Mathematics - Study Help

Top Picks

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The Learning Center offers Brooklyn College students free peer tutoring in courses across the curriculum. Students can get help with many courses, including Pre-Calculus, Calculus I, II, and III, and Linear Algebra, by working with tutors individually or in small groups. The Learning Center also offers reviews that prepare students for math midterms and finals.
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Homepage of the Brooklyn College Mathematics Department. Includes contact information for Mathematics faculty. Under the site's Undergraduate tab, find course descriptions, sample finals, online tutorials, math tutors, and information about the BC Math Club.
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This guide provides a detailed outline of the call numbers of the library's mathematics books, which range from QA1 to QA939. Using this guide will help you to quickly and easily locate books for a particular mathematical subject area.

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The Khan Academy is a not-for-profit organization with the mission of providing a world-class education to anyone, anywhere. The site allows users to browse 1800+ videos by topic. Each video is 10-20 minutes and was designed for viewing on a computer as opposed to being a longer video of a conventional "physical" lecture. This site offer a wide range of help for various mathematical subject areas, such as Algebra, Geometry, Trigonometry, Pre-Calculus, Calculus, Linear Algebra, Differential Equations, and so much more.

Online Calculators

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Choose from a variety of calculators including but not limited to: standard, scientific, graphing, percent, loan, currency, time, temperature, length adding, and unit converter.
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The GraphApplet 1.0 is a full featured graphing calculator. This calculator offers most of the features offered by handheld graphing calculators. The GraphApplet graphing calculator has all the common operators and functions as expected from typical scientific calculators and graphing calculators for graphing functions.
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This 2D graphing calculator draws functions, equations, parametric curves, and point sets using either the Cartesian or polar coordinate system. It also calculates first, second, and third derivatives. Note: gCalcD requires Java.

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Graph multiple equations, change graph settings, find the intersection of curves, and plot points.
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Graph multiple functions at the same time. You can alter the parameters, change the viewing window, and restrict the domain.
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Use this calculator to graph advanced functions. This calculator also provides a Tutorial Analyzer, which tells you how the given graph demonstrates certain concepts in Pre-Calculus, such as domain, symmetry, x-and-y intercepts, vertical asymptotes, horizontal asymptotes, increasing/decreasing intervals, period/amplitude, and end behavior. In addition, also shows how the given graph demonstrates Calculus concepts such as first derivative, second derivative, local maxima and minima, points of inflection, concave up/concave down intervals, jump discontinuities, and vertical tangents/cusps/corners.
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Choose from a variety of problem solvers for the following mathematical subject areas: basic math, pre-algebra, trigonometry, precalculus, and calculus. This site also contains a graphing calculator and you can alter the settings of how this calculator displays the graph of a given function.

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Microsoft Mathematics provides a set of mathematical tools that help students get school work done quickly and easily. With Microsoft Mathematics, students can learn to solve equations step-by-step while gaining a better understanding of fundamental concepts in pre-algebra, algebra, trigonometry, physics, chemistry, and calculus. Microsoft Mathematics includes a full-featured graphing calculator that’s designed to work just like a handheld calculator. Additional math tools help you evaluate triangles, convert from one system of units to another, and solve systems of equations.

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Microsoft Mathematics Add-in for Word and OneNote makes it easy to plot graphs in 2D and 3D, calculate numerical results, solve equations or inequalities, and simplify algebraic expressions in your Word documents and OneNote notebooks. The add-in also provides an extensive collection of mathematical symbols and structures to display clearly formatted mathematical expressions. The following lists some of the tasks that can be accomplished with this add-in: compute standard math, trigonometric, and statistical functions, find limits, derivatives, integrals, sums & products of series, and perform matrix operations.

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Easy-to-use online math calculators and solvers for various topics. Good for practicing, checking homework solutions, and exploring with various values.
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Wolfram Alpha is a computational knowledge engine. It is not a search engine; rather, it generates output by doing computations from its own internal knowledge base. The best way to get an idea of its scope and capabilities is to view its Examples page.

