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.)