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University Program Information

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Program Details

One of the programs offered is Complex Analysis, which includes the following details:

Course Information

• Course code: MATH 3418
• Course name: Complex Analysis
• Credit hours: 3
• Prerequisites: Real Analysis II (MATH 3418)

Course Description

The course covers complex numbers, complex-valued functions, limit of complex-valued functions, continuity, derivatives, Cauchy-Riemann equations, sufficient conditions for differentiability, analytic functions, contours, contour integrals, antiderivatives, Cauchy-Goursat theorem, Cauchy integral formula, Liouville's theorem, convergence of complex sequences and series, Taylor's and Laurent's series, residues, and poles.

Required Textbooks

• Main textbook: Complex Variables and Applications, by R.V. Churchill and J.W. Brown, McGraw-Hill 2003
  • Subsidiary books:
    • Basic Complex Analysis, J.E. Marsden and M.J. Hoffman, 2nd edition, W.H. Freeman and Company, New York, 1987
    • Invitation to Complex Analysis, R.P. Boas and H.P. Boas, 2nd revised edition, Mathematical Association of America 2010

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