Suggested Exercises

Section and question numbers labelled AP-EDG are from the textbook Elementary Differential Geometry by Andrew Presley. You do not need to submit any solutions! These are just some suggested problems related to our course topics.

Suggested Exercises 1 from AP-EDG (covering Lecture 1-2): 

• Sec 1.1: 2, 3, 4, 5, 9

• Sec 1.2: 1, 2, 3

• Sec 1.3: 1, 2, 4

• Sec 2.1: 1, 2

Suggested Exercises 2 from AP-EDG (covering Lecture 3-4): 

• Read Sec 2.2 and define signed curvature and signed normal for plane curves

• Sec 2.2: 1, 2, 6 

• Sec 2.3: 1, 2, 3, 4

Suggested Exercises 3 from AP-EDG (covering Lecture 5-6): 

• Sec 4.1: 1, 2

• Sec 4.2: 2, 3, 4

• Sec 4.3: 1

• Sec 4.4: 1, 2

• Sec 4.5: 1

• Sec 6.1: 1ii, 1iv, 2, 3

Suggested Exercises 4 from AP-EDG (covering Lecture 7-8): 

• Sec 6.2: 1

• Sec 6.4: 1, 2

• Sec 7.1: 1, 2

• Sec 7.2: 1

• Sec 8.1: 2

• Sec 8.2: 1

• No question from 10.1 and 10.2

Suggested Exercises 5 (covering Lecture 9-10-11): here.

Suggested Exercises 6 (covering Lecture 12): here.