Tentative Schedule & textbook homework for Math 291, fall 2002

Text
Calculus (Early Transcendentals), by James Stewart, 4th edition, Brooks/Cole Publishing Co., 1999. There's also a thinner book, Multivariable Calculus with the same {author | edition | publisher}, containing mostly the chapters we will cover but the chapter numbering is changed. So the big book's chapters {12,13,14,15,16} become the thinner book's chapters {13,14,15,16,17}.

Note
Odd-numbered problems have bare answers or hints in the back of the book.

Comments
What follows is a rather rapid schedule I've copied from a previous instructor. Almost surely I will not be able to keep up. I hope that significant portions of most Thursdays will be devoted to discussion of homework and workshop problems. I suspect that I may occasionally need to "borrow" some workshop time to catch up.

Meeting times & places
All classes are 4:30-5:50 (sixth period). Classes meet in SEC 205 on Monday and Wednesday and in SEC 218 on Thursday except when otherwise noted (such as 9/12 -- see below).

Lecture Date SectionsSection titleSuggested problems
1 9/4 12.1
12.2 		Three-Dimensional Coordinate Systems
Vectors		 8, 9, 11, 17, 33, 35, 37, 41, 42
1, 5, 9, 19, 25, 33, 37,40, 41
Workshop9/5 Workshop #1
2 9/9 12.3
12.4 		The Dot Product
The Cross Product		 1, 3, 9, 19, 27, 31, 45, 57, 61, 62, 63
3, 15, 27, 31, 39,41, 44, 45
3 9/11 12.5
12.6		 Equations of Lines & Planes
Cylinders & Quadric Surfaces		1, 3, 11, 17, 21, 29, 33, 37, 43, 49, 55, 58, 63, 69
21, 23, 25, 27, 43, 45, 46,48
Workshop9/12The Maple field trip in ARC 118; Workshop #2
4 9/16 13.1
13.2		 Vector Functions & Space Curves
Derivatives & Integrals of Vector Functions		 7, 9, 11, 17, 21, 35, 37
5, 13, 17, 23, 31, 33, 39, 47, 49, 51
5 9/18 13.3
13.4		 Arc Length & Curvature
Motion in Space & Acceleration		3, 7, 13, 17, 21, 25, 33, 37, 41, 42, 44, 45, 46
13, 21, 25, 29, 33, 34
Workshop9/19 T and N and B; Workshop #3
6 9/23 14.1
14.2		 Functions of Several Variables
Limits & Continuity		 13, 27, 28, 35, 39, 41, 51, 53, 55, 60
9, 11, 13, 33, 37, 41, 42
7 9/25 14.3
14.4 		Partial Derivatives
Tangent Planes & Linear Approximations		 1, 5, 15, 19, 31, 45, 57, 64, 65, 67, 75, 79, 85
5, 11, 19, 23, 33, 41, 42
Workshop9/26 
8 9/30 14.5 The Chain Rule 3, 7, 21, 29, 37, 41, 43, 51, 52, 53, 54
9 10/2 14.6Directional Derivatives & the Gradient Vector 1, 3, 9, 13, 21, 29, 31, 33, 39, 62
Workshop10/3 
10 10/7 14.7 Maximum & Minimum Values 3, 7, 15, 35, 36, 39, 43, 51
Workshop10/9Review for the first exam. Note exchange of workshop and class times.
11 10/10FIrst exam covering 12.1-14.6
12 10/14 14.8Lagrange Multipliers 3, 5, 9, 19, 41, 42
13 10/16 15.1
15.2		Double Integrals over Rectangles
Iterated Integrals		 5, 13, 17, 18
1, 7, 17, 23, 29, 36
Workshop10/17 
14 10/21 15.3 Double Integrals over General Regions 1, 5, 7, 13, 17, 21, 33, 37, 39, 53
15 10/23 15.4
15.9		 Double Integrals in Polar Coordinates
Change of Variable in Multiple Integrals		 3, 9, 17, 23, 25, 29, 34, 35
5, 7, 9, 11, 13, 19
Workshop10/24 
16 10/28 16.6 (part)
15.6 		Parametric Surfaces & Their Areas
Surface Area		See below for 16.6 problems.
1, 5, 7, 11, 20, 21
17 10/3015.7
12.7		Triple Integrals
Cylindrical & Spherical Coordinates		 3, 9, 13, 17, 19, 23, 29, 33, 45, 46
7, 21, 29, 35, 37, 39, 43, 55, 61
Workshop10/31 
18 11/4 15.8
16.1		Triple Integrals in Cylindrical and Spherical Coordinates
Vector Fields		 1, 3, 5, 13, 17, 21, 29, 33, 35, 38
1, 5, 11, 13, 21, 23, 25, 33, 34
19 11/6 16.2Line Integrals 1, 5, 15, 17, 19, 21, 31, 37, 44
Workshop11/7 
20 11/11 16.3 The Fund. Theorem for Line Integrals 1, 3, 5, 7, 13, 17, 19, 23, 29, 31, 33
21 11/13 16.4Green's Theorem 1, 3, 7, 11, 15, 17, 19, 29
Workshop11/14Review for the second exam
22 11/18 Second exam covering 14.7-16.3
23 11/20 16.5Curl & Divergence 3, 7, 12, 15, 17, 25, 33, 34
Workshop11/21 
24 11/25 15.6
16.6		Surface Area
Parametric Surfaces & Their Areas		 1, 5, 7, 11, 20, 21
3, 17, 21, 25, 29, 41, 46a), 48a)
Workshop11/26At Rutgers for scheduling purposes, this Tuesday is functionally a Thursday!
25 12/2 16.7 Surface Integrals 5, 9, 19, 21, 39, 41, 43
26 12/4 16.8 Stokes' Theorem 3, 5, 7, 9, 13, 15, 18, 19
Workshop12/5 
27 12/9 16.9 The Divergence Theorem 1, 3, 7, 11, 13, 15
28 12/11 Catch-up & review

The final exam for this course is scheduled for 12:00 PM to 3:00 PM on Monday, December 23, 2002. This is the last possible standard exam time! Information about the location will be given later.

Maintained by greenfie@math.rutgers.edu and last modified 9/23/2002.