# Videos & Other Math Resources

## Math Review Sessions Archive

#### Math 2414 Review Videos

Week 1: Integration Techniques and L'Hôpital's Rule
| click here

Week 2: Vectors
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Week 3:
Integration By Parts and Trigonometric Integrals
| click here

#### Math 2420 Review Videos

Week 1: What is Differential Equations?
| click here

Week 2: First-Order Linear Equations and Bernoulli Equations
| click here

#### Math 2451 Review Videos

Week 1: Limits and Rectangular, Cylindrical, and Spherical Coordinates
| click here

#### Math 2413 Review Videos

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) ...

Week 2: Limits Using Epsilon and Delta
| click here

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

Week 3: Evaluating Limits
| click here

###### The following problems are presented in the Week 3 videos

Week 4: Definition of a Limit for Vertical

Asymptotes and Continuity | click here

Asymptotes and Continuity | click here

###### The following problems are presented in the Week 4 videos

Week 5: The Definition of a Derivative and

Horizontal Asymptotes | click here

Horizontal Asymptotes | click here

###### The following problems are presented in the Week 5 videos

Week 6: Asymptotes, Infinite Limits, Differentiation Rules | click here

Week 7: Differentiation using the Chain Rule and

Implicit Differentiation | click here

Implicit Differentiation | click here

Week 8: Differentiation of Inverse Trigonometric Functions and

Logarithmic Functions | click here

Logarithmic Functions | click here

Week 9: Related Rates and
Differential Approximation
| click here

Week 10: Extrema
| click here

Week 11: Concavity, Curve Sketching, Second derivative test
| click here

Week 12: Integration
| click here

Week 13: Area and Riemann Integrals
| click here

Week 14: Integration
| click here

#### Calculus Boot Camp

###### 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*