Study Planner Information

Year 1 Study Planner

Program Rules Course List

What do the different columns mean?

  • Required for Major – a course required for this major
  • Recommended – a course which complements the major, but can be substituted for an elective
Year 1
Semester Required for Major Recommended
1 SCIE1100 Theory & Practice in Science
MATH1061 Discrete Mathematics

[ MATH1051 Calculus & Linear Algebra I1
OR
MATH1071 Advanced Calculus & Linear Algebra I2 ]
Please refer to course list
2 SCIE1200 Introduction to Science Research

[ STAT1201 Analysis of Scientific Data5
OR
STAT1301 Advanced Analysis of Scientific Data5 ]

[ MATH1052 Multivariate Calculus & Ordinary Differential Equations2
OR
MATH1072 Advanced Multivariate Calculus & Ordinary Differential Equations2 ]
Please refer to course list

1. Students without Queensland Senior Maths C should complete MATH1050 before MATH1051.
2. Students with a high achievement in Senior Maths C (or a 6 or 7 in MATH1050) should take the sequence MATH1071, MATH1072 and MATH2401. Students with a sound achievement in Senior Maths C (or a 4 or 5 in MATH1050) should take the sequence MATH1051, MATH1052 and MATH2400.
5. Students who intend to major in Mathematics should take STAT1301. Other students with an interest in advanced mathematics and at least a high achievement in Maths C or a 6 in MATH1050 are encouraged to take STAT1301.

Year 2 to 3 Study Planner

Program Rules Course List

What do the different columns mean?

  • Required for Major – a course required for this major
  • Recommended – a course which complements the major, but can be substituted for an elective
Year 2
Semester Required for Major Recommended
1 MATH2001 Advanced Calculus and Linear Algebra3

[ MATH2400 Mathematical Analysis2
OR
MATH2401 Mathematical Analysis and Advanced Topics2 ]

Choose at least 4 units from:

[ MATH2301 Linear &Abstract Algebra & Number Theory
SCIE2100 Introduction to Bioinformatics
STAT2003 Probability &Statistics

Please refer to the Course List
2

COSC2500 Numerical Methods in Computational Science
MATH2070 Natural Resource Mathematics
MATH2100 Applied Mathematical Analysis
MATH2302 Discrete Mathematics II
PHYS2100 Dynamics, Chaos & Special Relativity
STAT2004 Statistical Modelling & Analysis ]

Please refer to the Course List

2. Students with a high achievement in Senior Maths C (or a 6 or 7 in MATH1050) should take the sequence MATH1071, MATH1072 and MATH2401. Students with a sound achievement in Senior Maths C (or a 4 or 5 in MATH1050) should take the sequence MATH1051, MATH1052 and MATH2400.
3. Available in Semester 1 & 2

Year 3
Semester Required for Major Recommended
1 MATH3401 Complex Analysis

Choose at least 8 units (but must include at least 2 units not coded MATH34XX or MATH44XX):

[ MATH3090 Finanical Mathematics
MATH3101 Bifurcation &Chaos
MATH3104 Mathematical Biology
MATH3201 Scientific Computing:Advanced Techniques and Applications
MATH3202 Operations Research &Mathematical Planning
MATH3302 Coding & Cryptography
MATH3303 Abstract Algebra & Number Theory
MATH3402 Functional Analysis

Please refer to the Course List
2

MATH3102 Methods and Models of Applied Mathematics
MATH3103 Algebraic Methods of Mathematical Physics
MATH3301 Graph Theory and Design Theory
MATH3306 Set Theory & Mathematical Logic
MATH3403 Partial Differential Equations
MATH3404 Optimisation Theory
MATH3405 Differential Geometry
STAT3004 Probability Models & Stochastic Processes ]


[ SCIE3250 Introduction to Research in Mathematics/Physics
OR
SCIE3251 Introduction to Research in Mathematics/Physics ]
Please refer to the Course List

4. Any Level 4 Mathematics course with the permission of the Executive Dean. Students will not be permitted to take MATH44XX if they have already completed #8 of MATH34XX.

