Most of the course material for this site is on Blackboard/MOLE, including the course notes, problem sets, hints and solutions, and discussion forums. This site is mostly for hosting the slides from lectures.
- Lecture 1: Housekeeping, complex numbers. Screen Print
- Lecture 2: Triangle Inequality, exp and trig. Screen Print
- Lecture 3: Log, basics of line integrals Screen Print
- Lecture 4: Computing line integrals, types of sets Screen Print
- Lecture 5: More Computing Line Integrals; limits and derivatives Screen Print
- Lecture 6: Another line integral; Cauchy-Riemann Screen
- Lecture 7: Consequences of the Cauchy-Riemann Equations Screen Print
- Lecture 8: Power Series Screen Print
- Lecture 9: Radius of Convergence; Primitives. Guest lecture by Paul Mitchener Slides?
- Lecture 10: ML-inequality, Cauchy's Theorem. Screen Print
- Lecture 11: Consequences of Cauchy's Theorem: path independence Slides Print
- Lecture 12: Cauchy's Integral Formula Slides Print
- Lecture 13: Consequences of Cauchy's Integral Formula Slides Print
- Lecture 14: Taylor Series Slides Print
- Lecture 15: Laurent Series / Classification of Singularities Slides
- Lecture 16: Classifying Singularities and Finding Residues Slides
- Lecture 17: The Residue Theorem Slides Print
- Lecture 18: Real Integrals Slides Print