Math 563H: Differential Geometry, Spring 2018

Instructor

Weimin Chen, 1323K LGRT, (413) 545-0590, wchen@math.umass.edu

Office hours: Wednesdays 3:30-4:30, Fridays 10-11 or by appointment

Text

Elementary Differential Geometry, by Christian B\"{a}r, Cambridge University Press, 2010.

Tentative Schedule

Chapter 2: Curve theory

Chapter 3: Classical surface theory

Review. Midterm Exam

Chapter 4: The inner geometry of surfaces

Chapter 5: Geometry and analysis

Chapter 6: Geometry and topology

Final Exam Review.

Exam Schedule

Midterm: Tuesday, March 6, 7-9pm, Room: LGRT 204

Final Exam: Thursday, May 3, 10:30-12:30, Room LGRT 145

Course Syllabus

Syllabus

Announcement

Final Exam Review

Midterm Solutions

Midterm Review

Homework 1 (supplementary problems)

Homework 2 (Due Feb. 28, Wednesday)

Homework 3 (supplementary problems)

Homework 4 (supplementary problems)

Homework 5 (supplementary problems)

Homework Assignments

Hw # Assignments Due date
1 Ex. 2.1, 2.10, 2.15, plus supplementary problems. 2/9
2 no exercises from the textbook are assigned, only the supplementary problems. 2/28
3 Ex. 3.17, 3.18, 3.19, plus supplementary problems. 3/21
4 Ex. 4.16, plus supplementary problems. 4/2
5 no exercises from the textbook are assigned, only the supplementary problems. 4/27