# Math Resources

## Math Review Sessions Archive

#### Math 2417 (Calculus I) from Spring 2010

For a head start or as a refresher of the first year calculus at UTD, check out these video reviews from the Spring 2010 semester, by Patrick Bourque.

*(Windows Media Player required):*

###### Exam I Review (video) of the following:

- Epsilon-Delta definition of limit
- Finding a suitable delta for linear and quadratic polynomials
- Finding the limit of a function (multiplying by a conjugate, rational functions, special limits involving sine and cosine, using trigonometric identities)
- Finding vertical asymptotes
- Definition of continuity and finding removable and non-removable discontinuities of a (piecewise) function
- Using the limit definition of derivative to compute the derivative of a function or to show that the derivative does not exist
- The product, quotient, and chain rule for derivatives
- Verifying that a function satisfies a differential equation
- Implicit differentiation & related rates

###### Exam II Review (video) of the following:

- Using the first derivative to find intervals on which a function is increasing or decreasing
- Using the second derivative to find points of inflection and test for concavity
- Finding critical numbers and absolute extrema of a continuous function on a closed and bounded interval
- Finding the limit of a function as the argument of the function goes to positive or negative infinity
- Optimizing distance, area, and volume (with a constraint)
- Approximating the value, change , or percent change in the value of a function
- Basic integration

###### Exam III Review (video) of the following:

- Differentiation of various functions, including inverse trig functions
- The use of the properties of logarithms in differentiation
- The Texas Chain Rule Massacre
- Integration using substitution (change of variable)
- Special integrals which yield inverse trig functions as anti-derivatives
- Integration of combinations of trigonometric functions
- Integration involving completing the square
- Integration by parts
- And many more tasty morsels of calculus

#### Mathematics

- Algebrahelp.com (Refresher Lessons and Interactive Worksheets)
- Professor Freedman's Math (math remembering, math learning styles, math anxiety)
- khanacademy.org (An EXTENSIVE library of short videos covering many (math) subjects)
- Math2.org (Reference Tables and Resources: Arithmetic to Calculus)
- Math Central (Quandries and Queries - and submit questions)
- Mathematical Archives (Lessons, tutorials, and lecture notes)
- Math Forum (Answers to many math questions are on this site)
- Mathematics Library
- Mrs. Glosser's Math Goodies (interactive math lessons with a problem-solving approach)
- Math Study Skills Inventory
- PlanetMath.org (Virtual Math Encyclopedia)
- Statistics Every Writer Should Know (Robert Niles)
- Statsoft.com (Electronic Statistics Textbook)
- WebMATH.com (Basic Tutorials: Algebra through Calculus)
- West Texas A&M Virtual Math Lab (Algebra Tutorials and THEA Prep)
- Wolfram Math World (Search-able Mathematics Resource)
- Wolframalpha.com (Simply awesome on-line numeric and symbolic calculator)

#### Math iPod/iPad Apps:

- Khan Academy -
*Free*(There are many Khan Academy apps

that are available for any level of math you may need.) - Pi Cubed Lite -
*Free*

#### Math Android Apps:

- Math Attack -
*Free* - Algebra Tutor -
*Free* - Khan Academy -
*Free* - Graph Lite -
*Free* - Elementary Row Ops -
*Free*