Math 136: Complex Variables and Integral Transforms

Homework 2



Read Sections 1.7, 2.1, 2.2, and 2.3 of Saff and Snider.
Don't miss the useful summary at the end of Chapter 2.


Do these problems from Saff and Snider:

  • Sec. 1.5, Powers and Roots: 5d, 11.
    (Think about: 6c, 12.)
  • Sec. 1.7, The Riemann Sphere and Stereographic Projection: 5a, d, e. Sketch the set on the sphere in each case.
  • Sec. 2.1, Functions of a Complex Variable: 1d, 5, 6.
  • Sec. 2.2, Limits and Continuity: 12, 17, 20.
  • Sec. 2.3, Analyticity: 7c, 9c, 10.
    (Think about: 8, 11f, 14 - L'Hopital's Rule.)
  • Bonus: (No points given, but some glory.) Sec. 2.2: 18.


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