# Gwybodaeth Modiwlau

Module Identifier
CS10410
Module Title
The Mathematics Driving License for Computer Science
2014/2015
Co-ordinator
Semester
Semester 1
Other Staff

#### Course Delivery

Delivery Type Delivery length / details
Lecture 22 Hours.
Seminars / Tutorials 10 x 1hr workshops

#### Assessment

Assessment Type Assessment length / details Proportion
Semester Exam 2 Hours   written exam  100%
Supplementary Exam 2 Hours   written exam  100%

### Learning Outcomes

On successful completion of this module students should be able to:

1. Explain and draw diagrams to illustrate basic set operations;

2. perform arithmetic in a variety of bases, express approximations to given numbers of significant figures and to given numbers of decimal places;

3. manipulate algebraic formulae and simplify basic algebraic expressions;

4. simplify expressions and manipulate formulae involving logarithms and exponents;

5. graph simple functions;

6. be able to perform simple calculations related to the probabilities of events.

### Aims

This module aims to provide students with the basic skills needed for successful completion of part 1.

### Brief description

This module reviews the basic concepts that are required by all computing students. It is not suitable for people with good GCSE, AS or A level Mathematics.

### Content

1. Sets: what are sets and how do we describe them; cardinality; subset; power set; set union, intersection and difference; Cartesian product; disjoint union; universal set; complement of a set.

2. Numbers: natural numbers, integers, rational numbers, real numbers, complex numbers; arithmetic in different bases; fractions; expressing numbers to a given number of significant figures and to a given number of decimal places.

3. Basic Algebra: simplification of algebraic expressions; factors; arithmetic involving symbolic fractions; formula transposition; linear and quadratic equations.

4. Exponents and Logarithms: simplifying exponential expressions; logarithms to any base; the log and exponential functions; equations involving e and ln.

5. Graph linear functions, polynomials, logarithm and exponential functions.

6. Probability and statistics: simple events and their probabilities.

### Module Skills

Skills Type Skills details
Application of Number This module includes a substantial element of number and manipulation of numeric formulae.
Communication Reasoned argument ensures clarity of communication. Clarity of thought and validity of argument are directly addressed by this module.
Improving own Learning and Performance Contributes to capacity to comprehend and profit from courses including programming, AI, robotics and telecommunications.
Problem solving Logical reasoning is central to all problem solving. Logical reasoning is supported by mathematical reasoning. Both are directly addressed within the context of this module.
Subject Specific Skills Reasoning, clarity of expression, and skill with number and formula are developed and assessed.