MTH 243/URI
CALCULUS FOR FUNCTIONS OF SEVERAL VARIABLES
Spring 1999

Text: MultivariableCalculus by Hughes-Hallet, Gleason, Lock et al.

Exams and Grading: Your grade will be based on three tests, a final exam, and classwork as follows:
 
Three tests at 100 points each 300 points 
Final exam 200 points
Classwork 100 points
Total 600 points
Calculators and Computers: As in MTH 141 and 142 you will need a programmable graphing calculator. You will be provided with necessary programs for the following types calculators: TI 81,TI 82, TI 83, TI 85, Casio fx-7700GB, Sharp EL-9200, Sharp EL-9300. You are encouraged to use the CAS (computer algebra system) such as MAPLE, MATHVIEW, and Scientific Notebook and online programs that can be found on Internet. We will give a brief introduction to such resources.

Course Description: In MTH 243 we study functions of more than one variable and expand the calculus ideas and methods of MTH 141-142 to the multivariable setting. This subject has wide applications in the physical sciences, engineering, statistics, and economics, as well as leading to many advanced areas of mathematics itself. You will find that the material in this course has a more geometric flavor than one-variable calculus, and there are new algebraic ideas to master as well.
 

The homework problems are the core of this course. An important purpose of the problems is to make you think through and master the ideas of the subject so that you can confidently apply your knowledge in new situations. You will learn a great deal from honest hard work on a problem, even if you don't succeed in solving it. Read the text material before working on the problems.
The exams will reflect the variety of the homework problems. It is important that you give these problems adequate time and effort.

Classwork: The distribution of the 100 points will be decided by your instructor. It may include homework, quizzes, class participation, etc.
 
 

                                                     Syllabus
 
Week Sections Suggested Homework Problems Exams/Events
01/18 11.2 1,3,9,11,13,18,19
11.3 2,3,4,5,10 
01/25 11.4 1,2,3,8,9,11,22,23
11.5 1,2,5,7,13-15
12.1 1,3-8,21,22,27,28
02/01 12.2 1-4,6,8,9,13,15
12.3 1,3,5,7,8,10,13,20
12.4 1,3,5,8,13-15
02/08 13.1 1,3,5,9,14,15
13.2 1-5,7,11,15,17,22
13.3 1,4,5,11,12,15,21
02/15 13.4 1,3,5,8,13-15
13.5 1,7,9,10,13
13.6 1,3,5,9,13,15,17,18
02/22 13.7 1,3,5,9,11,15,17
14.1 1,2,5,7,12,14,17,18 Exam 1 
3/01 14.3 5-7,13,14,22
15.1 2,4,13
3/08 15.2 1,2,5-10,12,15,22
15.3 2-5,9,10,13,14
3/22 15.5 1,3,5,7,9,11-13,15,19,21
15.6 1-11,15,17,21
15.8 1,3,5
3/29 16.1 5,7,11,14,16,21,33
16.2 1,3,4,6,7,11,23,32
17.1 1,3,6,8-11
4/05 17.2 5,6,9 
18.1 1,4,5,7,10,13,15,19 Exam 2 
18.2 1,3,4,6,9,11,15
4/12 18.3 1,3,4,7,12,19
18.4 1,3,5,6,11-13
4/19 19.1 1,2,4,5,11,13,14,17
19.2 1,3,4,11,13,14
4/26 20.1 5,6,9,11,16,17 
20.2 1,2,7,9,12
5/03 20.3 1,3,5,8,11 Exam 3 
20.4 3-5,9,10

Online information: www.math.uri.edu/courses and  www.math.uri.edu/~kulenm

Instructor: Dr. M. Kulenovic, Tyler 219, X7636,                               e-mail:kulenm@math.uri.edu

Office hours: MWF:  11-12 .

Time: MWF: 10-11                                                     Room: Tyler 106

Practice problems for Exam #1

Practice problems for Exam #2

Practice problems for Exam #3

Sample Maple notebooks:

HTML Version:

Maple notebook on optimization of function of two variables