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Courses in Mathematics and Statistics Level 1 Modules Level 2 Modules Level 3 Modules Level 4 Modules Level 5 Modules Honours timetable 2011/2012 Sem. 1 2011/2012 Sem. 2 2012/2013 Sem. 1 & Sem. 2 2013/2014 Sem. 1 & Sem. 2

MT1001 INTRODUCTORY MATHEMATICS Students who have a B at Advanced Higher (including units 1 and 2) or B at A-level may miss out this module and take MT1002 in the first semester instead. Aims This module is designed to give students a secure basis in elementary calculus, allowing them to tackle the mathematics needed in other sciences. Students wishing to do more mathematics will be given a good foundation from which they can proceed to the module MT1002 Mathematics. Some of the work covered is a revision and reinforcement of material in the Scottish Highers and many A-Level syllabuses. Objectives By the end of the course students should be able to: - solve algebraic equations and inequalities; - manipulate algebraic and trigonometric expressions; - recognise arithmetic, geometric and binomial expansions; - define the exponential and logarithm functions; - understand the idea of the limit of a function and apply it to the concept of continuity; - understand the concept of a derivative; - differentiate polynomial, exponential, logarithmic, trigonometric and inverse trigonometric functions and use the rules for differentiating products, quotients and functions of a function; - calculate higher derivatives; - use differentiation to assist in the sketching of curves and in the determination of maxima and minima; - calculate both indefinite and definite integrals using standard integrals, integration by substitution, by parts or by partial fractions; - use inverse trigonometric functions; - apply the methods of integration to evaluate areas. Textbooks Calculus: A Complete Course, Robert A Adams; Addison Wesley Longman; 2003. Calculus, International Metric Edition 7e, James Stewart. Available from www.cengage.co.uk. Lectures, practicals and tutorials The average load, in hours per week, is as follows: Lectures: 5 Practicals: 1 Tutorials: 1 These figures do not include the revision and exam period at the end of each semester. Assessment 30% of the assessment mark is from continuous assessment during the semester. The remainder is from a 2 hour exam at the end of the semester. Re-assessment is entirely by a 2 hour exam in August. Prerequisites SCE Higher Mathematics or GCSE A-level Mathematics. Availability This module is taught every year in Semester 1 at 9.00. Lecturers Dr J N Reinaud (Module coordinator), Dr A Haynes, Dr V Archontis Click here for access to past examination papers for this module. Click here to see the University Course Catalogue entry. Revised: PMH (September 2011)