Elements of Set Theory. The Concept of a Function. The Elementary Functions (polynomials, log, exp & sin, cosine functions)
Matrix Algebra. Propositional Logic
Introduction to Graph Theory
Introduction to Differential Calculus (All basic rules). Introduction to Integration
Discrete Probability (Rules of probability, Probability trees, Conditional Probability)
Descriptive Statistics

1. 2 x 50 minute multi-choice in-class tests weighted at 25% each. (1,2,3,4)
2. A two hour written examination at the end of the module weighted 50% (1,2,3,4)

There will be two one-hour lectures given to the entire group each week. Students will also receive a one-hour tutorial each week. The core material will be presented during the lectures and the tutorials will give students the opportunity to gain confidence and experience through practice on suitable, graded examples.
In addition every student will be given a diagnostic test during Induction Week in order to identify any omissions and/or weaknesses in her/his mathematical background, and a timetabled slot of one hour will be set aside for a mathematics surgery in order to enable her/him to obtain appropriate support. The students will also have access to a computer-based learning package.

THIS MODULE WILL NORMALLY RUN IN SEMESTER 1

Background Reading
Foundation Mathematics, A. Croft and R. Davidson, Addison-Wesley 1997, 0201178044
Discrete Mathematics for Computer Scientists, J. Truss, Addison-Wesley 1999, 0201360616

A computer-based learning package such as CALMAT.

None.

1. EXPLAIN AND APPLY FUNDAMENTAL MATHEMATICAL AND STATISTICAL CONCEPTS AND PROCESSES.
(Application, Enquiry, Knowledge & Understanding, Learning)

2. REPRESENT MATHEMATICAL RELATIONSHIPS AND STATISTICAL DATA IN SYMBOLIC AND GRAPHICAL FORM.
(Analysis, Enquiry, Problem Solving)


3. EXPRESS PROBLEMS USING MATHEMATICAL AND STATISTICAL NOTATION.
(Analysis, Problem Solving)

4. APPLY SUITABLE MATHEMATICAL OR STATISTICAL TECHNIQUES TO OBTAIN SOLUTIONS AND INTERPRET THESE SOLUTIONS IN THE CONTEXT OF THE ORIGINAL PROBLEMS.
(Application, Problem Solving)