Section outline
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Material:
- complex numbers and how to multiply them
- polar coordinates
- review of power series
- exponential function
- domains (connected open sets)
- point at infinity, Riemann sphere, a.k.a extended complex numbers
Suggested reading and exercises:
Please complete the quiz! It closes on September 10.
Read sections 1.1 - 1.7 in the course book. The following exercises from the book are suggested:
- 1.1: 10, 25.
- 1.2: 7, 16.
- 1.3: 7(b, d, f, g, h), 13, 17.
- 1.4: 12.
- 1.5: 5, 7(b), 10.
- 1.6: 2, 3, 4, 5, 6, 7, 8, 11, 16, 17.