MATH 250: Calculus III, Section 2. Fall 2015
Tentative Detailed Class Schedule
Class # |
Date |
Topic |
1 |
9/2 |
Intro Class; Review |
2 |
9/4 |
Parametric Equations |
3 |
9/8 |
Arc Length, Velocity, and Speed |
4 |
9/9 |
Area and Arc Length in Polar Coordinates |
5 |
9/11 |
Conic Sections |
6 |
9/14 |
Vectors |
7 |
9/15 |
Vectors |
8 |
9/16 |
Dot Product and the Angle Between Two Vectors |
9 |
9/18 |
The Cross Product |
10 |
9/21 |
Planes in Three-Dimensional Space |
11 |
9/22 |
Quadric Surfaces |
12 |
9/23 |
Cylindrical and Spherical Coordinates |
13 |
9/25 |
Vector-Valued Functions |
14 |
9/28 |
Calculus of Vector-Valued Functions; Tangent Vector |
15 |
9/29 |
Arc Length and Speed |
16 |
9/30 |
Catch-up Class |
17 |
10/2 |
Test #1 |
18 |
10/5 |
Curvature and Normal Vector |
19 |
10/6 |
Motion in Three-Dimensional Space |
20 |
10/7 |
Functions of Several Variables |
21 |
10/9 |
Limits and Continuity of Functions of Several Variables |
22 |
10/12 |
Partial Differentiation |
23 |
10/13 |
Differentiability, Linear Approximations, and Tangent
Planes |
24 |
10/14 |
The Gradient and Directional Derivatives |
25 |
10/16 |
The Chain Rule |
26 |
10/19 |
The Chain Rule |
27 |
10/20 |
Optimization in Several Variables |
28 |
10/21 |
Optimization in Several Variables |
29 |
10/26 |
Double Integration |
30 |
10/27 |
Double Integration over General Regions |
31 |
10/28 |
Catch-up Class |
32 |
10/30 |
Test #2 |
33 |
11/2 |
Double Integration over General Regions |
34 |
11/3 |
Triple Integration |
35 |
11/4 |
Triple Integration |
36 |
11/6 |
Integration in Polar, Cylindrical, and Spherical
Coordinates |
37 |
11/9 |
Integration in Polar, Cylindrical, and Spherical
Coordinates |
38 |
11/10 |
Change of Variables and the Jacobian |
39 |
11/11 |
Vector Fields |
40 |
11/13 |
Line Integrals |
41 |
11/16 |
Line Integrals |
42 |
11/17 |
Conservative Vector Fields and the Potential |
43 |
11/18 |
Conservative Vector Fields and the Potential |
44 |
11/20 |
Parameterized Surfaces and the Surface Integral |
45 |
11/23 |
Parameterized Surfaces and the Surface Integral |
46 |
11/24 |
Surface Integrals of Vector Fields |
47 |
11/30 |
GreenŐs Theorem |
48 |
12/1 |
StokesŐ Theorem |
49 |
12/2 |
Catch-up Class |
50 |
12/4 |
Test #3 |
51 |
12/7 |
Stokes' Theorem |
52 |
12/8 |
Divergence Theorem |
53 |
12/9 |
Divergence Theorem |
54 |
12/11 |
Applications of Fundamental Theorems of Vector Analysis |
55 |
12/14 |
Applications of Fundamental Theorems of Vector Analysis |
|
12/16 |
Final Exam (2 p.m.) |