Differentiation and integration of transcendental functions; parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals.

Upon completion, students will be able to:

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

Grade Basis: L
Credit Hours: 4
Lecture hours: 64.0