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 | 2015/6 |
Outline Description of Module
This module aims to build on the mathematics learned at GCSE and also that is 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
Examination and Continuous Assessment
Assessment Breakdown
Type | % | Title | Duration(hrs) |
---|---|---|---|
Exam - Spring Semester | 70 | Elementary Mathematical Methods | 2 |
Written Assessment | 30 | 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.
Background 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).