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 Normal Vector (13.4)

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)