Old Math 206 Exams
Click on the date of each exam in order to view it. If a solution set is available, you may click on it at the far right.
Text sections refer to the second edition of Vector Calculus by Barr.
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| Term |
Date |
Instructor |
Topic(s) |
Text Sections |
Solutions |
W08 |
Haines |
vectors, lines, planes, surfaces, calculus of vector-valued functions, dot and cross products, open and closed sets, linear transformations, quadratic forms, limits, continuity, partial derivatives | 1.1-1.10, 2.1-2.5, 3.1-3.4 | no |
|
W08 |
Haines |
derivatives, chain rule, gradient, divergence, curl, Taylor's theorem, local extrema, paths, arclength, line integrals, double integrals, triple integrals | 3.5-3.6, 4.1-4.4, 5.1-5.4 | no |
|
W08 |
Haines |
Final: all from 01/31 and 03/06 exams plus surface area, surface integrals, path integrals, change of variables, Green's Theorem, Divergence Theorem, Stokes's Theorem | 1.1-1.10, 2.1-2.5, 3.1-3.6, 4.1-4.4, 5.1-5.8, 6.1-6.4 | no |
|
F07 |
Wong |
vectors, lines, planes, surfaces, calculus of vector-valued functions, dot and cross products, open and closed sets, linear transformations | 1.1-1.10, 2.1-2.4 | ||
F07 |
Wong |
open and closed sets, continuity, partial derivatives, total derivatives, chain rule, gradient, directional derivatives, divergence, curl, local extrema, paths, arclength, line integrals | 3.1-3.6, 4.1-4.2, 4.4, 5.1-5.2 | ||
F07 |
Wong |
Final: all from 09/27 and 11/06 exams plus double integrals, triple integrals, surface area, surface integrals, path integrals, change of variables, Green's Theorem, Divergence Theorem, Stokes's Theorem | 1.1-1.10, 2.1-2.4, 3.1-3.6, 4.1-4.2, 4.4, 5.1-5.8, 6.1-6.4 | no |
|
W07 |
Dzhelepov |
vectors, lines, planes, surfaces, calculus of vector-valued functions, dot and cross products, linear transformations, open and closed sets, limits, continuity, partial and total derivatives, chain rule | 1.1-1.10, 2.3, 3.1-3.6 | ||
W07 |
03/23/07 | Dzhelepov |
quadratic forms, gradient, directional derivative, divergence, curl, Taylor's Theorem, local extrema, optimization, Lagrange multipliers, paths, arclength, double integrals, triple integrals, surface area, change of variables [only solutions available] | 2.4, 2.5, 3.3, 4.1-4.5, 5.1, 5.3-5.5, 5.7 | |
| W07 |
Dzhelepov |
Final: all from first two exams plus Green's Theorem, Divergence Theorem, Stokes's Theorem | 1.1-1.10, 2.3-2.5, , 3.1-3.6, 4.1-4.5, 5.1, 5.3-5.5, 5.7-5.8, 6.1-6.4 | no |
|
| F06 |
Wong |
vectors, lines, planes, surfaces, calculus of vector-valued functions, dot and cross products, open and closed sets, linear transformations, quadratic forms, limits, continuity | 1.1-1.10, 2.1-2.5, 3.1-3.2 | ||
| F06 |
Wong |
open and closed sets, continuity, partial derivatives, total derivatives, chain rule, gradient, directional derivatives, divergence, curl, local extrema, paths, arclength, line integrals | 3.3-3.6, 4.1-4.2, 4.4, 5.1-5.2 | ||
| F06 |
Wong |
Final: all from 09/29 and 11/03 exams plus double integrals, triple integrals, surface area, surface integrals, path integrals, change of variables, Green's Theorem, Divergence Theorem, Stokes's Theorem | 1.1-1.10, 2.1-2.5, 3.1-3.6, 4.1-4.2, 4.4, 5.1-5.8, 6.1-6.4 | no |
|
| W06 |
Haines |
vectors, lines, planes, surfaces, calculus of vector-valued functions, dot and cross products, open and closed sets, linear transformations, quadratic forms, limits, continuity, partial derivatives | 1.1-1.10, 2.1-2.5, 3.1-3.4 | no |
|
| W06 |
Haines |
derivatives, chain rule, gradient, divergence, curl, Taylor's theorem, local extrema, paths, arclength, line integrals, double integrals, triple integrals | 3.5-3.6, 4.1-4.4, 5.1-5.4 | no |
|
| W06 |
Haines |
Final: all from 01/30 and 03/06 exams plus surface area, surface integrals, path integrals, change of variables, Green's Theorem, Divergence Theorem, Stokes's Theorem | 1.1-1.10, 2.1-2.5, 3.1-3.6, 4.1-4.4, 5.1-5.8, 6.1-6.4 | no |
