Module Overview

Engineering Mathematics

This module covers basic algebra, trigonometry, complex numbers, the Binomial Theorem, graphical methods, introductory differential and integral calculus in one variable, Simpson’s Rule and basic probability and statistics.

Module Code

MATH 1401

ECTS Credits

10

*Curricular information is subject to change
  • Preliminaries:  Use of calculator. Volumes and surface areas, Number systemsBinary and decimal representations.
  • Algebra:  Transposition and substitution of formulae.  Powers, roots and logarithms.  Solution of simple, simultaneous and quadratic equations, functions.
  • Graphical Methods:  The straight line.  Graphs of parabolas, cubic curves, logarithmic and exponential curves.  Determination of laws by transformation of non-linear data to linear form.
  • Trigonometry:  Degree and radian measure.  Sine and cosine rule.  Application in two and three dimensions.
  • Binomial Expansion:  Integral and rational powers.  Applications.
  • Complex Numbers:  Sums, products and quotients. Cartesian and Polar form. De Moivre’s Theorem.
  • Differential Calculus:  Derivatives of elementary functions of one variable.  Sums, products, quotients and composite functions.  Maximum and minimum values of functions.  Points of inflexion. 
  • Integral Calculus:  Definite and indefinite integrals of elementary functions in one variable.  Solution of integrals by substitution.  Numerical integration using Simpson’s rule.
  • Statistics:  Presentation of data.  Discrete and continuous data.  Measures of central tendency and dispersion.  Cumulative frequency.
  • Basic Probability:  Addition Law.  Multiplication Law for independent events.  Mutually exclusive events.  Conditional probability.

Instruction is by means of lectures and tutorials.  The tutorials are designed to closely follow the lecture material and to assist in developing the student’s confidence and understanding.

Module Content & Assessment
Assessment Breakdown %
Formal Examination60
Other Assessment(s)40