Encyclopedias

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This mathematics encyclopedia is set up to be browsed alphabetically. Click on a given letter or number in order to view the entries under that letter or number.
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The PRIME Encyclopedia is designed to be browsed alphabetically. Topics include (but are not limited to) basic math, algebra, analysis, calculus, discrete math, computer science, economics, geometry, number theory, trigonometry, and statistics.
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This free online encyclopedia of mathematics is a comprehensive graduate-level reference work. It includes more than 8,000 entries and is updated on a regular basis.

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Provides definitions of the fields that make up mathematics. The site is organized according to the Mathematics Subject Classification (MSC) scheme. Alternative hierarchies to sort through the mathematical landscape are also provided.
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This article provides a comprehensive listing of links to various mathematical subject areas and lists of topics that fall under each area.

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Provides a broad overview of the scope of mathematics.
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MathWorld is an extensive mathematical encyclopedia from Wolfram Research, makers of Mathematica. Find definitions and explanations of mathematical concepts in these and other areas of mathematics: algebra, applied math, calculus and analysis, discrete math, geometry, number theory, probability and statistics, and topology.

Multi-Subject

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The Khan Academy is a not-for-profit organization with the mission of providing a world-class education to anyone, anywhere. The site allows users to browse 1800+ videos by topic. Each video is 10-20 minutes and was designed for viewing on a computer as opposed to being a longer video of a conventional "physical" lecture. This site offer a wide range of help for various mathematical subject areas, such as Algebra, Geometry, Trigonometry, Pre-Calculus, Calculus, Linear Algebra, Differential Equations, and so much more.

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This site offers many math help resources, including math lessons, math games, and a math help message board. The math subjects covered are Algebra, Geometry, Trigonometry, Calculus, and Statistics.
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The Math Forum is the leading online resource for improving math learning, teaching, and communication since 1992. Teachers, mathematicians, researchers, students, and parents use the Forum to learn math and improve math education. This site offers a wealth of problems and puzzles; online mentoring; research; team problem solving; collaborations; and professional development. Students have fun and learn a lot. Educators share ideas and acquire new skills. Some of the Forum's popular programs are Professional Development, Problems of the Week, Ask Dr. Math, Math Tools, and Teacher2Teacher.
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This site presents online math videos which discuss various topics that fall within the scope of Algebra, Geometry, Trigonometry, and Calculus. The examples for the given topics under the three aforementioned main categories are solved in different ways, which reflect the idea that there are multiple ways to solve mathematical problems. In order for these videos to play on your computer, it must have the latest version of Flash Player installed.

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Is math your favorite subject or your most hated topic in school? Here's plenty of math help, math fun and other useful resources for you! Find interesting quizzes, practice, homework help and other materials to keep you occupied; or fun facts, games, puzzles and other cool stuff to make this subject something to be enjoyed rather than dreaded. Have some fun while learning some key skills to improve your grades. If you are preparing for the SAT or ACT test, then this site offers math help and useful tips. For parents, teachers and educators, there are loads of materials here for teaching and learning. Find interesting and fun stuff to help your kids, students and children to enjoy, appreciate and learn numbers, counting, arithmetic, fractions, computation, geometry, statistics, set theory, trigonometry and even algebra and matrices! Check out the "Interactive Zone" for dynamic online worksheets, exercises and other simulations. This site also contains YouTube videos for many topics.

Algebra I and II

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Mometrix Academy offers free videos covering the basics of algebra. Topics include equations, inequalities, systems of equations, polynomials, and functions.

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Includes lessons and solvers for many different topics in Algebra I. Also offers the opportunity to pose questions to a free online tutor and includes a list of questions already answered by the tutors.
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Includes lessons and solvers for many different topics in Algebra II. Also offers the opportunity to pose questions to a free online tutor and includes a list of questions already answered by the tutors.
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This site offers a collection of lessons, calculators, and worksheets created to assist students with algebra. The Lessons component explores key algebra topics such as equations, simplifying, and factoring. The Calculators component offers a variety of calculators to help you with topics relating to equations, expressions, functions, and numbers. If you need to hone your skills, then the Worksheets component is for you, as it provides tons of problems, and your answers can either be graded automatically or you can compare your answers against the answer key.

