# Math 206 (Multivariable Calculus): old quizzes

Term Date Instructor Topic(s) Text Sections Solutions
W14 01/16/14 Nelson functions of two variables, graphs and surfaces (H-H) 12.1, 12.2 yes
W14 01/23/14 Nelson contour diagrams, linear functions, functions of three variables (H-H) 12.3, 12.4, 12.5 yes
W14 01/30/14 Nelson limits, displacement vectors, vectors (H-H) 12.6, 13.1, 13.2 yes
W14 02/27/14 Nelson partial derivatives, local linearity, second-order partial derivatives (H-H) 14.1, 14.2, 14.3, 14.7 yes
W14 03/06/14 Nelson gradients, directional derivatives (H-H) 14.4, 14.5 yes
W14 03/20/14 Nelson Lagrange multipliers (H-H) 15.3 yes
F13 09/12/13 Nelson functions of two variables, graphs and surfaces (H-H) 12.1, 12.2 yes
F13 09/19/13 Nelson contour diagrams, linear functions, functions of three variables (H-H) 12.3, 12.4, 12.5 yes
F13 10/11/13 Nelson partial derivatives, local linearity (H-H) 14.1, 14.2, 14.3 yes
F13 10/24/13 Nelson gradients, directional derivatives (H-H) 14.4, 14.5 yes
F13 11/14/13 Nelson critical points, optimization (H-H) 15.1, 15.2, 15.3 yes
F13 11/21/13 Nelson definite integral as a function of two variables, iterated integrals (H-H) 16.1, 16.2 yes
F12 09/17/12 Weiss quadric surfaces (Barr) 1.3 no
F12 10/12/12 Weiss differentiation, chain rule (Barr) 3.5, 3.6 no
F12 11/26/12 Weiss parths, arclength, line integrals (Barr) 5.1, 5.2 no
F12 11/30/12 Weiss double integrals, triple integrals (Barr) 5.3, 5.4 no
W12 02/02/12 Nelson rectangular coordinates, functions of two variables, quadric surfaces (Barr) 1.1, 1.2, 1.3 yes
W12 03/05/12 Nelson derivatives and motion, graphs, level sets, limits, arclength (Barr) 1.10, 3.1, 3.2, 5.1 yes
W12 03/30/12 Nelson divergence, curl, local extrema, double integrals (Barr) 4.2, 4.4, 5.3 yes
F11 09/19/11 Nelson functions of two variables, quadric surfaces (Barr) 1.1, 1.2, 1.3 yes
F11 09/28/11 Nelson vectors, dot products, projections (Barr) 1.5, 1.6 yes
F11 10/26/11 Nelson limits, partial derivatives (Barr) 3.2, 3.4 yes
F11 11/02/11 Nelson total derivative, chain rule (Barr) 3.5, 3.6 yes
F11 11/30/11 Nelson local extrema, paths, arclength, line integrals (Barr) 4.4, 5.1, 5.2 yes
W11 01/21/11 Ross (Quiz 1) quadric surfaces, dot products, projection (Barr) 1.3, 1.6 yes
W11 01/28/11 Ross (Quiz 2) lines in R^3, path parametrization (Barr) 1.8, 1.9, 1.10 yes
W11 02/04/11 Ross (Quiz 3) derivatives of vector-valued functions, product rules, level curves, limits (Barr) 1.10, 3.1, 3.2 yes
W11 02/18/11 Ross (Quiz 4) partial derivatives, Jacobian, total derivative, linear approximation (Barr) 3.4, 3.5 yes
W11 03/04/11 Ross (Quiz 5) chain rule, gradient, directional derivative (Barr) 3.6, 4.1 yes
W11 03/11/11 Ross (Quiz 6) gradient, directional derivatives and tangent planes, div and grad, plotting vector fields (Barr) 4.1, 4.2 yes
W11 03/25/11 Ross (Quiz 7) path parametrization and arclength (Barr) 5.1 yes
F10 09/17/10 Ross (Quiz 1) equations of spheres, plotting functions f(x,y)=z (Barr) 1.1, 1.2, 1.3 yes
