# Videos & Other Math Resources

## Math Review Sessions Archive

Week 1: Pre-Calculus Material | click here

###### Problems presented in the Week 1 videos

###### Determining Intervals Where Function is Positive and Negative of a(n) ...

Part 1 - Polynomial |
Part 2 - Rational Function |

Part 3 - Radical Function |
Part 4 - Radical Function |

Part 5 - Logarithmic Function |
Part 6 - Exponential Function |

Part 7 - Trigonometric Function |
Part 8 - Trigonometric Function |

Part 9 - Trigonometric Function |
Part 10 - Trigonometric Function |

Week 2: Limits Using Epsilon and Delta
| click here

###### The following problems are presented in the Week 2 videos

Part 1 - Mathematical Definition of a Limit |
Part 2 - The Algebraic Approach |

Part 3 - The Algebraic Approach |
Part 4 - Using the Definition of a Limit for a Linear Function |

Part 5 - Using the Definition of a Limit for a Linear Function |
Part 6 - Proof Behind the Definition of a Limit for a Linear Function |

Part 7 - Using the Definition of a Limit for a Constant Function |
Part 8 - Using the Definition of a Limit for a Linear Function |

Part 9 - Using the Definition of a Limit for a Quadratic Function |
Part 10 - Using the Definition of a Limit for a Quadratic Function |

Part 11 - Using the Definition of a Limit for a Quadratic Function |
Part 12 - Using the Definition of a Limit for a Radical Function |

Week 3:Evaluating Limits... Coming soon! | click here

##### Problems from the Calculus Boot Camp Fall 2014

#### 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

- Differential Equations Book Updated Fall 2014
- 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)
- Purplemath (Your Algebra Resource. Elizabeth Stapel has help for you)
- StatisticsEvery 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 Placement at UT Dallas

#### 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