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 (HH) refer to the sixth edition of Calculus by HughesHallett, 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  (HH) 12.112.6, 13.113.4  
W14 
Nelson 
partial derivatives, local linearity, gradients, directional derivatives, chain rule, secondorder partial derivatives, differentiability, critical points, optimization  (HH) 14.114.8, 15.115.2  
F13 
Nelson 
functions of two and three variables, graphs, surfaces, contour diagrams, limits, continuity, vectors, dot products  (HH) 12.112.6, 13.113.3  
F13 
Nelson 
cross products, partial derivatives, local linearity, gradients, directional derivatives, chain rule, secondorder partial derivatives, differentiability  (HH) 13.4, 14.114.8  
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  (HH) 12.112.6, 13.113.4, 14.114.8, 15.115.3, 16.116.2, 17.117.3, 18.118.2  
W13 
Weiss 
vectors, lines, planes, surfaces, parametrizations, dot and cross products, limits, level curves, differentiation  (Barr) 1.11.3, 1.51.9, 3.13.2, 3.43.5  
F12 
Weiss 
vectors, lines, planes, surfaces, parametrizations, coordinate systems, dot and cross products, limits, level curves, differentiation  (Barr) 1.11.9, 3.13.2, 3.43.6  
F12 
Weiss 
directional derivatives, div, grad, curl, local extrema, optimization  (Barr) 3.13.2, 3.43.6, 4.14.2, 4.44.5  
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) 1.11.9, 3.13.2, 3.43.6, 4.14.2, 4.44.5, 5.15.8, 6.16.2, 6.4  
W12 
Nelson 
functions of two variables, quadric surfaces, vectors, dot product, projections, cross product, lines, planes, vectorvalued functions  (Barr) 1.11.3, 1.51.9  
W12 
Nelson 
graphs, level sets, vector fields, limits, continuity, partial derivatives, total derivative, chain rule, gradient, directional derivative  (Barr) 1.10, 3.13.2, 3.43.6, 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) 1.11.3, 1.51.10, 3.13.2, 3.43.6, 4.14.2, 4.4, 5.15.3, 6.16.2  
F11 
Nelson 
functions of two variables, quadric surfaces, vectors, dot product, projections, cross product, lines, planes, vectorvalued functions, derivatives and motion  (Barr) 1.11.3, 1.51.10  
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, 3.43.6, 4.14.2  
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) 1.11.3, 1.51.10, 3.13.2, 3.43.6, 4.14.2, 4.4, 5.15.3, 6.16.2  
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) 1.11.3, 1.51.10, 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, 4.34.4  
F10 
Ross 
(Exam 1) geometry of R^n, quadric surfaces, dot & cross products and applications, planes, lines, path parametrization and velocity  (Barr) 1.11.10  
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, 3.43.6, 4.14.4  
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) 1.11.10, 3.1, 3.2, 3.43.6, 4.14.4, 5.15.3, 5.5, 5.6, 6.16.4 

W10 
Haines 
vectors, lines, planes, surfaces, calculus of vectorvalued functions, dot and cross products, open and closed sets, linear transformations, quadratic forms, limits, continuity, partial derivatives  (Barr) 1.11.10, 2.12.5, 3.13.4  no 

W10 
Haines 
derivatives, chain rule, gradient, divergence, curl, Taylor's theorem, local extrema, paths, arclength, line integrals, double integrals, triple integrals  (Barr) 3.53.6, 4.14.4, 5.15.4  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) 1.11.10, 2.12.5, 3.13.6, 4.14.4, 5.15.8, 6.16.4  no 

F09 
Salerno 
vectors, lines, planes, surfaces, calculus of vectorvalued functions, dot and cross products, open and closed sets, linear transformations, quadratic forms, limits (upper link is inclass and lower link is takehome)  (Barr) 1.11.10, 2.12.5, 3.13.2  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 inclass and lower link is takehome)  (Barr) 3.33.6, 4.14.2, 4.4, 5.15.2  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 inclass and lower link is takehome)  (Barr) 5.15.8, 6.16.4  
F09 
Salerno 
Final: all from 10/09, 11/06 and 12/04 exams  (Barr) 1.11.10, 2.12.5, 3.13.6, 4.14.2, 4.4, 5.15.8, 6.16.4  no 

