# Foundation Mathematics A (F3301)

15 credits, Level 3 (sub-degree)

Autumn teaching

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.

### Teaching 62%: Lecture 19%: Practical (Workshop) 19%: Seminar (Class)

### Assessment 20%: Coursework (Problem Set) 80%: Examination (Unseen examination)