Module Identifier PH06520  
Academic Year 2001/2002  
Co-ordinator Coleg Ceredigion Staff  
Semester Semester 2  
Other staff Coleg Ceredigion Staff  
Pre-Requisite GCSE Maths or equivalent  
Co-Requisite PH06020  
Mutually Exclusive Not available to 3 year BSc or 4 year MPhys  
Assessment Course work   2 Open book assignments   20%  
  Exam   3 Hours end of semester exam   80%  

Module description

This second module on theoretical methods introduces the student to some more of the basic mathematical tools commonly used in the physical sciences, and develops some of the topics used in the first module. Topics covered include differentiation techniques and applications, integration and some of its applications to physics and rate of change problems, sequences, series and matrices. Particular emphasis is placed on the use of matematical techniques to solve physical problems.

Learning outcomes

After taking this module students should be able to:

Additional learning activities

The teaching of this module incorporates a large element of self-paced problem solving for both individual and tutorial work. This is essential to consolidate students understanding of the subject matter of the module.

All sessions are compulsory.

Outline syllabus

Differentiation techniques: Standard derivatives, function of a function, products and quotients, logarithmic differentiation, differentiation of implicit and parametric functions.   

Applications of differentiation: Small increments and rate of change problems.   

Integration techniques: Indefinite integration, integration as summation, definite integration, standard integrals, integration by substitution and by parts.   

Applications of Integration: Area under curves, volumes of revolution, lengths of arcs.

Sequences and series: Arithmetic and geometric progressions. Binomial theorem.   

Introduction to matrices and determinants.

Reading Lists

** Recommended Text
Bostock and Chandler. Core Mathematics for A level. 0748700676
Sadler and Thorning. Understanding Pure Mathematics. 0199142432
** Supplementary Text
K.A. Stroud. Engineering Mathematics. 5th. 0333919394