# Introduction to GNU Octave: A brief tutorial for linear algebra and calculus students

(1 review)

Jason Lachniet, Wytheville Community College

Pub Date: 2017

Publisher: Independent

Language: English

## Conditions of Use

Attribution-ShareAlike

CC BY-SA

## Reviews

The text seems to cover all the introductory topics for a new user to GNU Octave. The index and glossary were effective. I believe I could readily use this for a great deal of the computational or graphing my students use in my Introductory... read more

## Table of Contents

Contents

Preface

1 Basic operation

- 1.1 Introduction
- 1.2 Navigating the GUI
- 1.3 Matrices and vectors
- 1.4 Plotting
- Chapter 1 Exercises

2 Matrices and linear systems

- 2.1 Linear systems
- 2.2 Polynomial curve fitting
- 2.3 Matrix transformations
- Chapter 2 Exercises

3 Calculus

- 3.1 Limits, sequences, and series
- 3.2 Numerical integration
- 3.3 Parametric, polar, and implicit functions
- 3.4 Complex variables
- 3.5 Special functions
- 3.6 Symbolic operations
- Chapter 3 Exercises

4 Eigenvalue problems

- 4.1 Eigenvalues and eigenvectors
- 4.2 Markov chains
- 4.3 Diagonalization
- 4.4 Singular value decomposition
- 4.5 Gram-Schmidt and the QR algorithm
- Chapter 4 Exercises

5 Additional topics

- 5.1 Three dimensional graphs
- 5.2 Multiple integrals
- 5.3 Vector fields
- 5.4 Statistics
- 5.5 Differential equations
- Chapter 5 Exercises

6 Applied projects

- 6.1 SVD and digital image compression
- 6.2 The Gini index and nonlinear curve-fitting
- 6.3 Designing a helical strake: arc length and curvature
- 6.4 Modeling a cave passage: cubic spline curves
- 6.5 Graphs of surfaces and 3D-printing

A MATLAB compatibility

B List of Octave commands

References

Index

## About the Book

This brief book provides a noncomprehensive introduction to GNU Octave, a free open source alternative to MatLab. The basic syntax and usage is explained through concrete examples from the mathematics courses a math, computer science, or engineering major encounters in the first two years of college: linear algebra, calculus, and differential equations.

## About the Contributors

### Author

**Jason Lachniet**, Wytheville Community College