement. Offered in Winter semester, every year.
Don't know what to choose? Try Math 211 and 270 in the Fall, and go from there. We'd be happy to talk to you: email us here.
Math may not be your first love, but whatever area of science or technology catches your fancy, mathematics and statistics will be there. Some things to think about as you plan:
Adding even a few extra math courses to your transcript can
signal to prospective employers that you have the ability to think analytically (ie you can work things out), abstractly (you can think beyond what you see in front of you) and logically.
help improve your performance in your other science courses
One of the most effective (and attractive) degree combinations is a major in a science (like biology, or computer science say) and a minor in mathematics. Having that minor can make you the "go-to" person in the workplace who has a good understanding of the issues underlying the data, who can read and interpret the literature, who can design the more efficient procedure, or just think more clearly and creatively about the issues at hand. More about making yourself marketable via a math minor.
You probably like math most when it's "applied", when it's clear how it can be used in the real world. Here are some applied courses that would be an excellent supplement to any degree you decide to do:
With only an introductory statistics course (like Math 270) there are several upper-level applied statistics courses you can take, like Math 315 (Applied Regression Analysis), 330 (Design of Experiments) or 350 (Survey Sampling). Why study Read more here
Second-year math courses can take you lots of useful places:
Math 211 (Calculus III) : A next step in calculus with many applications. The language and techniques used are are used in areas from business to biology. Read more here... Offered in the fall semester
Math 221 (Linear Algebra) or Math 152: The tools provided here (matrix methods) are essential computational devices applied everywhere from computer science to population biology. Math 152 is a more applied course, but Math 221 keeps more doors open at the upper levels. Read more here... Offered in Winter semesters
You'll need at least one statistics course (Math 106 or Math 270 are your current options) as well as Math 211. Since Math 211 builds on your first-year calculus, it's a good idea to get this sooner, rather than later when you may have gotten rusty!
Physics
There's a lot of math in your future, in courses from both departments. Course offering are sometimes limited in a small university like UFV. Getting your second year courses in place soon will increase your options in the following years. The Physics major degree requires Math 211. Taking Math 255 (ordinary differential equations) will prepare you well for Physics 381, another requirement.
Other programs
It's always a good idea to talk to an advisor. If you're wondering about a specific math course, be sure to ask.
I want a degree in Biology/Physics/Chemistry/CIS/Etc... What math courses would be useful/marketable?
Biology:
You're required to take a statistics course (Math 104 or 106 ) for the biology major, and with can't really avoid taking a fair bit of math in a physics degree. But did you know that by the time you've met the requirements for a major in Physics you'll almost have a minor in mathematics? A Physics major requires 30 upper level credits, but the BSc itself requires 46 upper-level credits. So taking those extra 16 credits in upper-level math (with the right second-year courses in place) will get you a math minor!
You'll need Math 211 for your Physics degree (it's a requirement). Beyond that Math 255 (Differential equations) will give you a basic background in one of the fundamental tools Physics uses to model the real world. It's a good preparation for Physics 381 as well, also a Physics degree requirement.
Modern Physics subjects like quantum mechanics and relativity use the language of linear algebra; that's Math 221.
You're required to take a statistics course, Math 106 or 270. For someone with a calculus background Math 270 would be the best choice. With'll need Math 125 for the CIS or Computer Science degrees. Get this soon if you don't already have it! With that in place you'll find the following second-year courses useful (with many more at the upper levels):
Math 225 Topics in Discrete Mathematics: This course introducess you to some of the most sueful types of combinatorial structures: graphs, trees, generating functions, and recurrence relations; all these play an important role in the mathematics of computers and computation.
Math 265 Transition to Advanced Mathematics: Here you learn the language of mathematics through careful statements of definitions and construction of proofs. Topics include strategies for writing proofs of theorems, and how to effectively communicate mathematics to others.
Math 221 Linear Algebra It's been said that you can never know too much calculus and you can never know too much linear algebra. A course full of brand
Make yourself valuable: Did you know that there a mathematics minor available within the CIS degree?Read more here.
Other areas
The sort of math or statistics courses useful to you varies a bit with what you decide to do. We can help you choose, or you might talk to an advisor from your "home" department.
