# 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
• 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.