PX1125: Mathematical Practice for Physical Sciences
School | Cardiff School of Physics & Astronomy |
Department Code | PHYSX |
Module Code | PX1125 |
External Subject Code | 100425 |
Number of Credits | 10 |
Level | L4 |
Language of Delivery | English |
Module Leader | Dr Rodney Smith |
Semester | Autumn Semester |
Academic Year | 2014/5 |
Outline Description of Module
- To provide practice at important elementary mathematical techniques.
- To strengthen and develop manipulative and analytical techniques learnt at AS and A level.
- To apply mathematical skills in the context of physics.
On completion of the module a student should be able to
- Manipulate, simplify and sketch simple functions.
- Find the derivatives of simple functions.
- Find the indefinite or definite integrals of simple functions.
- Find the general solution or particular solutions of simple differential equations using the techniques of direct integration and separation of variables.
- Perform basic manipulations of vectors and complex numbers.
- Calculate the permutations and combinations for selecting r from n objects and understand the distinction between them.
- Write out the Binomial expansion for expressions of the form (1+x)n and Taylor expansion for (1+x)-n and Taylor expenasion for (1+x)-n.
- Recognise and be able to find the sum of arithmetic and geometric progressions.
How the module will be delivered
Teaching and feedback methods: Lectures and examples classes 22 x 1 hr, marked exercises.
Skills that will be practised and developed
Problem solving. Mathematics. Analytical skills.
How the module will be assessed
Assessment: Examination 70%. Coursework 30%. [Examination duration: 2 hours]
Assessment Breakdown
Type | % | Title | Duration(hrs) |
---|---|---|---|
Exam - Autumn Semester | 70 | Mathematical Practice For Physical Sciences | 2 |
Written Assessment | 30 | Mathematical Practice For Physical Sciences | N/A |
Syllabus content
Weekly worksheets
Algebra
Logarithms and exponentials
Determinants, matrices and vectors
Differentiation I
Permutations and combinations, Binomial, Taylor and other series
Differentiation II
Integration I
Integration II
Differential equations
Complex numbers
Essential Reading and Resource List
Foundation Mathematics for the Physical Sciences, K F Riley and M P Hobson (Cambridge University Press)
Background Reading and Resource List
Less advanced books of use in support of this module:
Maths: A Students’ Survival Guide, Jenny Olive (Cambridge University Press).
Core Maths for A-Level, L Bostock and S Candler (Stanley Thornes Publishers).
Engineering Mathematics, K A Stroud (Palgrave).