Module Identifier MA12510
Module Title INTRODUCTORY MATHEMATICAL TECHNIQUES
Co-ordinator Dr R S Jones
Semester Intended for use in future years
Next year offered N/A
Next semester offered N/A
Pre-Requisite GCSE Mathematics at grade C or above.
Mutually Exclusive May not be taken at the same time as, or after, any of MA10020 to MA11410, MA12610, MA13610.
Course delivery Lecture   22 x 1 hour lectures
Seminars / Tutorials   11 x 1 hour example classes
Assessment
Assessment TypeAssessment Length/DetailsProportion
Semester Exam2 Hours  100%
Supplementary Assessment2 Hours  100%

#### Learning outcomes

On completion of this module, a student should be able to:
• explain the difference between integers, rational and irrational numbers and work in different number bases;
• manipulate numbers and symbols using the operations of algebra;
• simplify algebraic expressions and inequalities;
• solve linear and quadratic equations algebraically;
• define a function and its domain and range;
• 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.