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Are you bored with, confused by, or hate algebra? Do you want to further your own knowledge or need to review key algebraic concepts and formulas to prepare for an upcoming exam? Well, Coolmath is here to help! Coolmath Algebra offers a multitude of easy to follow lessons and examples that will make you a successful algebra student. Coolmath teaches mathematical concepts in a clear, concise, step-by-step manner so that you can easily follow along and comprehend what is being taught. The Algebra Cruncher, a unique feature offered by Coolmath, generates endless practice questions with hints and solutions for particular algebraic concepts.

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Provides worksheets with problems and solutions. Topics include evaluating expressions, operations with rational numbers, absolute value/radical/rational equations, distance-rate-time word problems, inequalities, linear equations, linear inequalities, trigonometry, quadratics, systems of linear equations and inequalities, and word problems.
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Provides worksheets with problems and solutions. Topics include evaluating expressions, multi-step equations and inequalities, linear equations and inequalities, systems of equations and inequalities, matrices, complex numbers, quadratic functions and inequalities, polynomial functions, conic sections, sequences, series, trigonometry, and exponential and logarithmic functions.
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This site provides lessons in algebra. This site clearly explains key concepts and terminology. It also provides numerous examples along with step-by-step solutions. A unique and very helpful feature that this site offers is that it contains embedded video content for all the topics of algebra found on the site. These videos can serve as your personal tutor, as the people presented in the videos explain the given concepts or procedures in a concise and easy to understand manner. Free algebra worksheets offer practice on many topics, including simplifying expressions, solving equations, solving systems of equations, and factoring trinomials or quadratic equations.

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Purplemath’s Algebra Lessons are written with the student in mind.  These lessons emphasize the practicalities rather than the technicalities, demonstrating dependable techniques, warning of likely ‘trick’ questions, and pointing out common mistakes.  The Learning Forums help students gain understanding and self-confidence in algebra. These forums exist in the hope of helping learners grow in mathematical knowledge and inner strength. The Site Reviews can save you time from performing Internet searches to find a useful site that can help you out as Purplemath has reviewed and compiled a list of freely accessible web resources at your immediate disposal that will help you become a successful algebra student.

Geometry

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A very elementary introduction to geometry. The site introduces basic geometric terms and provides examples of given geometric concepts. You can also test your knowledge of the concepts by taking the practice quizzes.
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This site offers a multitude of geometry lessons, as well as links to geometry lessons from other sites. Also, for those who learn best by watching and listening, the site provides video (Flash) lessons.
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Includes lessons and solvers for many different topics in geometry. Also offers the opportunity to pose questions to a free tutor and includes the list of questions already answered by the tutors.
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Can be used as an online review book to supplement your course text. This site takes a four step approach in making you understand the given geometric concepts and terms: First Glance (brief overview), In Depth (more detailed discussion), Examples (solved problems), and Workout (problems for you to solve where after typing the answer you will be told if it is correct or incorrect and the steps taken to arrive at that answer). Also provided on this site are tables and formulas sheets for: Polygons, Area, Volume, Surface Area, Circles, and Perimeter.
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This site reviews the basic terms and concepts in geometry and some of its real-life applications. In addition, this site includes YouTube videos that allow you to see and hear problems being solved.
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Euclid have you stumped? Archimedes run rings around your head? If yes, then this site is the right place for you. You will find almost everything you will ever need to know about Geometry. In addition, there is a special page on constructions and plenty of sample problems to help you understand the concepts. If you are unsure of any geometric terms, a comprehensive glossary is provided for your reference.

