Text Calculus (Early Transcendentals), by James Stewart, 4^{th} 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
Comments
Meeting times & places |
Section | Section title | Suggested 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 |
14.6 | Directional Derivatives & the Gradient Vector | 1, 3, 9, 13, 21, 29, 31, 33, 39, 62 |
14.7 | Maximum & Minimum Values | 3, 7, 15, 35, 36, 39, 43, 51 |
First exam covering 12.1-14.6 | ||
14.8 | Lagrange 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 |
16.2 | Line Integrals | 1, 5, 15, 17, 19, 21, 31, 37, 44 |
16.3 | The Fundamental Theorem for Line Integrals | 1, 3, 5, 7, 13, 17, 19, 23, 29, 31, 33 |
16.4 | Green's Theorem | 1, 3, 7, 11, 15, 17, 19, 29 |
Second exam covering 14.8-16.3 | ||
16.5 | Curl & 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) |
16.7 | Surface Integrals | 5, 9, 19, 21, 39, 41, 43 |
16.8 | Stokes' Theorem | 3, 5, 7, 9, 13, 15, 18, 19 |
16.9 | The 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.