Module Identifier | PH06020 | ||
Module Title | INTRODUCTION TO MATHEMATICAL METHODS FOR PHYSICISTS I | ||
Academic Year | 2001/2002 | ||
Co-ordinator | Coleg Ceredigion Staff | ||
Semester | Semester 1 | ||
Other staff | Coleg Ceredigion Staff | ||
Pre-Requisite | GCSE Mathematics or Equivalent | ||
Co-Requisite | None | ||
Mutually Exclusive | Not available to students doing 3 year BSc or 4 year MPhys | ||
Course delivery | Lecture | 44 Hours Lectures | |
Assessment | Course work | 2 Open book assignments | 20% |
Exam | 3 Hours End of semester examinations | 80% |
All sessions are compulsory.
Algebraic techniques: linear and quadratic equations, factorisation, transposition of formulae, equations involving fractions, sumultaneous equations. Indicial, exponential and logarithmic equations.
Trigonometry: Sine and cosine rules. Graphs of trigonometrical functions. Trigonometric equations and identities including addition and double angle formulae.
Vectors: Vector representation, unit vectors, position vectors, vector components, vector addition, scalar product.
Complex Numbers: Introduction to complex numbers, multiplication and division in polar form, de Moivre's theorem, powers and roots of complex numbers.
Differentiation and its applications: Gradient of a curve, equation of a straight line, tangents and normals, rates of change, stationary values and turning points, curve sketching.