| Lecture | Date | Topic
|
| 1 | Tue 1/30 | Review of integration
in dimension 1, Introduction to multiple integrals
|
| 2 | Thu 2/1 | Double intergrals: Basic
properties
|
| 3 | Tue 2/6 | Double integrals: Fubini's
Theorem and applications
|
| 4 | Thu 2/8 | Double integrals:
Integrable functions and sets of measure zero
|
| 5 | Tue 2/13 | Triple integrals and
beyond
|
| - | Thu 2/15 | No class
(Monday schedule)
|
| 6 | Tue 2/20 | Further applications:
Volume, average value, center of mass
|
| 7 | Thu 2/22 | Geometry of plane
and space transformations
|
| 8 | Tue 2/27 | Change of variables
in dimension 2
|
| 9 | Thu 3/1 | Change of variables
formula in dimension 3, Special coordinates in R3
|
| 10 | Tue 3/6 | Workshop 1
|
| - | Thu 3/8 | Midterm 1
|
| 11 | Tue 3/13 | Line integrals:
Introduction
|
| 12 | Thu 3/15 | Line integrals:
Further properties
|
| 13 | Tue 3/20 | Parametrized surfaces
|
| 14 | Thu 3/22 | Surface integrals of
scalar functions
|
| 15 | Tue 3/27 | Surface integrals
of vector fields
|
| 16 | Thu 3/29 | Surface integrals
and curvature
|
| - | Tue 4/3 | No class (Spring recess)
|
| - | Thu 4/5 | No class (Spring recess)
|
| - | Tue 4/10 | No class (Spring recess)
|
| 17 | Thu 4/12 | Workshop 2
|
| - | Tue 4/17 | Midterm 2
|
| 18 | Thu 4/19 | Green's Theorem
|
| 19 | Tue 4/24 | Stokes' Theorem:
Statements
|
| 20 | Thu 4/26 | Stokes' Theorem:
Applications
|
| 21 | Tue 5/1 | Conservative fields
|
| 22 | Thu 5/3 | Gauss' Theorem:
Statements
|
| 23 | Tue 5/8 | Gauss' Theorem:
Applications
|
| 24 | Thu 5/10 | Differential forms
|
| 25 | Tue 5/15 | Workshop 3
|
| 26 | Thu 5/17 | Workshop 4
|