Old Math 206 Quizzes

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

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Term
Date
Instructor
Topic(s)
Text Sections
Solutions
F12
Weiss
 quadric surfaces 1.3
no
F12
Weiss
 differentiation, chain rule 3.5, 3.6
no
F12
Weiss
 parths, arclength, line integrals 5.1, 5.2
no
F12
Weiss
 double integrals, triple integrals 5.3, 5.4
no
W12
Nelson
 rectangular coordinates, functions of two variables, quadric surfaces 1.1, 1.2, 1.3
W12
Nelson
 derivatives and motion, graphs, level sets, limits, arclength 1.10, 3.1, 3.2, 5.1
W12
Nelson
 divergence, curl, local extrema, double integrals 4.2, 4.4, 5.3
F11
Nelson
 functions of two variables, quadric surfaces 1.1, 1.2, 1.3
F11
Nelson
 vectors, dot products, projections 1.5, 1.6
F11
Nelson
 limits, partial derivatives 3.2, 3.4
F11
Nelson
 total derivative, chain rule 3.5, 3.6
F11
Nelson
 local extrema, paths, arclength, line integrals 4.4, 5.1, 5.2
W11
Ross
 (Quiz 1) quadric surfaces, dot products, projection 1.3, 1.6
W11
Ross
 (Quiz 2) lines in R^3, path parametrization 1.8, 1.9, 1.10
W11
Ross
 (Quiz 3) derivatives of vector-valued functions, product rules, level curves, limits
 1.10, 3.1, 3.2
W11
Ross
 (Quiz 4) partial derivatives, Jacobian, total derivative, linear approximation 3.4, 3.5
W11
Ross
 (Quiz 5) chain rule, gradient, directional derivative 3.6, 4.1
W11
Ross
 (Quiz 6) gradient, directional derivatives and tangent planes, div and grad, plotting vector fields 4.1, 4.2
W11
Ross
 (Quiz 7) path parametrization and arclength 5.1
F10
Ross
 (Quiz 1) equations of spheres, plotting functions f(x,y)=z 1.1, 1.2, 1.3
F10
Ross
 (Quiz 2) dot and cross products 1.5, 1.6, 1.7
F10
Ross
 (Quiz 3) planes and lines in R^3; parametrization of paths 1.8, 1.9
F10
Ross
 (Quiz 4) vector fields, level sets, limit definition 3.1 3.2
F10
Ross
 (Quiz 5) numerical estimation of partial derivatives, chain rule 3.4, 3.5, 3.6
F10
Ross
 (Quiz 6) paths, arclength, line integrals, work done by a vector field 5.1, 5.2
F10
Ross
 (Quiz 7) parameterized surfaces, surface integrals 5.5, 5.6
W10
Haines
 vectors, dot product, projection 1.5, 1.6
no
W10
Haines
 cross product, planes, lines 1.7, 1.8
no
W10
Haines
 vectors and lines in higher dimensions 2.1
no
W10
Haines
 quadratic forms 2.5
no
W10
Haines
 level curves 3.1
no
W10
Haines
 limits 3.2
no
W10
Haines
 open sets, closed sets, bounded sets 3.3
no
W10
Haines
 the total derivative 3.5
no
W10
Haines
 the chain rule 3.6
no
W10
Haines
 directional derivatives 4.1
no
W10
Haines
 divergence and curl 4.2
no
W10
Haines
 Taylor polynomials 4.3
no
W10
Haines
 local extrema 4.4
no
W10
Haines
 paths and arclength 5.1
no
W10
Haines
 line integrals 5.2
no
W10
Haines
 double integrals 5.3
no
W10
Haines
 surface area 5.5
no
W10
Haines
 surface integrals 5.6
no
W10
Haines
 change of variables in double integrals 5.7
no
W10
Haines
 change of variables in triple integrals 5.8
no
W10
Haines
 change of variables in triple integrals 5.8
no
W10
Haines
 path integrals 6.1
no
W10
Haines
 path integrals 6.1
no
W10
Haines
 Green's Theorem 6.2
no
W10
Haines
 the Divergence Theorem 6.3
no
W09
Haines
