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 denoted (H-H) refer to the sixth edition of Calculus by Hughes-Hallett, McCallum, et al.

Text sections denoted (Barr) refer to the second edition of Vector Calculus by Barr.

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Term
Date
Instructor
Topic(s)
Text Sections
Solutions
W14
Nelson
functions of two and three variables, graphs, surfaces, contour diagrams, limits, continuity, vectors, dot products, cross products (H-H) 12.1-12.6, 13.1-13.4
W14
Nelson
partial derivatives, local linearity, gradients, directional derivatives, chain rule, second-order partial derivatives, differentiability, critical points, optimization (H-H) 14.1-14.8, 15.1-15.2
F13
Nelson
functions of two and three variables, graphs, surfaces, contour diagrams, limits, continuity, vectors, dot products (H-H) 12.1-12.6, 13.1-13.3
F13
Nelson
cross products, partial derivatives, local linearity, gradients, directional derivatives, chain rule, second-order partial derivatives, differentiability (H-H) 13.4, 14.1-14.8
F13
Nelson
Final: all from 09/27 and 11/01 exams plus critical points, optimization, Lagrange multipliers, double integrals, iterated integrals, parameterized curves, motion, vector fields, line integrals (H-H) 12.1-12.6, 13.1-13.4, 14.1-14.8, 15.1-15.3, 16.1-16.2, 17.1-17.3, 18.1-18.2
W13
Weiss
vectors, lines, planes, surfaces, parametrizations, dot and cross products, limits, level curves, differentiation (Barr) 1.1-1.3, 1.5-1.9, 3.1-3.2, 3.4-3.5
F12
Weiss
vectors, lines, planes, surfaces, parametrizations, coordinate systems, dot and cross products, limits, level curves, differentiation (Barr) 1.1-1.9, 3.1-3.2, 3.4-3.6
F12
Weiss
directional derivatives, div, grad, curl, local extrema, optimization (Barr) 3.1-3.2, 3.4-3.6, 4.1-4.2, 4.4-4.5
F12
Weiss
Final: all from 10/05 and 11/09 exams plus paths, arclength, line integrals, double integrals, triple integrals, surface area, surface integrals, change of variables, fundamental theorem for path integrals, Green's Theorem, Stokes's Theorem (Barr) 1.1-1.9, 3.1-3.2, 3.4-3.6, 4.1-4.2, 4.4-4.5, 5.1-5.8, 6.1-6.2, 6.4
W12
Nelson
functions of two variables, quadric surfaces, vectors, dot product, projections, cross product, lines, planes, vector-valued functions (Barr) 1.1-1.3, 1.5-1.9
W12
Nelson
graphs, level sets, vector fields, limits, continuity, partial derivatives, total derivative, chain rule, gradient, directional derivative (Barr) 1.10, 3.1-3.2, 3.4-3.6, 4.1
W12
Nelson
Final: all from 02/10 and 03/14 exams plus local extrema, paths, arclength, line integrals, double integrals, fundamental theorem for path integrals, Green's Theorem (Barr) 1.1-1.3, 1.5-1.10, 3.1-3.2, 3.4-3.6, 4.1-4.2, 4.4, 5.1-5.3, 6.1-6.2
F11
Nelson
functions of two variables, quadric surfaces, vectors, dot product, projections, cross product, lines, planes, vector-valued functions, derivatives and motion (Barr) 1.1-1.3, 1.5-1.10
F11
Nelson
graphs, level sets, vector fields, limits, continuity, partial derivatives, total derivative, chain rule, gradient, directional derivative, divergence, curl (Barr) 3.1, 3.2, 3.4-3.6, 4.1-4.2
F11
Nelson
Final: all from 10/07 and 11/11 exams plus local extrema, paths, arclength, line integrals, double integrals, fundamental theorem for path integrals, Green's Theorem (Barr) 1.1-1.3, 1.5-1.10, 3.1-3.2, 3.4-3.6, 4.1-4.2, 4.4, 5.1-5.3, 6.1-6.2
W11
Ross
(Exam 1) geometry of R^n, quadric surfaces, dot & cross products and applications, planes, lines, path parametrization and velocity; level sets, limits, partial derivatives
(Barr) 1.1-1.3, 1.5-1.10, 3.1, 3.2, 3.4
W11
Ross
(Exam 2) partial derivatives, chain rule, gradient, directional derivative, Taylor polynomials, use of Maple to find and evaluate partial derivatives in assembly of Taylor polynomials through degree three, local max, min, and saddle points, second derivative test (Barr) 3.6, 4.1, 4.3-4.4
F10
Ross
(Exam 1) geometry of R^n, quadric surfaces, dot & cross products and applications, planes, lines, path parametrization and velocity (Barr) 1.1-1.10
F10
Ross
