MATHEMATICS

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.

Structure

12 week course - 4 lectures and 1 tutorial per week.

Assessment

1st Attempt: 1 two-hour written examination paper (70%) and in-course assessment (30%).

Resit: 1 two-hour written examination paper (maximum of 100% resit and 70% resit with 30% in-course assessment).

Credit Points

20

Course Coordinator

Professor J R Hubbuck

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. The course emphasises speed and accuracy, in performing calculations in basic arithmetic processes, algebra and laws of indices, linear and quadratic equations, interpreting graphs, logarithms. It ends with an introduction to (a) differentiation and integration, or to (b) the language of probability and statistics.
The course is taught and examined using the CALMAT computer software.

Structure

12 week course - one class meeting and three supervised computer classes per week.

Assessment

100% in-course assessment for students who perform sufficiently well in weekly computerised tests. Any student who fails to attain a pass by in-course assessment or who wishes to upgrade CAS mark obtained, can take the end of course computerised examination or its resits.

Credit Points

20

Course Coordinator

Professor M Weiss

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.

Structure

12 week course - 4 lectures and 1 tutorial per week.

Assessment

1st Attempt: 1 two-hour written examination paper (70%) and in-course assessment (30%).

Resit: 1 two-hour written examination paper (maximum of 100% resit and 70% resit with 30% in-course assessment).

Credit Points

20

Course Coordinator

Dr S Theriault

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). The course emphasizes accuracy in performing calculations involving trigonometry, exponentials, techniques and application of differentiation and integration, vectors, complex numbers and matrices. The course is taught and examined using the CALMAT computer software.

Structure

12 week course: 1 class meeting and 3 computer classes per week.

Assessment

100% in-course assessment for students who perform sufficiently well in weekly computerised tests. Any students who fails to attain a pass by in-course assessment or who wishes to upgrade CAS mark obtained, can take the end of course computerised examination or its resits.

Credit Points

15

Course Coordinator

Professor G Robinson

Pre-requisites

MA 1502 or, with the permission of the Head 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.

Structure

12 week course - 5 lectures per fortnight and 1 tutorial per week.

Assessment

1st Attempt: 1 two-hour written examination paper (80%) and in-course assessment (20%).

Resit: 1 two hour written examination paper (maximum of 100% resit and 80% resit with 20% in-course assessment).

Credit Points

15

Course Coordinator

Prof. M Geek

Pre-requisites

MA 1002 or, with the permission of the Head 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.

Structure

12 week course - 5 lectures and 1 laboratory per fortnight and 1 tutorial per week.

Assessment

1st Attempt: 1 two-hour written examination (80%) and in-course assessment (20%).

Resit: 1 two hour written examination paper (maximum of 100% resit and 80% resit with 20% in-course assessment).

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.

Structure

12 week course - 5 lectures per fortnight and 1 tutorial per week.

Assessment

1st Attempt: 1 two-hour written examination (80%) and in-course assessment (20%).

Resit: 1 two hour written examination paper (maximum of 100% resit and 80% resit with 20% in-course assessment).

Credit Points

15

Course Coordinator

Dr L Iancu

Pre-requisites

MA 1502 or, with permission of the Head 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.

Structure

12 week course - 5 lectures per fortnight and 1 tutorial per week.

Assessment

1st Attempt: 1 two-hour written examination paper (80%) and in-course assessment (20%).

Resit: 1 two hour written examination paper (maximum of 100% resit and 80% resit with 20% in-course assessment).