Avsnittsöversikt

  • 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.