Trigonometry

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This site is for those who would like to learn or brush up on trigonometry. These notes are more of an introduction and guide than a full course. Images in Dave's Short Trig Course are illustrated with a Java applet. If your browser is Java-enabled, you can drag the points around in the diagrams and the diagram will adjust itself. This site was created by Professor David E. Joyce, Department of Mathematics and Computer Science, Clark University.
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This site gives an introduction to the basics of trigonometry. Some of the examples use a Java plugin, which allows you to interact with the examples to more easily grasp the concept at hand as well as to show the relationship between the algebra and geometric interpretations of those given trigonometric topics.
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Analytic trigonometry is the branch of mathematics that examines trigonometric identities in terms of their positions on the x-y plane. In this chapter, you will learn various trigonometric identities and how they can be used to simplify and solve trigonometric problems. Also presented are the graphs of the inverse trigonometric functions and their domains and ranges.
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The graphs in this section are probably the most commonly used in all areas of science and engineering. They are used for modelling many different natural and mechanical phenomena (populations, waves, engines, acoustics, electronics, UV intensity, growth of plants and animals, etc). This section also provides interactive tutorials where you can visualize the relationship between the different parts of a trigonometric equation and its resulting graph.
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This site is to be used as a supplemental online text. This chapter of the online text starts by explaining the basic trigonometric functions using degrees (), and in the later part of the chapter discusses radians and how they are used in trigonometry.
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This site reviews the basic terms and concepts in trigonometry and some of its real-life applications. In addition, this site includes YouTube videos that allow you to see and hear problems being solved.
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Choose a topic from the given list. Detailed explanations and drawings discuss the topic at hand. Work through the given examples to grasp the concept and check the step-by-step solution to see if you got the right answer.
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This site can be used as a supplemental trigonometry text or as a refresher for a variety of trigonometry topics.
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Brief overview of trigonometry. This site contains a listing of common trigonometric identities, a trigonometric table of values, hyperbolic trigonometric identities, and trigonometric graphs. In addition, this site has calculators for calculating the cosine, sine, and tangent of angles.
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Free tutorials and problems on solving trigonometric equations, trigonometric identities and formulas. Java applets are used to explore, interactively, important topics in trigonometry such as graphs of the 6 trigonometric functions, inverse trigonometric functions, unit circle, angle and sine law. Also find a trigonometric identities and formulas page containing all the important definitions, identities, and formulas used in trigonometry.

Precalculus

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Need help with your precalculus homework and tests? These articles can help you understand the basic concepts you need before beginning calculus. Click the plus sign to view articles in a section, or use the "Search Precalculus" search box to find something specific.
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This website provides an introduction to Pre-Calculus, using Mathcad or StudyWorks as a calculation and visualization tool. Many interactive examples let you explore the concepts and practice the skills necessary for understanding Calculus. The course explores many different kinds of functions. Functions are introduced in the context of practical model-building, and investigated from algebraic, numeric, and graphic points of view. Working through the entire course of materials will prepare you for the formal definition and use of these concepts in Calculus.
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Internet Resources for Pre-Calculus.
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This website provides a collection of videos, games, activities and worksheets that are suitable for Pre-Calculus.

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Gain confidence in your Pre-Calculus skills by solving problems under a given Pre-Calculus topic and then view the solutions to see whether your solution is correct.
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This tutorial is designed for students enrolled in a Precalculus Course, or a course in College Algebra and Trigonometry. It does not, and cannot, replace the textbook or other class resources or assignments. This resource incorporates material developed by John W. Bales, the Department of Chemistry at Tuskegee University, and the Department of Mathematics and Statistics at Georgia State University under a grant from the National Science Foundation.

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Free interactive tutorials that may be used to explore a new topic or as a complement to what has already been studied. The analytical tutorials may be used to further develop your skills in solving problems in Pre-calculus. These tutorials take a step-by-step approach in solving the given examples and give exercises along with the solution. Several of the tutorials are to be used in conjunction with the applets tutorials in this site
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This tutorial by the Brooklyn College Learning Center gives an overview of functions, including what the definition of a function is and how to find its domain and range. Also presented are various types of functions, such as quadratic and rational, and how to graph functions. Also provided are brief overviews of the six trigonometric functions and exponential functions.
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Test your knowledge of various Pre-Calculus concepts by taking these practice Pre-Calculus exams.
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To be used as a supplemental online textbook that discusses Pre-Calculus topics in an in-depth, easy to understand way.
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View a list of concepts with which you should be familiar with at the conclusion of your Pre-Calculus course.

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A collection of modules that can be used in the studying or teaching of Pre-Calculus.

