Course Title:
Complex Variable Theory and Differential Equations
Course Description:
Comprises the theory of functions of a complex variable. Covers Cauchy’s integral and related theorems, Taylor and Laurent series, analytic continuation, and multivalued functions. Considers special functions of mathematical physics using generating functions, Taylor and Laurent expansions, and various integral representations. Reviews applications of complex variable theory drawn from optics and electromagnetic theory and from digital signal processing and digital communications. Focuses on the theory of ordinary and partial differential equations of mathematical physics. Develops series solutions of ordinary differential equations of second order using the tools of complex variable theory. Covers Sturm-Liouville theory and uses it to develop eigen function and Green function solutions of homogeneous and inhomogeneous partial differential equations.
Fall Offering:
None
Lab/Coreq 1:
Spring Offering:
None
Lab/Coreq 2:
Summer Offering:
None
Lab/Coreq Remarks:
Summer 1 Offering:
None
Prerequisite 1:
Summer 2 Offering:
None
Prerequisite 2:
Cross-Listed Course 1:
Prerequisite 3:
Cross-Listed Course 2:
Prerequisite 4:
Cross-Listed Course 3:
Prerequisite 5:
Cross-Listed Course 4:
Prerequisite Remarks:
Knowledge of undergraduate advanced calculus.
Cross-Listed Course 5:
Repeatable:
N
