List of textbook homework for Math 291, spring 2003

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. The webpage hotmath.org has links to hints and solutions for many problems in the first 13 chapters of Stewart's book.

Comments
We should cover essentially all sections listed. I may sometimes skip a section and return to it later. Class attendance is essential.

Meeting times & places
All classes are 4:30-5:50 (sixth period). Classes meet in SEC 212 on Monday and Wednesday and in SEC 217 on Thursday except when otherwise noted (such as Thursday, 1/30, when we will meet in ARC 116, the X-term "lab" inside the Busch Campus Computing Center).

SectionSection titleSuggested problems
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
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
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
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
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
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
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
14.5 The Chain Rule 3, 7, 21, 29, 37, 41, 43, 51, 52, 53, 54
14.6Directional Derivatives & the Gradient Vector 1, 3, 9, 13, 21, 29, 31, 33, 39, 62
14.7Maximum & Minimum Values 3, 7, 15, 35, 36, 39, 43, 51
First exam covering 12.1-14.6
14.8Lagrange Multipliers 3, 5, 9, 19, 41, 42
15.1
15.2		Double Integrals over Rectangles
Iterated Integrals		 5, 13, 17, 18
1, 7, 17, 23, 29, 36
15.3 Double Integrals over General Regions 1, 5, 7, 13, 17, 21, 33, 37, 39, 53
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
16.6 (part)
15.6 		Parametric Surfaces & Their Areas
Surface Area		See below for 16.6 problems.
1, 5, 7, 11, 20, 21
15.7
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
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
16.2Line Integrals 1, 5, 15, 17, 19, 21, 31, 37, 44
16.3The Fundamental Theorem for Line Integrals 1, 3, 5, 7, 13, 17, 19, 23, 29, 31, 33
16.4Green's Theorem 1, 3, 7, 11, 15, 17, 19, 29
Second exam covering 14.8-16.3
16.5Curl & Divergence 3, 7, 12, 15, 17, 25, 33, 34
15.6
16.6		Surface Area
Parametric Surfaces & Their Areas		 1, 5, 7, 11, 20, 21
3, 17, 21, 25, 29, 41, 46a), 48a)
16.7Surface Integrals 5, 9, 19, 21, 39, 41, 43
16.8Stokes' Theorem 3, 5, 7, 9, 13, 15, 18, 19
16.9The Divergence Theorem 1, 3, 7, 11, 13, 15
Catch-up & review

The final exam for this course is scheduled for 4:00 PM to 7:00 PM on Friday, May 9, 2003. Information about the location will be given later.

Maintained by greenfie@math.rutgers.edu and last modified 1/14/2003.