This schedule is tentative, and it will be adjusted as necessary. Homework assignments are due in class each Thursday, unless otherwise noted. The lowest homework grade will be dropped.

Week 1 (Jan 8-10):
• Curves: parametrizations, arc-length (Sections 1-2, 1-3); Read Section 1-4;
• Problem Set 1 (due Th Jan 17): Sect 1.2: # 3, 5; Sect 1.3: # 2, 5, 6, 7; Sect 1.4: # 2, 5, 8, 10; Solutions

Week 2 (Jan 15-17):
• Cuves: local and global properties (Sections 1-5, 1-7);
• Recommended practice problems (do not turn in): Sect 1.5: # 1, 3, 7, 8, 10, 11, 12; Sect 1.6: # 2, 3; Sect 1.7: # 1, 2, 3, 5, 6, 8, 9, 11;
• Problem Set 2 (due Th Jan 24): PS2; Solutions

Week 3 (Jan 22-24):
• Surfaces: regular surfaces, change of parameters (Sections 2-2, 2-3);
• Recommended practice problems: Sect 2.2: # 1, 3, 4, 5, 7, 10, 11, 12, 15, 16, 19; Sect 2.3: # 1, 3, 4, 5, 8, 10, 12, 13, 16;
• Problem Set 3 (due Th Jan 31): PS3 ; Solutions

Week 4 (Jan 29-31):
• Surfaces: tangent plane, differential of a map; the first fundamental form (Sections 2-4, 2-5);
• Recommended practice problems: Sect 2.4: # 1, 2, 3, 4, 6, 7, 10, 11, 12, 13, 15, 18, 21, 22, 26. Sect 2.5: # 1, 4, 5, 6, 7, 8, 11, 12, 14, 15.
• Problem Set 4 (due Th Feb 7): Sect 2.4: # 7, 11, 13, 15, 22. Sect 2.5: # 4, 9, 11, 12, 14; Solutions

Week 5 (Feb 5-7):
• Surfaces: orientations (Section 2-6);
• Midterm: Th Feb 7, in class;
  
Material covered: Sections 1-2-1.5, 1.7 A and B (not C), 2.2-2.5.
• Problem Set 5 (due Th Feb 14): PS5;

Week 6 (Feb 12-14):
• Geometry of the Gauss map (Sections 3-2, 3-3)
• Problem Set 6 (due Th Feb 21): TBA TBA

Week 7 (Feb 19-21):
• Intrinsic geometry of surfaces (Sections 4-2, 4-3);
• Problem Set 7 (due Th Feb 28): TBA TBA

Week 8 (Feb 26-28):
• Parallel transport, geodesics (Sections 4-4);
• Problem Set 8 (due Th Mar 7): TBA TBA

Week 9 (Mar 5-7):
• Gauss-Bonnet Theorem (Section 4-5);
• Problem Set 9 (due Th Mar 14): TBA TBA

Week 10 (Mar 12-14): End of Quarter Period
• TBA