Spring 2025
MATH 250: Calculus III, Section 1
Tentative Detailed Class Schedule
|
Class # |
Date |
Topics |
|
1 |
1/31 |
Intro Class; Calculus Mini-Review |
|
2 |
2/3 |
Parametric Equations (11.1); Arc Length and Speed (11.2) |
|
3 |
2/4 |
Area and Arc Length in Polar Coordinates (11.3, 11.4) |
|
4 |
2/5 |
Area and Arc Length in Polar Coordinates (11.3, 11.4) |
|
5 |
2/7 |
Conic Sections (11.5) |
|
6 |
2/10 |
Vectors (12.1, 12.2) |
|
7 |
2/11 |
Vectors (12.1, 12.2) |
|
8 |
2/12 |
Dot Product and the Angle Between Two Vectors (12.3) |
|
9 |
2/14 |
The Cross Product (12.4) |
|
10 |
2/17 |
Planes in Three-Dimensional Space (12.5) |
|
11 |
2/18 |
Quadric Surfaces (12.6) |
|
12 |
2/19 |
Cylindrical and Spherical Coordinates (12.7) |
|
13 |
2/21 |
Vector-Valued Functions (13.1) |
|
14 |
2/24 |
Calculus of Vector-Valued Functions; Tangent Vector (13.2) |
|
15 |
2/25 |
Arc Length and Speed (13.3) |
|
16 |
2/26 |
Curvature and Normal Vector (13.4) |
|
17 |
2/28 |
Motion in Three-Dimensional Space (13.5) |
|
18 |
3/3 |
Functions of Several Variables (14.1) |
|
19 |
3/4 |
Limits and Continuity of Functions of Several Variables (14.2) |
|
20 |
3/5 |
Catch-Up Class |
|
21 |
3/7 |
Test #1 |
|
22 |
3/17 |
Partial Differentiation (14.3) |
|
23 |
3/18 |
Differentiability; Linear Approximations; Tangent Planes (14.4) |
|
24 |
3/19 |
The Gradient and Directional Derivatives (14.5) |
|
25 |
3/21 |
The Chain Rule (14.6) |
|
26 |
3/24 |
The Chain Rule (14.6) |
|
27 |
3/25 |
Optimization in Several Variables (14.7) |
|
28 |
3/26 |
Optimization in Several Variables (14.7) |
|
29 |
3/28 |
Double Integration (15.1) |
|
30 |
3/31 |
Double Integration over General Regions (15.2) |
|
31 |
4/1 |
Double Integration over General Regions (15.2) |
|
32 |
4/2 |
Triple Integration (15.3) |
|
33 |
4/4 |
Triple Integration (15.3) |
|
34 |
4/7 |
Integration in Polar, Cylindrical, and Spherical Coordinates (15.4) |
|
35 |
4/8 |
Integration in Polar, Cylindrical, and Spherical Coordinates (15.4) |
|
36 |
4/9 |
Change of Variables and the Jacobian (15.6) |
|
37 |
4/11 |
Vector Fields (16.1) |
|
38 |
4/14 |
Line Integrals (16.2) |
|
39 |
4/15 |
Line Integrals (16.2) |
|
40 |
4/16 |
Conservative Vector Fields and the Potential (16.3) |
|
41 |
4/22 |
Conservative Vector Fields and the Potential (16.3) |
|
42 |
4/23 |
Catch-Up Class |
|
43 |
4/25 |
Test #2 |
|
44 |
4/28 |
Parameterized Surfaces and the Surface Integral (16.4) |
|
45 |
4/29 |
Parameterized Surfaces and the Surface Integral (16.4) |
|
46 |
4/30 |
Surface Integrals of Vector Fields (16.5) |
|
47 |
5/2 |
Surface Integrals of Vector Fields (16.5) |
|
48 |
5/5 |
Green's Theorem (17.1) |
|
49 |
5/6 |
Green's Theorem (17.1) |
|
50 |
5/7 |
Stokes' Theorem (17.2) |
|
51 |
5/9 |
Stokes' Theorem (17.2) |
|
52 |
5/12 |
Divergence Theorem (17.3) |
|
53 |
5/13 |
Divergence Theorem (17.3) |
|
54 |
5/14 |
Applications of Fundamental Theorems of Vector Analysis |
|
55 |
5/16 |
Catch-Up Class |
|
|
5/23 |
Final Exam (11 - 1:30) |