University of Rhode Island    Department of Mathematics

MTH 243/1000   Calculus III 

Summer 2014

MTWTh 8-9:45 a.m. Lippitt Hall 204

 

Instructor: Dr. M. Kulenovic, Lippitt Hall 202D, 874-4436, mkulenovic@mail.uri.edu

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

Introduction
MTH 243 is a third calculus course, with the focus on functions of 2,3, 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.

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 +10Mp) / 100

Key: E1 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. 

Special Accomodations
Students who need special accomodations and who have documentation from Disability Services (874-2098) should make arrangements with Dr. Kulenovic as soon as possible.

Summer Tutoring

Multivariable Calculus Mathlets

Mathematica Worksheets

The practice problems, exams and Mathematica Notebooks are part of Sakai package.

 

MTH 243-1000  Calculus III Summer 2014

Day

 Event

Text  

Problems 

Monday, May 19

 

12.1

11,12,19-22, 29, 34 

 

 

12.2 

1,5,7,9,11,16,18,19 

 May 20

 

12.3 

1,4,5,7,10,20,28,30 

 

 

12.4 

1,2,8,10,11,23,2430 

 May 21

 

12.5 

1,2,7,8,28 

 

 

13.1 

1-6,8,14,29,30 

 May 22

 

13.2 

11,14,19,28,30 

 

 

 May 27

 

13.3 

1,4,8,14,16,19,2736,37,42 

 May 28

 

13.4 

1,4,5,10,19,22,27 

 

 

14.1 

1,3,7,14,17,20

 May 29

 

14.2 

1,4,5,14,22-28,35,41 

May 30

 

14.3 

1-7,14,15,22, 

 

 

14.4 

1-7,19,22,29,35,49,59 

 June 2

 

14.5 

1-11,14,19,23,28,35 

 

 

14.6 

1,4,7,11,14,20,23 

 June 3

 

14.7 

1-10,14,22,31,35 

 

 

15.1 

1-11,19-22 

 June 4

 

15.2 

2,5,7,14-16,19-21,23

16.1

3,5,7,11

 June 5

 EXAM 1

16.2 

1-7,11-14,18,28-30,34-40

 

 

16.3

1-5,7-11,28-31,41,42

 June 9

 

16.4

1,4,5-11,14,16,17,20-23

 June 10

 

16.5

1-7,14-16,20-23,31,32,35 

 

 

16.7

1-4,10,11

 June 11

 

17.1

1-11,19,20,28,32,35,41,47

 

 

17.2

1-7,14-16,22-28,

 June 12

 

17.4

1-10

 

 

18.1

1,3,5-10,14-16

 June 16

 

18.2

1-11,16

 

 

18.3

1-6,11,14,19,22,28

 June 17

EXAM 2

18.4

1-7,16,19,22 

 

 

19.1

1-4,10,11,14,19 

 June 18

 

19.2

1-10

 

 

20.1

1-11,14,19

 June 19

  FINAL EXAM