 vectors, dot product, projection 1.5, 1.6
no
W09
Haines
 cross product, planes, lines 1.7, 1.8
no
W09
Haines
 vectors and lines in higher dimensions 2.1
no
W09
Haines
 quadratic forms 2.5
no
W09
Haines
 functions from R^2 to R^3, graphs 3.1
no
W09
Haines
 the total derivative, the chain rule 3.5, 3.6
no
W09
Haines
 gradient, directional derivative 4.1
no
W09
Haines
 gradient, Hessian matrix, Taylor polynomials 4.3
no
W09
Haines
 arclength 5.1
no
W09
Haines
 line integrals 5.2
no
W09
Haines
 parametrized surfaces, surface area, surface integrals 5.5, 5.6
no
W09
Haines
 change of variables in double integrals 5.7
no
W09
Haines
 change of variables in triple integrals 5.8
no
W09
Haines
 path integrals 6.1
no
W09
Haines
 Green's Theorem 6.2
no
W09
Haines
 the Divergence Theorem 6.3
no
F08
Moras
 graphs, coordinates systems, vectors, planes, lines 1.1-1.10
no
F08
Moras
 vectors, matrices, linear transformations 2.1-2.5
no
F08
Moras
 open sets, continuity 3.1-3.3
no
F08
Moras
 differentiability, continuity 3.5
no
F08
Moras
 gradient, directional derivative 4.1
no
F08
Moras
 arclength 5.1
no
F08
Moras
 surface area, surface integrals 5.5, 5.6
no
F08
Moras
 path integrals 6.1
no
F08
Moras
 Green's Theorem 6.2
no
W08
Haines
 functions of two variables, quadric surfaces 1.2, 1.3
no
W08
Haines
 parametrizing lines, equations of planes 1.7, 1.8
no
W08
Haines
 matrices, vectors, projections 1.6, 2.1, 2.2
no
W08
Haines
 quadratic forms 2.5
no
W08
Haines
 graphs of functions of two variables 3.1
no
W08
Haines
 partial derivatives 3.4
no
W08
Haines
 the total derivative, the chain rule 3.5, 3.6
no
W08
Haines
 directional derivative, divergence, curl 4.1, 4.2
no
W08
Haines
 gradient, Hessian matrix, Taylor polynomials 4.3
no
W08
Haines
 paths, arclength 5.1
no
W08
Haines
 line integrals 5.2
no
W08
Haines
 triple integrals 5.4
no
W08
Haines
 parametrized surfaces, surface area, surface integrals 5.5, 5.6
no
W08
Haines
 change of variables in triple integrals 5.8
no
W08
Haines
 change of variables in triple integrals 5.8
no
W08
Haines
 path integrals 6.1
no
W08
Haines
 Green's Theorem 6.2
no
W08
Haines
 the Divergence Theorem 6.3
no
W06
Haines
 functions of two variables, quadric surfaces 1.2, 1.3
no
W06
Haines
 vectors, dot products, projections 1.5, 1.6
no
W06
Haines
 parametrizing lines, equations of planes 1.7, 1.8
no
W06
Haines
 matrices 2.2
no
W06
Haines
 linear transformations and their geometry 2.3, 2.4
no
W06
Haines
 graphs of functions of two variables 3.1
no
W06
Haines
 limits of functions of two variables 3.2
no
W06
Haines
 sets: open, closed, bounded, unbounded 3.3
no
W06
Haines
 the Jacobian and the total derivative 3.5
no
W06
Haines
 the chain rule 3.6
no
W06
Haines
 gradient and directional derivative 4.1
no
W06
Haines
 divergence and curl 4.2
no
W06
Haines
 Hessian matrix, Hessian form, Taylor polynomials 4.3
no
W06
Haines
 local extrema 4.4
no
W06
Haines
 paths, arclength 5.1
no
W06
Haines
 line integrals 5.2
no
W06
Haines
 double integrals 5.3
no
W06
Haines
 parametrized surfaces, surface area 5.5
no
W06
Haines
 change of variables in double integrals 5.7
no
W06
Haines
