Welcome to Math 261

Calculus III

Fall 2008


Tutor List

Important Information

Course Information

Homework and Quizzes

Homework will not be graded. There will be 12 quizzes, each worth 10 points. All 12 scores will be added and the overall quiz score will be 1) the total of the scores if it is less than 100 or 2) 100 if the total of the scores exceeds 100. NO MAKEUP IS ALLOWED. The quizzes will be given on the weeks when there are no exams. Most often a quiz will be on Wednesday, but there may be adjustments for separate sections.


Note: Free tutoring is available from the College of Natural Sciences tutorial hall in Ingersoll Hall Basement. Times are: Sunday-Thursday, 5-10.

Class Schedule

Week 1

Monday, Aug 25
10.1 Conic Sections #5-8,11,23,31,39,41,43
Tuesday, Aug 26
12.1 Three Dimensional Coordinate System #3,9,15,23,27,31,37,41,47,51; 12.2 Vectors #5,11,13,19,21
Wednesday, Aug 27
12.2 Vectors #29,31,33,37,39,43,47
Friday, Aug 29
12.3 The Dot Product #3,7,16,19,(Read 21-26),27,31,(Read 33-34),37,41,43,49,53; Quiz 1 Answers

Week 2

Tuesday, Sept 2
12.4 The Cross Product #7,13,17,21,23,29,37,41
12.5 Lines and Planes in Space #1,5,9,17,19
Wednesday, Sept 3
12.5 Lines and Planes in Space #23,25,29,35,37,45,47,49,55,57,59,61; Quiz 2 Answers
Friday, Sept 5
12.6 Cylinders and Quadric Surfaces #1-12,17,19,23,29,31,39,47,55,69

Week 3

Monday, Sept 8
13.1 Vector Functions #7,13,15,19,25,29,33,39,41,(Read 43-63)
Tuesday, Sept 9
13.3 Arc Length and the Unit Tangent Vector #5,9,11,13,15
Wednesday, Sept 10
13.4 Curvature and the Unit Normal Vector #5,7,9,13,19; Quiz 3 Answers
Friday, Sept 12
13.5 The Unit Binormal Vector #5,7,13,15,23,(Read 25-28)

Week 4

Monday, Sept 15
14.1 Functions of Several Variables #5,7,9,11,13-18,27,29,37,41
Tuesday, Sept 16
14.2 Limits and Continuity in Higher Dimensions #9,13,15,19,35,41; Alt Req for Exam1
Wednesday, Sept 17
Review; Exam 1 Spring 2008 Answers
Thursday, Sept 18
Exam 1 Answers

Week 5

Monday, Sept 22
14.3 Partial Derivatives #5,11,17,25,31,37,45
Tuesday, Sept 23
14.3 Partial Derivatives #49,57,59,63
Wednesday, Sept 24
14.4 The Chain Rule #5,7,9,11,21,23,27,31; Quiz 4 Answers
Friday, Sept 26
14.4 The Chain Rule #35,37

Week 6

Monday, Sept 29
14.5 Directional Derivatives #3,7,9,11,15,19,21,23,27
Tuesday, Sept 30
14.6 Tangent Planes and Differentials #5,9,15,19,21,27,29,35
Wednesday, Oct 1
14.7 Extrem Values and Saddle Points #13,17,19; Quiz 5 Answers
Friday, Oct 3
14.7 Extreme Values and Saddle Points #21,25,29

Week 7

Monday, Oct 6
14.8 Lagrange Multipliers #7,9,15
Tuesday, Oct 7
14.8 Lagrange Multipliers #21,23,27;
14.10 Taylor's Formula (Quadratic only, #3,7)
Wednesday, Oct 8
15.1 Double Integrals #7,9; Quiz 6 Answers
Friday, Oct 10
15.1 Double Integrals #15,17,23,37,43,47

Week 8

Monday, Oct 13
15.2 Areas, Moments, and Center of Mass #5,7,11,13
Tuesday, Oct 14
15.2 Areas, Moments, and Center of Mass #19,23,(35 center of mass only); Alt Req for Exam2
Wednesday, Oct 15
Review; Exam 2 Spring 2008 Answers
Thursday, Oct 16
Exam 2 Answers

Week 9

Monday, Oct 20
15.3 Double Integrals in Polar Form #11,13,19,21,25; NOTE: Last Day to W Drop
Tuesday, Oct 21
15.4 Triple Integrals in Rectangular Coordinates #5,15,17
Wednesday, Oct 22
15.4 Triple Integrals in Rectangular Coordinates #23,29,35,43; Quiz 7 Answers
Friday, Oct 24
15.5 Masses and Moments in Three Dimensions #7a,13

Week 10

Monday, Oct 27
15.6 Triple Integrals in Cylindrical and Spherical Coordinates #5,9,11,15,17
Tuesday, Oct 28
15.6 Triple Integrals in Cylindrical and Spherical Coordinates #25,29,37,43,51,55,57
Wednesday, Oct 29
15.7 Substitutions in Multiple Integrals #3a,7,11; Quiz 8 Answers
Friday, Oct 31
15.7 Substitution in Multiple Integrals #15,21

Week 11

Monday, Nov 3
16.1 Line Integrals #3,7,11,13,19,21; Formulas
Tuesday, Nov 4
16.2 Vector Fields, Work, Circulation, and Flux #5,9,11,15,19
Wednesday, Nov 5
16.2 Vector Fields, Work, Circulation and Flux #27,39; Quiz 9 Answers
Friday, Nov 7
16.3 Path Independence, Potential Functions, and Conservative Fields #5,9,13,17

Week 12

Monday, Nov 10
16.3 Path Independence, Potential Functions, and Conservative Fields #19,21,25,27,31
Tuesday, Nov 11
Review; Alt Req for Exam3
Wednesday, Nov 12
Review; Exam 3 Spring 2008 Answers
Thursday, Nov 13
Exam 3 Answers

Week 13

Monday, Nov 17
16.4 Green's Theorem in the Plane #5,11,15
Tuesday, Nov 18
16.4 Green's Theorem in the Plane #17,23
Wednesday, Nov 19
16.6 Parameterized Surfaces #5,7,11; Quiz 10 Answers
Friday, Nov 21
16.6 Parameterized Surfaces #19,23,27,33,39

Week 14

Monday, Dec 1
16.5 Surface Areas and Surface Integrals(do problems as in 16.6) #5,9,11,17;
Tuesday, Dec 2
16.7 Stokes' Theorem #3,5,9; Quiz 11 Answers
Wednesday, Dec 3
16.7 Stokes' Theorem #13,15;
Friday, Dec 5
16.8 The Divergence Theorem #9,11,13

Week 15

Monday, Dec 8
16.8 Divergence Theorem #15; NO Alt Req for Final Exam
Tuesday, Dec 9
Review for Final; Quiz 12 Answers
Wednesday, Dec 10
Review for Final
Friday, Dec 12
Review for Final

FINAL EXAM WEDNESDAY, DEC 17, 2008, 1:30-3:30 pm