Maple and Online Material

MTH243 Multivariable Calculus
Spring 2007



Online material:

Graphical demonstrations for multivariable calculus by Prof. Kaskosz:

• Parametric Curves in 3D  Plot parametric curves in the xyz-space. Find many examples and practice problems.
• Parametric Surfaces in Cylindrical Coordinates  Plot interesting surfaces while practicing cylindrical coordinates.
• Spherical Coordinates  Become familiar with spherical coordinates. Enjoy many practice problems.
• Parametric Surfaces in Spherical Coordinates  Plot surfaces while practicing spherical coordinates.
• Parametric Surfaces  Check out some amazing parametric surfaces! Create your own.
• 3D Function Grapher  Plot functions of two variables. Nice colors!
• 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.

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. Below are links to Maple worksheets for MTH 243. Worksheets for maple assignments to be graded will be assigned in class. The assignments will be based on the maple worksheets below. To open the worksheets you need a copy of Maple on the machine you are working on. Maple is available in all URI computer labs. You may purchase a student copy to install on your personal computer.

In case you encounted any problem with the 'Parametric Curves and Surfaces' worksheet, click below on parsur.html. It will display the workshhet as a webpage.

Worksheet	Maple 7 and 9	Maple 10
Graphs of Functions of Two Variables	graphs.mws	graphs-m10.mws
Contour Diagrams	contours.mws	contours-m10.mws
Parametric Curves and Surfaces	parsur.mws	parsur-m10 part1   parsur-m10 part2
'Parametric Curves and Surfaces' as a web page	parsur.html
Partial Derivatives and Tangent Planes	tangent.mws	tangent-m10.mws
Gradients, Directional Derivatives and Rates of Change	gradients.mws	gradients-m10.mws
Lagrange Multipliers	lagrange.mws	lagrange-m10.mws
Double Integrals	doubint.mws	doubint-m10.mws
Graphics Showcase	show.mws	show-m10.mws

Information on Maple 9:   If you are using Maple 9, let maple 9 to translate the worksheets from our web page into the maple9 format. Then the worksheets will work fine.

Information on Maple 10:   If you are using Maple 10 (for example in the library), let maple 10 to translate the maple10 worksheets (if asked by maple) from our web page into the maple10 format. Then the worksheets will work fine.

A general info on maple worksheets:   The name for the number pi in maple is 'Pi'. 'pi' is used to name a number theoretic function and will give you an error message (usually 'not able to evaluate your fuction' message).