I'm not crazy about theory, but I really like calculating things, and working with numbers...Have you thought about For Today's Graduate, Just One Word: Statistics
The job market for people with a statistics background (even just a minor) and some programming experience is quite good. Pharmaceutical companies in particular are looking for people with SAS (Statistical Analysis Software) programming skills.
You can build on you expertise in whatever field you study with UFV's brand-new Certificate in Data Analysis.
Here you can find a good description of what statistics is about, and possible careers.
Great! There are several math degrees available at UFV; you can find them listed here. That may seem like a long and confusing list: talking to a science�advisor can help you get things sorted out, and we have people in the math department who would be delighted to talk to you! Make an appointment here.
What should you take next year? The requirements of the various degrees vary a little, but certainly Math 211 (Calculus III) and Math 221 (Linear Algebra). Depending on your degree Math 265 (Transition to Advanced Mathematics) and Math 270 (Statistics) are also important. Don't wait to take these courses, as upper level courses have these as prerequisites! If you need help deciding, or you have to choose because your schedule is too full, we can help (just ask). Top
I'm thinking about teaching high school...
You'll be much more in demand if math is one of your "teachable subjects." There's a chronic shortage of math teachers in BC (and elsewhere). Have a look at these statistics from SFU's teacher education program (PDP). With a math minor (or major) under your belt you're almost guaranteed a seat!
No. And the UFV math department faculty members are proof. (; Kidding aside, all you need some interest, and some committment. Innate ability plays some role, but not as much as you might think. If you've made it to the end of first-year calculus you already understand more mathematics than 95% of the population, and that in itself speaks to your abilities.
The following is meant to give you a "big picture" view of some areas of modern mathematics. You'll get more specific information and suggestions about UFV courses here. This section is adapted from a Cornell university page.
Have you seen the best that mathematics has to offer? Or, as the title asks, is there (mathematical) life after calculus? In fact, mathematics is a vibrant, exciting field of tremendous variety and depth, for which calculus is only the bare beginning. What follows is a brief overview of the modern mathematical landscape:
Analysis
Analysis is the branch of mathematics most closely related to calculus and the problems that calculus attempts to solve. It consists of the traditional calculus topics of differentiation, differential equations and integration, together with far-reaching, powerful extensions of these that play a major role in applications to physics and engineering. It also provides a solid theoretical platform on which applied methods can be built. Analysis has two distinct but interactive branches according to the types of functions that are studied: namely, real analysis, which focuses on functions whose domains consist of real numbers, and complex analysis, which deals with functions of a complex variable. This seems like a small distinction, but it turns out to have enormous implications for the theory and results in two very different kinds of subjects. Both have important applications.
The study of differential equations is of central interest in analysis. They describe real-world phenomena ranging from description of planetary orbits to electromagnetic force fields, such as, say, those used in CAT scans. Such equations are traditionally classified either as ordinary differential equations (if they involve functions of one variable) or partial differential equations (if they involve functions of more than one variable). Each of these two corresponds to an active subfield of analysis, which in turn is divided into areas that focus on applications and areas that focus on theoretical questions.
Algebra has its origins in the study of numbers, which began in all major civilizations with a practical, problem-set approach. In the West, this approach led to the development of powerful general methodologies. One such methodology, which originates with Euclid and his school, involves systematic proofs of number properties. A different methodology involves the theory of equations, introduced by Arab mathematicians ("algebra" itself has Arabic etymology). Modern algebra evolved by a fusion of these methodologies. The equation theory of the Arabs has been a powerful tool for symbolic manipulation, whereas the proof theory of the Greeks has provided a method (the axiomatic method) for isolating and codifying key aspects of algebraic systems that are then studied in their own right. A notable example of such fusion is the theory of groups, which can be thought of as a comprehensive analysis of the concept of symmetry. Group theory is an area of active research and is a fundamental tool in many branches of mathematics and physics.
The simplest and most widely known example of modern algebra is linear algebra, which analyzes systems of first-degree equations. Linear algebra appears in virtually every branch of applied mathematics, physics, mathematical economics, etc. Even though the theory of linear algebra is by now very well understood, there are still many interesting areas of research involving linear algebra and questions of computation.
