Department of Mathematics, Louisiana State University, Baton Rouge

Math 2057 Calculus III

Spring 2005 Section 1

Last updated May 9, 2005.

Professor James J. Madden

IMPORTANT INFORMATION!

FINAL EXAM: Saturday, May 14, 3:00-5:00 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.

Assignments in Chapter 16:

Take-home assignment (counts as 30-point quiz), due May 11, 2005:

Optional Extra Credit work, due May 11, 2005.

Note: extra credit can raise your grade at most 1 letter.


See past versions of this course: Fall 2003, Spring 2004.

Lecture topics and homework assignments.

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 5,6,7,11--16(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.
More on gradient. (Ex. 53 and 58.)

 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 in-class part of Friday's test will not include a Lagrande multiplier problem, but there will be a take-home part that does.
F
2/26
---
 TEST on Chapter 14    
M
2/28
14.8
 Lagrange Multipliers Take-home 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: 1-19 odd
F
3/4
15.3
 Double Integrals over General Regions   1-15 odd
M
3/7
15.3
 Reversing the order of integration   37-48 odd
W
3/9
15.4
 Polar coordinates; regions   1-8 all
F
3/11
15.4
 More on polar regions and change of variable   9-19 odd
M
3/14
15.7
 Triple Integrals   7-15 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
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 Volume of intersecting pipes   extra credit: page 1040 "Discovery Project"
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 ***Spring Break ***
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M
3/28
15.8
 Cylindrical and Spherical Coordinates Mostly cylindrical 7,9,11
W
3/30
15.8
 Spherical Coordinates   17-23 odd
F
4/1
15.9
 Change of Variables Worked example #12 15.9: 11, 13, 15 Help on 11 | Help on 13 & 15