Dates |
Lectures |
Topics |
4/1 | Lecture 1 | 4.5. Introduction. Fubini's theorem. |
4/3 | Lecture 2 | 4.8. Determinants. |
4/5 | Lecture 3 |
4.8. Determinants.
Homework 1 due. |
4/8 | Lecture 4 | 4.8. Determinants. |
4/10 | Lecture 5 | 4.8. Determinants |
4/12 | Lecture 6 |
4.9 and 5.1. Parallelograms and their volumes
Homework 2 due. |
4/15 | Lecture 7 | 4.10. Change of variables. |
4/17 | Lecture 8 | 5.3. Volumes of manifolds. |
4/19 | Lecture 9 |
5.3. Volumes of manifolds.
Homework 3 due. |
4/22 | Lecture 10 | 6.1. Forms in R^n. |
4/24 | Lecture 11 | 6.1. Forms in R^n. |
4/26 | Lecture 12 |
Midterm 1. |
4/29 | Lecture 13 | 6.2. Form fields and parametrizing domains. |
5/1 | Lecture 14 | 6.2. Form fields and parametrizing domains. |
5/3 | Lecture 15 |
6.3. Orientation of manifolds.
Homework 4 due. |
5/6 | Lecture 16 | 6.3. Orientation of manifolds. |
5/8 | Lecture 17 | 6.4.Integrating forms over oriented manifolds. |
5/10 | Lecture 18 |
6.4. Integrating forms over oriented manifolds.
Homework 5 due. |
5/13 | Lecture 19 | 6.5. Forms and vector calculus. |
5/15 | Lecture 20 | 6.5. Forms and vector calculus. |
5/17 | Lecture 21 |
6.7. Exterior derivatives.
Homework 6 due. |
5/20 | Lecture 22 | 6.8. Grad, curl, div. |
5/22 | Lecture 23 | 6.6. Boundary orientations. |
5/24 | Lecture 24 |
Midterm 2 |
5/27 | Memorial Day | No lecture. |
5/29 | Lecture 25 | 6.9. Generalized Stokes. |
5/31 | Lecture 26 |
6.10. The main theorems of integral vector calculus.
Homework 7 due. |
6/3 | Lecture 27 | 6.10. The main theorems of integral vector calculus. |
6/5 | Lecture 28 | 6.12. Potentials. |
6/7 | Lecture 29 |
Review.
Homework 8 due. |
6/12 | Final Exam. |