
Date 
Topic 
Book 
HomeworkHmwk 
Practice ProblemsProbs 
Sept. 
11 
Introduction to the Course 
§2.1 

9, 12, 14, 17, 18, 22


12 
Graphing functions of several variables 
§2.2 

6, 10, 20, 27, 37, 39


14 
Limits 
§2.3 

4, 5, 6


18 
Limits and Continuity 
§2.3 

8, 9, 15, 17, 27, 34


19 
Partial Derivatives 
§2.4 

9, 10, 13, 14, 15, 16


21 
Derivatives 
§2.4 
H1 
23, 25, 26, 39, 40


25 
Differentiability 
§2.4 
A1 
46, 67, 68, 69


26 
The Chain Rule 
§2.6 

5, 6, 7, 14, 15, 16


28 
Curves in the plane and in space 
§3.1 
H2 
7, 10, 11, 20, 21, 31

Oct. 
2 
Tangents, Velocity, and Arclength 
§3.2,3.3 
A2 
§3.2:15,17,23,24, §3.3:7,9,11


3 
Gradients 
§4.1 

7,9,11,19,21,31,35


5 
Higher order partial derivatives 
§2.6 
H3 
5, 10, 11, 12, 14, 22


9 
Thanksgiving 

A3 


10 
Divergence and curl 
§4.6 

1—6, 13—16


12 
More about divergence and curl 
§4.6 
H4 
9, 11, 13, 21—25


16 
Identities of vector analysis 
§4.8 
A4 
2, 3


17 
Paths and parameterizations 
§5.1 

11,13,17


19 
Path integrals of real valued functions 
§5.2 
H5 
5,7,15,17,21,23,25


23 
Path integrals of vector valued functions 
§5.3 
A5 
1, 5, 6, 9


24 
Integrals independent of path 
§5.4 

1, 4, 13, 15, 20


26 
Double integrals 
§6.1 
H6 
11, 17, 18


30 
More general regions of integration 
§6.2 
A6 
2, 3, 12, 14, 16, 22


31 
Changing the order of integration 
§6.3 

16—20

Nov. 
2 
Change of Variables 
§6.4 
H7 
1, 2, 22, 32


6 
Triple integrals 
§6.5 
A7 
2, 3, 5, 10, 12, 14


7 
Parameterized surfaces 
§7.1 

2, 3, 7, 13, 14, 15


9 
Surface integrals of real valued functions 
§7.3 
H8 
5, 6, 8, 10


13 
Surface integrals of vector fields 
§7.4 
A8 
7, 8, 9, 16


14 
Multivariable theorems of calculus 




16 
Green's theorem 
§8.1 
H9 
3, 4, 6, 9, 14


20 
Divergence (Gauss') theorem 
§8.2 
A9 
3, 6, 9, 11


21 
Stokes' theorem 
§8.3 

3, 15, 17, 19


23 
Integration Tricks 

H10 


27 
More Integration Tricks 

A10 


28 
Differential Forms 




30 
Review for December exam 

H11 


4 


A11 


5 





7 


H12 


11 


A12 
