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 | 2013/4 |
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
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)
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).