## Basic Mathematics

### Algebra

- ThinkQuest Library -- Algebra Many algebra topics: mathematical numbers, real number system, numerical representations in algebra, algebraic techniques, quadratic equations and inequalities, graphing, functions, polynomial functions, exponential and logarithmic functions, linear algebra, and discrete algebra.
- Professor Weissman's Algebra Tutorials Download this free software that generates random problems with step-by-step solutions. Software records your progress and has five levels of difficulty
- S.O.S. Math -- Algebra Links to many tutorials on various algebra topics.
- About Summation Signs Refresh yourself on how to distribute the summation operator.
### Logarithms and Exponents

- A Review of Logarithms Reviews the history of logarithms and follows through with the definition of a function, exponential function and logarithmic function. Great for a person needing to brush up on these concepts and their interconnections.
### Geometry

- Famous Curves Index History and math behind advanced geometry figures
- Play with Famous Curves Interactively
- Math for Morons Like Us Basic tutorials and quizzes
- The Geometry Junkyard Collection of random facts and information
- Interactive Geometry "Hands-on" fundamentals and principles, can manipulate figures, also topics on calculus, trigonometry, algebra, precalculus
- Geometry Online Links to history of geometry, middle and high school level geometry
- ThinkQuest Geometry Sample problems on many topics, glossary, and other links
- The Math Forum Math Library -- Geometry A great place for more advanced topics in geometry.
### Trigonometry

- Trigonometric Fundamentals A very elementary look at trigonometric fundamentals. Allows interactive manipulations. Great place to get the basic conceptualization of trigonometry.
- Dave's Short Course in Trigonometry Great site, thorough tutorial. Complete explanations of trigonometry supported with lots of figures. Problem sets, hints, and answers provided for each section.

## Matrix Algebra

- Linear Algebra Videos MIT Professor Gilbert Strang's course on linear algebra is viewable on the web.
- Mathematical Resources: Linear and Matrix Algebra A comprehensive listing of links to linear and matrix algebra resources on the web.
- S.O.S. Math -- Matrix Algebra Many matrix algebra tutorials from the most basic to the more complex
- Math Forum Math Library -- Linear Algebra A very comprehensive library of links to tutorials and articles on various linear algebra topics.

## Calculus

### Single Variable Calculus

- Download a FREE PDF of Gilbert Strang's Calculus Book
- Harvey Mudd College Calculus Tutorials Pre-calculus, single- variable calculus, multiple-variable calculus, linear algebra, and differential equations tutorials.
- Visual Calculus A collection of calculus tutorials for learning calculus. Covers topics such as limits and continuity, derivatives,differentiation, integration, and sequences and series.
- eCalculus An interactive site composed of calculus games, tutorials,etc.
- Calculus@Internet A comprehensive list of links for calculus topics such as precalculus, derivatives, integrals, limits, courses in calculus, labs, handouts, etc. .
- CyberCalc An interactive learning resource for the first year of calc
### Multiple Variable Calculus

- Multivariable Calculus Basic learning tools for multivariate calculus.
- Modules in Multivariate Calculus Tutorials on specific topics from MathCad, Maple, Mathematica, and MatLab.
- Animations in Multivariate Calculus Good resource to visualize multivariate calculus concepts
- Vector Calculus Links Links to various vector calculus resources including tutorials, study guides, and problems.

## Differential Equations

- Difference Equations to Differential Equations Great text on calculus as well as differential equations! You can even download a textbook on multivariate calculus.
- IDEA IDEA stands for Internet Differential Equations Activities, an interdisciplinary effort to provide students and teachers around the world with computer-based activities for differential equations in a wide variety of disciplines.
- Introduction to Ordinary Differential Equations with Mathematica A great web site that uses integrated media such as movies to demonstrate concepts in differential equations. Exercises and assignments are also available for highly motivated students. However, you need Mathematica to see the movie and other images.
- Math Pages: Calculus and Differential Equations
- S.O.S. Math: Differential Equations Texts on differential equations written clearly and concisely. In minutes, you could learn how to solve differential equations yourself!!

## Statistics

- The Statistics Home Page Stat dictionary: works better as a book than a dictionary. Quick way to learn various statistical techniques.
- StatNotes Online Textbook Online textbook: Has short summary of various multivariate techniques.

## Miscellaneous Mathematical Links

- Math Archives Links to teaching materials and shareware software for mathematics, and links to college and university mathematics departments.
- Math Pages This web site explains important math and statistical concepts in great detail. Has a section on calculus and differential equations.

## Books

Here is a short list of books that we have found helpful in learning to make the connections between statistical understanding and mathematical understanding.- Carroll, J.D.; Green, P.E.; Chaturvedi, A. (1997). Mathematical tools for applied multivariate analysis (Revised Ed). New York: Academic Press. This book combines several mathematical concepts for understanding and applying multivariate techniques. This is a great book to read to review matrix algebra and its applications to multivariate statistical techniques. Geometrical representations of multivariate techniques are discussed as well.
- Hagle, T.M. (1995). Basic math for social scientists: concepts. Thousand Oaks: Sage Publications. This book is useful for reviewing the basic mathematical skills that are necessary for reading and understanding statistical methods used in the social sciences.
- Hagle, T.M. (1996). Basic math for social scientists: problems and solutions. Thousand Oaks: Sage Publications. This book goes hand-in-hand with the Concepts book by Hagle. It contains practice problems and step-by-step solutions.
- Johnson, R.A.; Wichern, D.W. (1998). Applied multivariate statistical analysis (4th Ed). Upper Saddle River, NJ: Prentice Hall. This is a much more advanced multivariate textbook. While the material is more difficult to read than some of the other books listed, there is more detail in this book. In our opinion, this book would be of most value if read in conjunction with or following the reading of some of the more basic books on this list.
- Stewart, J. (1999). Calculus (4th Ed). New York: Brooks/ Cole Publishing Company. A useful book for learning and reviewing calculus. This book offers many useful examples. Solutions manuals may be purchased for single and multiple variable calculus units (highly recommended!!!).
- Wickens, T.D. (1995). The geometry of multivariate statistics. Hillsdale, NJ: Lawrence Erlbaum Associates. An excellent book for understanding how multivariate techniques can be visualized in variable and person space. This book packs a useful geometrical perspective of multivariate analyses into a small package.
- AddALL.com: Book Search and Price Comparison Find new and used books online!

## Shareware

- IBM Shareware -- Precalculus Download this shareware if you need algebra tutorials, calculus calculator, solutions to algebraic, calculus and trigonometric functions and more!
- Mathematics: University of Arizona Software Programs Another wonderful site with various algebra, calculus, and differential equations packages.
- Math Archives: Windows/ MSDOS Software Collection Shareware on mathematical and statistical topics.
- Math Archives: Macintosh Software Collection Shareware on mathematical and statistical topics for MAC users.
- Math Archives: Multiplatform Software Shareware on mathematical and statistical topics that run on a variety of different platforms.