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Maple

Maple Powertools




This is a complete set of Maple lessons for an undergraduate course in Linear Algebra. These 30 lessons were developed by Michael K. May and Russell Blyth of the Saint Louis University.

These worksheets follow the material in the text "Linear Algebra, Ideas and Applications" by Richard Penney, published by Wiley Press, ISBN: 047118179X. The worksheets vary from a straightforward adaptation of the material in the "On Line" sections of the book to worksheets that develop supplemental material that the instructor thought appropriate at that point in the course.

Depending on what the instructor thought most effective for a particular class and section of material, the worksheets have been designed in several different models. They are described as the classroom activity model, the teacher demonstration model, and the Maple feature demonstration model.

Download the entire course

Preview or download individual lessons below

 


Maple Worksheets for Linear Algebra 1
Part I Classroom Activity Worksheets for Linear Algebra 1
  Just Enough Maple For Linear Algebra preview download
On Line 1.2 Working with and plotting vectors preview download
On Line 1.3 Systems of Linear Equations preview download
On Line 1.4 Gaussian Elimination preview download
On Line 1.5 Solving Matrix Equations preview download
On Line 2.1 Testing For Linear Independence preview download
On Line 2.2 Dimension preview download
On Line 2.3 Constructing Random Matrices with specified rank preview download
On Line 3.1 Visualizing Linear Transformations in R^2 preview download
On Line 3.2 Visualizing Linear Transformations in R^3 preview download
On Line 3.3 Image of a Transformation preview download
On Line 3.5 The LU Decomposition preview download
On Line 4.1 Coordinates preview download
On Line 4.3 Fourier Approximations preview download
On Line 6.1 Eigenvectors and Eigenvalues preview download
On Line 6.2 Diagonalization preview download
Part II Teacher Demonstration worksheets for Linear Algebra I
In Class 2.3 Basic matrix computations preview download
In Class 3.4 Inverses preview download
In Class 4.3 Fourier approximations preview download
In Class 6.5a Quadratic forms I preview download
In Class 6.5b Quadratic forms II preview download
Part III Maple feature demonstration worksheets for Linear Algebra I
Section 1.1 Plotting Systems of Linear Systems in 2 & 3 Variables preview download
Section 1.2 Solving a system by Gaussian Elimination preview download
Section 2.2 Basic Matrix Operations preview download
Section 2.3 Finding the Inverse of a Matrix preview download
Maple Worksheets for Linear Algebra II
Part IV Maple Worksheets for Linear Algebra II
  Jordan and Rational Blocks preview download
  Gram Schmidt Orthogonalization preview download
  Legandre Polynomial approximation preview download
  Chebyshev Polynomial approximation preview download
  Jacobi Polynomial approximations preview download

 



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"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."
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