Last updated May 9, 2005.
FINAL EXAM: Saturday, May 14, 3:005:00 PM in regular classroom.
Review session: Thursday, May 12. 6:00PM, Prescott 205.
In general, every problem on the final will resemble a past homework problem; any homework problem is potential fair game for the final. See past courses for sample final to review.
Note: extra credit can raise your grade at most 1 letter.
Day and Date  Section 
Topics 
Notes 
Homework Problems Assigned 

W, F 
1/19,21 
14.1 
Functions of two or more variables; graphs; level sets.  First Day Announcements  23,25 27, 28,29, 35 
M 
1/24 
14.3 
Meaning of partial derivatives 
Geometric meaning, symbolism, computation  5,6,7,1116(all), 83 
W 
1/26 
14.3 
Computing partial derivatives  Examples; higher derivatives; mixed partials. Ex. 36, 68a  21,23,27,38,45,47,49,51,59,68b,d,f 
F 
1/28 
14.4 
Tangent plane to graph of z = f(x,y)  Differentiability at (a,b) means having a good linear approxiamtion at (a, b). Formula for this linear approximation.  1,3,5,17. Hand in 6. 
M 
1/31 
14.4 
More on linear approximation  differentials  31,33,34,35. 
W 
2/2 
14.5 
Chain Rule, Part I  ...  1,3,5,7,9,11 
F 
2/4 
14.5 
Chain Rule, Part II  Chain rule for higher derivatives. (I wore a tux. If you want to see what I did later that day, click here.  19,21,52b(solved) 
M 
2/7 
... 
Mardi Gras Vacation  
W 
2/7 
... 
Mardi Gras Vacation  
F 
2/11 
14.6 
Directional derivative and gradient  QUIZ (see answers)  3,5,7,9,11,13,15 
M 
2/14 
14.6 
More on gradient. (Ex. 47.) 
21,23,29,33  
W 
2/16 
14.6 
Second chance quiz at 7:15 AM. 
We get a new way to think about tangent lines and tangent planes. This is confusing to many. Be prepared to THINK.  39,41,43,49,57 
F 
2/18 
14.7 
Maxima & minima  Rel. extrema & 2nd deriv. test  1,3,5,7,9,11,13 
M 
2/21 
14.7 
Maxima & minima  Abs. extrema on closed bounded sets  27,29,31 
W 
2/23 
14.8 
Intro. to Lagrange multipliers & Review  See an old test with answers: page 1  page 2  page 3* 
*The inclass part of Friday's test will not include a Lagrande multiplier problem, but there will be a takehome part that does. 
F 
2/26 
 
TEST on Chapter 14  
M 
2/28 
14.8 
Lagrange Multipliers  Takehome test p.977: 53, 61  Extra Credit. p.977: 54, 62, p.979: 8, 9. 
W 
3/2 
15.1&2 
Double integrals and iterated integrals  15.2: 119 odd  
F 
3/4 
15.3 
Double Integrals over General Regions  115 odd  
M 
3/7 
15.3 
Reversing the order of integration  3748 odd  
W 
3/9 
15.4 
Polar coordinates; regions  18 all  
F 
3/11 
15.4 
More on polar regions and change of variable  919 odd  
M 
3/14 
15.7 
Triple Integrals  715 odd, 17, 19, 25 (added; study for exam)  
W 
3/16 
15.7 
Quiz; Triple Integrals  Answers to Quiz  31,33 (added; study for exam) 
F 
3/18 
 
Volume of intersecting pipes  extra credit: page 1040 "Discovery Project"  
 
 
 
***Spring Break ***   
 
M 
3/28 
15.8 
Cylindrical and Spherical Coordinates  Mostly cylindrical  7,9,11 
W 
3/30 
15.8 
Spherical Coordinates  1723 odd  
F 
4/1 
15.9 
Change of Variables  Worked example #12  15.9: 11, 13, 15 Help on 11  Help on 13 & 15 