Calculus II

Catalog description

A continuation of Calculus I. Transcendental, logarithmic, exponential, and trigonometric functions are defined and their differential and integral properties are studied in detail. Techniques of integration, such as trigonometric substitution, integration by parts, and partial fractions are developed. Other topics studied include the theory of plane analytic geometry, the relationship between Cartesian and polar coordinates, conic sections, indeterminate forms, L’Hopital’s rule, improper integrals, Taylor’s formula, the theory of sequences and infinite series, tests for convergence, and the power series representation of elementary functions. Prerequisite: A grade of “C” or better in MATH 2253.