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 | 2014/5 |
Outline Description of Module
This module aims to build on the mathematics learned at GCSE and also that 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
Assessment: Examination 70%. Coursework 20%. Class test 10%. [Examination duration: 2 hours]
Assessment Breakdown
Type | % | Title | Duration(hrs) |
---|---|---|---|
Exam - Spring Semester | 80 | Elementary Mathematical Methods | 2 |
Written Assessment | 20 | 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.
Essential 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).
Background Reading and Resource List
Not applicable.