# Module Information

#### Course Delivery

Delivery Type | Delivery length / details |
---|---|

Lecture | 22 Hours. (22 x 1 hour lectures) |

Seminars / Tutorials | 11 Hours. (11 x 1 hour example classes) |

#### Assessment

Assessment Type | Assessment length / details | Proportion |
---|---|---|

Semester Exam | 2 Hours (written examination) | 100% |

Supplementary Assessment | 2 Hours (written examination) | 100% |

### Learning Outcomes

On completion of this module, a student should be able to:

1. explain the difference between integers, rational and irrational numbers and work in different number bases;

2. manipulate numbers and symbols using the operations of algebra;

3. simplify algebraic expressions and inequalities;

4. solve linear and quadratic equations algebraically;

5. define a function and its domain and range;

6. differentiate polynomials, logarithmic and exponential functions.

### Brief description

The purpose of this module is to introduce some of the basic ideas of mathematics to students without A-level qualifications in Mathematics but who require mathematics in their main subject. The syllabus includes basic set theory; functions and graphs; indices, exponentials and logarithms; rates of growth; recurrence relations, arithmetic and geometric progressions; matrices and determinants, solution of linear equations and elementary descriptive statistics.

### Aims

To introduce students to some of the basic concepts of mathematics and to develop their manipulative skills.

### Content

2. ALGEBRA: Rules of algebra, simplification of algebraic expressions, factorization, inequalities, the solution of linear and quadratic equations.

3. COMPLEX NUMBERS: Real and imaginary parts, modulus and argument, representation on the Argand diagram.

4. THE CONCEPT OF FUNCTION: Linear and quadratic functions, exponential and logarithmic functions, trigonometric functions and inverse functions.

5. CALCULUS: Introduction to curves, tangents and the derivative of a function, the rules of differentiation, rates of change.

### Notes

This module is at CQFW Level 4