University of Rhode Island Department of Mathematics
MTWTh 8-9:45 a.m. Lippitt Hall 204
Instructor: Dr. M. Kulenovic, Lippitt Hall 202D, 874-4436, firstname.lastname@example.org
Text: McCallum, Hughes-Hallet, et. al., Multivariable Calculus, 6-th Edition
Prerequisites: MTH 142 or equivalent
Calculators: A graphing calculator is required
Office Hours: MTWTh 1-2
MTH 243 is a third calculus course, with the focus on functions of two, three or more variables and the extensions of the ideas of elementary single variable calculus to higher dimension. We will continue to use Mathematica in this course. The Mathematica software is available in the campus computer labs and can be downloaded t. Our work with Mathematica will be organized into Mathematica projects that you can download from SAKAI.
Objectives. At the conclusion of this course you will be able to:
1. Read and interpret 3d plots and 2d/3d contour diagrams, read and interpret tables of functions of several variables, and plot by hand the graph of simple functions of 2 variables, and simple contour plots of functions in† 2 or 3 variables.
2. Do calculations with vectors that involve the concepts of addition, scalar multiplication, dot product, cross product, magnitude, projection, and use these concepts in geometry and physics applications.
3. Calculate partial and directional derivatives, gradients and differentials of function of several variables, use local linearization to approximate functions,
4. Calculate critical points, use the second derivative test to determine local extremal and saddle points (for functions of two variables only), use these concepts to solve unconstrained optimization problems.
5. Calculate double and triple integrals algebraically, change variables in integrals from rectangular coordinates to polar, cylindrical, spherical coordinates (and vice versa).
6. Use the concept of parametrization to represent curves and surfaces
7. Represent and interpret plots of vector fields (including flow lines)
8. Use vector valued functions to do calculations of line integrals, flux integrals, divergence, and curl, apply these concepts to problems in physics and geometry,
9. Calculate flux integrals geometrically and algebraically over surface graphs, portions of cylinders, and portions of spheres.
10. Use and interpret the Greenís theorem.
There will be two exams and a comprehensive final exam. The course grade will be computed as follows:
Course grade = (25 E1 + 25 E2 + 30 FE + 10 CW +10Mp) / 100
and E2 correspond to Exams, FE = Final Exam, CW = Class Work(Quizzes), Mp=Mathematica.
How to get help
I may help you with questions, just stop by my office. There will be tutors available as well. See Summer tutoring schedule below.
Students who need special accomodations and who have documentation from Disability Services (874-2098) should make arrangements with Dr. Kulenovic as soon as possible.
The practice problems, exams and Mathematica Notebooks are part of Sakai package.
MTH 243/1000 Calculus III Summer 2015