F10 09/24/10 Ross (Quiz 2) dot and cross products (Barr) 1.5, 1.6, 1.7 yes
F10 10/01/10 Ross (Quiz 3) planes and lines in R^3; parametrization of paths (Barr) 1.8, 1.9 yes
F10 10/17/10 Ross (Quiz 4) vector fields, level sets, limit definition (Barr) 3.1 3.2 yes
F10 11/01/10 Ross (Quiz 5) numerical estimation of partial derivatives, chain rule (Barr) 3.4, 3.5, 3.6 yes
F10 11/19/10 Ross (Quiz 6) paths, arclength, line integrals, work done by a vector field (Barr) 5.1, 5.2 yes
F10 12/06/10 Ross (Quiz 7) parameterized surfaces, surface integrals (Barr) 5.5, 5.6 yes
W10 01/15/10 Haines vectors, dot product, projection (Barr) 1.5, 1.6 no
W10 01/20/10 Haines cross product, planes, lines (Barr) 1.7, 1.8 no
W10 01/22/10 Haines vectors and lines in higher dimensions (Barr) 2.1 no
W10 01/25/10 Haines quadratic forms (Barr) 2.5 no
W10 01/27/10 Haines level curves (Barr) 3.1 no
W10 01/29/10 Haines limits (Barr) 3.2 no
W10 02/01/10 Haines open sets, closed sets, bounded sets (Barr) 3.3 no
W10 02/10/10 Haines the total derivative (Barr) 3.5 no
W10 02/12/10 Haines the chain rule (Barr) 3.6 no
W10 02/22/10 Haines directional derivatives (Barr) 4.1 no
W10 02/24/10 Haines divergence and curl (Barr) 4.2 no
W10 02/26/10 Haines Taylor polynomials (Barr) 4.3 no
W10 03/01/10 Haines local extrema (Barr) 4.4 no
W10 03/03/10 Haines paths and arclength (Barr) 5.1 no
W10 03/05/10 Haines line integrals (Barr) 5.2 no
W10 03/08/10 Haines double integrals (Barr) 5.3 no
W10 03/17/10 Haines surface area (Barr) 5.5 no
W10 03/19/10 Haines surface integrals (Barr) 5.6 no
W10 03/22/10 Haines change of variables in double integrals (Barr) 5.7 no
W10 03/24/10 Haines change of variables in triple integrals (Barr) 5.8 no
W10 03/26/10 Haines change of variables in triple integrals (Barr) 5.8 no
W10 03/29/10 Haines path integrals (Barr) 6.1 no
W10 03/31/10 Haines path integrals (Barr) 6.1 no
W10 04/02/10 Haines Green’s Theorem (Barr) 6.2 no
W10 04/05/10 Haines the Divergence Theorem (Barr) 6.3 no
W09 01/15/09 Haines vectors, dot product, projection (Barr) 1.5, 1.6 no
W09 01/20/09 Haines cross product, planes, lines (Barr) 1.7, 1.8 no
W09 01/22/09 Haines vectors and lines in higher dimensions (Barr) 2.1 no
W09 01/27/09 Haines quadratic forms (Barr) 2.5 no
W09 01/29/09 Haines functions from R^2 to R^3, graphs (Barr) 3.1 no
W09 02/12/09 Haines the total derivative, the chain rule (Barr) 3.5, 3.6 no
W09 02/24/09 Haines gradient, directional derivative (Barr) 4.1 no
W09 02/26/09 Haines gradient, Hessian matrix, Taylor polynomials (Barr) 4.3 no
W09 03/03/09 Haines arclength (Barr) 5.1 no
W09 03/05/09 Haines line integrals (Barr) 5.2 no
W09 03/19/09 Haines parametrized surfaces, surface area, surface integrals (Barr) 5.5, 5.6 no
W09 03/24/09 Haines change of variables in double integrals (Barr) 5.7 no
W09 03/26/09 Haines change of variables in triple integrals (Barr) 5.8 no
W09 03/31/09 Haines path integrals (Barr) 6.1 no
W09 04/02/09 Haines Green’s Theorem (Barr) 6.2 no
W09 04/07/09 Haines the Divergence Theorem (Barr) 6.3 no