Calculus

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Free interactive tutorials that may be used to explore a new topic or as a complement to what has already been studied. Topics in calculus are explored interactively (using Java applets) and analytically with examples and detailed solutions.
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Online Calculus textbook by Gilbert Strang, courtesy of MIT Open Courseware. Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide.
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Provides links to other mathematical websites that will guide you in understanding calculus concepts. Also contains multimedia tutorials for limits, continuity, and finding derivatives. In addition, you can watch a Flash movie that presents crucial formulas you need to know for calculus.
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Detailed lessons and examples for various calculus concepts. Can choose lessons from following categories: algebra, trigonometry, differentiation, integration, and higher calculus. Can be used as a supplemental online calculus textbook. Play the Millionaire Calculus Game to test your Calculus knowledge.
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Provides articles concerning a variety of calculus topics. Each of these articles has been referenced in Calculus textbooks by Larson, Hostetler, and Edwards.
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This is an online textbook for a course in multivariable calculus. It was written by George Cain and James Herod and has been used at Georgia Tech. The notes are available as Adobe Acrobat documents.
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Multivariable Calculus Online is adapted from the textbook "Calculus: A Modern Approach" by Kevin Shirley and Jeff Knisley. Jeff Knisley is a Professor of Mathematics at East Tennessee State University.

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Online course notes for Calculus I from a Mathematics professor at Lamar University. They should be accessible to anyone wanting to learn Calculus I or needing a refresher in some of the early topics in calculus.
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Online course notes for Calculus II from a Mathematics professor at Lamar University. They should be accessible to anyone wanting to learn Calculus II or needing a refresher in some of the topics in this course.
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Online course notes for Calculus III from a Mathematics professor at Lamar University. They should be accessible to anyone wanting to learn multivariable calculus or needing a refresher in some of the topics in this course.
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Explains various calculus concepts and provides detailed examples for those concepts.
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This tutorial by the Brooklyn College Learning Center provides sample derivative problems for the main derivative formulas--product, sum, quotient, difference, trigonometric, exponential, and logarithmic. It also includes examples of how to use the chain rule and implicit differentiation.
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Online companion to several calculus textbooks by James Stewart. Includes web links, book supplements, and other resources, all of which will assist you in clearly understanding calculus concepts.
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Provides a multitude of links to other calculus websites.
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A collection of modules that can be used in the studying or teaching of calculus.
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Calculates the integrals of functions.
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Calculates the derivatives of functions.

Discrete Mathematics/Discrete Structures

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This online text, written by Edward A. Bender and S. Gill Williamson, can be used as a supplemental text to your Discrete Mathematics course textbook. Topics include Boolean functions, computer arithmetic, propositional and predicate logic, number theory, cryptography, sets, functions, equivalence, order, induction, series, and sequences.

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These notes, written by Zeph Grunschlag, cover a variety of topics, including logic, sets, functions, modular arithmetic, number theoretic algorithms, RSA cryptography, proofs, induction, recursion, counting, relations, and graph theory. These notes are presented as PowerPoint presentations.
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Can be used as a supplemental textbook. Topics include logic and sets, relations and functions, division and factorization, finite state machines and automata, Turing machines, modulo arithmetic, recurrence relations, graphs, and digraphs.
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These lecture notes are written by Professors Mike Clancy and David Wagner. Go the page's "Lectures" section for a list of topics and corresponding lecture notes. Topics include logic, induction, proofs about algorithms, Boolean functions and expressions, algebraic algorithms, counting, probability, halting problem, and Gödel's theorem.
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Can be used as a supplemental online text to your course textbook. Topics discussed are problem solving, logic, predicate logic, set theory, recursion, relations, and functions.
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These notes discuss the following topics: counting, permutations, mathematical induction, pigeonhole principle, principle of inclusion and exclusion, Polya Theory, and generating functions and their applications.
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These lecture notes and slides, written by Professor Alexei V. Samsonovich, provide a concise overview regarding various topics discussed in discrete mathematics, including elements of logic, sets, relations, functions, induction and recursion, combinatorics, algorithms, graphs, paths, trees, and circuits.

