Math 250: Calculus III (Section 1)

Spring 2012

Tentative Detailed Class Schedule

 

Class #

Date

Topic

1

Jan 27

Intro Class

2

Jan 30

Parametric Equations

3

Jan 31

Arc Length, Velocity, and Speed

4

Feb 1

Area and Arc Length in Polar Coordinates

5

Feb 3

Conic Sections

6

Feb 6

Vectors

7

Feb 7

Vectors

8

Feb 8

Dot Product and the Angle Between Two Vectors

9

Feb 10

The Cross Product

10

Feb 13

Planes in Three-Dimensional Space

11

Feb 14

Quadric Surfaces

12

Feb 15

Cylindrical and Spherical Coordinates

13

Feb 17

Vector-Valued Functions

14

Feb 20

Calculus of Vector-Valued Functions; Tangent Vector

15

Feb 21

Arc Length and Speed

16

Feb 22

Catch-Up Class

17

Feb 24

Test #1

18

Feb 27

Curvature and Normal Vector

19

Feb 28

Motion in Three-Dimensional Space

20

Feb 29

Functions of Several Variables

21

Mar 2

Limits and Continuity of Functions of Several Variables

22

Mar 12

Partial Differentiation

23

Mar 13

Differentiability, Linear Approximations, and Tangent Planes

24

Mar 14

The Gradient and Directional Derivatives

25

Mar 16

The Chain Rule

26

Mar 19

The Chain Rule

27

Mar 20

Optimization in Several Variables

28

Mar 21

Optimization in Several Variables

29

Mar 23

Double Integration

30

Mar 26

Double Integration over General Regions

31

Mar 27

Catch-Up Class

32

Mar 28

Test # 2

33

Mar 30

Double Integration over General Regions

34

Apr 2

Triple Integration

35

Apr 3

Triple Integration

36

Apr 4

Integration in Polar, Cylindrical, and Spherical Coordinates

37

Apr 10

Integration in Polar, Cylindrical, and Spherical Coordinates

38

Apr 11

Change of Variables and the Jacobian

39

Apr 13

Vector Fields

40

Apr 16

Line Integrals

41

Apr 17

Line Integrals

42

Apr 18

Conservative Vector Fields and the Potential

43

Apr 20

Conservative Vector Fields and the Potential

44

Apr 23

Parameterized Surfaces and the Surface Integral

45

Apr 24

Parameterized Surfaces and the Surface Integral

46

Apr 25

Surface Integrals of Vector Fields

47

Apr 27

Green’s Theorem

48

Apr 30

Stokes’ Theorem

49

May 1

Catch-Up Class

50

May 2

Test #3

51

May 4

Stokes’ Theorem

52

May 7

Divergence Theorem

53

May 8

Divergence Theorem

54

May 9

Applications of Fundamental Theorems of Vector Analysis

55

May 11

Catch-Up Class

56

May 14

Review

 

May 18

Final Exam (11 a.m.)