| LEC # | TOPICS | READINGS | SUPPLEMENTARY NOTES |
|---|
| L1 | The algebra of complex numbers: the geometry of the complex plane, the spherical representation | Ahlfors, pp.Complex analysis books Advanced complex analysis pdfComplex analysis book with solutionsComplex analysis problems and solutions pdfComplex analysis handwritten notes pdf1-11 and 19-20 | (PDF) |
| L2 | Exponential function and logarithm for a complex argument: the complex exponential and trigonometric functions, dealing with the complex logarithm | (PDF) |
| L3 | Analytic functions; rational functions: the role of the Cauchy-Riemann equations | Ahlfors, pp.
21-32 | (PDF) |
| L4 | Power series: complex power series, uniform convergence | Ahlfors, pp. 33-42 | (PDF) |
| L5 | Exponentials and trigonometric functions | Ahlfors, pp.
42-47 | (PDF) |
| L6 | Conformal maps; linear transformations: analytic functions and elementary geometric properties, conformality and scalar invariance | Ahlfors, pp. 69-80 | (PDF) |
| L7 | Linear transformations (cont.): cross ratio, symmetry, role of circles | Ahlfors, pp.
80-89 | (PDF) |