PX0203: Elementary Mathematical Methods

School Cardiff School of Physics & Astronomy
Department Code PHYSX
Module Code PX0203
External Subject Code 100425
Number of Credits 10
Level L3
Language of Delivery English
Module Leader Dr Rodney Smith
Semester Spring Semester
Academic Year 2015/6

Outline Description of Module

This module aims to build on the mathematics learned at GCSE and also that is met in Basic Mathematics 1 (MA0001), and to provide a firm foundation for students intending to study for a numerate science degree.

On completion of the module a student should be able to

Solve simple problems involving the use of exponentials, logarithmic and trigonometric functions.

Demonstrate that they can differentiate the above functions.

Sketch the above and polynomial functions and appreciate limits.

Demonstrate the use of integration by parts, substitution and partial fractions to evaluate integrals.

Recall the solution of simple first-order differential equations.

How the module will be delivered

Teaching and feedback methods: Lectures 22 x 1 hr, Examples classes 11 x 1 hr, marked Exercises.

Skills that will be practised and developed

Problem solving. Mathematics. Analytical skills.

How the module will be assessed

Examination and Continuous Assessment

Assessment Breakdown

Type % Title Duration(hrs)
Exam - Spring Semester 70 Elementary Mathematical Methods 2
Written Assessment 30 Coursework N/A

Syllabus content

Algebra Recap: Equations, identities and polynomials, factoring quadratics and cubic equations; expressing fractional functions as partial fractions.

Differentiation: The rules of differentiation, and differentiation and integration of the exponential, logarithmic and rational functions.

Trigonometric equations: Further trigonometry and the solution of simple trigonometric equations.

Differentiation and integration of trigonometric functions.

Curve sketching: Turning points and elementary curve sketching. Area under a curve and between curves.

Integration: Integration by parts, by substitution and using partial fractions.

Applications: The solution of simple differential equations such as dq/dt = kq.

Background Reading and Resource List

Mathematics – The Core Course for A-Level, L Bostock and S Chandler (Stanley Thornes).

Engineering Mathematics, K A Stroud (Palgrave MacMillan).


Copyright Cardiff University. Registered charity no. 1136855