| Week | Topics | Homework | Homework Solutions |
| 1 | Number Systems: real numbers, fields, ordering, complex numbers, vector spaces, metric spaces | Exercises1 | Ex1 Solutions |
| 2 | The complex plane: geometry of complex numbers, polar coordinates, polynomials, rational powers and roots | Exercises2 | Ex2 Solutions |
| 3 | Topology of the plane, connectedness, domains, stereographic projection, sequences, the Bolzano-Weierstrass Theorem, complex functions | Exercises3 | Ex3 Solutions |
| 4 | Continuity, differentiability, Cauchy-Riemann equations, harmonic functions | Exercises4 | Ex4 Solutions |
| 5 | Exponential and trig functions, logarithm, |
Exercises5 | Ex5 Solutions |
| 6 | Power series | Exercises6 | Ex6 Solutions |
| 7 | Complex Integration | Exercises7 | Ex7 Solutions |
| 8 | Midterm | ||
| 9 | The Cauchy Integral Theorem | Exercises9 | Ex9 Solutions |
| 10 | Cauchy Integral Formula
Consequences of the Cauchy Integral Formula |
Exercises10 | Ex10 Solutions |
| 11 | Taylor Series, Laurent's Theorem | Exercises11 | Ex11 Solutions |
| 12 | Singularities and their classification | Exercises12 | Ex12 Solutions |
| 13 | Residue theorem and its applications | Exercises13 | Ex13 Solutions |
| 14 | Further applications | Exercises14 | Ex14 Solutions |