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(MATH 332) Introduction to Complex Variables

Complex algebra, analytical functions, integration and differentiation in the complex plane, infinite series, the theory of residues, and conformal mappings.

Credit hours 3.0 lecture
Prerequisite MATH 314
Offered Winter-odd years, spring-even years
Programs Mathematics (BS), Mathematics Minor

Course Learning Outcomes

  1. Students will be able to successfully apply trigonometry and algebra to solve complex variable problems.
  2. Students will be able to understand and work with limits, derivatives, integrals, and parametric equations in the context of complex variables.
  3. Students will be able to appropriately use theorems and definitions to solve problems.
  4. Students will be able to appropriately and logically construct basic proofs.
  5. Students will be able to use definitions and new language to express mathematical ideas.
  6. Students will be able to apply major definitions, theorems, and algorithms related to complex variables to solve problems.
  7. Complex variables are typically a part of any graduate mathematics degree program.