If we pass to systems of equations that are of degree two or higher, then the mathematics is far more difficult and complex. This area of study is known as algebraic geometry. It interfaces in important ways with geometry as well as with the theory of numbers.
Finally, number theory, which started it all, is still a vibrant and challenging part of algebra, perhaps now more than ever with the recent ingenious solution of the renowned 300-year old Fermat Conjecture. Although number theory has been called the purest part of pure mathematics, in recent decades it has also played a practical, central role in applications to cryptography, computer security, and error-correcting codes.
Combinatorics is perhaps most simply defined as the science of counting. More elaborately, combinatorics deals with the numerical relationships and numerical patterns that inhere in complex systems. For a simple example, consider any polyhedral solid and count the numbers of edges, vertices, and faces. These are not random numbers; combinatorial analysis reveals their interrelationships. Practical applications of combinatorics abound from the design of experiments to the analysis of computer algorithms. Combinatorics is, arguably, the most difficult subject in mathematics, which some attribute to the fact that it deals with discrete phenomena as opposed to continuous phenomena, the latter being usually more regular and well behaved. Until recent decades, a large portion of the subject consisted of classes of difficult counting problems, together with ingenious solutions. However, this has since changed radically with the introduction and effective exploitation of important techniques and ideas from neighboring fields, such as algebra and topology, as well as the use by such fields of combinatorial methods and results.
Relevant courses at UFV: Math 125, 225, 360, 445
Geometry and Topology
These two branches of mathematics are often mentioned together because they both involve the study of properties of space. But whereas geometry focuses on properties of space that involve size, shape, and measurement, topology concerns itself with the less tangible properties of relative position and connectedness.
Nearly every high school student has had some contact with Euclidean geometry. This subject remained virtually unchanged for about 2000 years, during which time it was the jewel in the crown of mathematics, the archetype of logical exactitude and mathematical certainty.
And then in the seventeenth century things changed in a number of ways. Building on the centuries old computational methods devised by astronomers, astrologers, mariners, and mechanics in their practical pursuits, Descartes systematically introduced the theory of equations into the study of geometry. Newton and others studied properties of curves and surfaces described by equations using the new methods of calculus, just as students now do in current calculus courses. These methods and ideas led eventually to what we call today differential geometry, a basic tool of theoretical physics. For example, differential geometry was the key mathematical ingredient used by Einstein in his development of relativity theory.
Another development culminated in the nineteenth century in the dethroning of Euclidean geometry as the undisputed framework for studying space. Other geometries were also seen to be possible. This axiomatic study of non-Euclidean geometries meshes perfectly with differential geometry, since the latter allows non-Euclidean models for space. Currently there is no consensus as to what kind of geometry best describes the universe in which we live.
Finally, the eighteenth and nineteenth century saw the birth of topology (or, as it was then known, analysis situs), the so-called geometry of position. Topology studies geometric properties that remain invariant under continuous deformation. For example, no matter how a circle changes under a continuous deformation of the plane, points that are within its perimeter remain within the new curve, and points outside remain outside. For another example, no continuous deformation can change a sphere into a plane. So they are topologically distinct.
Topology can be seen as a natural accompaniment to the revolutionary changes in geometry already described. For, once one recognizes that there is more than one possible way of geometrizing the world, i.e., more than just the Euclidean way of measuring sizes and shapes, then it becomes important to inquire which properties of space are independent of such measurement. Topology, which finally came into its own in the twentieth century, is the foundational subject that provides answers to questions such as these. It is a basic tool for physicists and astronomers who are trying to understand the structure and evolution of the universe. Indeed, recent astronomical observations, together with basic results of topology, offer the exciting prospect that we will soon be in possession of the global topological structure of the cosmos.
Relevant courses at UFV: Math 340, Math 444
Probability and Statistics
Everyone has had some contact with the notion of probability, and everyone has seen innumerable references to statistics.
