Physics and astronomy

Foundation Mathematics A

Module code: F3301
Level 3 (sub-degree)
15 credits in autumn semester
Teaching method: Lecture, Class, Workshop
Assessment modes: Coursework, Unseen examination

This module covers the basic foundations of Mathematics, also appropriate for Engineering and Physics.

It covers algebra, geometry, trigonometry and calculus (differential and integral).

In algebra you learn:

  • algebraic relationships
  • equalities and inequalities
  • remainder and factor theorems
  • factorisation
  • quadratic equations
  • partial fractions
  • indices and logarithms.

In geometry and trigonometry you learn:

  • inequalities and regions
  • trigonometric relationships
  • Cartesian coordinates and straight lines
  • compound angles
  • revision of some Euclidean geometry.

In differentiation calculus you learn:

  • the product and quotient rule
  • function of a function
  • differentiation of parametric forms and implicit functions
  • second order differentiation and turning points.

In integration calculus you learn:

  • standard integrals
  • integration by inspection, by substitution, by parts and using partial fractions
  • definite integrals
  • solution of first order differential equations by separation of variables.

Module learning outcomes

  • Recall fundamental definitions relating to algebra, geometry, trigonometry, differentiation and integration.
  • Identify and apply basic mathematical techniques in algebra, geometry and trigonometry.
  • Solve mathematical problems and recognise arguments and concepts used.
  • Analyse and recognise appropriate techniques for differentiation and integration.