Fall 2024
MATH 250: Calculus III, Section 2
Tentative Detailed Class Schedule
Class # |
Date |
Topics |
1 |
9/4 |
Intro Class; Calculus Mini-Review |
2 |
9/5 |
Review: Parametric Equations (11.1); Arc Length and Speed
(11.2) |
3 |
9/6 |
Review: Area and Arc Length in Polar Coordinates (11.3,
11.4) |
4 |
9/9 |
Review: Area and Arc Length in Polar Coordinates (11.3,
11.4) |
5 |
9/11 |
Conic Sections (11.5) |
6 |
9/12 |
Vectors (12.1, 12.2) |
7 |
9/13 |
Vectors (12.1, 12.2) |
8 |
9/16 |
Dot Product and the Angle Between Two Vectors (12.3) |
9 |
9/18 |
The Cross Product (12.4) |
10 |
9/19 |
Planes in Three-Dimensional Space (12.5) |
11 |
9/20 |
Quadric Surfaces (12.6) |
12 |
9/23 |
Cylindrical and Spherical Coordinates (12.7) |
13 |
9/25 |
Vector-Valued Functions (13.1) |
14 |
9/26 |
Calculus of Vector-Valued Functions; Tangent Vector
(13.2) |
15 |
9/27 |
Arc Length and Speed (13.3) |
16 |
9/30 |
Curvature and |
17 |
10/2 |
Motion in Three-Dimensional Space (13.5) |
18 |
10/3 |
Functions of Several Variables (14.1) |
19 |
10/4 |
Limits and Continuity of Functions of Several Variables
(14.2) |
20 |
10/7 |
Partial Differentiation (14.3) |
21 |
10/9 |
Differentiability; Linear Approximations; Tangent
Planes (14.4) |
22 |
10/10 |
Catch-Up Class |
23 |
10/11 |
Test #1 |
24 |
10/14 |
The Gradient and Directional Derivatives (14.5) |
25 |
10/16 |
The Chain Rule (14.6) |
26 |
10/17 |
The Chain Rule (14.6) |
27 |
10/18 |
Optimization in Several Variables (14.7) |
28 |
10/21 |
Optimization in Several Variables (14.7) |
29 |
10/23 |
Double Integration (15.1) |
30 |
10/24 |
Double Integration over General Regions (15.2) |
31 |
10/25 |
Double Integration over General Regions (15.2) |
32 |
10/28 |
Triple Integration (15.3) |
33 |
10/30 |
Triple Integration (15.3) |
34 |
10/31 |
Integration in Polar, Cylindrical, and Spherical
Coordinates (15.4) |
35 |
11/1 |
Integration in Polar, Cylindrical, and Spherical
Coordinates (15.4) |
36 |
11/4 |
Change of Variables and the Jacobian (15.6) |
37 |
11/6 |
Vector Fields (16.1) |
38 |
11/7 |
Line Integrals (16.2) |
39 |
11/8 |
Line Integrals (16.2) |
40 |
11/11 |
Conservative Vector Fields and the Potential (16.3) |
41 |
11/13 |
Conservative Vector Fields and the Potential (16.3) |
42 |
11/14 |
Catch-Up Class |
43 |
11/15 |
Test #2 |
44 |
11/18 |
Parameterized Surfaces and the Surface Integral (16.4) |
45 |
11/20 |
Parameterized Surfaces and the Surface Integral (16.4) |
46 |
11/21 |
Surface Integrals of Vector Fields (16.5) |
47 |
11/22 |
Surface Integrals of Vector Fields (16.5) |
48 |
11/25 |
Green's Theorem (17.1) |
49 |
12/2 |
Green's Theorem (17.1) |
50 |
12/4 |
Stokes' Theorem (17.2) |
51 |
12/5 |
Stokes' Theorem (17.2) |
52 |
12/6 |
Divergence Theorem (17.3) |
53 |
12/9 |
Divergence Theorem (17.3) |
54 |
12/11 |
Applications of Fundamental Theorems of Vector Analysis |
55 |
12/12 |
Catch-Up Class |
56 |
12/13 |
Review |
|
12/16 |
Final Exam (2 - 4:30) |