MAA-MATHEMATICS: ANALYSIS
 

MAA 4211         Advanced Calculus I        3

Prerequisite: MAC 2313 and MHF 3202.

The theory of functions of a real variable. Inequalities, sequences, rigorous discussion of limits, continuity, differentiability and Riemann integrals. Basic concepts of point set topology on the real line. (Gordon Rule Course: Theoretical Math)

MAA 4212         Advanced Topics in Multi-Variable Calculus              3

Prerequisite: MAC 2313.

Differential and integral calculus of functions of several variables. Basic concepts of point set topology on the plane, partial derivatives, chain rule, multiple integrals and their transformations, infinite series, uniform convergence of sequences and series of functions. (Gordon Rule Course: Theoretical Math).

MAA 5404         Analytic Functions            3

Prerequisite: MAC 2313.

Complex numbers and functions of a complex variable. Complex numbers, their algebra and their geometric representation, the elementary functions, analytic functions and harmonic functions, the complex line integral, integral formulae, Taylor and Laurent series, residues and applications of residues. (Senior standing is required).