"The existence in our midst of computers does not mean, as some fondly suppose, that mathematicians [and others!] no longer have to think---they have to think harder than ever."

Hugh Nibley

# Brother Brown's computer algebra system references

Below are links to notebooks and worksheets in Mathematica, Maple, and wxMaxima. The purpose of the notebooks and worksheets is to help students ensure they use correct syntax for CAS tasks that commonly occur in certain math classes at BYU-Idaho. The notebooks and worksheets are quite primitive, by and large. They are not intended to be exhaustive. As a rule, the simplest syntax (within constraints imposed by a given course) is presented, together with a (possibly empty) collection of options sufficient to do the task at hand. If you know of a way to do something presented below that improves on simplicity, clarity, or correctness, please contact me. Thanks!

All non-PDF files are in .zip format, due to University policy about file formats for downloads.

Nothing in this page or any pages whose links appear below is to be construed as an endorsement of any kind.

## Quick reference guides

** Matrix operations quick references (Maple, Mathematica, Maxima)**

** **

#### Vector operations quick reference guide (Maple, Mathematica, Maxima)

## wxMaxima

### Basics

## Intro to wxMaxima

## Arithmetic of numbers

## Built-in functions

## Solving and simplifying

## Basics quick reference

## Graphics in (wx)Maxima for Math 215 (DRAFT)

## Graphics in the wxMaxima GUI (140 pages, 630 kb)

Note: This document, while still under construction, does hope to be essentially comprehensive someday.

### Calculus

#### An inroduction to using Maxima for calculus: maxima-and-calculus.pdf. This document is outdated; not everything in it works as advertised anymore. But it still can be useful. It's avaliable under the CC share-alike license.

#### One-dimensional context

## Basic Calculus I

#### Plane curves

## Parametric plots

## Polar plots

## More polar plots (DRAFT)

#### Surfaces

## Surfaces in 3d (DRAFT)

## Cylinders (DRAFT)

## Quadric surfaces (DRAFT)

## Contour plots for surfaces (DRAFT)

## Hessians and local quadratic approximations

#### Space curves

## Graphing parameterized curves in

R^3 (DRAFT)

## Parameterized periodic motion (DRAFT)

wxMaxima file (zipped) pdf gif

## Calculus of curves

(Calculating v, a, speed, T, N, curvature, B, and torsion)

## Symbolic differentiation of vector functions (DRAFT)

#### Vector fields

## Plotting vector fields

#### Linear Algebra

#### Visualizing linear transformations

#### Ordinary Differential Equations

##### Direction fields and trajectories

##### Unforced spring-mass systems

## Maple

Direction fields and trajectories

## Mathematica

Introduction to Mathematica, for students of Linear Algebra and Differential Equations