Lecture topics and homework assignments
Date 
Section 
Topics 
Notes 
Homework Problems Assigned 
8/25 
14.1 
Functions of two or more variables; graphs; level sets.  5,30,35  
8/27 
14.3 
Meaning of partial derivatives 
11  15  
8/29 
14.3 
Computing partial derivatives  5,21,13,27,36,45,47,49  
9/3 
14.4 
Tangent plane to graph of z = f(x,y)  1,3,5  
9/5 
14.4 
Linear approximation  Page a, Page b  9,11,13,35,36,37,42 
9/8 
14.5 
Chain rule  1,3,5,7,9,11,19,37,41,48,49  
9/10 
14.6 
Directional derivative, gradient  3,5,7,9,11,13,15,21,23,25  
9/12 
14.6 
Gradient (cont.); tanget lines/planes to level sets  Announced test on Sept. 22  35,37,39,45,55 
9/15 
14.7 
Finding local maxima and minima  3,5,7,9,13,17,19,25  
9/17 
14.8 
Lagrange multipliers  3,5,7  
9/19 
review 
Practice test  Solutionst: 15, 610  
9/22 
ch. 14 
TEST  TEST solutions: p1, p2, p3  
9/24 
15.2 
double integrals, Fubini's theorem, iterated integrals  Retest Monday 9/29, 7PM, Prescott 213.  5,7,9,11,13,15,17,21,25. 
9/26 
15.3 
integrals over general plane regions  5,7,9,13,33,35,37,39,41. Hand in: 36, 42. 

9/29 
15.4 
polar coordinates 
9,11,13,17 

10/1 
15.4 
examples 
no HW assigned 

10/6 
15.5, 15.7 
Moments of mass (in 2dimensions); Triple integrals 
15.5:11,13; 15.7:10,26 

10/8 
15.7 
Examples 
Announced test on 10/22 
29 
10/10 
15.8 
Cylindical and spherical coordinates 
2,4,5,6; 

10/13 
15.8 
Examples 
35 (page 1024) 

10/15 
15.9 
Change of variables (theory) 
no HW assigned 

10/17 
15.9 
Examples  7,9,11,13,15  
10/20 
review 
Practice test  probs 16, probs 78  
10/22 
Ch 15 
TEST  
10/24 
16.1, 16.2 
Vector fields; line integrals w.r.t. a vector field  
10/27 
16.2 
line integrals w.r.t. a scalar field  
10/29 
16.2 
line integrals: examples  16.2: 3,11,17,19,23,31  
10/31 
16.3 
a gradient field is: 1) exact and 2) path independent  16.3: 3,5,9,11  
11/3 
16.3 
pathindependent fields are gradient fields.  16.3: 13,21,23,27,33,34; 

11/5 
16.4 
Green's theorem  16.4: 1,3  
11/7 
16.4 
Green's theorem  
11/10 
Loose ends  
11/12 
Review  
11/14 
Practice quiz 1 2 3 4 5  
11/17 
QUIZ 
Extra Credit (20 pts) 

11/19 
16.5 
Operations on vector fields  16.5: 3,5,9,10,11,12  
11/21 
16.6 
Parametric surfaces; normals  Normals to the sphere  16.6:3,1116,17,19,31,33,39; Hand In 11/24: 21, 29 
11/24 
16.7 
Surface Integrals 

11/26 
16.7 
Examples 

12/1 
16.8 
Divergence Thm. and Stokes Thm. 

12/3 
Review 
Sample Final. Answers: 1a(corrected version), 1b, 2a, 2b, 2c, 3, 4, 56, 78, 9, 10 
TAKE HOME TEST. Due before Fri. Dec 12, 5PM This takehome test consists of the following: P. 1120: 18, 25, 26a+c, 28, 32, 34 