What Are We Studying?

Course Description: A continuation of Calculus I (MAT*254). Topics include applications of integration, integration techniques, infinite series, parametric equations and polar coordinates.

Specific Course Outcomes: At the successful completion of this course, the student will be able to do the following:

  1. Compute the area between two curves

  2. Compute Volume using the Shell and Disk method

  3. Compute Arclength

  4. Solve Work problems

  5. Apply Basic Integration Rules

  6. Apply midpoint and Simpson’s Rule

  7. Apply various techniques of Integration: Substitution, Integration by parts, partial fractions

  8. Apply l’Hopital’s Rule

  9. Work with sequences and series, convergence, comparison, alternating series, Taylor series, Power series, Maclauring series, ratio and root tests

  10. Work with Parametric equations and Polar coordinates

  11. Compute Areas and lengths in Polar Coordinates