# 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

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

#### Math Android Apps:

• Math Attack - Free
• Algebra Tutor - Free