{"id":1451,"date":"2017-03-02T15:57:52","date_gmt":"2017-03-02T20:57:52","guid":{"rendered":"https:\/\/www.bates.edu\/mathematics\/?page_id=1451"},"modified":"2022-06-30T17:27:35","modified_gmt":"2022-06-30T21:27:35","slug":"math-206-multivariable-calculus-old-quizzes","status":"publish","type":"page","link":"https:\/\/www.bates.edu\/mathematics\/math-206-multivariable-calculus-old-quizzes\/","title":{"rendered":"Math 206 (Multivariable Calculus): old quizzes"},"content":{"rendered":"

 <\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Term<\/th>\nDate<\/th>\nInstructor<\/th>\nTopic(s)<\/th>\nText Sections<\/th>\nSolutions<\/th>\n<\/tr>\n
W14<\/td>\n01\/16\/14<\/a><\/td>\nNelson<\/td>\nfunctions of two variables, graphs and surfaces<\/td>\n(H-H) 12.1, 12.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n01\/23\/14<\/a><\/td>\nNelson<\/td>\ncontour diagrams, linear functions, functions of three variables<\/td>\n(H-H) 12.3, 12.4, 12.5<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n01\/30\/14<\/a><\/td>\nNelson<\/td>\nlimits, displacement vectors, vectors<\/td>\n(H-H) 12.6, 13.1, 13.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n02\/27\/14<\/a><\/td>\nNelson<\/td>\npartial derivatives, local linearity, second-order partial derivatives<\/td>\n(H-H) 14.1, 14.2, 14.3, 14.7<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n03\/06\/14<\/a><\/td>\nNelson<\/td>\ngradients, directional derivatives<\/td>\n(H-H) 14.4, 14.5<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W14<\/td>\n03\/20\/14<\/a><\/td>\nNelson<\/td>\nLagrange multipliers<\/td>\n(H-H) 15.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n09\/12\/13<\/a><\/td>\nNelson<\/td>\nfunctions of two variables, graphs and surfaces<\/td>\n(H-H) 12.1, 12.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n09\/19\/13<\/a><\/td>\nNelson<\/td>\ncontour diagrams, linear functions, functions of three variables<\/td>\n(H-H) 12.3, 12.4, 12.5<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n10\/11\/13<\/a><\/td>\nNelson<\/td>\npartial derivatives, local linearity<\/td>\n(H-H) 14.1, 14.2, 14.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n10\/24\/13<\/a><\/td>\nNelson<\/td>\ngradients, directional derivatives<\/td>\n(H-H) 14.4, 14.5<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n11\/14\/13<\/a><\/td>\nNelson<\/td>\ncritical points, optimization<\/td>\n(H-H) 15.1, 15.2, 15.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F13<\/td>\n11\/21\/13<\/a><\/td>\nNelson<\/td>\ndefinite integral as a function of two variables, iterated integrals<\/td>\n(H-H) 16.1, 16.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F12<\/td>\n09\/17\/12<\/a><\/td>\nWeiss<\/td>\nquadric surfaces<\/td>\n(Barr) 1.3<\/td>\nno<\/td>\n<\/tr>\n
F12<\/td>\n10\/12\/12<\/a><\/td>\nWeiss<\/td>\ndifferentiation, chain rule<\/td>\n(Barr) 3.5, 3.6<\/td>\nno<\/td>\n<\/tr>\n
F12<\/td>\n11\/26\/12<\/a><\/td>\nWeiss<\/td>\nparths, arclength, line integrals<\/td>\n(Barr) 5.1, 5.2<\/td>\nno<\/td>\n<\/tr>\n
F12<\/td>\n11\/30\/12<\/a><\/td>\nWeiss<\/td>\ndouble integrals, triple integrals<\/td>\n(Barr) 5.3, 5.4<\/td>\nno<\/td>\n<\/tr>\n
W12<\/td>\n02\/02\/12<\/a><\/td>\nNelson<\/td>\nrectangular coordinates, functions of two variables, quadric surfaces<\/td>\n(Barr) 1.1, 1.2, 1.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W12<\/td>\n03\/05\/12<\/a><\/td>\nNelson<\/td>\nderivatives and motion, graphs, level sets, limits, arclength<\/td>\n(Barr) 1.10, 3.1, 3.2, 5.1<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W12<\/td>\n03\/30\/12<\/a><\/td>\nNelson<\/td>\ndivergence, curl, local extrema, double integrals<\/td>\n(Barr) 4.2, 4.4, 5.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F11<\/td>\n09\/19\/11<\/a><\/td>\nNelson<\/td>\nfunctions of two variables, quadric surfaces<\/td>\n(Barr) 1.1, 1.2, 1.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F11<\/td>\n09\/28\/11<\/a><\/td>\nNelson<\/td>\nvectors, dot products, projections<\/td>\n(Barr) 1.5, 1.6<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F11<\/td>\n10\/26\/11<\/a><\/td>\nNelson<\/td>\nlimits, partial derivatives<\/td>\n(Barr) 3.2, 3.4<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F11<\/td>\n11\/02\/11<\/a><\/td>\nNelson<\/td>\ntotal derivative, chain rule<\/td>\n(Barr) 3.5, 3.6<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F11<\/td>\n11\/30\/11<\/a><\/td>\nNelson<\/td>\nlocal extrema, paths, arclength, line integrals<\/td>\n(Barr) 4.4, 5.1, 5.