Module Identifier MA22010 Module Title COMPUTING FOR MATHEMATICIANS Academic Year 2001/2002 Co-ordinator Dr T McDonough Semester Semester 1 Pre-Requisite MA10020 Mutually Exclusive MA10410 Course delivery Lecture 11 x 1 hour lectures Practical 11 x 2 hour practical classes Assessment Assignment 5 assignments (fortnightly throughout the course) 50% Exam 2 Hours (practical open book examination) 50% Resit assessment 2 Hours (practical openbook examination) Continuous assessment passed: same format as above. Otherwise, practical examination (as above) 100%

#### General description

The aim of this module is to create an awareness of the use of computers in the investigation of mathematical problems. This is achieved through a detailed study of the Maple symbolic algebra system. No prior knowledge of computing is required. Students will be given a basic introduction to the Unix operating system and its file editing facilities.

#### Aims

The aim of the module is to create an awareness of the use of computers in the investigation of mathematical problems.

#### Learning outcomes

On completion of this module, a student should be able to:
• use basic Unix operating system commands;
• create and edit mainframe files;
• use the Maple symbolic algebra system to perform computations involving basic expression manipulation, calculus, linear algebra, equation solving and to obtain graphical output using the high quality graphics capability of Maple.

#### Syllabus

1. THE COLLEGE COMPUTING NETWORK: The Unix operating system. File creation and editingusing edt. Use of the various printer services. Saving the data generated by an interactive computing session. Commands with input froma file and output to a file.
2. INTRODUCTION TO MAPLE: Maple as a simple interactive calculator. Manipulating expressions. Basic language entities: numbers, names, strings. Assignments, Evaluation.
3. POLYNOMIALS: Expanding, factorising, finding coeffients, remainders and quotients. Sequences, lists and sets. General expression manipulation, substitution.
4. BASIC CALCULUS: Differentiation. Integration, indefinite and definite. Ranges in Maple. Controlling the accuracy of approximate calculations. Taylor expansions.
5. FUNCTIONS AND GRAPHS: Simple one-line Maple functions. Maple 2-D plotting facilities: X-Maple. Graphs of functions.
6. EQUATION SOLVING: Solutions of algebraic and transcendental equations, exact and approximate.
7. MORE ADVANCED FUNCTIONS: Boolean expressions. Selection statements. Repetition statements. The Maple procedure definition. Recursive procedures.
8. FURTHER TOPICS: Vector and matrix computation. 3-D plotting.