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Anaytic Functions of Complex Variable. Conformal Mappings And Solution of Laplace Equation. Residual Theorem, Principle of Argument, Rouche's Theorem, Evaluation of Definite Integrals. Solution of Pdes Through Separation of Variables. Sturm - Liouville Problem. Solution of Odes With Series Expansion. Legendre Polynomials. Bessel Functions. Learning Outocmes# At The End of The Course The Student Will Be Able To# 1. Investigate The Main Properties of Analytic Functions and Construct Series Expansions. 2. Find Solution of Laplace Equation in 2d With The Help of Analytic Functions and Conformal Mappings. 3. Construct Computation of Intergrals With The Help of Residuals of Analytic Functions. 4. Analyze Ordinary Linear Non-autonomous Differential Equations. 5. Use Bessel Functions and Legendre Polynomials For Various Physical Problems.

Faculty: Mechanical Engineering
|Undergraduate Studies |Graduate Studies

Pre-required courses

(104131 - Ordinary Differential Equations/h and 104228 - Partial Differential Equations/m)

Course with no extra credit

88103 - Applied Math For Aeronautical Engineers1

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