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W11<\/td>\n01\/21\/11<\/a><\/td>\nRoss<\/td>\n(Quiz 1) quadric surfaces, dot products, projection<\/td>\n(Barr) 1.3, 1.6<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W11<\/td>\n01\/28\/11<\/a><\/td>\nRoss<\/td>\n(Quiz 2) lines in R^3, path parametrization<\/td>\n(Barr) 1.8, 1.9, 1.10<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W11<\/td>\n02\/04\/11<\/a><\/td>\nRoss<\/td>\n(Quiz 3) derivatives of vector-valued functions, product rules, level curves, limits<\/td>\n(Barr) 1.10, 3.1, 3.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W11<\/td>\n02\/18\/11<\/a><\/td>\nRoss<\/td>\n(Quiz 4) partial derivatives, Jacobian, total derivative, linear approximation<\/td>\n(Barr) 3.4, 3.5<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W11<\/td>\n03\/04\/11<\/a><\/td>\nRoss<\/td>\n(Quiz 5) chain rule, gradient, directional derivative<\/td>\n(Barr) 3.6, 4.1<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W11<\/td>\n03\/11\/11<\/a><\/td>\nRoss<\/td>\n(Quiz 6) gradient, directional derivatives and tangent planes, div and grad, plotting vector fields<\/td>\n(Barr) 4.1, 4.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W11<\/td>\n03\/25\/11<\/a><\/td>\nRoss<\/td>\n(Quiz 7) path parametrization and arclength<\/td>\n(Barr) 5.1<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F10<\/td>\n09\/17\/10<\/a><\/td>\nRoss<\/td>\n(Quiz 1) equations of spheres, plotting functions f(x,y)=z<\/td>\n(Barr) 1.1, 1.2, 1.3<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F10<\/td>\n09\/24\/10<\/a><\/td>\nRoss<\/td>\n(Quiz 2) dot and cross products<\/td>\n(Barr) 1.5, 1.6, 1.7<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F10<\/td>\n10\/01\/10<\/a><\/td>\nRoss<\/td>\n(Quiz 3) planes and lines in R^3; parametrization of paths<\/td>\n(Barr) 1.8, 1.9<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F10<\/td>\n10\/17\/10<\/a><\/td>\nRoss<\/td>\n(Quiz 4) vector fields, level sets, limit definition<\/td>\n(Barr) 3.1 3.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F10<\/td>\n11\/01\/10<\/a><\/td>\nRoss<\/td>\n(Quiz 5) numerical estimation of partial derivatives, chain rule<\/td>\n(Barr) 3.4, 3.5, 3.6<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F10<\/td>\n11\/19\/10<\/a><\/td>\nRoss<\/td>\n(Quiz 6) paths, arclength, line integrals, work done by a vector field<\/td>\n(Barr) 5.1, 5.2<\/td>\nyes<\/a><\/td>\n<\/tr>\n
F10<\/td>\n12\/06\/10<\/a><\/td>\nRoss<\/td>\n(Quiz 7) parameterized surfaces, surface integrals<\/td>\n(Barr) 5.5, 5.6<\/td>\nyes<\/a><\/td>\n<\/tr>\n
W10<\/td>\n01\/15\/10<\/a><\/td>\nHaines<\/td>\nvectors, dot product, projection<\/td>\n(Barr) 1.5, 1.6<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n01\/20\/10<\/a><\/td>\nHaines<\/td>\ncross product, planes, lines<\/td>\n(Barr) 1.7, 1.8<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n01\/22\/10<\/a><\/td>\nHaines<\/td>\nvectors and lines in higher dimensions<\/td>\n(Barr) 2.1<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n01\/25\/10<\/a><\/td>\nHaines<\/td>\nquadratic forms<\/td>\n(Barr) 2.5<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n01\/27\/10<\/a><\/td>\nHaines<\/td>\nlevel curves<\/td>\n(Barr) 3.1<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n01\/29\/10<\/a><\/td>\nHaines<\/td>\nlimits<\/td>\n(Barr) 3.2<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n02\/01\/10<\/a><\/td>\nHaines<\/td>\nopen sets, closed sets, bounded sets<\/td>\n(Barr) 3.3<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n02\/10\/10<\/a><\/td>\nHaines<\/td>\nthe total derivative<\/td>\n(Barr) 3.5<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n02\/12\/10<\/a><\/td>\nHaines<\/td>\nthe chain rule<\/td>\n(Barr) 3.6<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n02\/22\/10<\/a><\/td>\nHaines<\/td>\ndirectional derivatives<\/td>\n(Barr) 4.1<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n02\/24\/10<\/a><\/td>\nHaines<\/td>\ndivergence