People Innovation Excellence

COMPLEX VARIABLE FUNCTION (4 Credits)

Learning Outcomes:

On successful completion of this course, student will be able to: Explain basic properties of complex numbers system; Explain calculus of complex variables, such as functions, limits, continuity and differentiations; Explain elementary, analytic and harmonic functions with their properties;Solve complex integrals by choosing suitable formulas; Analyze convergence of series of complex numbers; Interpret mappings by elementary functions geometrically.

Topics:

  1. The Complex Numbers System;
  2. Complex Elementary Functions;
  3. Complex Limits and Continuity;
  4. Complex Differentiations;
  5. Complex Integrals;
  6. Series of Complex Numbers;
  7. Residues and Poles;
  8. Applications of Residues;
  9. Mapping by Elementary Functions.

 


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