Computing with Magma

This course is a twelve-hour introduction to the computer algebra package Magma. It focuses on developing the language and syntax in the first two weeks, and in subsequent weeks more of the functions and capabilities of Magma are demonstrated, in areas such as combinatorics, number theory, group theory, and representation theory.

The syllabus is as follows.

Week 1	Basic arithmetic, types, conditionals
Week 2	Loops, breaks and continues, writing functions
Week 3	Combinatorics, graph theory, generating functions (power series rings)
Week 4	Polynomials, rings and fields, mappings, matrices, vector spaces
Week 5	Finite groups, finitely presented groups, cohomology
Week 6	Character theory, representations of groups