MATH 437 - Differential Forms and Their Applications

Office: Math Building 4104

Lectures: TuTh...... 2:00pm- 3:15pm (MTH 0411)

Office Hours: Wed. 11am-12pm and by appointment

• Syllabus

Prerequisites:
MATH241; and either MATH240 or MATH461.

• Differential Forms and Applications by M. do Carmo (Springer).

• Differential Manifolds (Review of multivariable calculus and Chapter 3)
• Differential Forms (Chapter 1)
• Integration on Manifolds (Chapter 4)
• Differential Geometry of surfaces (Chapter 5)

Homework:
Homework will be assigned typically a week before their due dates. Late homework will not be accepted.
Your solutions are required to be legible and clear. Illegible problems will not be graded.

Assignments:

• Homework 1 Due Feb. 7 (in class) solution
• Homework 2 Due Feb. 14 (in class) solution
• Homework 3 Due Feb. 21 (in class) solution
• Homework 4 Due Feb. 28 (in class) solution
• Homework 5 Due March 13 (in class) solution
• Homework 6 Due March 27 (in class) solution
• Homework 7 Due April 3 (in class)
• Homework 8 Due April 10 (in class) solution
• Homework 9 Due April 24 (in class)
• Homework 10 Due May 1st (in class)

Exams:
The midterm exams will be held during the lecture sessions on the following dates:

• Midterm 1: February 28th
• Midterm 2: April 10th