150A Differential Geometry, Fall 2001
MW 4:40-6:00 HSS 1106A
Th 5:45 Center 201
Instructor: Kate Okikiolu,
Office: AP&M 7426, ext 4-2772,
Office hour: M 3:15-4:15,
e-mail: okikiolu@math.ucsd.edu.
TA: Alan Nash
Office hour: W 3-4.
Text: Differential Geometry of Curves and Surfaces
Manfredo P. D. Carmo, Prentice Hall
Final Exam: Thursday December 6, 3pm-6pm, HSS 1106A.
Final exam questions from previous years,
Solutions,
There are five categories represented in the questions from previous
years. The final exam will have six questions, all in
these five categories.
Realistic Syllabus: Each topic takes just over one week.
1.2, 1.3, 1.4, 1.5. The local theory of curves
2.2. Regular surfaces.
The inverse and implicit function theorems
2.3. Differential functions on surfaces
2.4. The tangent plane and the differential of a map
2.5, 2.6. First fundamental form, area, orientation
3.2. The Gauss map, Gauss and mean curvature
3.3. The Gauss map in coordinates
4.2, 4.3. Isometries and the Gauss Theorem
Homework 8, due Monday December 3:
Do Carmo 4-2, questions 1, 10, Section 4-3, questions 1, 6, 8, 9.
a couple of solutions,
Homework 7, due Monday November 26:
Do Carmo 3-3, questions 1, 5, 13, 14, 15, 21.
Selected lecture notes:
lecture1.pdf,
lecture2.pdf,
lecture3.pdf,
lecture4.pdf,
lecture5.pdf,
lecture6.pdf,
lecture7.pdf,
lecture8.pdf,
lecture9.pdf,
lecture10.pdf,
lecture11.pdf,
lecture12.pdf,
lecture13.pdf,
lecture14.pdf,
lecture15.pdf,
lecture16.pdf,
lecture17.pdf,
lecture18.pdf,
Previous Homework:
homework 1,
homework 2,
homework 3,
homework 4,
homework 5,
homework solutions .
homework 6,
solutions.
Previous Exams:
Midterm 1 on Wednesday October 17, covered homeworks 1, 2 and 3.
practice midterm 1,
solutions,
Midterm 2 on Wednesday November 14,
covered homeworks 4, 5 and 6.
practice midterm 2,
solutions,