# MATH06089 2018 Mathematics 1

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**Description**

This subject aims to develop essential Mathematical skills for students in the computing area. The fundamental skills of numerical and algebraic competence is covered in the initial part of the module. A section on summary statistics follows. In the latter part of the module time is spent on introducing and developing competence in the areas of symbolic logic and set theory.

### Learning Outcomes

*On completion of this module the learner will/should be able to;*

**1.**

Demonstrate numerical competence.

**2.**

Demonstrate competence in algebraic manipulations and solve equations.

**3.**

Organise, summarise and analyse data.

**4.**

Apply propositional logic.

**5.**

Show competence in the use of set operations.

### Teaching and Learning Strategies

The student will engage with the content of the module through lectures and tutorials.

The student will work on practical examples and exercise sheets to develop and apply their learning.

### Module Assessment Strategies

Written examination at end of semester and also a written examination around mid-semester.

### Repeat Assessments

The repeat assessment will involve a repeat examination.

### Indicative Syllabus

1. Basic Numeracy: Numbers, arithmetic operations, percentages, ratios, indices, logarithms, operator precedence rules.

2. Basic Algebra: manipulate algebraic expressions, solve linear and quadratic equations, graphs, convert word problems to mathematical equations and solve.

3. Data summarisation: Mean, median, mode, range, interquartile range, standard deviation.

4. Propositional calculus: Propositions, logical operators, logical equivalence, truth tables, consistency, algebraic laws, rules of inference.

5. Sets: Set operations, Venn diagrams, subsets, powersets, cartesian product of sets.

### Coursework & Assessment Breakdown

**Coursework & Continuous Assessment**

**End of Semester / Year Formal Exam**

### Coursework Assessment

Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|

1 | Continuous assessment breakdown | Coursework Assessment | Closed Book Exam | 30 % | Week 7 | 1,2 |

### End of Semester / Year Assessment

Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|

1 | End of term exam | Final Exam | Closed Book Exam | 70 % | End of Term | 1,2,3,4,5 |

### Full Time Mode Workload

Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|

Lecture | Lecture Theatre | Lecture | 3 | Weekly | 3.00 |

Tutorial | Flat Classroom | Tutorial | 1 | Weekly | 1.00 |

Independent Learning | Not Specified | Independent Learning | 3 | Weekly | 3.00 |

### Required & Recommended Book List

**Recommended Reading**

2016

*Foundation Maths*Pearson

**Recommended Reading**

2017

*Maths for Computing and Information Technology*Prentice Hall

**Recommended Reading**

2017

*Discrete Mathematics for Computing*Palgrave MacMillan