INTRODUCTION TO MATLAB (4 lectures)
Introduction to MATLAB, syntax, graphs, functions, loops, logical operators, arrays and matrices.
SIMPLE FUNCTIONS AND GRAPHS (4 lectures)
Revision of fundamental mathematics. Linear, polynomial, exp, log, circular functions. Odd and
COMPLEX NUMBERS (4 lectures)
Complex Numbers: Addition, multiplication, division. Argand diagram, modulus argument
representation. De Moivre's theorem.
DIFFERENTIATION and SERIES (6 lectures)
Differentiation of simple functions, sums, products, reciprocals, inverses, function of a function.
Higher order derivatives. Maclaurin and Taylor series.
TRIGONOMETRY, VECTORS AND MATRICES (6 lectures)
Definition of a vector. Basic properties of vectors. Vector addition and subtraction. The scalar
product. Cross product. Definition of a matrix. Addition, subtraction and product. Determinant and
inverse of square matrices. Solution of simultaneous equations using matrices.
INTEGRATION (4 lectures)
Revision. Indefinite integrals. Definite integrals and interpretation as an area. Evaluation using
substitution and integration by parts.
SETS, PROBABILITY AND STATISTICS (6 lectures)
Sets and elements. Basic set operations. Probability and probability distributions. Mean, standard
deviation and variance. The Normal distribution.
56 contact hours comprising of:
34 hours Lectures
15 hours Examples classes
6 hours Computing Laboratories
1 hour Introductory Test
Only available to students on programmes owned by The School of Engineering and Digital Arts
Method of assessment
1. A familiarity with aspects of algebra, trigonometry, set theory, calculus, vectors, matrices, series
2. A fluency in the use of these mathematical tools in problem solving.
3. A knowledge of MATLAB and how it could be used to solve and visualise mathematical problems.