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%

Brief description

This module introduces the student to some of the basic mathematical tools commonly used in the physical sciences. Topics covered include algabraic techniques, logarithms, trigonometry, an introduction to vectors, comples numbers and differentiation. Particular emphasis is placed on the use of mathematical techniques to solve physical problems.

Learning outcomes

After taking this module the student should be able to:
• Use algebraic techniques, trigonometry, vectors, complex numbers and differentiation to solve problems.

The teaching of this module incorporates a large element of self-paced problem solving, both for individual and tutorial work. This is essential to consolidate students understanding of the subject matter of this module.

All sessions are compulsory.

Outline syllabus

Number: Fractions, decimal system, different bases, indices and logarithms.

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.