| Lecture | Date | Topic
|
| 1 | Tue 1/27 | Review of integration
in dimension 1, Introduction to multiple integrals
|
| 2 | Thu 1/29 | Double intergrals: Basic
properties
|
| 3 | Tue 2/3 | Double integrals: Fubini's
Theorem and applications
|
| 4 | Thu 2/5 | Double integrals:
Integrable functions and sets of measure zero
|
| 5 | Tue 2/10 | Triple integrals and
beyond
|
| - | Thu 2/12 | No class
(Lincoln's birthday)
|
| 6 | Tue 2/17 | Further applications:
Volume, average value, center of mass
|
| 7 | Thu 2/19 | Geometry of plane
and space transformations
|
| 8 | Tue 2/24 | Change of variables
in dimension 2
|
| 9 | Thu 2/26 | Change of variables
formula in dimension 3, Special coordinates in R3
|
| 10 | Tue 3/3 | Workshop 1
|
| 11 | Thu 3/5 | Midterm 1
|
| 12 | Tue 3/10 | Line integrals:
Introduction
|
| 13 | Thu 3/12 | Line integrals:
Further properties
|
| 14 | Tue 3/17 | Parametrized surfaces
|
| 15 | Thu 3/19 | Surface integrals of
scalar functions
|
| 16 | Tue 3/24 | Surface integrals
of vector fields
|
| 17 | Thu 3/26 | Surface integrals
and curvature
|
| 18 | Tue 3/31 | Green's Theorem
|
| 19 | Thu 4/2 | Workshop 2
|
| 20 | Tue 4/7 | Midterm 2
|
| - | Thu 4/9 | No class (Spring recess)
|
| - | Tue 4/14 | No class (Spring recess)
|
| - | Thu 4/16 | No class (Spring recess)
|
| 21 | Tue 4/21 | Stokes' Theorem:
Statements
|
| 22 | Thu 4/23 | Stokes' Theorem:
Applications
|
| 23 | Tue 4/28 | Conservative fields
|
| 24 | Thu 4/30 | Gauss' Theorem:
Statements
|
| 25 | Tue 5/5 | Gauss' Theorem:
Applications
|
| 26 | Thu 5/7 | Differential forms
|
| 27 | Tue 5/12 | Workshop 3
|
| 28 | Thu 5/14 | Workshop 4
|