Lecture # 
Topic

1 
 Overview
of the course.
 Begin Section 9.1: Cartesian Coordinates in space

2 
 Begin
Section 9.2: Vectors

3 
 Review
of discussion on Vectors, with a number of worked example problems.
 Begin
Section 9.3:
The Dot Product

4 
 Continue
discussion of the Dot Product, with examples

5 
 Brief
review of the Dot Product.
 Begin discussion
of Section 9.4:
The Cross
Product

6 
 Brief
review of the Cross Product.
 Begin Section 9.5: Equations of Lines
and Planes

7 
 Continue
with discussion of equations of lines and planes, with worked examples

8 
 Finish
working examples on lines and planes.
 Begin Section 10.1:
Vector Functions and Space Curves

9 
 Finish
space curves.
 Begin Section 10.2: Derivatives and Integrals of Vector
Functions

10 
 Finish
discussion of section 10.2.
 Begin Section 10.3: Arc Length and Curvature

11 
 Finish
10.3
 Begin Section 10.4: Motion in Space

12 
 Covers
Section 9.6: Functions and surfaces, and
 Section 11.1: Functions
of several
variables

13 
 Covers
Section 11.1: level curves of f(x,y)and
level surfaces of f(x,y,z)

14 
 Review
day for Test #1
 Test
#1 covers lectures 1  11, with lecture 14 the “review
day” for test #1. On this test I am not testing section 9.6 or
11.1 which are covered in lectures 12 and 13.

15 
 Covers Section 11.2:
Limits and continuity of f(x,y) and f(x,y,z)

16 
 Covers Section 11.3:
partial derivatives

17 
 Begin Section 11.4:
differentiability of f(x,y) and f(x,y,z)

18 

19 
 Covers Section 11.5:
The Chain Rule  Mentions a pdf for distance
ed students that is on Norris’ web page  problem 9, page
788 (third edition).
 Begin 11.6:
Directional derivatives and the gradient vector.

20 
 Continues discussion
of section 11.6 on Directional derivatives

21 
 Finishes discussion
of 11.6
 Begins 11.7: optimization

22 
 Finishes
Section 11.7 on optimization

23 
 Mentions test 2
will be on 11.1  11.7, although additional material will be covered
before the
test. Covers absolute max and absolute min.
 Last 7 minutes begins
Section 12.1: Double
Integrals over Rectangles

24 
 Finish 12.1
 Begin 12.2: Iterated integrals

25 
 Finish discussion
of 12.2

26 
 Review day for test
#2
 Test
#2 will cover the material in sections 9.6, and 11.1  11.7.
That material is covered
in lectures 12, 13,
1523, and Lecture #26 = ”Review
day for test #2”.

27 
 Begin Section
12.3: Double Integrals over general regions

28 

29 
 Finish Section
12.3.
 Begin Section 12.4:
Double integrals in polar coordinates

30 
 Continue with
double integrals in polar coordinates.

31 
 Finish 12.4.
Discuss 12.5 : Applications of double integrals

32 
 Begin Section
12.7: Triple integrals in Cartesian coordinates

33 

34 
 Finish examples
from Section 12.7.
 Begin Section 9.7: Cylindrical
coordinates
and
 Section 12.8: Triple
integrals in cylindrical coordinates

35 
 Finish examples
in cyclindrical coordinates.
 Continue
with Section 9.7: Spherical
coordinates and
 Continue
with Section 12.8: Triple
integrals in spherical coordinates

36 
 Finish up discussion
of triple integrals in spherical coordinates: do three example problems.
 Begin (briefly)
Section 13.1: Vector Fields

37 
 Finish 13.1
on vector fields and conservative vector fields.
 Begin 13.2:
Line integrals.

38 
 Continue with
13.2: Line integrals of functions
along parameterized curves.

39 
 Finish 13.2:
Line integrals of vector fields along parameterized
curves; The defintion of the work done by a force.

40 
 Review day
for Test #3:
 Test #3 will cover the material in all sections of chapter 12 except
section 12.6 (which will be covered later). This material is covered
in DVD Lectures #24  #36. Lecture #40 is the Review day for Test #3.

41 
 Begin Section
13.3: The fundamental theorem for Line Integrals

42 
 Continue with
section 13.3  includes a number of worked example problems

43 
 Finish Section
13.3. Show how Newton’s second law combined with conservative
forces leads to the law of conservation of total energy.
 Begin 13.4:
Green’s
Theorem

44 
 Finish Section
13.4  Green’s Theorem.
 Begin section 13.5: Divergence
and Curl

45 
 Finish Section
13.5 on Divergence and Curl.
 Begin Section 10.5:
Parametric Surfaces  BEGIN MAPLE ASSIGNMENT #4

46 
 Finish discussion
of Section 10.5 on parametric surfaces.
 Begin study of “tangent
planes to parametrized surfaces” (Pg 787788).

47 
 Review discussion
of “tangent planes to parametrized surfaces” (Pg 787788)
 Begin
Section 12.6: Surface area
of Parameterized Surfaces

48 
 Finish discussion
of surface area (Section 12.6).
 Begin several day
study of Section 13.6: Surface Integrals

49 
 Continue with
Section 13.6. Finish “surface integral
of a function”
 Begin “surface
integral of a vector field”. NOTE:
A slide with the title “Line integral of Vector Fields” in
this lecture. The title of that slide should be “Surface
Integral of Vector fields”.

50 
 Review day
for Test #4. Contains a number of worked examples.
 Test #4 will cover the material in all sections
of chapter 13 except sections 13.7 and 13.8 (which will be covered
later). Morever, the test
includes the materials in section 10.5 (Parameterized surfaces), pg.
787788 (tangent planes to parameterized surfaces) and secton 12.6 (surface
area of paramterized surfaces). This material is covered in DVD Lectures
#37  #49 (exclude #40). Lecture #50 is the Review day for Test #4.

51 
 Begin Section
13.7: Stoke’s Theorem

52 
 Finish discussion
of Section 13.7  Stokes' Theorem.
 Begin discussion
of Section 13.8: The Divergence Theorem

53 
 Finish Section
13.8  The Divergence Theorem of Guass.

54 
 Semester Review Day:
Questions and answers with worked example problems

55 
 Semester Review
Day: Questions and answers with worked example problems
