|| PH06520 |
|| INTRODUCTION TO MATHEMATICAL METHODS FOR PHYSICISTS II |
|| 2004/2005 |
|| Glenda Roberts |
|| Semester 2 |
|| Glenda Roberts |
|| GCSE Maths or equivalent |
|| PH06020 |
|| Not available to 3 year BSc or 4 year MPhys |
|Assessment Type||Assessment Length/Details||Proportion|
|Semester Exam||3 Hours end of semester exam ||80%|
|Semester Assessment|| 2 Open book assignments Course Work: ||20%|
After taking this module students should be able to:
Use and apply integration and differentiation with some notion of the relevance of these topics to physics.
Solve problems on arithmetic and geometric progressions and the Binomial theorem.
Carry out simple processes using matrices and determinants.
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.
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.
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.
** Recommended Text
Bostock and Chandler Core Mathematics for A level
Sadler and Thorning Understanding Pure Mathematics
** Supplementary Text
K.A. Stroud Engineering Mathematics:Programmes and Problems
3rd or 4th.
This module is at CQFW Level 3