110.439 Introduction to Differential Geometry -- Spring 2016

Instructor:

Bernard Shiffman, Krieger 410

Office hours: Mon., Wed., Thu. 3:00-4:00

TA:

Cheng Zhang, czhang67@math.jhu.edu, Krieger 211

Lecture:

TTh 1:30-2:45, Krieger 204

Text:

Millman and Parker,  Elements of Differential Geometry, Pearson, 1977

Prerequisite:

Calculus III, Linear Algebra

Grading:

weekly homework assignments (50%), midterm exam (25%), final exam (25%)

Homework:

Since the purpose of the homework is to gain better understanding of the material, you may discuss the homework with other students, but you must write up the homework solutions on your own. Copying homework from another student or from any other source is a violation of academic integrity. Homework will be assigned each week and will be due the following Tuesday in class. No late homework will be accepted for any reason, including excused absence. Missing or late homework will be given a grade of 0; to allow for one absence or other circumstances, the lowest homework grade will be dropped.

Exam dates:

Midterm: Thursday, Mar. 10, 1:30-2:45.

Final exam: Friday, May 6, 9:00-12:00.

Course policy:

You are expected to attend and actively participate in lecture and section meetings. Check your email regularly; announcements related to the course will be sent to your Hopkins email address. Finally, please silence cell phones and refrain from text messaging or using electronic devices during class. To get the most out of the class, complete the reading before the lecture. Questions are encouraged during class; if there is something you don't understand or are unsure of, speak up!

 

Dean's Statement on Academic Ethics

 

Information for students with disabilities: Any student with a disability who may need accommodations in this class must obtain an accommodation letter from Student Disability Services, 385 Garland, (410)516-4720, studentdisabilityservices@jhu.edu.

 

The following syllabus will be updated as the semester progresses. Be sure to check this page for updates before starting work on any assignment.

 

Week

 Lectures

  Reading

  Assignment

Date Due

1.

Jan. 28

Chapter 1, 2-1, 2-2

Start assignment for week 2.

2.

Feb. 2, 4

2-3, 2-4

Ch. 2: 1.3b, 1.6, 1.7, 2.2, 2,5, 2.8, 3.2, 3.6, 3.7, 4.2, 4.6, 4.7, 4.11, 4.17

Feb. 9

3.

Feb. 9, 11

2-5, 2-6, 3-1, 3-2

Ch. 2: 4.20, 4.24, 4.36, 4.38, 5.3, 6.3, 6.4

Feb. 16

4.

Feb. 16, 18

3-3, 3-4, 5-1

no assignment

5.

Feb. 23, 25

4-1, 4-2

Ch. 4: 1.1, 1.2ad, 1.5, 1.6, 1.9, 1.10, 1.14

Mar. 1

6.

Mar. 1, 3

4-3, 4-4

Ch. 4: 2.3, 3.1, 3.2, 3.4, 3.5, 3.6, 4.2, 4.5, 4.6

Mar. 8

7.

Mar. 8

no assignment

 

Spring Break

 

8.

Mar. 22, 24

4-5,4-6

Ch. 4: 4.7, 4.9, 4.11, 5.4, 5.5, 5.7, 5.9

Mar. 29

9.

Mar. 29, 31

4-7, 4.8

Ch. 4: 6.2, 6.3, 7.2, 7.3, 7.5, 7.7, 8.2, 8.5, 8.9, 8.39

Apr. 5

10.

Apr. 5, 7

4-9, 4-10

Ch. 4: 8.46, 8.49, 8.52, 9.1, 9.3a, 9.4, 10.1, 10.6

Apr. 12

11.

Apr. 12, 14

4-11, 6-1, 6-2

Ch. 4: 11.2, 11.3, 11.4. Ch. 6: 1.2, 2.1, 2.3, 2.4, 2.5

Apr. 19

12.

Apr. 19, 21

6-4, 6-5

Ch. 6: 4.2, 4.3, 5.2, 5.3, 5.5

Apr. 26

13.

Apr. 26, 28

6-6, 6-7

no assignment

 

Last updated 4/21/2016