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MT1001 INTRODUCTORY MATHEMATICSStudents who have a B at Advanced Higher (including units 1 and 2) or B at Alevel may miss out this module and take MT1002 in the first semester instead. AimsThis 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 ALevel syllabuses.
ObjectivesBy 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.
TextbooksCalculus: 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 tutorialsThe 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.
Assessment30% 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. Reassessment is entirely by a 2 hour exam in August.
PrerequisitesSCE Higher Mathematics or GCSE Alevel Mathematics.AvailabilityThis module is taught every year in Semester 1 at 9.00.
LecturersDr V Archontis (Module coordinator), Dr A Haynes, Dr R BownessClick here for access to past examination papers for this module.
Click here to see the University Course Catalogue entry. Revised: PMH (September 2011)
