MTH 243 Multivariable Calculus
Sections 2, 3 Spring 2009

• Text: McCallum,Hughes-Hallett, et.al., Multivariable Calculus, Fourth Edition.
• Online Homework: We will use free online homework WeBWorK.
  An announcement will be posted on this page when the system is set up.
• Calculators: A graphing calculator is required.
• Instructor: Barbara Kaskosz, Lippitt Hall 202J, 874.4445, bkaskosz@math.uri.edu

You will find here practice exams, perhaps some solutions, etc.

There will be plenty of help available during the semester: your instructor's office hours, tutoring at the Academic Enhancement Center and at Lippitt Hall. Click on the first link below for the current schedule:

Spring 2009 Tutoring Schedule    Instructors' Office Hours    Math Department Home Page

THE ACADEMIC ENHANCEMENT CENTER: The work in this course can be difficult.  You can seek help at the Academic Enhancement Center (AEC) in Roosevelt Hall. For a complete schedule go to www.uri.edu/aec, call (401) 874-2367, or stop by the fourth floor in Roosevelt Hall.

Exams and Evaluation

There will be two exams given in the evenings and the Final Exam:

Exam 1, W, Feb 25, 6- 7:30, SWAN AUD;
Exam 2, W, Apr 1, 6- 7:30, SWAN AUD.

Final Exam:  T, May 5, 11:30-2:30, CBLS 100.

Your grade will be based upon a possible total of 700 points, as follows:

• Two evening exams at 150 points each -- 300 points,
• Final exam -- 200 points,
• Quizzes, Homework, and Maple assignments -- 200 points.

The latter 200 points are divided as follows: 70 points for Quizzes, 60 points for Maple, 70 points for WeBWorK. There will be no makeup quizzes but two worst quiz scores will be dropped.

Maple Worksheets

We will continue our work with Maple in this course. This powerful software is particularly useful in multivariable calculus to visualize graphs and surfaces in three dimensions. Maple worksheets and assignments will be posted here as we go along. The first one is already posted.

Each Maple worksheet is posted in two forms: as an interactive worksheet with the extension 'mw', say, graphs_m12.mw, and in the non-interactive 'html' form. The 'mw' worksheets have been created in Maple 12 so you may not be able to open them in earlier versions of Maple. In that case, open the html version in your browser to see the content and the homework problems.

To download an interactive worksheet, right-click on it, go to 'Save Link As' and save it with the extension 'mw', say, 'graphs_m12.mw'. Orleft-click on it and svae what ever opens as say, 'graphs_m12.mw'. Once you save a 'mw' file, open it in Maple.

• graphs_m12.mw      graphs_m12.html     Homework due: February 12, 2009.
• contours_m12.mw      contours_m12.html     Homework due: March 3, 2009.

WeBWorK

Note: New WeBWorK sets are posted. These conclude WeBWorK assignments for the semester.

Another Important Note: WebWorK assignments posted earlier are due March 13. I urge those of you who didn't do them yet to do it asap. WeBWorK is a part of your grade.

WebWorK login page:  Webwork login.   (Reload the page if necessary.)

Note: WeBWorK is free and does not require you to purchase any access code.

You can find useful tips on using WeBWorK at: WebWorK Wiki: Students

Selected Class Notes

I will be posting below selected class notes in the pdf format.

• February 10  February 12
• February 17, 19
• February 24, 26  Note: A typo on page 6: in "Th", part (1), it should be 'nabla' f(a,b); that is, it should be the gradient of f at (a,b) and not the gradient at (x,y).
• March 2, 4   March 10
• March 24, 26   March 31, April 2
• April 7, 9   April 14, 16
• April 21, 23

Mathlets

You may find the following applets useful.

• Contour Diagram Plotter and 3D Function Grapher Combined  Plot contour diagrams of functions of two variables. Draw the 3D graph of same function in and compare the two ways of visualizing functions of two variables.
• 3D Function Grapher  The user enters a formula for f(x,y) and the x and z ranges.
• Parametric Curves and Motion in 3D  The user enters parametric equations for an arbitrary curve in xyz-space. The curve can be traced while the velocity and the acceleration vectors are displayed as well as their approximate values.
• Parametric Surfaces in Rectangular Coordinates  The user enters parametric equations for rectangular coordinates, the applet draws a surface that can be rotated in real time.
• Parametric Surfaces in Cylindrical Coordinates  The user enters parametric equations for cylindrical coordinates.
• Spherical Coordinates Presented Interactively  Become familiar with spherical coordinates. Enjoy many practice problems.
• Parametric Surfaces in Spherical Coordinates  The user enters parametric equations for spherical coordinates.
• Regions Described by Double Integrals  Enter limits in double integrals in rectangular and polar coordinates to see the region described by those limits. Practice finding limits which describe a given region.
• Implicit Equations Grapher  Enter an equation of the form f(x,y)=g(x,y), x and y ranges, and the applet will plot the implicit curve for you.