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

• Differential Equations Book   Updated Spring 2013
• 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.)
• Math Tour Lite - Free
• Pi Cubed Lite - Free
• Equation -
• MATHO2 -
• Hot Potato Algebra - Free
• There are other Hot Potato math apps as well
• Signed Numbers - Free

Math Android Apps:

• Math Tricks Lite - Free
• Math Tricks -
• Mancala - Free
• Math Attack - Free
• Algebra Tutor - Free
• Khan Academy - Free
• KS2 Maths Bundle 1 Sample - Free
• Graph Lite - Free
• Elementary Row Ops - Free
• Pre-Algebra - Free
• Edmodo - Free
• MATHO - 99¢
  

Make an appointment

Call 972.883.6707
or stop by
the Math Lab MC 3.606