Math 503 Advanced Calculus (Graduate)
This course is an advanced multivariate treatment of calculus for the mature student of mathematics. Course content will include advanced treatment of differentiation and integration as well as advanced topics including Fourier Series and special functions
Upon completion of this course, you should be able to compare different coordinate systems, solve complicated optimization problems using LaGrange Multipliers, evaluate derivative of integrals using Leibnitz’s Rule, evaluate iterated integrals including changing coordinates, solve advanced integral problems with Vector Integral Theorems (Green, Stokes, Divergence), develop Systems of orthogonal functions with emphasis on Fourier Series, demonstrate familiarity (and some mastery) of important special functions (e.g. Gamma Function).
Prerequisite: A bachelor’s degree with a Mathematics major or must be state certified (in any state) to teach Mathematics at a secondary school level.
Previous Skills and Knowledge: Multivariate Calculus and Familiarity with Vector Analysis including Dot Product (Inner Product) and Cross Product (Vector Product)
Math 502 Abstract Algebra (Spring 2020 & Late Spring 2021)
Math 504 Real Analysis (Summer I 2020 & Summer I 2021)
Math 501 Linear Algebra (Summer II 2020 & Summer I 2021)
Math 505 Statistical Methods (Fall 2020)
Math 506 Modern Geometry (Late Fall 2020)
Math 503 Advanced Calculus (Spring 2021& Fall I 2021)