Old Math 206 Quizzes
Click on the date of each quiz in order to view it. If a solution set is available, you may click on it at the far right.
Text sections refer to the second edition of Vector Calculus by Barr.
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| Term |
Date |
Instructor |
Topic(s) |
Text Sections |
Solutions |
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 |