Physics and astronomy
Foundation Mathematics A
Module code: F3301
Level 3 (sub-degree)
15 credits in autumn teaching
Teaching method: Lecture, Class, Workshop
Assessment modes: Unseen examination, Coursework
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.