Fall 2025
MATH 250: Calculus III, Sections 1 and 2
Tentative Detailed Class Schedule
|
Class # |
Date |
Topics |
|
1 |
9/3 |
Intro Class; Calculus Mini-Review |
|
2 |
9/5 |
Parametric Equations (12.1); Arc Length and Speed (12.2) |
|
3 |
9/8 |
Polar Coordinates (12.3) |
|
4 |
9/9 |
Area and Arc Length in Polar Coordinates (12.4) |
|
5 |
9/10 |
Conic Sections (12.5) |
|
6 |
9/12 |
Vectors (13.1, 13.2) |
|
7 |
9/15 |
Vectors (13.1, 13.2) |
|
8 |
9/16 |
Dot Product and the Angle Between Two Vectors (13.3) |
|
9 |
9/17 |
The Cross Product (13.4) |
|
10 |
9/19 |
Planes in Three-Dimensional Space (13.5) |
|
11 |
9/22 |
Quadric Surfaces (13.6) |
|
12 |
9/23 |
Cylindrical and Spherical Coordinates (13.7) |
|
13 |
9/24 |
Vector-Valued Functions (14.1) |
|
14 |
9/26 |
Calculus of Vector-Valued Functions; Tangent Vector
(14.2) |
|
15 |
9/29 |
Arc Length and Speed (14.3) |
|
16 |
9/30 |
Curvature and Normal Vector (14.4) |
|
17 |
10/1 |
Motion in Three-Dimensional Space (14.5) |
|
18 |
10/3 |
Functions of Several Variables (15.1) |
|
19 |
10/6 |
Limits and Continuity of Functions of Several Variables
(15.2) |
|
20 |
10/7 |
Partial Differentiation (15.3) |
|
21 |
10/8 |
Catch-Up Class |
|
22 |
10/10 |
Test #1 |
|
23 |
10/13 |
Differentiability; Linear Approximations; Tangent Planes
(15.4) |
|
24 |
10/14 |
The Gradient and Directional Derivatives (15.5) |
|
25 |
10/15 |
The Chain Rule (15.6) |
|
26 |
10/17 |
The Chain Rule (15.6) |
|
27 |
10/20 |
Optimization in Several Variables (15.7) |
|
28 |
10/21 |
Optimization in Several Variables (15.7) |
|
29 |
10/22 |
Double Integration (16.1) |
|
30 |
10/24 |
Double Integration over General Regions (16.2) |
|
31 |
10/27 |
Double Integration over General Regions (16.2) |
|
32 |
10/28 |
Triple Integration (16.3) |
|
33 |
10/29 |
Triple Integration (16.3) |
|
34 |
10/31 |
Integration in Polar, Cylindrical, and Spherical
Coordinates (16.4) |
|
35 |
11/3 |
Integration in Polar, Cylindrical, and Spherical
Coordinates (16.4) |
|
36 |
11/4 |
Change of Variables and the Jacobian (16.6) |
|
37 |
11/5 |
Vector Fields (17.1) |
|
38 |
11/7 |
Line Integrals (17.2) |
|
39 |
11/10 |
Line Integrals (17.2) |
|
40 |
11/11 |
Conservative Vector Fields and the Potential (17.3) |
|
41 |
11/12 |
Catch-Up Class |
|
42 |
11/14 |
Test #2 |
|
43 |
11/17 |
Conservative Vector Fields and the Potential (17.3) |
|
44 |
11/18 |
Parameterized Surfaces and the Surface Integral (17.4) |
|
45 |
11/19 |
Parameterized Surfaces and the Surface Integral (17.4) |
|
46 |
11/21 |
Surface Integrals of Vector Fields (17.5) |
|
47 |
11/24 |
Surface Integrals of Vector Fields (17.5) |
|
48 |
11/15 |
Green's Theorem (18.1) |
|
49 |
12/1 |
Green's Theorem (18.1) |
|
50 |
12/2 |
Stokes' Theorem (18.2) |
|
51 |
12/3 |
Stokes' Theorem (18.2) |
|
52 |
12/5 |
Stokes' Theorem (18.2) |
|
53 |
12/8 |
Divergence Theorem (18.3) |
|
54 |
12/9 |
Divergence Theorem (18.3) |
|
55 |
12/10 |
Applications of Fundamental
Theorems of Vector Analysis |
|
56 |
12/12 |
Catch-Up Class |
|
|
12/19 |
Final Exam (11 - 1:30 for Section 2; 2 - 4:30 for Section 1) |