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
- 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.