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

Mathematics 4151 Advanced Calculus

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




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