(Exam 2) level sets, limits, partial derivatives, Jacobian, total derivative, chain rule, gradient, directional derivative, divergence, curl, Taylor polynomials, local extrema (Barr) 3.1, 3.2, 3.4-3.6, 4.1-4.4
F10
Ross
(Final Exam) all from 10/08 and 11/12 exams plus paths, arclength, line integrals, double integrals, surface integrals, fundamental theorem for path integrals, Green's Theorem, Divergence theorem, Stokes's Theorem
(Barr) 1.1-1.10, 3.1, 3.2, 3.4-3.6, 4.1-4.4, 5.1-5.3, 5.5, 5.6,
6.1-6.4
W10
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 (Barr) 1.1-1.10, 2.1-2.5, 3.1-3.4
no
W10
Haines
derivatives, chain rule, gradient, divergence, curl, Taylor's theorem, local extrema, paths, arclength, line integrals, double integrals, triple integrals (Barr) 3.5-3.6, 4.1-4.4, 5.1-5.4
no
W10
Haines
Final: all from 02/05 and 03/12 exams plus surface area, surface integrals, path integrals, change of variables, Green's Theorem, Divergence Theorem, Stokes's Theorem (Barr) 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
F09
Salerno
vectors, lines, planes, surfaces, calculus of vector-valued functions, dot and cross products, open and closed sets, linear transformations, quadratic forms, limits (upper link is in-class and lower link is take-home) (Barr) 1.1-1.10, 2.1-2.5, 3.1-3.2
no
F09
Salerno
continuity, open and closed sets, partial derivatives, total derivatives, chain rule, gradient, directional derivatives, divergence, curl, local extrema, paths, arclength, line integrals (upper link is in-class and lower link is take-home) (Barr) 3.3-3.6, 4.1-4.2, 4.4, 5.1-5.2
no
F09
Salerno
paths, arclength, line integrals, double integrals, triple integrals, surface area, change of variables, Green's Theorem, Divergence Theorem, Stokes's Theorem (upper link is in-class and lower link is take-home) (Barr) 5.1-5.8, 6.1-6.4
F09
Salerno
Final: all from 10/09, 11/06 and 12/04 exams (Barr) 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
W09
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 (Barr) 1.1-1.10, 2.1-2.5, 3.1-3.4
no
W09
Haines
derivatives, chain rule, gradient, divergence, curl, Taylor's theorem, local extrema, paths, arclength, line integrals, double integrals, triple integrals (Barr) 3.5-3.6, 4.1-4.4, 5.1-5.4
no
W09
Haines
Final: all from 02/05 and 03/12 exams plus surface area, surface integrals, path integrals, change of variables, Green's Theorem, Divergence Theorem, Stokes's Theorem (Barr) 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
F08
Moras
derivatives, continuity, chain rule, partial derivatives, limits, sets (open, closed, boundary, complement), linear transformations (Barr) 1.1-1.10, 2.1-2.5, 3.1-3.6
no
F08
Moras
gradient, directional derivative, divergence, curl, arclength, path integrals, double integals, triple integrals, surface integrals, change of variables (Barr) 4.1-4.3, 5.1-5.8
no
F08
Moras
Final: all from 09/29 and 10/31 exams plus Green's Theorem, Divergence Theorem, Stokes's Theorem (Barr) 1.1-1.10, 2.1-2.5, 3.1-3.6 , 4.1-4.3, 5.1-5.8, 6.1-6.4
no
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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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] (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 3.1-3.6, 4.1-4.4
no
W05
Haines
paths and arclength, line integrals, double integrals, triple integrals, surface area, surface integrals (Barr) 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 (Barr) 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 (Barr) 1.1-1.10, 2.1-2.5
F04
Jayawant
coordinate geometry, vector geomety, linear algebra (Barr) 1.1-1.10, 2.1-2.5
F04
Jayawant
Review for Exam 2 (Barr) 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 (Barr) 3.1-3.6, 4.1, 4.2, 4.4, 5.1, 5.2
F04
Jayawant
integration, the fundamental theorem for path integrals (Barr) 5.1-5.8, 6.1
F04
Jayawant
Review for Chapters 5 and 6 (Barr) 5.1-5.8, 6.1-6.4
F04
Jayawant
differentiation and its applications, integration, fundamental theorems (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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 (Barr) 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