 change of variables in triple integrals 5.8
no
W06
Haines
 path integrals 6.1
no
W06
Haines
 path integrals 6.1
no
W06
Haines
 Green's Theorem 6.2
no
W06
Haines
 the Divergence Theorem 6.3
no
F05
Haines
 rectangular coordinates, distance 1.1, 1.2
no
F05
Haines
 quadric surfaces 1.3
no
F05
Haines
 vectors, dot products, projections 1.5, 1.6
no
F05
Haines
 parametrizing lines, equations of planes 1.7, 1.8
no
F05
Haines
 vector-valued functions 1.9
no
F05
Haines
 derivatives of vector-valued functions 1.10
no
F05
Haines
 matrices 2.2
no
F05
Haines
 linear transformations and their geometry 2.3, 2.4
no
F05
Haines
 quadratic forms 2.5
no
F05
Haines
 graphs of functions of two variables 3.1
no
F05
Haines
 limits of functions of two variables 3.2
no
F05
Haines
 open sets and graphs 3.3
no
F05
Haines
 partial derivatives 3.4
no
F05
Haines
 the Jacobian and the total derivative 3.5
no
F05
Haines
 the chain rule 3.6
no
F05
Haines
 gradient and directional derivative 4.1
no
F05
Haines
 divergence and curl 4.2
no
F05
Haines
 Hessian matrix, Hessian form, Taylor polynomials 4.3
no
F05
Haines
 local extrema 4.4
no
F05
Haines
 local extrema 4.4
no
F05
Haines
 paths, arclength 5.1
no
F05
Haines
 paths, arclength 5.1
no
F05
Haines
 line integrals 5.2
no
F05
Haines
 line integrals 5.2
no
F05
Haines
 double integrals 5.3
no
F05
Haines
 double integrals 5.3
no
F05
Haines
 triple integrals 5.4
no
F05
Haines
 parametrized surfaces, surface area 5.5
no
F05
Haines
 surface integrals 5.6
no
F05
Haines
 surface integrals 5.6
no
F05
Haines
 change of variables in double integrals 5.7
no
F05
Haines
 change of variables in double integrals 5.7
no
F05
Haines
 change of variables in triple integrals 5.8
no
F05
Haines
 path integrals 6.1
no
F05
Haines
 path integrals 6.1
no
F05
Haines
 Green's Theorem 6.2
no
F05
Haines
 the Divergence Theorem 6.3
no
F05
Haines
 the Divergence Theorem 6.3
no
W05
Haines
 rectangular coordinates, midpoints of line segments 1.1
no
W05
Haines
 graphs of functions of two variables, quadric surfaces 1.2, 1.3
no
W05
Haines
 vectors, dot products 1.5, 1.6
no
W05
Haines
 parametrizing lines, equations of planes 1.7, 1.8
no
W05
Haines
 parametrizing lines, equations of planes 1.8
no
W05
Haines
 derivatives and integrals of vector-valued functions 1.9
no
W05
Haines
 matrices 2.2
no
W05
Haines
 linear transformations and their geometry 2.3, 2.4
no
W05
Haines
 graphs of functions of two variables 3.1
no
W05
Haines
 limits of functions of two variables 3.2
no
W05
Haines
 partial derivatives 3.4
no
W05
Haines
 the Jacobian and the total derivative 3.5
no
W05
Haines
 the chain rule 3.6
no
W05
Haines
 the gradient and the directional derivative 4.1
no
W05
Haines
 divergence and curl 4.2
no
W05
Haines
 Hessian matrix, Hessian form, Taylor polynomials 4.3
no
W05
Haines
 paths, arclength 5.1
no
W05
Haines
 paths, arclength 5.1
no
W05
Haines
 line integrals 5.2
no
W05
Haines
 line integrals 5.2
no
W05
Haines
 double integrals 5.3
no
W05
Haines
 triple integrals 5.4
no
W05
Haines
 triple integrals 5.4
no
W05
Haines
 parametrized surfaces, surface area 5.5
no
W05
Haines
 parametrized surfaces, surface area 5.5
