**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 3231 **Description**: Topology of Rn. Continuity and differentiability of functions from Rn to Rm. Taylor’s Theorem for functions of n variables. Maxima and minima; positive definite and negative definite quadratic forms. The Inverse Function Theorem and the Implicit Function Theorem. Fubini’s Theorem. Change of variables in multiple integrals. **Offering:** 0-0; 3-0