The science of probability was developed by European mathematicians of the eighteenth and nineteenth century in connection with games of chance. Given a game whose characteristics were known, they devised a way of assigning a number between 0 and 1 to each outcome so that if the game were played a large number of times, the number — known as the probability of the outcome — would give a good approximation to the relative frequency of occurrence of that outcome. From this simple beginning, probability theory has evolved into one of the fundamental tools for dealing with uncertainty and chance fluctuation in science, economics, finance, actuarial science, engineering, etc.
One way of thinking about statistics is that it stands probability theory on its head. That is, one is confronted with outcomes, say, of a game of chance, from which one must guess the basic rules of the game. So, statistics seeks to recover laws or rules from numerical data, whereas probability predicts (within some margin of error) what the data will be, given certain rules.
Mathematical logic has ancient roots in the work of Aristotle and Leibniz and more modern origins in the early twentieth century work of David Hilbert, Bertrand Russell, Alfred North Whitehead, and Kurt Gödel on the logical foundations of mathematics. But it also plays a central role in modern computer science, for example in the design of computers, the study of computer languages, the analysis of artificial intelligence.
Mathematical logic studies the logical structure of mathematics, ranging from such local issues as the nature of mathematical proof and valid argumentation to such global issues as the structure of axiom-based mathematical theories and models for such theories. One key tool is the notion of a recursive function, pioneered by Gödel and intimately connected with notions of computability and the theory of complexity in computer science.
In addition to its contribution to mathematical foundations and to computer science, mathematical logic and its methods have also led to the solution of a number of important problems in other fields of mathematics such as number theory and analysis.
AND MORE...
This discussion has ignored many areas of modern "applied" mathematics.
Quick Links
What is statistics?
The world is becoming quantitative. More and more professions, from the everyday to the exotic, depend on data and numerical reasoning.
Data are not just numbers, but numbers that carry information about a specific setting and need to be interpreted in that setting. With the growth in the use of data comes a growing demand for the services of statisticians, who are experts in the following:
As someone with a background in statistics, you can help people see the "big picture" lying in their data; you have the expertise to help them understand.
The job market for people with a statistics background (even just a minor) and some programming experience is quite good. Pharmaceutical companies in particular are looking for people with SAS (Statistical Analysis Software) programming skills.
Hereyou can find a good description of what statistics is about, and possible careers.
Making yourself marketable: math or statistics minors
A particularly effective degree is one which combines expertise in some science (say Biology or CIS/Computer Science) with a mathematics or statistics minor. With that in hand, you have the advantage of a degree in a rapidly expanding field you enjoy (your major) along with the analytical skills and mathematical tools provided by your minor. Whether you end up in a lab, a business, or industry there will be mathematics and statistics behind the experiments done, the models used, or the computational routines employed. But in many situations companies do not have the in-house mathematical or statistical expertise to support and develop their enterprise. That extra edge can make you quite a valuable person!
Note that adding a minor need not increase the number of upper-level credits you need for a degree. Typically a B.Sc. major degree will require 44 upper-level credits, for example, but only 30 of them in your "major" area. The other 14 credits are only one credit short of enough for a minor. (You will need to increase the number of second-year courses you acquire though.)
Another option is to take our new 10-month Post-degree Certificate in Data Analysis after finishing your degree. The post-degree certificate builds on the skills and knowledge you have already acquired in earning your first degree allowing you to employ them fully in modern data-driven enterprise. The combination of your degree background and your data analysis skills can make you an attractive employee.
There are several math degrees available at UFV; you can find them listed here. That may seem like a long and confusing list: talking to a science advisor can help you get things sorted out, and we have people in the math department who would be delighted to talk to you! Make an appointment here.
One of the careers which is has been consistently rated as best or near-best in North America is that of an actuary, a job for which one needs quite a bit of mathematics. An actuary is an expert in evaluating the probability of future events, assessing risk, and designing ways to achieve the best possible outcomes. It's a challenging job with a good salary (about $90000 in 5-9 years), excellent opportunities, and the job market is strong.
(In fact, according to the "Jobs Rated Almanac" a rating of jobs in North America taking into account salary, benefits, stress, working conditions etc.) six of the top ten jobs on the list need a good amount of mathematics training!) | 677.169 | 1 |
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