and curl<\/td>\n(Barr) 4.2<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n02\/26\/10<\/a><\/td>\nHaines<\/td>\nTaylor polynomials<\/td>\n(Barr) 4.3<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n03\/01\/10<\/a><\/td>\nHaines<\/td>\nlocal extrema<\/td>\n(Barr) 4.4<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n03\/03\/10<\/a><\/td>\nHaines<\/td>\npaths and arclength<\/td>\n(Barr) 5.1<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n03\/05\/10<\/a><\/td>\nHaines<\/td>\nline integrals<\/td>\n(Barr) 5.2<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n03\/08\/10<\/a><\/td>\nHaines<\/td>\ndouble integrals<\/td>\n(Barr) 5.3<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n03\/17\/10<\/a><\/td>\nHaines<\/td>\nsurface area<\/td>\n(Barr) 5.5<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n03\/19\/10<\/a><\/td>\nHaines<\/td>\nsurface integrals<\/td>\n(Barr) 5.6<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n03\/22\/10<\/a><\/td>\nHaines<\/td>\nchange of variables in double integrals<\/td>\n(Barr) 5.7<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n03\/24\/10<\/a><\/td>\nHaines<\/td>\nchange of variables in triple integrals<\/td>\n(Barr) 5.8<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n03\/26\/10<\/a><\/td>\nHaines<\/td>\nchange of variables in triple integrals<\/td>\n(Barr) 5.8<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n03\/29\/10<\/a><\/td>\nHaines<\/td>\npath integrals<\/td>\n(Barr) 6.1<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n03\/31\/10<\/a><\/td>\nHaines<\/td>\npath integrals<\/td>\n(Barr) 6.1<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n04\/02\/10<\/a><\/td>\nHaines<\/td>\nGreen’s Theorem<\/td>\n(Barr) 6.2<\/td>\nno<\/td>\n<\/tr>\n
W10<\/td>\n04\/05\/10<\/a><\/td>\nHaines<\/td>\nthe Divergence Theorem<\/td>\n(Barr) 6.3<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n01\/15\/09<\/a><\/td>\nHaines<\/td>\nvectors, dot product, projection<\/td>\n(Barr) 1.5, 1.6<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n01\/20\/09<\/a><\/td>\nHaines<\/td>\ncross product, planes, lines<\/td>\n(Barr) 1.7, 1.8<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n01\/22\/09<\/a><\/td>\nHaines<\/td>\nvectors and lines in higher dimensions<\/td>\n(Barr) 2.1<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n01\/27\/09<\/a><\/td>\nHaines<\/td>\nquadratic forms<\/td>\n(Barr) 2.5<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n01\/29\/09<\/a><\/td>\nHaines<\/td>\nfunctions from R^2 to R^3, graphs<\/td>\n(Barr) 3.1<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n02\/12\/09<\/a><\/td>\nHaines<\/td>\nthe total derivative, the chain rule<\/td>\n(Barr) 3.5, 3.6<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n02\/24\/09<\/a><\/td>\nHaines<\/td>\ngradient, directional derivative<\/td>\n(Barr) 4.1<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n02\/26\/09<\/a><\/td>\nHaines<\/td>\ngradient, Hessian matrix, Taylor polynomials<\/td>\n(Barr) 4.3<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n03\/03\/09<\/a><\/td>\nHaines<\/td>\narclength<\/td>\n(Barr) 5.1<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n03\/05\/09<\/a><\/td>\nHaines<\/td>\nline integrals<\/td>\n(Barr) 5.2<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n03\/19\/09<\/a><\/td>\nHaines<\/td>\nparametrized surfaces, surface area, surface integrals<\/td>\n(Barr) 5.5, 5.6<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n03\/24\/09<\/a><\/td>\nHaines<\/td>\nchange of variables in double integrals<\/td>\n(Barr) 5.7<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n03\/26\/09<\/a><\/td>\nHaines<\/td>\nchange of variables in triple integrals<\/td>\n(Barr) 5.8<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n03\/31\/09<\/a><\/td>\nHaines<\/td>\npath integrals<\/td>\n(Barr) 6.1<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n04\/02\/09<\/a><\/td>\nHaines<\/td>\nGreen’s Theorem<\/td>\n(Barr) 6.2<\/td>\nno<\/td>\n<\/tr>\n
W09<\/td>\n04\/07\/09<\/a><\/td>\nHaines<\/td>\nthe Divergence Theorem<\/td>\n(Barr) 6.3<\/td>\nno<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

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