(see also Mathematical Sciences(MX))
Level 1
- MA 1002 - CALCULUS
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- Credit Points
- 20
- Course Coordinator
- Dr J R Pulham
Pre-requisites
SCE H or GCE A level in Mathematics. This course may not be included in a minimum curriculum with EG 1006.
Overview
A course on the differential and integral calculus starting from Higher grade Mathematics. This course and Algebra (MA 1502) are the mainstream Level 1 courses in Mathematics.
Derivatives: their definition, interpretation and calculation. The inverse trigonometric functions. The exponential and logarithmic functions. Integrals as antiderivatives and as areas. Basic methods of integration. Applications to areas and volumes. Curve sketching and the analysis of maxima and minima. Approximation and Taylor series.
12 week course - 4 lectures and 1 tutorial per week.
1 two-hour written examination paper (70%) and continuous assessment (30%). - MA 1004 - INTRODUCTORY MATHEMATICS 1
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- Credit Points
- 20
- Course Coordinator
- Dr C Maclachlan
Pre-requisites
S or GCSE or equivalent in Mathematics. This course is not open to students with the equivalent of a Higher in Mathematics at grade B or above.
Overview
An introductory course in Mathematics aimed at students who do not have Higher Mathematics or who have passed Higher Mathematics at a grade no higher than C. This course, together with 'Introductory Mathematics 2' (MA 1504), provides a link to other courses in Mathematics.
Topics include: co-ordinate geometry, elementary algebra, logarithm and exponentials and differentiation. There will be emphasis on algebraic manipulation.
12 week course - 4 lectures and 1 tutorial per week.
1 two-hour written examination paper (70%) and continuous assessment (30%). - MA 1502 - ALGEBRA
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- Credit Points
- 20
- Course Coordinator
- Professor G S Hall
Pre-requisites
SCE H or GCE A level in Mathematics.
Overview
Complex numbers and the theory of equations. Inequalities. Induction, recurrences and finite sums. Set theory with elementary probability. Vector algebra in two and three dimensions. Systems of linear equations and their solution. Matrices and determinants.
12 week course - 4 lectures and 1 tutorial per week.
1 two-hour written examination paper (70%) and continuous assessment (30%). - MA 1504 - INTRODUCTORY MATHEMATICS 2
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- Credit Points
- 20
- Course Coordinator
- Dr C Maclachlan
Pre-requisites
MA 1004 or equivalent.
Overview
This course is the natural successor to 'Introductory Mathematics 1' (MA 1004). (It is an inappropriate course to follow on from MA 1002.)
Further differentiation, integration, vectors, complex numbers, matrices and applications will be discussed.
12 week course - 4 lectures and 1 tutorial per week.
1 two-hour written examination paper (70%) and continuous assessment (30%).
Level 2
- MA 2002 - DISCRETE MATHEMATICS AND ALGEBRAIC STRUCTURES
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- Credit Points
- 3
- Course Coordinator
- Dr M C Crabb
Pre-requisites
MA 1502 or, with the permission of the Head of Department of Mathematical Sciences, MA 1504.
Overview
This course covers some elementary material in Number Theory and provides an introduction to Algebraic Structures through the study of Group Theory in relation to arithmetic and geometrical symmetry.
Elementary number theory: primes, euclidean algorithm, linear diophantine equations, congruence (modn), chinese remainder theoreum. Basic set theory: mappings equivalence relations, partitions. An introduction to group theory by examples: groups of integers (mod n), permutation groups, geometric symmetry.
Students who are not registered for the course MA 2003, are required to attend the laboratory sessions of that course for an introduction to a computer algebra system.
12 week course - 5 lectures per fortnight and 1 tutorial per week.
1 two-hour written examination paper (80%) and continuous assessment (20%). - MA 2003 - ADVANCED CALCULUS
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- Credit Points
- 15
- Course Coordinator
- Professor R J Archbold
Pre-requisites
MA 1002 or, with the permission of the Head of Department of Mathematical Sciences, both MA 1004 and MA 1504. This course may not be included in a minimum curriculum with EG 2010.
Overview
The first part of the course reinforces and develops one-variable calculus covered in MA 1002 (or MA 1004 and MA 1504). Continuity, differentiability, the mean value theorem and Taylor’s theorem are discussed. The second part of the course is devoted to multi-variable calculus; it includes the following topics: partial differentiation, maxima and minima, chain rule, multiple integrals (including change of variable), volumes and polar co-ordinates. The course also includes an introduction to a computer algebra system.
12 week course - 5 lectures and 1 laboratory per fortnight and 1 tutorial per week.
1 two-hour written examination (80%) and continuous assessment (20%). - MA 2503 - INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS
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- Credit Points
- 15
- Course Coordinator
- Professor J R Hubbuck
Pre-requisites
MA 1002 or both MA 1004 and MA 1504.
Overview
This course provides an introduction to the study of ordinary differential equations (ODE) and includes applications to various physical and biological problems and to Newtonian Mechanics.
First order ODE: elementary methods of solution including separation of variables and integrating factors. Second order linear ODE: constant coeffficients, reduction of order. Introduction to systems of ODE. Applications.
12 week course - 5 lectures per fortnight and 1 tutorial per week.
1 two-hour written examination (80%) and continuous assessment (20%). - MA 2504 - LINEAR ALGEBRA
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- Credit Points
- 15
- Course Coordinator
- Dr R Levi
Pre-requisites
MA 1502 or, with permission of the Head of the Department of Mathematical Sciences, MA 1504.
Overview
This course provides an introduction to matrix algebra. Systems of linear equations. Vector spaces over the real numbers. Eigenvalues, eigenvectors and diagonalisation.
12 week course - 5 lectures per fortnight and 1 tutorial per week.
1 two-hour written examination paper (80%) and continuous assessment (20%).