W09 
Haines 
vectors, lines, planes, surfaces, calculus of vectorvalued functions, dot and cross products, open and closed sets, linear transformations, quadratic forms, limits, continuity, partial derivatives  (Barr) 1.11.10, 2.12.5, 3.13.4  no 

W09 
Haines 
derivatives, chain rule, gradient, divergence, curl, Taylor's theorem, local extrema, paths, arclength, line integrals, double integrals, triple integrals  (Barr) 3.53.6, 4.14.4, 5.15.4  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) 1.11.10, 2.12.5, 3.13.6, 4.14.4, 5.15.8, 6.16.4  no 

F08 
Moras 
derivatives, continuity, chain rule, partial derivatives, limits, sets (open, closed, boundary, complement), linear transformations  (Barr) 1.11.10, 2.12.5, 3.13.6  no 

F08 
Moras 
gradient, directional derivative, divergence, curl, arclength, path integrals, double integals, triple integrals, surface integrals, change of variables  (Barr) 4.14.3, 5.15.8  no 

F08 
Moras 
Final: all from 09/29 and 10/31 exams plus Green's Theorem, Divergence Theorem, Stokes's Theorem  (Barr) 1.11.10, 2.12.5, 3.13.6 , 4.14.3, 5.15.8, 6.16.4  no 

W08 
Haines 
vectors, lines, planes, surfaces, calculus of vectorvalued functions, dot and cross products, open and closed sets, linear transformations, quadratic forms, limits, continuity, partial derivatives  (Barr) 1.11.10, 2.12.5, 3.13.4  no 

W08 
Haines 
derivatives, chain rule, gradient, divergence, curl, Taylor's theorem, local extrema, paths, arclength, line integrals, double integrals, triple integrals  (Barr) 3.53.6, 4.14.4, 5.15.4  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) 1.11.10, 2.12.5, 3.13.6, 4.14.4, 5.15.8, 6.16.4  no 

F07 
Wong 
vectors, lines, planes, surfaces, calculus of vectorvalued functions, dot and cross products, open and closed sets, linear transformations  (Barr) 1.11.10, 2.12.4  
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) 3.13.6, 4.14.2, 4.4, 5.15.2  
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) 1.11.10, 2.12.4, 3.13.6, 4.14.2, 4.4, 5.15.8, 6.16.4  no 

W07 
Dzhelepov 
vectors, lines, planes, surfaces, calculus of vectorvalued functions, dot and cross products, linear transformations, open and closed sets, limits, continuity, partial and total derivatives, chain rule  (Barr) 1.11.10, 2.3, 3.13.6  
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, 4.14.5, 5.1, 5.35.5, 5.7  
W07 
Dzhelepov 
Final: all from first two exams plus Green's Theorem, Divergence Theorem, Stokes's Theorem  (Barr) 1.11.10, 2.32.5, , 3.13.6, 4.14.5, 5.1, 5.35.5, 5.75.8, 6.16.4  no 

F06 
Wong 
vectors, lines, planes, surfaces, calculus of vectorvalued functions, dot and cross products, open and closed sets, linear transformations, quadratic forms, limits, continuity  (Barr) 1.11.10, 2.12.5, 3.13.2  
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) 3.33.6, 4.14.2, 4.4, 5.15.2  
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) 1.11.10, 2.12.5, 3.13.6, 4.14.2, 4.4, 5.15.8, 6.16.4  no 

W06 
Haines 
vectors, lines, planes, surfaces, calculus of vectorvalued functions, dot and cross products, open and closed sets, linear transformations, quadratic forms, limits, continuity, partial derivatives  (Barr) 1.11.10, 2.12.5, 3.13.4  no 

