This course is a continuation of MAT 151. Topics covered include vector-valued functions, functions of several variables, partial differentiation with applications, multiple integrals with applications, vector calculus (including Green's, Stokes' and Divergence Theorems).
C- or better in MAT 151
Thomas' Calculus (Early Transcendentals), 11 th edition, by Weir, Hass & Giordano, Addison-Wesley (Pearson) Publishers
TI-83 or TI-84
1. Cylinders and Quadric Surfaces: 12.6
2. Vector-valued functions and Motion in Space: 13.1-13.5
3. Functions of Several Variables and Partial Differentiation: 14.1-14.9
4. Multiple Integrals: 15.1-15.7
5. Vector Fields: Line & Surface Integrals, Green's, Stokes' & Divergence Theorems: 16.1-16.8
| Quizzes | 100 |
points |
| Maple Work : | 50 |
points |
| Test #1: | 100 |
points |
| Test #2: | 100 |
points |
| Final Exam: | 150 |
points |
Quizzes: There will be quizzes (times to be announced in class) that will emphasize definitions and results seen in class. A missed quiz is assigned a grade of zero. I WILL DROP YOUR LOWEST QUIZ GRADE.
Tests/Final: THERE WILL BE NO MAKE-UP TESTS. If you miss an exam because of an emergency, written documentation is to be provided to justify the absence, in which case the weight of that exam will be incorporated with the other grades.
THE IMPORTANCE OF ATTENDANCE AND COMPLETION OF HOMEWORK ASSIGNMENTS ON TIME CANNOT BE STRESSED ENOUGH. Read the assigned sections before and after the class lecture is given. When doing homework, use the back of the book to check your answers, and ask questions if you experience difficulty. You are strongly encouraged to participate in study groups; helping each other is a great way to learn. STUDENTS ARE RESPONSIBLE FOR ANY AND ALL MATERIAL MISSED DUE TO ABSENCE.
Students passing MAT 252 should minimally be able to do each of the following tasks:
By hand (without the use of technology):
Identify the equations of quadric surfaces and basic cylinders.
Differentiate and integrate vector-valued functions and understand their applications.
Find the partial derivatives of a variety of functions, including the multi-variable chain rule.
Compute gradients and directional derivatives and understand their applications.
Set up optimization problems (in particular, Lagrange multipliers).
Locate extrema and saddle points.
Set up and evaluate iterated integrals (both double and triple integrals).
State and use Green's theorem, the divergence theorem and Stokes' theorem.
Using technology (Graphing calculator and computer algebra system):
Graph curves and surfaces in R 3 (in particular level curves and surfaces) and use them to help set up calculations of relevant quantities.
Set up and evaluate complicated iterated integrals that represent area, volume, arc length, and other applications.
Find partial derivatives using the symbolic capabilities of a computer algebra system.
Symbolically compute vector and scalar quantities relating to vector-valued functions (such as velocity, acceleration, tangent and normal vectors, or curvature) or functions of several variables (such as gradient or directional derivative).
Compute div, curl and grad for a vector-valued function.
Before you receive course accommodations in this class, you will need to make an appointment with the Disability Resource Office. However, if you have other information you would like to speak with me about, or if you have emergency medical information to share with me, or if you need special arrangements in case the building must be evacuated, please let me know as soon as possible.