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Mathematical Physics (2)

Course Description: Complex Numbers; Analytic Functions - Limits and Continuity - Cauchy-Riemann Equations; Elementary Functions; Integration of Complex Functions - Contour Integration - Independence of Path - Cauchy's Integral Theorem - Bounds of Analytic Functions; Series Representation of Analytic Functions, Residue Theorem; Conformal Mapping - Invariance of Laplace's Equation - Geometric Considerations - Linear Fractional Transformations - Schwarz-Christoffel Transformation.
Credit hours: 3
Prerequisites: PHYS203
Objectives of the course :

Provide the student with a mathematical background that includes methods of complex numbers in solving some physics problems.

Course outputs :

At the end of the course, the student should be able to do the following:
1-Solving physics problems using complex analysis.
2. Providing explanations and meanings of analytic functions and elementary functions (explaining the meanings of the Cauchy-Riemann equations, Cauchy-Goursat theorem, existence of branches for the logarithmic function, and other functions).
3- Understanding and Comprehending How to Use Contour Integration to Calculate Real Integrals and Apply the Residue Theorem

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  • Last updated: 2026-04-19

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