# Module Information

#### 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

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. |

### Reading List

**Recommended Text**

Croft, A and Davison, R Foundation Maths A Croft and R Davison Foundation Maths Addison-Wesley ISBN 9780131979215;ISBN 0131979213 Addison-Wesley Primo search

**Supplementary Text**

Rosen, K H Discrete Mathematics and its Applications K H Rosen Discrete Mathematics and its Applications McGraw-Hill ISBN 9780071167567;ISBN 0071167560;ISBN 0072899050 McGraw-Hil Primo search

### Notes

This module is at CQFW Level 4