|
| F05 |
Haines |
vectors, lines, planes, surfaces, calculus of vector-valued functions, dot and cross products, open and closed sets, linear transformations, quadratic forms, limits, continuity, partial derivatives | 1.1-1.10, 2.1-2.5, 3.1-3.4 | no |
|
| F05 |
Haines |
derivatives, chain rule, gradient, divergence, curl, Taylor's theorem, local extrema, paths, arclength, line integrals, double integrals, triple integrals | 3.5-3.6, 4.1-4.4, 5.1-5.5 | no |
|
| F05 |
Haines |
Final: all from 09/30 and 11/04 exams plus surface area, surface integrals, path integrals, change of variables, Green's Theorem, Divergence Theorem, Stokes's Theorem | 1.1-1.10, 2.1-2.5, 3.1-3.6, 4.1-4.4, 5.1-5.8, 6.1-6.4 | no |
|
| W05 |
Haines |
vectors: dot and cross products, projections and components; lines, planes, and surfaces in space; calculus of vector-valued functions; linear transformations; quadratic forms | 1.1-1.10, 2.1-2.5 | no |
|
| W05 |
Haines |
multivariable functions: graphs, limits, chain rule, partial and total derivatives, gradient, divergence, curl, local extrema, Taylor polynomials | 3.1-3.6, 4.1-4.4 | no |
|
| W05 |
Haines |
paths and arclength, line integrals, double integrals, triple integrals, surface area, surface integrals | 5.1-5.8 | no |
|
| W05 |
Haines |
Final: all from 01/28, 02/17, and 03/25 exams plus path integrals, Green's Theorem, Divergence Theorem, Stokes's Theorem | 1.1-1.10, 2.1-2.5, 3.1-3.6, 4.1-4.4, 5.1-5.8, 6.1-6.4 | no |
|
| F04 |
Jayawant |
Review for Exam 1 | 1.1-1.10, 2.1-2.5 | ||
| F04 |
Jayawant |
coordinate geometry, vector geomety, linear algebra | 1.1-1.10, 2.1-2.5 | ||
| F04 |
Jayawant |
Review for Exam 2 | 3.1-3.6, 4.1, 4.2, 4.4, 5.1, 5.2 | ||
| F04 |
Jayawant |
graphs, level sets, limits, continuity, open and closed sets, partial derivatives, differentiation, total derivatives, chain rule, gradient, directional derivative, divergence, curl, local extrema, paths, line integrals | 3.1-3.6, 4.1, 4.2, 4.4, 5.1, 5.2 | ||
| F04 |
Jayawant |
integration, the fundamental theorem for path integrals | 5.1-5.8, 6.1 | ||
| F04 |
Jayawant |
Review for Chapters 5 and 6 | 5.1-5.8, 6.1-6.4 | ||
| F04 |
Jayawant |
differentiation and its applications, integration, fundamental theorems | 3.1-3.6, 4.1, 4.2, 4.4, 5.1-5.8, 6.1-6.4 | ||
| W04 |
Haines |
vectors: dot and cross products, projections and components; lines and planes in space; calculus of vector-valued functions; linear transformations; quadratic forms | 1.1-1.3, 1.5-1.10, 2.1-2.5 | no |
|
| W04 |
Haines |
multivariable functions: graphs, limits, chain rule, partial and total derivatives, gradient, divergence, curl, local extrema, Taylor polynomials | 3.1-3.6, 4.1-4.4 | no |
|
| W04 |
Haines |
paths and arclength, line integrals, double integrals, triple integrals, surface area, surface integrals, fundamental theorem for path integrals, Green's Theorem | 5.1-6.2 | no |
|
| W04 |
Haines |
Final: all from 02/06, 03/10, and 04/02 exams plus the Divergence Theorem and Stokes's Theorem | 1.1-1.3, 1.5-1.10, 2.1-2.5, 3.1-3.6, 4.1-4.4, 5.1-5.6, 6.1-6.4 | no |
|
| F03 |
Haines |
vectors: dot and cross products, projections and components; lines and planes in space; calculus of vector-valued functions; linear transformations; quadratic forms | 1.1-1.3, 1.5-1.10, 2.1-2.5 | no |
|
| F03 |
Haines |
multivariable functions: graphs, limits, chain rule, partial and total derivatives, gradient, divergence, curl, local extrema, Taylor polynomials | 3.1-3.6, 4.1-4.4 | no |
|
| F03 |
Haines |
paths and arclength, line integrals, double integrals, triple integrals, surface area, surface integrals, fundamental theorem for path integrals, Green's Theorem | 5.1-6.2 | no |
|
| F03 |
Haines |
Final: all from 09/25, 10/24, and 11/19 exams plus the Divergence Theorem and Stokes's Theorem | 1.1-1.3, 1.5-1.10, 2.1-2.5, 3.1-3.6, 4.1-4.4, 5.1-5.6, 6.1-6.4 | no |