|Module Title||INTRODUCTION TO MATHEMATICAL METHODS FOR PHYSICISTS I|
|Co-ordinator||Coleg Ceredigion Staff|
|Other staff||Coleg Ceredigion Staff|
|Pre-Requisite||GCSE Mathematics or Equivalent|
|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.