Weeks | Topics |
1 |
Basic concepts of functions of complex variable
|
2 |
Limit, Continuity, Bifurcation points and Riemann surfaces, Derivative, Analytic Functions and Cauchy-Riemann equations
|
3 |
Harmonic functions, Line integral
|
4 |
Cauchy theorem, Cauchy’s integral Formula
|
5 |
Locating roots of equations,critical points and Singular points
|
6 |
Power series, Taylor series, Laurent series
|
7 |
Midterm exam
|
8 |
Residue theorem and calculations of residues
|
9 |
Evaluation of integrals by Residue theorem
|
10 |
Evaluation of integrals by Residue theorem
|
11 |
Fourier Series
|
12 |
Fourier Integral Transform and applications
|
13 |
Laplace Integral Transform and applications
|
14 |
Partial Differential Equations
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