Metropolitan State University

MATH 375 : Complex Variables

A. Course Description
Credits: 4
Prerequisites: MATH 310 Calculus III: Multivariable Calculus  
Lab Hours/ Weeks: Corequisites: None
Lecture Hours/ Week :  
MnTC Goals: Goal 04 - Mathematical/Logical Reasoning , Goal LS - Upper Division Liberal Studies
 
Starting with an introduction to the complex plane, this course covers holomorphic functions and power series, Cauchy's Theorem, contour integration and its applications.
B. Course Effective Dates: 08/24/2002 - Present
C. Outline of Major Content Areas:
See Course Description for major content areas.
D. Learning Outcomes (General)
  1. Understand and apply conformal mappings.
  2. Understand complex-variable calculus, including the Cauchy-Riemann equations and the Cauchy-Goursat Theorem.
  3. Understand the basic theory of complex numbers.
  4. Understand the theory of convergence of series, including power series.
E. Learning Outcomes (MN Transfer Curriculum)
Goal 04 - Mathematical/Logical Reasoning
  1. Apply higher-order problem-solving and/or modeling strategies.
  2. Clearly express mathematical/logical ideas in writing.
  3. Illustrate historical and contemporary applications of mathematical/logical systems.
  4. Explain what constitutes a valid mathematical/logical argument(proof).
Goal LS - Upper Division Liberal Studies
    None
G. Special Information
None