W06 
Haines 
derivatives, chain rule, gradient, divergence, curl, Taylor's theorem, local extrema, paths, arclength, line integrals, double integrals, triple integrals  (Barr) 3.53.6, 4.14.4, 5.15.4  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) 1.11.10, 2.12.5, 3.13.6, 4.14.4, 5.15.8, 6.16.4  no 

F05 
Haines 
vectors, lines, planes, surfaces, calculus of vectorvalued functions, dot and cross products, open and closed sets, linear transformations, quadratic forms, limits, continuity, partial derivatives  (Barr) 1.11.10, 2.12.5, 3.13.4  no 

F05 
Haines 
derivatives, chain rule, gradient, divergence, curl, Taylor's theorem, local extrema, paths, arclength, line integrals, double integrals, triple integrals  (Barr) 3.53.6, 4.14.4, 5.15.5  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) 1.11.10, 2.12.5, 3.13.6, 4.14.4, 5.15.8, 6.16.4  no 

W05 
Haines 
vectors: dot and cross products, projections and components; lines, planes, and surfaces in space; calculus of vectorvalued functions; linear transformations; quadratic forms  (Barr) 1.11.10, 2.12.5  no 

W05 
Haines 
multivariable functions: graphs, limits, chain rule, partial and total derivatives, gradient, divergence, curl, local extrema, Taylor polynomials  (Barr) 3.13.6, 4.14.4  no 

W05 
Haines 
paths and arclength, line integrals, double integrals, triple integrals, surface area, surface integrals  (Barr) 5.15.8  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) 1.11.10, 2.12.5, 3.13.6, 4.14.4, 5.15.8, 6.16.4  no 

F04 
Jayawant 
Review for Exam 1  (Barr) 1.11.10, 2.12.5  
F04 
Jayawant 
coordinate geometry, vector geomety, linear algebra  (Barr) 1.11.10, 2.12.5  
F04 
Jayawant 
Review for Exam 2  (Barr) 3.13.6, 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) 3.13.6, 4.1, 4.2, 4.4, 5.1, 5.2  
F04 
Jayawant 
integration, the fundamental theorem for path integrals  (Barr) 5.15.8, 6.1  
F04 
Jayawant 
Review for Chapters 5 and 6  (Barr) 5.15.8, 6.16.4  
F04 
Jayawant 
differentiation and its applications, integration, fundamental theorems  (Barr) 3.13.6, 4.1, 4.2, 4.4, 5.15.8, 6.16.4  
W04 
Haines 
vectors: dot and cross products, projections and components; lines and planes in space; calculus of vectorvalued functions; linear transformations; quadratic forms  (Barr) 1.11.3, 1.51.10, 2.12.5  no 

W04 
Haines 
multivariable functions: graphs, limits, chain rule, partial and total derivatives, gradient, divergence, curl, local extrema, Taylor polynomials  (Barr) 3.13.6, 4.14.4  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) 5.16.2  no 

W04 
Haines 
Final: all from 02/06, 03/10, and 04/02 exams plus the Divergence Theorem and Stokes's Theorem  (Barr) 1.11.3, 1.51.10, 2.12.5, 3.13.6, 4.14.4, 5.15.6, 6.16.4  no 

F03 
Haines 
vectors: dot and cross products, projections and components; lines and planes in space; calculus of vectorvalued functions; linear transformations; quadratic forms  (Barr) 1.11.3, 1.51.10, 2.12.5  no 

F03 
Haines 
multivariable functions: graphs, limits, chain rule, partial and total derivatives, gradient, divergence, curl, local extrema, Taylor polynomials  (Barr) 3.13.6, 4.14.4  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) 5.16.2  no 

F03 
Haines 
Final: all from 09/25, 10/24, and 11/19 exams plus the Divergence Theorem and Stokes's Theorem  (Barr) 1.11.3, 1.51.10, 2.12.5, 3.13.6, 4.14.4, 5.15.6, 6.16.4  no 