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These notes, written by Professor Miguel A. Lerma at Northwestern University, can be used as a supplemental text. Topics include logic and proofs, sets, functions, relations, modular arithmetic, induction, counting, probability, graph theory, trees, Boolean algebra, automata, and grammars and languages.
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Provides an overview of the field of discrete mathematics and the various topics that fall within its scope.

Linear Algebra

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This PDF is a compact review of the primary concepts of linear algebra. The order of presentation is unconventional, with emphasis on geometric intuition rather than mathematical formalism.
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Need homework and test-taking help in linear algebra? These articles can help you understand various topics in Linear Algebra. Click the plus sign to view articles in a section, or use the "Search Linear Algebra" search box to find something specific.
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Investigate the properties of vectors, vector spaces, and linear transformations on the vectors web page. Investigate matrices, matrix operations, orthogonal matrices, determinants, matrix inverses, eigenvalues and eigenvectors, and matrix decompositions on the matrices web page. Solve varying systems of linear equations and linear differential equations on their respective web pages. This site, run by Elmer G. Wiens, also provides illustrated, interactive examples for some topics to allow one to visualize the changes one makes to the placeholders in a given formula. Most of the topics on this site are for intermediate to advanced students taking Linear Algebra.
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Presents selected chapters from MIT Professor Gilbert Strang's Introduction to Linear Algebra textbook.
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This site presents lectures discussing Linear Algebra topics and can be used as a supplemental text.
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This site reviews the basic terms and concepts associated with matrices. It provides examples with step-by-step solutions for most of the given topics. In addition, this site includes YouTube videos that allow you to see and hear problems being solved.
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This site reviews the basic terms and concepts associated with vectors. It provides examples with step-by-step solutions for most of the given topics. In addition, this site includes YouTube videos that allow you to see and hear problems being solved.
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This online textbook is an introduction to linear algebra that emphasizes concepts rather than just procedures. It is a stand-alone unit in the sense that no prior knowledge of matrices is assumed. The textbook begins with chapters that explain the matrix operations of addition, subtraction, scalar multiplication, and matrix multiplication. It also allows the students to explore the notions of inverse, determinant, and consistent and inconsistent systems. In addition, it provides students with an introduction to Markov chains, curve fitting, eigenpairs, and some of the numerical challenges that are encountered when matrices are used to solve real-world problems. This textbook was created from elementary principles with significant input from Rice University faculty and students.
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Provides math review material for various Linear Algebra topics, ranging from matrix operations to eigenvalues and eigenvectors. This site will provide additional help in solving homework problems, refreshing your memory, and preparing for an upcoming exam. The given examples/explanations for each topic will make abstract concepts clearer and easier to understand.

