01234 Differential Geometry with Applications

Spring Semester F16


Course info

 



Teachers:

 

Steen Markvorsen, DTU Compute
Building 303B, South East Wing, First Floor, Room 160
stema@dtu.dk

 

Matteo Raffaelli

matraf@dtu.dk

 



Course Schedule: F2B: Thursdays from 8:00 to 12:00, first time: Thursday February 4th

Auditorium: Building 306, Auditorium 33

Exercises take place in: Building 306 – Areas: [First Floor East] and [Ground Floor West]


Course language: English and/or Danish

 


Program

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 complete system of numbered exercises is available via the CampusNet file share folder EXERCISES+SOL. (selected brief solutions are also in [P]).

Homework will be announced on CampusNet in the HOMEWORK folder. Homework must be handed in electronically as a *.pdf file uploaded to CampusNet. All homework gives partial credit for your final grade – cf. the course database.

 

Week 01

Feb. 04

[P] Chapter 1: Curves in Plane and in Space

Exercises: 1.1.1, 1.1.2, 1.1.3, 1.2.1, 1.2.2, 1.2.3, 1.3.1


Homework for week 3: Set 01 – will be announced in a *.pdf file on CampusNet in the
[Assignments] folder.

Week 02

Feb. 11

[P] Chapter 2: How much does a Curve curve and twist?

Exercises: 1.1.12, 1.1.15, 2.1.1, 2.1.3, 2.1.4

Week 03

Feb. 18

[P] Chapter 2: More about curves in space.

Hand in Homework Set 01 via upload into the CampusNet folder [Assignments].

 

Exercises: 2.3.1, 2.3.7, 2.3.8, 2.3.9, 2.3.10

Week 04

Feb. 25

[P] Chapter 4 and 5: Surfaces from Curves and Curves on Surfaces.

Quiz 1 (Valid for credit)

 

Exercises: 4.2.3, 4.2.7 (relevant for HW02 problem), 4.2.11

Homework for next week: Set 02.

Quiz 1

Thursday, Feb. 25

Quiz 1 from 8:00 to 8:45 in auditorium 33, Bldg. 306

Quiz 1 from 8:00 to 8:45

Week 05

March 03

[P] Chapter 4, 5, 6: Surfaces from Curves and Curves on Surfaces II

Exercises: 4.4.1, 4.4.5, 5.3.2, 6.1.1

 

Hand in Homework Set 02.

Week 06

March 10

[P] Chapter 6: First fundamental form

Exercises: 6.1.1 (in case you did not get through it last Thursday), 6.1.7, 6.3.2, 6.4.12

 

Homework for next week: Set 03.

Week 07

March 17

[P] Chapter 6: First fundamental form + appetizers by Matteo

Exercises: 6.4.1, 6.4.2, 6.4.8, 6.3.9

 

Hand in Homework Set 03.

Week 08

March 31

[P] Chapter 7: Curvatures of curves on surfaces

Exercises: 7.1.1, 7.1.5, 7.3.9, 7.3.10

 

Quiz 2

Quiz 2

Thursday, March 31

Quiz 2 from 8:00 to 8:45 in auditorium 33, Bldg. 306

Quiz 2 from 8:00 to 8:45

Week 09

Apr. 07

[P] Chapter 7 and 8: Curvatures of surfaces.

Exercises: 8.1.2, 8.1.11, 8.1.1, 8.5.2

 

Hand in Homework Set 04

Week 10

Apr.14

Geometry spotting and more appetizers.

Exercises: Work on HW05

Week 11

Apr. 21

Workshop

Quiz 3

 

Begin project exercise

Quiz 3

Thursday, Apr. 21

Quiz 3 from 8:00 to 8:45 in auditorium 33, Bldg. 306

Quiz 3 from 8:00 to 8:45

Week 12

Apr. 28

Work on individually chosen Project-Exercises

Quiz Extra from 8:00 to 8:45 (only by appointment)

 

Hand in Homework Set 05

Week 13

May 12

Work on individually chosen Project-Exercises

Final plenum meeting 9:00 – 9:30

Exam Period

May 23

Deadline for Project Reports

Monday, May 23. at 17:00

Via upload to CampusNet



 


Further References