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MAT 225 - Calculus II

This course is a continuation for Calculus I. Topics include an introduction to differential equations, techniques and applications of integration, L’Hopital’s Rule, improper integrals, infinite series, conics, and parametric and polar equations. Prerequisite: MAT-220 or equivalent

Course Objectives:  Upon successful completion of the course, the student will be able to

  1. Use formulas for in finding foci and centers and graphing the Conic Sections.
  2. Use the techniques of Numerical Integration to evaluate definite integrals.
  3. Calculate Areas and Volumes by Integration.
  4. Apply integration to various situations such as work, centers of gravity, motion, etc.
  5. Find and evaluate the derivatives of Inverse Trigonometric Functions.
  6. Apply derivatives to logarithmic and exponential functions.
  7. Use techniques of integration such as integration by parts.
  8. Use Polar Coordinates to plot points and graphs of polar functions.
  9. Calculate the sums of convergent Infinite Series.

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Last modified: 05/15/08
 

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