Below you can find some suggested problems to prepare yourself for the quizzes. These are optional and only for your benefit, please do not hand in these problems for grading.
There is no make-up for quizzes and exams.
Date | Topics Covered | Remarks |
Sep. 24, 26 | The concept of a curve | |
Sep. 29, Oct. 1, 3 | Local theory of curves, arclength, Frenet frame | |
Sep. 30 | Quiz no. 1 (section meeting) | Suggested problems: 1-2: 2, 4, 5 1-3: 1, 5(a,b) |
Oct. 6, 8, 10 | Isoperimetric Inequality, Whitney's Theorem | |
Oct. 7 | Quiz no. 2 (section meeting) | Suggested problems: 1-5: 1, 8(a) Extra exercises |
Oct. 13, 15, 17 | Surfaces | |
Oct. 14 | Quiz no. 3 (section meeting) | Extra exercises |
Oct. 20, 22, 24 | Smooth functions | |
Oct. 21 | First Midterm |
Suggested problems: 1-5: 5 2-2: 1 Extra exercises |
Oct. 27, 29, 31 | Tangent plane, orientability | |
Oct. 28 | Quiz no. 4 (section meeting) | Suggested problems: 2-3: 1, 3 2-4: 2, 8 Extra exercises |
Nov. 3, 5, 7 | First and second fundamental forms, curvature | |
Nov. 4 | Quiz no. 5 (section meeting) | Suggested problems: 2-4: 7, 10, 11, 15 2-5: 1(a,b) Extra exercises |
Nov. 10, 12, 14 | Gauß Theorema Egregium | |
Nov. 11 | Quiz no. 6 (section meeting) | Suggested problems: 3-2: 2, 3, 4 3-3: 1 Extra exercises |
Nov. 17, 19, 21 | Geodesics | |
Nov. 18 | Second Midterm | Suggested problems: 3-3: 5(a,b,c) Extra exercises |
Nov. 24, 26 | Gauß-Bonnet Theorem, Minimal surfaces | Extra exercises |
Nov. 25 | Quiz no. 7 (section meeting) | |
Nov. 28 | Thanksgiving, no class | |
Dec. 12 | Final Exam, 9:00am-11:00am Lunt 103 | List of formulas to remember
Extra exercises |