Complex analysis course outline

  • What are the objectives of complex integration?

    The objectives are to: Investigations of theorems in Complex Integrals to include Cauchy theorem, Gauss, mean value theorem, Liouville's theorem, Maximum Modulus theorem and Blasius Theorems.
    Examinations of some application of Complex Integral..

  • Course Description: Complex Variables.
    Description: The course covers the basic principles (both theory and applications) of differentiable complex-valued functions of a single complex variable.
Course Learning Outcomes. 1. Demonstrate understanding of the basic concepts underlying complex analyis. 2. Demonstrate familiarity with a range of examples of 

What is a complex analysis course?

Course outline

The course is a rigorous introduction to Complex Analysis, one of the most exciting fields of modern Mathematics

We will begin with a review of Complex numbers and their Geometric and Algebraic properties

What topics will be covered in a complex math class?

We will also cover complex numbers and their properties, analytic functions and the Cauchy-Riemann equations, the logarithm and other elementary functions of a complex variable, integration of complex functions, the Cauchy integral theorem, the residue theorem, and applications to definite integrals


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