21-470 Topics in Analysis: Differential Geometry

Assignments: Week #1

• Reading:
  Monday: Section 1.1.
  Wednesday: Section 1.2.
  Friday: Section 1.3.

  Exercises: Due in class on Wednesday 21 January.

  #1.1.1, 1.2.2.

  #1.1.5, 1.1.11, 1.2.1.

  #1.1.8, 1.2.4.

  Notes:

  1. For problem 1.1.8, think about congruent triangles, and "SOH CAH TOA".
  2. For problem 1.2.1, the text has left out (or assumed) the crucial requirement that h'>0 (or h'<0). Where in your proof does this matter?