# Mathematics

Mathematics is a language of fundamental importance which underpins many activities of society. It plays a crucial role, both theoretically and practically, in many areas such as science, computing, economics and finance.

Mathematics is available as a major for the BA, BCMS and BSc. Mathematics may also be taken as a second major or as a supporting subject within other undergraduate degrees, subject to academic approval of the Faculty or School of Studies in which the student is enrolled.

To complete a major in Mathematics for the BA, students must gain 120 points above 100 level in Mathematics, including MATH251, MATH253, MATH311, and at least 40 further points above 200 level. MATH252 is also recommended.

To complete a major in Mathematics for the BCMS, students must gain 180 points above 100 level in Mathematics, including MATH251, MATH252, MATH253, MATH255, MATH311, and at least 100 further points above 200 level, including 60 points above 300 level.

To complete a major in Mathematics for the BSc, students must gain 120 points above 100 level in Mathematics, including MATH251, MATH252, MATH253, MATH255, MATH311, and at least 40 further points above 200 level.

As well as the 100 level prerequisites specified for papers at 200 level and above, it is recommended that students intending to major in Mathematics for the BCMS or BSc include COMP103, COMP104 and STAT121 in the first year of their programme of study. Within the BCMS and BSc Mathematics majors, specialisations in Economics and Finance are available. Details of the specialisation requirements can be obtained from the Faculty of Computing and Mathematical Sciences.

**Note on Assessment:** To be eligible to pass these papers students should normally achieve a minimum grade of D in the internal assessment and the final examination, and an overall grade of C. Because of the technical nature of the terminology and accepted international protocol, the Department of Mathematics requires that all assessment for all papers be presented in English. Payment for translation will not be available from the Department.

- 100 level
- 200 level
- 300 level
- Level 4
- Prescriptions for the GradCert(Math) and GradDip(Math)
- Prescriptions for the BCMS(Hons), PGCert(Math), PGDip(Math), BA(Hons), BSc(Hons), MA and MSc
- Prescriptions for the MPhil
- Prescriptions for the PhD

- 100 level
- MATH101 - 14A (HAM), 14B (HAM), 14C (HAM), 14D (HAM) & 14S (HAM) - Introduction to Calculus
- MATH102 - 14A (HAM), 14B (HAM), 14C (HAM) & 14D (HAM) - Introduction to Algebra
- MATH165 - 14A (HAM) & 14B (HAM) - General Mathematics
- MATH166 - 14A (TGA), 14A (HAM), 14B (TGA) & 14B (HAM) - Management Mathematics
- MATH168 - 14A (HAM) & 14B (HAM) - Preparatory Mathematics
- 200 level
- COMP235 - 14B (HAM) - Logic and Computation
- MATH251 - 14A (HAM) - Multivariable Calculus
- MATH252 - 14B (HAM) - Elements of Analysis
- MATH253 - 14A (HAM) - Linear Algebra
- MATH255 - 14B (HAM) - Differential Equations
- MATH257 - 14A (HAM) - Computational Mathematics
- MATH258 - 14B (HAM) - Introduction to Discrete Mathematics
- MATH259 - 14B (HAM) - Mathematical Modelling
- 300 level
- COMP340 - 14A (HAM) - Reasoning about Programs
- MATH310 - 14B (HAM) - Modern Algebra
- MATH311 - 14A (HAM) - Advanced Calculus
- MATH319 - Topics in Pure Mathematics
- MATH320 - 14B (HAM) - Discrete Mathematics and Number Theory
- MATH329 - 14A (HAM) - Topics in Applied Mathematics
- MATH331 - 14B (HAM) - Methods of Applied Mathematics
- MATH333 - Classical Field Theory
- MATH334 - 14A (HAM) - Classical and Quantum Mechanics
- MATH342 - Numerical Mathematics
- Level 4
- COMP428 - Mixed Integer Programming
- Prescriptions for the GradCert(Math) and GradDip(Math)

A Graduate Certificate and Graduate Diploma are available to graduates who have not included Mathematics at an advanced level in their first degree.

For further details, contact the Faculty of Computing and Mathematical Sciences Office. - COMP528 - Mixed Integer Programming
- MATH511 - 14B (HAM) - Semigroups and Universal Algebra
- MATH541 - 14A (HAM) - Classical Partial Differential Equations
- MATH543 - 14B (HAM) - Nonlinear Dynamics and Chaos
- SCIE501 - 14B (HAM) - Research Methods in the Sciences
- Prescriptions for the BCMS(Hons), PGCert(Math), PGDip(Math), BA(Hons), BSc(Hons), MA and MSc

To complete a BA(Hons) in Mathematics, students must gain 120 points at 500 level, including at least 30 points in research (normally MATH591) and at least 30 points from papers listed for Mathematics.

To complete an MA in Mathematics, students must take a 120 point thesis, a 90 point thesis and 30 points from approved 500 level papers, or a 60 point dissertation and 60 points in approved 500 level papers.

Candidates for graduate qualifications should select their papers in consultation with the Graduate Adviser of the Department of Mathematics.

Enrolment in papers towards the BSc(Hons) is only by invitation of the Chairperson. To complete a BSc(Hons) in Mathematics, students must complete 120 points at 500 level, including at least 60 points from the papers listed for Mathematics, of which at least 30 points must be in research (normally MATH591). - MATH501 - 14A (HAM) - Metric Spaces
- MATH505 - Topics in Analysis and Topology
- MATH506 - Combinatorics
- MATH509 - Number Theory
- MATH512 - Continuous Groups
- MATH513 - 14B (HAM) - Finite Groups
- MATH515 - Analytic Number Theory
- MATH516 - 14A (HAM) - Topics in Discrete Mathematics
- MATH518 - Rings and Modules
- MATH520 - 14Y (HAM) - Report of an Investigation
- MATH542 - Partial Differential Equations 2
- MATH553 - 14A (HAM) - Fluid Dynamics
- MATH554 - 14B (HAM) - Astrophysical Fluids
- MATH555 - 14A (HAM) - Advanced Classical Mechanics
- MATH556 - 14A (HAM) - Quantum Mechanics
- MATH564 - Special Relativity
- MATH565 - General Relativity
- MATH581 - 14A (HAM) & 14B (HAM) - Special Topic in Mathematics 1
- MATH582 - 14A (HAM) & 14B (HAM) - Special Topic in Mathematics 2
- MATH591 - 14C (HAM) - Dissertation
- MATH592 - 14C (HAM) - Dissertation
- MATH593 - 14C (HAM) - Mathematics Thesis
- MATH594 - 14C (HAM) - Mathematics Thesis
- Prescriptions for the MPhil

The Master of Philosophy is an 18 month research-based degree in which students undertake a programme of approved and supervised research that leads to a thesis which critically investigates an approved topic of substance and significance, demonstrates expertise in the methods of research and scholarship, displays intellectual independence and makes a substantial original contribution to the subject area concerned, and is of publishable quality. - MATH800 - 14C (HAM) - Mathematics MPhil Thesis
- Prescriptions for the PhD

The Doctor of Philosophy is at least a two year research-based degree in which students undertake a programme of approved and supervised research that leads to a thesis which critically investigates an approved topic of substance and significance, demonstrates expertise in the methods of research and scholarship, displays intellectual independence and makes a substantial original contribution to the subject area concerned, and is of publishable quality. - MATH900 - 14C (HAM) - Mathematics PhD Thesis

**Current information as of 8 April 2014 2:46pm**