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School of Mathematics and Statistics

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Courses in
Mathematics
and Statistics

Level 1 Modules

Level 2 Modules

Level 3 Modules

Level 4 Modules

Level 5 Modules


Timetable

2013/2014 Sem. 1

2013/2014 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 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)


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