Section outline
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Material:
- simply connected domains
- review of Green's theorem
- integral over a path in the complex plane
- Cauchy's Integral Theorem
- homotopy
Suggested reading and exercises:
Read sections 4.1 - 4.4 in the course book, and have a look at the following exercises:
- 4.1: 1, 4, 8
- 4.2: 3(b, c), 6(a), 7, 9, 13, 14(b, c)
- 4.3: 5, 6
- 4.4: 3, 5, 9, 10(b, d)
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Martin Tamm's video from a previous version of the course details some aspects of the proof of Cauchy's theorem (subdivisions of triangles, homotopy).
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MM5022 Lecture 04 File
- simply connected domains