Bach of Advanced Sci (Hons) specialisation in Mathematics

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Mathematics has many faces. It can be challenging, powerful, fascinating, even mysterious – but above all it is useful. Mathematics makes essential contributions to the biological, information and physical sciences, economics, engineering and finance, but can also be applied to communications, linguistics and genetics.
Wherever problems need to be solved, mathematics has a role to play. For this reason, Mathematics is an excellent major in its own right, or as a second major or supporting subject for many other disciplines.

You can study Mathematics as a postgraduate specialisation in either Faculty of Science or Faculty of Arts programmes.
Postgraduate study in Mathematics increases your knowledge and understanding across a broader and deeper range of topics in Applied Mathematics, Pure Mathematics or Mathematics Education. You will have the opportunity to learn about research, make new discoveries, develop new ways of thinking, and have the exciting and rewarding experience of presenting your own new findings.
Research areas open to exploration include:
- Algebra
- Climate modelling
- Combinatorics
- Complex analysis and differential equations
- Dynamical systems
- Functional analysis and operator theory
- Industrial mathematics
- Mathematical biology
- Mathematics education
- Numerical analysis
- Topology

Mathematics develops advanced problem-solving skills and opens up career opportunities in industry or government, teaching, computer development and programming, systems analysis, operations research and many other fields.

Complete 300 points comprising:

45 points from Stage I Courses, and
60 points for all Stage II Courses, and
60 points for all Stage III Compulsory Courses, and
15 points from Stage III Elective Courses, and
90 points from Level 700 Elective Courses, and
Either:
30 points for all Research Project - 1 Semester, or
30 points for all Research Project - 2 Semesters

Stage I Courses

Complete exactly 45 points from the following:

MATHS 120 - Algebra (15 points)

MATHS 130 - Calculus (15 points)

MATHS 162 - Computational Mathematics (15 points)

MATHS 199 - Advancing in Mathematics (15 points)

Stage II Courses

Complete 60 points for ALL of the following:

MATHS 250 - Algebra and Calculus 2 (15 points)

MATHS 253 - Algebra and Calculus 3 (15 points)

MATHS 254 - Fundamental Concepts of Mathematics (15 points)

MATHS 260 - Differential Equations (15 points)

Stage III Compulsory Courses

Complete 60 points for ALL of the following:

MATHS 320 - Algebraic Structures (15 points)

MATHS 332 - Real Analysis (15 points)

MATHS 340 - Real and Complex Calculus (15 points)

MATHS 361 - Partial Differential Equations (15 points)

Stage III Elective Courses

Complete exactly 15 points from the following:

MATHS 362 - Methods in Applied Mathematics (15 points)

MATHS 363 - Advanced Computational Mathematics (15 points)

Level 700 Elective Courses

Complete exactly 90 points from the following:

MATHS 701 - Introduction to Research in Mathematics Education (15 points)

MATHS 702 - Mathematical Processes in the Curriculum (15 points)

MATHS 703 - What Can Be More Practical Than a Good Theory? (15 points)

MATHS 705 - Contemporary Issues in Mathematics Education (15 points)

MATHS 706 - Technology and Mathematics Education (15 points)

MATHS 707 - Special Topic (15 points)

MATHS 708 - Special Topic (15 points)

MATHS 709 - Special Topic (15 points)

MATHS 710 - Directed Study in Mathematics Education (15 points)

MATHS 711 - Directed Study in Mathematics Education (30 points)

MATHS 711A - Directed Study in Mathematics Education (15 points)

MATHS 711B - Directed Study in Mathematics Education (15 points)

MATHS 712 - Teaching and Learning in Algebra (15 points)

MATHS 713 - Logic and Set Theory (15 points)

MATHS 714 - Number Theory (15 points)

MATHS 715 - Graph Theory and Combinatorics (15 points)

MATHS 720 - Group Theory (15 points)

MATHS 721 - Representations and Structure of Algebras and Groups (15 points)

MATHS 725 - Lie Groups and Lie Algebras (15 points)

MATHS 730 - Measure Theory and Integration (15 points)

MATHS 731 - Functional Analysis (15 points)

MATHS 734 - Algebraic Geometry (15 points)

MATHS 735 - Analysis on Manifolds and Differential Geometry (15 points)

MATHS 740 - Complex Analysis (15 points)

MATHS 750 - Topology (15 points)

MATHS 761 - Dynamical Systems (15 points)

MATHS 762 - Nonlinear Partial Differential Equations (15 points)

MATHS 763 - Advanced Partial Differential Equations (15 points)

MATHS 764 - Mathematical Biology (15 points)

MATHS 765 - Mathematical Modelling (15 points)

MATHS 766 - Inverse Problems (15 points)

MATHS 769 - Stochastic Differential and Difference Equations (15 points)

MATHS 770 - Advanced Numerical Analysis (15 points)

MATHS 777 - Project in Mathematics 1 (15 points)

MATHS 781 - Special Topic (15 points)

MATHS 782 - Special Topic (15 points)

MATHS 783 - Special Topic (15 points)

MATHS 784 - Special Topic (15 points)

MATHS 785 - Dissertation in Mathematics Education (45 points)

MATHS 785A - Dissertation in Mathematics Education (15 points)

MATHS 785B - Dissertation in Mathematics Education (30 points)

MATHS 786 - Special Topic (15 points)

MATHS 787 - Special Topic: Inverse Problems and Stochastic Differential Equations (15 points)

MATHS 788 - Special Topic (15 points)

MATHS 789 - Special Topic (15 points)

Research Project - 1 Semester

Complete 30 points for ALL of the following:

MATHS 776 - Honours Research Project (30 points)

Research Project - 2 Semesters

Complete 30 points for ALL of the following:

MATHS 776A - Honours Research Project (15 points)

MATHS 776B - Honours Research Project (15 points)