University of Rhode Island Department of
Mathematics
MTWTh
89:45 a.m. Swan Hall 201
Instructor:
Dr. M. Kulenovic, Lippitt Hall 202D, 8744436, mkulenovic@mail.uri.edu 
Text:
McCallum, HughesHallet, et. al., Multivariable
Calculus, 6th Edition 
Prerequisites:
MTH 142 or equivalent 
Calculators:
A graphing calculator is required 
Office Hours:
MTWTh 12 
Introduction
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 Green’s
theorem.
Evaluation
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 +10Ma) /
100
Key: E1
and E2 correspond to Exams, FE = Final Exam, CW = Class
Work(Quizzes), Ma=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.
Special Accomodations
Students who
need special accomodations and who have documentation
from Disability Services (8742098) should make arrangements with Dr. Kulenovic as soon as possible.
Multivariable Calculus Mathlets
Mathematica Worksheets
The practice problems, exams and Mathematica Notebooks are part of Sakai package.
MTH
243/1000 Calculus III Summer 2017