Formal Logic

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This Internet Enyclopedia of Philosophy article gives an overview of Propositional Logic. Topics discussed include: history, syntax, formation rules, truth-functional connectives, truth tables, tautologies, logical equivalence, validity, rules of inference, deduction, and propositional calculus.
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This comprehensive introduction to Formal Logic, written by Stefan Waner and Steven R. Costenoble, will serve as a great supplemental text to your course text. The study of symbolic logic is usually broken into several parts. The first and most fundamental is the propositional calculus, and this is the subject of most of this web text. Built on top of this is the predicate calculus, which is the language of mathematics. The first six sections of this web text focus on the propositional calculus while the last two focus on the predicate calculus. The material is presented in an easy to understand manner with plenty of examples, some of which are interactive. Boxed off and highlighted in red are the important rules, laws, and definitions that crucial in the study of logic.
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This site is the Logic Homepage for the Philosophy Department at Lander University. Choose from a variety of course topics taught in an introductory class to logic such as structures of arguments, logic and language, fallacies, categorical propositions and syllogisms, ordinary language, and symbolic logic. Also provided are very useful Logic Resources and Exercises that will test your comprehension of the critical ideas found in logic. There is a link provided under "General Resources" on this site to various Logic Links that will clarify and strengthen your learning of the key concepts taught in your logic course.
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Provides a detailed discussion of Predicate Logic and its various components. Topics discussed include: well-formed formulas (wffs), quantification, from wff to proposition, English to Logic translation, and reasoning with Predicate Logic. There are plenty of exercises (with answers provided), some of which are interactive, that will test and strengthen your comprehension of the material.
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Provides a detailed discussion of Propositional Logic and its components. Topics discussed include: propositions, elements of Propositional Logic, truth tables, connectives, translating from English into Propositional Logic, and reasoning with propositions. There are various exercises (with answers provided), some of which are interactive, that will test and strengthen your comprehension of the material.
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This educational web site provides over 100 free online tutorials on critical thinking, logic, scientific reasoning, creativity, and other aspects of thinking skills. The online tutorials are organized into over 10 modules that discuss the following: critical thinking, meaning analysis, argument analysis, basic logic, sentential logic, predicate logic, Venn diagrams, scientific reasoning, basic statistics and probability, strategic reasoning, values and morality, fallacies and biases, and creativity.
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This tutorial by the Brooklyn College Learning Center will acquaint you with formal logic. The three main categories discussed are logical operators, rules of logic, and proofs.
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This website is the course homepage for Symbolic Logic taught by Peter Suber, Professor of Philosophy at Earlham College. Provided on this site are course handouts on a variety of topics such as truth and validity, propositional logic terms and symbols, translation tips, derivations, truth trees, and predicate logic terms and symbols. Also provided are links to various sites that cover different aspects of logic and links to journals on symbolic logic.
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This site uses Venn diagrams to show you how the logical connectives function.
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A logician is a person, such as a philosopher or mathematician, whose topic of scholarly study is logic. This Wikipedia article lists famous logicians in English alphabetical transliteration order (by surname).
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This Wikipedia article gives an overview and background of the field of logic.
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A table of the basic logic symbols is provided with their names, how they should be interpreted, the related field of mathematics they belong to, their informal definitions, and examples of how they are used.

Mathematical Proofs

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This site discusses both the mechanics of proofs and proof strategies. The mechanics of proofs section discusses various proof techniques, such as direct proof, proof by contrapositive, proof by contradiction, and proof by mathematical induction. The proof strategies section covers defintions, constructive versus existential proofs, counterexamples, proof by exhaustion, and the pigeon hole principle.

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Students often ask what proofs are, how to understand them, and how to write them. This page is a compilation of questions and answers about proofs from the Math Forum.

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Provides an overview of mathematical proof techniques, including direct proof, proof by mathematical induction, proof by transposition, proof by contradiction, proof by construction, and proof by exhaustion.

History of Mathematics

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Provides a chronological listing of mathematicians starting from 1700 BC to 1970. In addition, it contains a section devoted to Regional Mathematics, discussing the history of math in Babylonia, Egypt, China, Greece, India, Arab sphere, Japan, and Europe. The site also has a Subjects section that provides an extensive bibliography for the history of numerals and counting, algebra, geometry, arithmetic and number theory, mathematical analysis, and probability and statistics. There is also a comprehensive section that discusses all 13 books of Euclid's Elements. This site is maintained by Professor David Joyce, Department of Mathematics and Computer Science, Clark University.
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Provides a comprehensive overview of the history of mathematics with in-depth indexes for Biographies, Historical Topics, and Famous Curves. Additional Materials relating to certain mathematicians, and Mathematicians Of The Day (the importance of the current date throughout the history of math). This archive was compiled by the School of Mathematics and Statistics at the University of St. Andrews, Scotland.
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This "Theme Page" has links to information about Math History. Students and teachers will find curricular resources (information, content...) to help them learn about a given topic. In addition, there are also links to instructional materials (lesson plans) which will help teachers provide instruction about the given theme.
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Offers a list of some of the best books and most reliable web sites containing information on the history of mathematics and, in particular, the history of calculus.
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Provides links to various websites that discuss different areas within the history of math.
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An extensive history of mathematics is at your fingertips, from Babylonian cuneiforms to advances in Egyptian geometry, from Mayan numbers to contemporary theories of axiomatical mathematics. You will find it all here. Biographical information about a number of important mathematicians is included on this site.