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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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Adept Scientific | Amor Way | Letchworth Garden City | Herts | SG6 1ZA | Tel: +44 (0)1462 480055