Credit: 1.0 | Prerequisite: Calculus
Calculus II picks up where Calculus leaves off and continues as far as the students can go. Minimum topics are further techniques of integration, including integration by parts, partial fraction decomposition, trigonometric techniques of integration, improper integrals, and generalizing integrals by types and learning to recognize how substitutions can be used to simplify seemingly impossible integrals. As time allows, further topics include sequences and series, an in-depth discussion of the natural number e and its properties, partial derivatives, derivatives and integrals in other coordinate systems, and line and surface integrals. Ambitious groups may encounter the beginnings of multivariable calculus (traditionally a Calculus 3 topic).