MATH361 - Multivariable Calculus
Sample Quizzes and Tests
Please note that these sample quizzes and tests
may not be entirely representative of material you will see on your quizzes and
tests. However, I have made them available to you for practice
and to help with any
quiz/test anxiety you may have.
QUIZZES
|
Semester
|
Quiz
|
Topics Covered
|
| Spring 2010 |
Quiz 1
Solution |
Graphs in R-3, basic vector operations, the dot product,
projections, conceptual cross product problems |
|
Spring
2010 |
Quiz 2
Solution |
Lines and Planes
in R-3, Plane and Space Curves, Unit Tangent Vector |
|
Spring
2010 |
Quiz 3
Solution |
Space Curves (Unit
Normal, Binormal Vectors, Osculating Plane and Normal Plane), Projectile Motion,
Level Curves of a Function of Two Variables |
|
Spring
2010 |
Quiz 4
Solution |
The Gradient and
Directional Derivatives, Optimization in Two Variables, Iterated Integrals
including Changing the Order of Integration. |
|
Spring
2010 |
Quiz 5
Solution |
Polar Coordinates,
Slopes of Polar Curves, Areas Enclosed by Polar Curves, Double Integrals Using
Polar Coordinates |
| Spring 2010 |
Quiz 6
Solution |
Evaluating Triple Integrals, Integrals for Surface Area
of parametric surfaces and surfaces of functions of two variables |
| Spring 2010 |
Quiz 7
Solution |
Setting up Triple Integrals, Triple Integrals in
Cylindrical Coordinates, Evaluating Line Integrals |
TESTS
| Semester |
Test |
Topics Covered |
|
Spring 2010 |
Test 1 Solution |
Graphs in R-3, basic vector operations, the dot product,
projections, conceptual cross product problems, Lines and Planes
in R-3, Plane and Space Curves, Unit Tangent Vector, Space Curves (Unit
Normal, Binormal Vectors, Osculating Plane and Normal Plane), Projectile Motion,
Level Curves of a Function of Two Variables, the Chain Rule |
|
Spring 2010 |
Test 2 Solution |
Gradients, Directional Derivatives,
Optimization in Two Dimensions, Iterated Integrals, Surface Areas, Polar
Coordinates, Line Integrals, Green's Theorem, Triple Integrals, Triple Integrals
in Cylindrical Coordinates, Conservative Vector Fields |
|