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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.
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 A-Level 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:
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.
Re-assessment is entirely by a 2 hour exam in August.
PrerequisitesSCE Higher Mathematics or GCSE A-level Mathematics.
AvailabilityThis module is taught every year in Semester 1 at 9.00.
LecturersDr V Archontis (Module coordinator), Dr A Haynes, Dr R Bowness
Click here for access to past examination papers for this module.
Click here to see the University Course Catalogue entry.
Revised: PMH (September 2011)