MATH-2414 Calculus II

This course is a continuation of MATH-2413 Calculus I. This course covers the following topics: differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; and improper integrals. Lec 4, Cr 4

Credits

4

Prerequisite

MATH-2413

Outcomes

  1. Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.
  2. Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.
  3. Define an improper integral.
  4. Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.
  5. Determine convergence or divergence of sequences and series.
  6. Use Taylor and MacLaurin series to represent functions.
  7. Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.
  8. Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.