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Master Syllabus

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Administrative Unit: Computer and Mathematical Sciences Department
Course Prefix and Number: MATH 371
Course Title: Introduction to Complex Variables
Number of:
Credit Hours 3
Lecture Hours 3
Lab Hours 0
Catalog Description: Introduction to the basic tools of the theory of complex variables, such as complex differentiation and the Cauchy-Rieman equations, analytic functions, complex series, complex contour integration, residues, poles and conformational mapping. Prerequisite: Grade of C or higher in MATH 222.
Prerequisite(s) / Corequisite(s): Grade of C or higher in MATH 222.
Course Rotation for Day Program: Offered even Spring.
Text(s): Most current editions of the following:

Complex Variables and Applications
By Brown, James and Churchill, Ruel (McGraw-Hill Publishing)
Fundamentals of Complex Analysis
By Saff, E.B., Snider, A.D. (Prentice Hall)
Course Learning Outcomes
  1. Determine properties of complex numbers and functions of complex variables.
  2. Define and evaluate derivatives of functions of complex variables.
  3. Define and evaluate contour integrals.
  4. Apply theorems and principles of complex analysis.
  5. Apply linear transformations and conformal mappings.
Major Topics/Skills to be Covered:
  • Complex numbers
  • Analytic functions
  • Elementary functions
  • Integrals
  • Series
  • Residues and poles
  • Applications of residues
  • Mapping by elementary functions
  • Conformal mapping

Recommended maximum class size for this course: 20

Library Resources:

Online databases are available at the Columbia College Stafford Library.  You may access them using your CougarTrack login and password when prompted.

Prepared by: Suzanne Tourville Date: October 11, 2016
NOTE: The intention of this master course syllabus is to provide an outline of the contents of this course, as specified by the faculty of Columbia College, regardless of who teaches the course, when it is taught, or where it is taught. Faculty members teaching this course for Columbia College are expected to facilitate learning pursuant to the course learning outcomes and cover the subjects listed in the Major Topics/Skills to be Covered section. However, instructors are also encouraged to cover additional topics of interest so long as those topics are relevant to the course's subject. The master syllabus is, therefore, prescriptive in nature but also allows for a diversity of individual approaches to course material.

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