Teacher: Steen
Markvorsen, DTU Compute
Building 303 South
East Wing, First Floor, Room 160
S.Markvorsen@mat.dtu.dk
Teaching assistant:
Jakob Møller-Andersen, s082754@student.dtu.dk
Course Schedule: F2B : Thursdays from 8:00 to 12:00,
first time: Thursday February 7th
Auditorium: Building 306, Auditorium 35
Exercises take place in: Building 302 Area H00NØ (North East Ground
Floor Area)
Course Language: English
Textbook: [P]: Andrew
Pressley, Elementary
Differential Geometry, Second Edition, Springer, 2010
NB: From the marked link you have free access to the full *.pdf version of the
textbook.
The soft covered paper based book is also available from the Polytechnic
Bookstore, DTU.
The book and the full system of numbered exercises are available via the CampusNet file share folder EXERCISES.
|
Week 01 |
Feb. 07 |
[P] Chapter 1: Curves in Plane and in Space |
Exercises: [P]: 1.1.1, 1.1.2, 1.1.6, 1.1.8, 1.2.1, 1.2.2, 1.2.3,
1.2.4, 1.3.1 (selected brief solutions are
also in [P]). Exercises in red are a bit more
theoretically oriented than the others. |
|
Week 02 |
Feb. 14 |
[P] Chapter 2: How much does a Curve curve and twist? |
Exercises: 2.1.1, 2.1.3, 2.2.1, 2.2.15, 2.3.1, 2.3.4, 2.3.9 Hand in Homework Set 01 |
|
Week 03 |
Feb. 21 |
[P] Chapter 4: Surfaces in three Dimensions |
Exercises: 4.1.6, 4.1.4 (first question), 4.1.8, 4.2.3 (optional), 4.2.16, 4.4.1, 4.4.5 Homework (valid for partial credit) for next week: Set 02, see CampusNet |
|
Week 04 |
Feb. 28 |
[P] Chapter 5: Examples of Surfaces |
Exercises: 5.1.1, 5.2.2, 5.3.1, 5.3.2, 5.4.1 Quiz 1 (Valid for credit) |
|
Quiz 1 |
Thursday, Feb. 28 |
Quiz 1 from 8:00 to 8:45 in auditorium 35, Bldg. 306 |
Quiz 1 from 8:00 to 8:45 |
|
Week 05 |
Mar. 07 |
[P] Chapter 6: The First Fundamental Form |
Exercises: 6.1.1, 6.1.7, 6.2.1, 6.2.2 (optional), 6.3.2, 6.4.1 (optional), 6.4.2, 6.4.12 Homework (valid for partial credit) for next week: Set 03, see CampusNet |
|
Week 06 |
Mar. 14 |
[P] Chapter 7: Curvature of Surfaces |
Exercises: 7.1.1, 7.1.2, 7.1.5, 7.2.2, 7.3.2, 7.3.3, 7.3.10, 7.3.11 Hand in Homework Set 03 |
|
Week 07 |
Mar. 21 |
[P] Chapter 8: Curvatures, Mean, Gaussian, and Principal |
Exercises: 8.1.2, 8.1.11, 8.1.1, 8.2.10, 8.5.1, 8.5.2, 8.2.12 Homework (valid for partial credit) for next week: Set 04, see CampusNet |
|
Easter Holidays March 25. – April 1. |
|||
|
Week 08 |
Apr. 04 |
[P] Chapter 9: Geodesics, Shortest Curves |
Exercises: 9.1.3, 9.1.1, 9.1.7, 9.1.13, 9.2.3 (important), 9.3.1 (optional), 9.3.5, 9.3.7, 9.3.8 Quiz 2 (Valid for credit) |
|
Quiz 2 |
Thursday, Apr. 04 |
Quiz 2 from 8:00 to 8:45 in auditorium 33, Bldg. 306 |
Quiz 2 from 8:00 to 8:45 |
|
Week 09 |
Apr. 11 |
[P] Chapter 10: Theorema Egregium, Gauss’ Fantastic Theorem |
Exercises: 10.1.2, 10.1.4, 10.2.1, 10.2.5, 10.2.7, 10.2.10 Homework (valid for partial credit) for April 25. (week 11): Set 05, see CampusNet |
|
Week 10 |
Apr.18 |
[P] Chapter 13: The Gauss-Bonnet Theorem |
Exercises: 13.2.1, 13.2.2, 13.2.3, 13.4.3, 13.4.4, 13.5.4, 13.5.5 (optional) Homework Set 05 for next week: Set 05, see CampusNet |
|
Week 11 |
Apr. 25 |
Quiz 3 and Workshop |
Quiz 3 (Valid for credit) and prepare for project exercise Hand in Homework Set 05 |
|
Quiz 3 |
Thursday, April 25 |
Quiz 3 from 8:00 to 8:45 in auditorium 33, Bldg. 306 |
Quiz 3 from 8:00 to 8:45 |
|
Week 12 |
May 02 |
Work on individually chosen Project-Exercises |
|
|
Holidays May 9. – May 10. 25. |
|||
|
Week 13 |
May 16 |
Work on individually chosen Project-Exercises |
|
|
Exam Period |
May 29 |
Deadline for Project Reports Wednesday, May 29. at 16:00 |