no
W05
Haines
 surface integrals 5.6
no
W05
Haines
 surface integrals 5.6
no
W05
Haines
 change of variables in double integrals 5.7
no
W05
Haines
 path integrals 6.1
no
W05
Haines
 path integrals 6.1
no
W05
Haines
 Green's Theorem 6.2
no
W05
Haines
 the Divergence Theorem 6.3
no
W04
Haines
 rectangular coordinates, midpoints of line segments 1.1
no
W04
Haines
 graphs of functions of two variables, quadric surfaces 1.2. 1.3
no
W04
Haines
 unit vectors 1.5
no
W04
Haines
 cross products 1.7
no
W04
Haines
 parametrizing lines, equations of planes 1.8
no
W04
Haines
 derivatives and integrals of vector-valued functions 1.9, 1.10
no
W04
Haines
 matrices 2.2
no
W04
Haines
 linear transformations and their geometry 2.3, 2.4
no
W04
Haines
 graphs of functions of two variables 3.1
no
W04
Haines
 limits of functions of two variables 3.2
no
W04
Haines
 partial derivatives 3.4
no
W04
Haines
 computing the Jacobian matrix and the total derivative 3.5
no
W04
Haines
 the chain rule 3.6
no
W04
Haines
 the gradient and the directional derivative 4.1
no
W04
Haines
 divergence and curl 4.2
no
W04
Haines
 Hessian matrix, Hessian form, Taylor polynomials 4.3
no
W04
Haines
 paths, arclength 5.1
no
W04
Haines
 line integrals 5.2
no
W04
Haines
 double integrals 5.3
no
W04
Haines
 triple integrals 5.4
no
W04
Haines
 surface area 5.5
no
W04
Haines
 surface integrals 5.6
no
W04
Haines
 the fundamental theorem for path integrals 6.1
no
F03
Haines
 rectangular coordinates, midpoints of line segments 1.1
no
F03
Haines
 graphs of functions of two variables, quadric surfaces 1.2. 1.3
no
F03
Haines
 unit vectors 1.5
no
F03
Haines
 dot product, projections and components of vectors 1.6
no
F03
Haines
 cross products 1.7
no
F03
Haines
 parametrizing lines, equations of planes 1.8
no
F03
Haines
 vector-valued functions 1.9
no
F03
Haines
 derivatives and integrals of vector-valued functions 1.10
no
F03
Haines
 matrices 2.2
no
F03
Haines
 linear transformations and their geometry 2.3, 2.4
no
F03
Haines
 linear transformations and their geometry 2.3, 2.4
no
F03
Haines
 graphs of functions in two dimensions 3.1
no
F03
Haines
 limits of functions of two variables 3.2
no
F03
Haines
 maxima and minima of functions of two variables 3.3
no
F03
Haines
 partial derivatives 3.4
no
F03
Haines
 computing the Jacobian matrix 3.5
no
F03
Haines
 computing the Jacobian matrix and the total derivative 3.5
no
F03
Haines
 the chain rule 3.6
no
F03
Haines
 the gradient and the directional derivative 4.1
no
F03
Haines
 divergence and curl 4.2
no
F03
Haines
 Hessian matrix, Hessian form, Taylor polynomials 4.3
no
F03
Haines
 finding critical points 4.4
no
F03
Haines
 paths, arclength 5.1
no
F03
Haines
 line integrals 5.2
no
F03
Haines
 line integrals 5.2
no
F03
Haines
 double integrals 5.3
no
F03
Haines
 triple integrals 5.4
no
F03
Haines
 triple integrals 5.4
no
F03
Haines
 surface area 5.5
no
F03
Haines
 surface integrals 5.6
no
F03
Haines
 the fundamental theorem for path integrals 6.1
no
F03
Haines
 Green's Theorem 6.2
no
F03
Haines
 the Divergence Theorem 6.3
no
F03
Haines
 the Divergence Theorem 6.3
no
F03
Haines
 Stokes's Theorem 6.4
no