Teaching Material
See also the page on
Learning GAP,
which refers to material that may help you if you want to learn
GAP on your own or to teach it.
GAP has been used in lecture courses of various levels,
both for providing examples and for creating teaching material, in
particular exercises. In 2012, we conducted a survey on this topic,
and its results are published on the
LMS De Morgan Forum.
We are currently conducting a new survey about the use of mathematical
software in education at https://bit.ly/msesurvey.
However, it is not always the case that
such teaching materials are available to the public. We therefore
ask to inform The GAP Group
if you have such material and are willing to share it with others.
At present we can point to the following material.

Teaching material in Spanish by P. A. García Sánchez:
 First steps
 Algebra and discrete structures (Computer Science, 20092010)
 Discrete mathematics (Computer Science, 20062009)
 Basic algebra (Mathematics, 20062010)
 GAP section of the course "Mathematical Software" (Master in Mathematics, 20172020)

GAP teaching materials and software packages written by
Peter Webb,
University of Minnesota,
covering Permutation Groups, Matrices, Finite Fields and Matrix Groups,
Groups given by Presentations, Stabilizer chains, Coset Enumeration (with updates in 2020).

The book
by Graham Ellis (Oxford University Press, 2019) is using the author's Homological Algebra Programming (HAP) package, redistributed with GAP.

The book
by Akihito Kikuchi (Springer, 2018) uses GAP to explain how to use computer algebra for applications in
solidstate simulation.


teaching material in Russian by D. V. Gritsuk and A. A. Trofimuk (Brest State A. S. Pushkin University, Belarus, 2018).

M. D'Anna, V. Micale and P. A. García Sánchez gave the course
at the Scuola Superiore di Catania, during the academic year 201617,
where GAP was used. They gave an introduction to NumericalSgps and GUAVA packages.
This repository contains a
live tutorial of NumericalSgps
using Thebe.

The book
by Abdallah Assi and Pedro A. García Sánchez (Springer, 2016) contains
many examples and tutorials with the NumericalsSps GAP package.

Teaching material in Spanish by Leandro Vendramin:
 Una introducción al álgebra con GAP (2016).

A lab manual
Abstract Algebra with GAP
by Julianne Rainbolt
and
Joseph A. Gallian (latest version 2013)
containing a collection of exercises that use GAP
and are appropriate for a first course in abstract algebra.
This manual was originally developed to be used with Gallian's book
Contemporary Abstract Algebra.

There is an introduction to using GAP with material appropriate
for an undergraduate abstract algebra course:
Abstract Algebra in GAP (2011)
by Alexander Hulpke
,
with contributions by Kenneth Monks and Ellen Ziliak.

The book
by Klaus Lux and Herbert Pahlings (Cambridge University Press, 2010) provides a number of computational exercises and examples using GAP.

The book
by J. C. Rosales and P. A. García Sánchez (Springer, 2009).

There are
Notes for a graduate course in Computational Group Theory (20082010)
by Alexander Hulpke
.

Lectures and Workshops on Groups, Applications, and
GAP by
Alice Niemeyer,
held in September 2004 at the University of Malaya at Kuala Lumpur.
The course describes applications of GAP
to counting and randomised algorithms.

An online workshop
Exploring Abstract Algebra Using Computer Software
was held by Russell Blyth
and
Julianne Rainbolt
in June 2004 under the auspices of the Mathematical Association of
America's Professional Enhancement Program.

A course
Mathematics 3530  Abstract Algebra,
given in Fall 2003 at
Eastern Illinios University
by Duane Broline
.

An online workshop
Abstract Algebra with GAP
was held by Russell Blyth
and
Julianne Rainbolt
in July 2003 under the auspices of the Mathematical Association of
America's Professional Enhancement Program.

Algebra and number theory with GAP
(in Russian)
by Alexander Konovalov
(20022008).

Teaching material in Japanese:
The home page of
Toshiaki Shoji,
in its section 'Refresh Corner' provides links to PDF as well as
PostScript versions of two Japanese texts 'How to play GAP'
(dating from Oct. 2002 and Feb 2005, resp.) that contain parts
of the GAP tutorial with additional examples.

Teaching material in French:
Calculs en théorie des groupes et introduction au langage GAP,
Journées mathématiques XUPS 2000, ``groupes finis'', 7194,
éditions de l'école Polytechnique.
dvi.
by Jean Michel.

Information on usage of CommSemi and other semigroups functionality
in GAP can be found in "Tutorial  Computing with
semigroups in GAP" by
Isabel M. Araújo and
Andrew Solomon,
which is available
here.

The package
ITC can be used to demonstrate the
working of some coset table methods. Examples are given in the
ITC manual.
Other examples of use of GAP in teaching include:

GAP exercises for the
Theory of permutation groups course by Madeleine Whybrow
(University of Primorska, Slovenia) since 2019.

Some applications of the course "Representations of finite groups" by Fernando Fantino
(Universidad Nacional de Córdoba, Argentina) since 2019.

Two courses in Computational group theory
(MTH4141 and
MTH5141) by
Heiko Dietrich (Monash University, Australia)

In a pedagogical research project in 2018, C. Alonso González, R. Guerrero Francés, M. A. Navarro Pérez,
V. Ortiz Sotomayor and X. Soler Escrivà, (Universitat d’Alacant and Universitat Politècnica de València, Spain)
studied the use of GAP in courses on Group Theory and Coding Theory. The results of the study where published
here
(see also an extended version included into the whole volume).

Computeralgebra Praktikum I & II (Mathematical programming exercises)
and exercises for the courses Algebra, Algorithmic Algebra, and Commutative Algebra by
Mohamed Barakat (University of Siegen, Germany)
since 2017.

Use of GAP in the "Computational Techniques in Mathematics" course by
Abdulhakeem Olayiwola (Sule Lamido University Kafin Hausa, Nigeria)
since 2016.

Use of GAP by Miguel Piza?a
(Universidad Autónoma Metropolitana, Mexico) in the course
"Análisis y dise?o de algoritmos" (Analysis and Design of Algorithms),
student research projects and doctoral studies since 2014.

Uygulamal? Cebir (Applied Algebra), Sembolik Hesaplama (Symbolic Computation)
and GAP Programlama (GAP Programming) by Alper Odaba? (Osmangazi University, Turkey),
starting from 2013.

Use of GAP at the Universidad de Almería (Spain) in the course Software en Matemáticas (since 2018);
and also the GUAVA package for Coding Theory in the course
in the degree of Computer Science (since 2012). GAP was also used in the course
during several years, mainly for polynomials over finite extensions of finite fields, between 2004 and 2011.

Grupos y Anillos (Groups and Rings), Códigos Correctores y Criptografía (Error Correcting Codes and Cryptography), Teoría de Números (Number Theory)
by ángel del Río (Universidad de Murcia, Spain), starting circa 2010.

Number Theory and Applications; Semigroups, Automata and Languages (the package Automata);
Algebraic Coding Theory (the package GUAVA); and other courses in algebra
by Manuel Delgado (University of Porto, Portugal), starting circa 2010.
