| Weeks |
Dates |
Sections |
Lecture
Notes |
1
|
Aug 24 |
Section 1.1 |
Vectors
in two- and three-dimensional space |
Aug 26
|
Section 1.2 |
The
inner product, length, and distance
|
2
|
Aug 29
|
Section 1.3 |
Matrices,
determinants, and the cross product
|
Aug 31
|
Section 1.4
|
Cylindrical
and spherical coordinates
|
Sep 2
|
Section 1.5 |
n-dimensional
Euclidean space |
3
|
Sep 7
|
Section 2.1
|
The
geometry of real-valued functions
|
| Sep 9
|
Section 2.2
|
Limits
and continuity + Examples
|
4
|
Sep 12
|
Section 2.3
|
Differentiation
|
| Sep 14
|
Section 2.4
|
Introduction
to paths
|
| Sep 16
|
Section 2.5
|
Properties
of the derivative
|
5
|
Sep 19
|
Section 2.6
|
Gradients
and directional derivatives
|
| Sep 21
|
Section 3.1
|
Iterated
partial derivatives
|
| Sep 23 |
Sections
1.1-1.5, 2.1-2.6
|
MIDTERM 1 |
6
|
Sep 26 |
Section 3.2
|
Taylor's
theorem + Introduction
|
| Sep 28
|
Section 3.3
|
Extrema
of real-valued functions
|
| Sep 30 |
7
|
Oct 3
|
Section 3.4
|
Constrained
extrema and Lagrange multipliers
|
| Oct 5
|
Section 3.5
|
The
implicit function theorem
|
| Oct 7
|
Section 4.1
|
Acceleration
and Newton's Second Law
|
8
|
Oct 10
|
Section 4.2
|
Arc
length
|
| Oct 12
|
Section 4.3
|
Vector
fields
|
| Oct 14
|
Section 4.4
|
Divergence
and curl 1, 2
|
9
|
Oct 17
|
Section 5.1
|
Introduction
|
| Oct 19
|
Section 5.2
|
The
double integral over a rectangle
|
| Oct 21
|
Section 5.3
|
The
double integral over more general regions
|
10
|
Oct 24
|
Section 5.4
|
Changing
the order of integration
|
| Oct 26
|
Section 5.5
|
The
triple integral
|
| Oct 28
|
Section 6.1
|
The
geometry of maps
|
11
|
Oct 31
|
Section 6.2
|
The
change of variables theorem
|
| Nov 2
|
Section 6.3
|
Applications
of double, triple integrals
|
| Nov 4 |
Sections
3.1-3.5, 4.1-4.4, 5.1-5.5
|
MIDTERM 2 |
12
|
Nov 7, 9,
11
|
Section 7.1
|
The
path integral 1, 2
|
Section 7.2
|
Line
integrals
|
13
|
Nov 14
|
Section 7.3
|
Parametrized
surfaces
|
| Nov 16
|
Section 7.4
|
Area
of a surface
|
| Nov 18
|
Section 7.5
|
Integrals
of scalar functions over surfaces
|
14
|
Nov 21
|
Section 7.6
|
Surface
integrals of vector functions
|
| Nov 23-26 |
Thanksgiving
holidays |
15
|
Nov 28
|
Section 8.1
|
Green's
theorem 1, 2
|
| Nov 30
|
Section 8.2
|
Stokes’
theorem 1, 2
|
| Dec 2
|
Section 8.3
|
Conservative
fields
|
16
|
Dec 5
|
Section 8.4
|
Gauss’
theorem 1, 2
|
17
|
Dec
13 (Tue) 9:00-12:00
|
Cumulative
|
FINAL EXAM
|