# Mathematics (2018)

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 Bachelor of Computing and Mathematical Sciences with Honours and the Bachelor of Science. Mathematics may also be included as a second major or minor in other undergraduate degrees, subject to the approval of the Faculty in which the student is enrolled.

To complete Mathematics as a single major for the BCMS(Hons) or the BSc, students must gain 135 points from papers listed for Mathematics, including 105 points above 100 level, and 60 points above 200 level. Students must complete MATHS101, MATHS102, MATHS201, MATHS202, and at least one of MATHS301 and MATHS302. Students may include up to 30 points of STATS-coded papers as part of their Mathematics major. Students in the BCMS(Hons) will also need to take at least 60 points in the subject of Mathematics at 500 level, including MATHS520.

To complete Mathematics as part of a double major for the BCMS(Hons), BSc or other undergraduate degree, students must gain 120 points from papers listed for Mathematics, including 90 points above 100 level, and 45 points above 200 level. Students must complete MATHS101, MATHS102, MATHS201, MATHS202, and at least one of MATHS301 and MATHS302. Students may include up to 30 points of STATS-coded papers as part of their Mathematics major. Students in the BCMS(Hons) will also need to take at least 60 points in the subject of their first major at 500 level including MATHS520 if Mathematics is the first major.

To complete a minor in Mathematics, students must complete 60 points from the papers listed for the Mathematics major, including at least 30 points above 100 level.

**Note:** Students who commenced a major in Mathematics in 2017 or prior are encouraged to contact the Faculty of Computing and Mathematical Sciences for programme advice.

**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
- Prescriptions for the GradCert(Math) and GradDip(Math)
- Prescriptions for the BCMS(Hons), PGCert(Math), PGDip(Math), BA(Hons), BSc(Hons), MA, MSc and MSc (Research)
- Prescriptions for the MPhil
- Prescriptions for the PhD

100 level

- CSMAX170 - 18A (HAM) & 18B (HAM) - Foundations in Computing and Mathematical Sciences
- ENGEN183 - 18A (HAM) & 18B (HAM) - Linear Algebra and Statistics for Engineers
- ENGEN184 - 18A (HAM), 18B (HAM) & 18S (HAM) - Calculus for Engineers
- MATHS101 - 18A (HAM) & 18B (HAM) - Introduction to Calculus
- MATHS102 - 18A (HAM) & 18B (HAM) - Introduction to Algebra
- MATHS135 - 18B (HAM) - Discrete Structures
- MATHS165 - 18A (HAM) & 18B (HAM) - General Mathematics
- MATHS166 - 18A (HAM), 18A (TGA), 18B (HAM) & 18B (TGA) - Management Mathematics
- MATHS168 - 18A (HAM) & 18B (HAM) - Preparatory Mathematics
- STATS111 - 18A (HAM), 18A (TGA), 18B (HAM), 18B (NET) & 18B (TGA) - Statistics for Science
- STATS121 - 18A (HAM) - Introduction to Statistical Methods

200 level

- CSMAX270 - 18B (HAM) - Cultural Perspectives for Computing and Mathematical Sciences
- ENGEN201 - 18B (HAM) - Engineering Mathematics 2
- MATHS201 - 18B (HAM) - Continuing Calculus
- MATHS202 - 18A (HAM) - Linear Algebra
- MATHS203 - 18B (HAM) - Differential Equations and Modelling
- STATS221 - 18A (HAM) - Statistical Data Analysis
- STATS226 - 18B (HAM) - Bayesian Statistics

300 level

- COMP340 - Reasoning about Programs
- COMPX361 - 18B (HAM) - Logic and Computation
- MATH310 - 18B (HAM) - Modern Algebra
- MATH311 - 18A (HAM) - Advanced Calculus
- MATH319 - Topics in Pure Mathematics
- MATH320 - 18A (HAM) - Discrete Mathematics and Number Theory
- MATH329 - 18A (HAM) - Topics in Applied Mathematics
- MATH331 - 18B (HAM) - Methods of Applied Mathematics
- MATH333 - Classical Field Theory
- MATH334 - 18Y (HAM) - Classical and Quantum Mechanics
- MATH342 - Numerical Mathematics
- MATH380 - 18A (HAM) & 18B (HAM) - Topic in Mathematics

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.

Prescriptions for the BCMS(Hons), PGCert(Math), PGDip(Math), BA(Hons), BSc(Hons), MA, MSc and MSc (Research)

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).

- COMP502 - 18A (HAM) - Cryptography
- MATH501 - 18A (HAM) - Metric Spaces
- MATH505 - 18B (HAM) - Advanced Topics in Pure Mathematics
- MATH506 - Combinatorics
- MATH509 - Number Theory
- MATH511 - Semigroups and Universal Algebra
- MATH512 - Continuous Groups
- MATH513 - 18A (HAM) - Finite Groups
- MATH515 - Analytic Number Theory
- MATH516 - 18B (HAM) - Topics in Discrete Mathematics
- MATH517 - 18A (HAM) - Stochastic Differential Equations with Applications to Finance
- MATH518 - Rings and Modules
- MATH520 - 18C (HAM) - Report of an Investigation
- MATH541 - 18B (HAM) - Classical Partial Differential Equations
- MATH542 - Advanced Partial Differential Equations
- MATH543 - Nonlinear Dynamics and Chaos
- MATH553 - Fluid Dynamics
- MATH554 - Astrophysical Fluids
- MATH555 - 18A (HAM) - Advanced Classical Mechanics
- MATH556 - 18B (HAM) - Quantum Mechanics
- MATH564 - Special Relativity
- MATH565 - General Relativity
- MATH581 - 18A (HAM) & 18B (HAM) - Special Topic in Mathematics 1
- MATH582 - 18A (HAM) & 18B (HAM) - Special Topic in Mathematics 2
- MATH591 - 18C (HAM) - Dissertation
- MATH592 - 18C (HAM) - Dissertation
- MATH593 - 18C (HAM) - Mathematics Thesis
- MATH594 - 18C (HAM) - Mathematics Thesis
- SCIE501 - 18B (HAM) - Research Methods in the Sciences

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 - 18C (HAM) - Mathematics MPhil Thesis

Prescriptions for the PhD

The Doctor of Philosophy is a three 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 - 18C (HAM) - Mathematics PhD Thesis

**2018 Catalogue of Papers information as of 20 September 2017 4:40pm**