A continued study of algebraic and transcendental functions of one variable in the areas of analytic geometry in two dimensional Cartesian and polar systems, analytic geometry in three dimensional Cartesian systems, advanced integration techniques, sequences, series, differential equations, and vectors. This study includes computations of derivatives and integrals in polar coordinates, analysis of the hyperbolic trig functions, integration by change of variable, further applications of integration (to arc length, physics, engineering, economics, biology, statistics), modeling with differential equations (especially exponential growth and decay), approximate solutions to differential equations, solutions of seperable differential equations, convergence and divergence of sequences and series, representations of functions as Taylor/ power series, vector representations, vector arithmetic including dot and cross products.

**Credit hours:** 5

Last updated:
05/23/2022