You have returned to the top of the page and may restart browsing.
Skip Main Navigation
You have skipped the global top navigation and may now begin browsing the page.
  1. Home
  2. Colleges
  3. College of Arts and Sciences
  4. Math and Statistics
  5. Syllabi
  6. Math 537 syllabus

Math 537 syllabus

Complex Analysis

Course Description: Arithmetic of complex numbers; regions in the complex plane; limits, continuity and derivatives of complex functions; elementary complex functions; mappings by elementary functions; contour integration; power series; Taylor series; Laurent series; calculus of residues; conformal representation; applications. Credit for both MA 537 and MA 437 is not allowed.

Prerequisite: MA 238 Minimum Grade of C or MA 338 Minimum Grade of C

Suggested Textbook:   Complex Variables and Applications by Brown and Churchill, Ninth Edition, McGraw-Hill, Inc.
Course Coverage:   Chapters 1-7.

 
Learning outcomes: Upon the successful completion of the course a student will

  • know major theorems of complex analysis, including their proofs:  Cauchy-Riemann Equations, Cauchy Theorem, Cauchy Integral Formula, the Maximum Modulus Principle, Liouville Theorem, the Residue Theorem, Rouche Theorem