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Maple

Maple Powertools



This is a set of Maple 8 lessons for an undergraduate course in Calculus IV or Vector Calculus, created by Dr. Jack Wagner. This course uses the new VectorCalculus package in Maple 8 to introduce the student to vector derivatives, differential geometry, integrals over vector fields, and the classic theorems of Green, Gauss and Stokes.

Each lesson provides numerous examples of solved problems, with rigorous justifications for the techniques and the Maple commands used to implement them. There are exercises at the end of each lesson.

Download the entire course for Maple 8

Preview or download individual lessons below




Maple 8 Worksheets for Calculus IV
Lesson 1 Directional Derivatives preview download
Lesson 2 Gradient, Divergence, Curl and Laplacian preview download
Lesson 3 Multivariate Extrema, Newton's Method and Taylor Series preview download
Lesson 4 Constrained Optimization with Lagrange Multipliers preview download
Lesson 5 Differential Geometry of Curves preview download
Lesson 6 Curvature preview download
Lesson 7 Differential Geometry of Surfaces preview download
Lesson 8
Arc Length and Line Integrals
Lesson 9 Surface Area preview download
Lesson 10 Surface Integrals preview download
Lesson 11 Volumes, Volume Integrals and Change of Variables preview download
Lesson 12 The Integral Theorems of Green, Stokes and Gauss preview download

 

 



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Maple - single user licence
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Maple for WIN/MAC/LX: concurrent licence (incl. 1 Home Use licence CD)
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Product Reviews

"Without the Maple software, we would have to spend weeks generating the equations of motion for every experiment. Then the chances that we did it right would basically be near zero. There would always be a mistake somewhere. It is very difficult to set up a dynamic motion model by hand."
- Jean-Claude PiedBeouf, Ph.D Manager of Robotics, Canadian Space Agency

"Its very good - highly accurate and easy to use. The speed of Maple allows me to change equations and quickly reintegrate them into the application, so more possibilities can be explored to achieve the precise effect desired."
Shawn Neely, Senior R & D Director for PDI/Dreamworks
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Adept Scientific | Mannerheimintie 12 B, 5th floor | FIN-00100 Helsinki | Finland | Tel: 0 800 77 32 50