Year 4 Study Planner

Program Rules Course List

What do the different columns mean?

  • Required for Major – a course required for this major
  • Recommended – a course which complements the major, but can be substituted for an elective
Year 4
Semester Required for Major Recommended
1 MATH6010 Mathematics Honours Research Project5

Choose at least 10 units from:

[ MATH4091 Financial Calculus
MATH4105 General Relativity
MATH4302 Combinatorial Designs7
MATH4303 Partial Differential Equations6
MATH4402 Ordinary Differential Equations III/IVH6
MATH4403 Partial Differntial Equations III/IVH7
STAT4403 Advanced Probability & Stochastic processes I6
STAT4404 Advanced Probability & Stochastic Processes II7

Please refer to the Course List
2

MATH4090 Computation in Financial Mathematics
MATH4104 Advanced Hamiltonian Dynamics & Chaos7
MATH4106 Advanced Mathematical Methods & Models A6
MATH4107 Advanced Mathematical Methods & Models B7
MATH4201 Applications of Scientific Computing
MATH4202 Advanced Topics in Operations Research
MATH4301 Advanced Algebra7
MATH4304 Number Theory6
MATH4404 Functional Analysis III/IVH7
MATH4405 Measure Theory6
MATH4406 Control Theory III/IVH6 ]

Please refer to the Course List

5. Students can complete either MATH6010 or MATH6020
6. Offered even years only
7. Offered odd years only

What will I study?

UQ offers a wide range of courses in mathematics and its applications. In their first year, students study essential topics in calculus, linear algebra and differential equations. In later years students select from more specialised courses. These emphasise new ideas in mathematics, and include recent applications in coding and cryptology, mathematical physics, mathematical biology, bioinformatics, and finance.

Pure Mathematics (Algebra & Discrete Mathematics)

Algebra studies abstract mathematical structures beginning with vector spaces, groups, and rings. It leads on to the study of number theory and to applications in mathematical physics, coding, and cryptology. Discrete mathematics studies the ways objects can be rearranged and linked together, and includes combinatorics and graph theory. These subjects are basic to many of the large problems arising in information technology and bioinformatics. The department has a particularly strong research program in combinatorics, covering a wide variety of subdisciplines including algebraic combinatorics, bioinformatics, combinatorial group theory, design theory, and graph theory.

Pure Mathematics (Analysis)

Mathematical analysis is the area of mathematics that most appeals to people who like calculus. It provides a rigorous foundation for differentiation and integration, and its ideas are basic in the understanding of many fields of contemporary mathematics, including differential equations, probability theory, stochastic processes, and control theory. Current research in this area includes nonlinear differential equations arising from physical and biological models, dynamical systems, control theory and economics, stochastic processes, and applications to financial mathematics and biology.

Applied Mathematics

Applied mathematicians use mathematics to understand the world around us. The applied mathematics courses develop the mathematical methods that have proved particularly useful, and apply these methods to physical and biological systems. The department has significant research strengths in material science and mathematical ecology.

Financial Mathematics

Today, advanced mathematical models are used routinely in finance. Mathematics is used to monitor and direct the investments of superannuation funds and investment managers. Partial differential equations are used to price options. The new Basel 2 accord on international bank regulation requires sophisticated modeling of a bank’s overall risk. The core courses in financial mathematics provide a background in finance and an introduction to the basic techniques of stochastic processes, statistics, and computational methods. These can be combined with further courses in finance, statistics, or computational mathematics. The mathematics department hosts an interdisciplinary group of statisticians, mathematical analysts, and computational mathematicians interested in financial mathematics and its application in the energy markets.

Mathematical Physics

Many breakthroughs in the development of physical theories, particularly in the realm of quantum physics, have been underpinned by the application of novel mathematical techniques. Research in mathematical physics at UQ covers a broad spectrum from areas of pure mathematics (Lie and quantum algebras, supersymmetry, low dimensional topology) through to applications in areas such as Bose-Einstein condensates, superconductivity, and condensed matter systems.