# Module Information

Module Identifier
MA12510
Module Title
INTRODUCTORY MATHEMATICAL TECHNIQUES
2012/2013
Co-ordinator
Semester
Intended for use in future years
Mutually Exclusive
May not be taken at the same time as, or after, MA10020.
Pre-Requisite
GCSE Mathematics at grade C or above.

#### 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

1. REPRESENTATION OF NUMBER: Natural numbers, integers, fractions, decimals, different bases, fixed and floating point, the laws of indices, exponents, logarithms.
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