**Mathematica Notebooks for ChEg 542, Applied Mathematics**

This one shows how many of the simple methods of linear algebra work and how to implement them in *Mathematica*. It is based on the first chapter of A. Varma, M. Morbidelli, *Mathematical Methods in Chemical Engineering.*

Basic Linear Algebra (PDF)

Basic Linear Algebra (Notebook format)

Here are some other less elaborate notebooks

Simplex Method (PDF)

Simplex Method (Notebook format)

Linear Regression (PDF)

Linear Regression (Notebook format)

Linear Vectors and Spaces (PDF)

Linear Vectors and Spaces (Notebook format)

Expansion of an arbitrary vector and solution of linear equations (PDF)

Expansion of an arbitrary vector and solution of linear equations (Notebook format)

Generalized eigenvalue problems (PDF)

Generalized eigenvalue problems (Notebook format)

Solution of a system of first order ODES by eigenvector expansion (PDF)

Solution of a system of first order ODES by eigenvector expansion (Notebook format)

Similarity Transforms (PDF)

Similarity Transforms (Notebook format)

Green's Functions (PDF)

Green's Functions (Notebook format)

Differential eigenvalue problems (PDF)

Differential eigenvalue problems (Notebook format)

Spectral solution methods for differential equations (PDF)

Spectral solution methods for differential equations (Notebook format)

Spectral numerical solutions for boundary value and eigenvalue problems (PDF)

Spectral numerical solutions for boundary value and eigenvalue problems (Notebook format)