Study Planner Information

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.

 

1st to 4th Year Study Planners

The following are suggested study plans for this major and should be used as a guide to planning your program. BAdvSc(Hons) students will complete #64 units in total, comprising:

  • #6 for Part A (STAT1301, SCIE1100 and SCIE2011)
  • #6 (science or non-science) electives
  • #52 for the requirements for a major as per the course list

To fulfil the Mathematics major, you are required to complete a total of #52 including:

  • #22 of Compulsory Courses
  • #24 from an approved combination of Key Courses
  • #6 from any courses on the BAdvSc (Hons)or BSc course list in one specific discipline (eg. physics, statistics or biology) not listed in this major

Please refer to the course list to ensure you complete the major requirements.

How do I use the Study Plans?

  1. Take all Compulsory Courses in each semester.
  2. Select required number of units in Key Courses for each year level.
  3. Fill any gaps in each semester with Key or Elective Courses to ensure you meet the BAdvSc(Hons) requirements and rules.

What do the different requirements mean?

  • Compulsory for program – all students must complete this course
  • Key courses – electives from the major's course list.
  • Elective - #6 from any courses on the BAdvSc (Hons) or BSc course list in one specific discipline (eg. physics, statistics or biology) not listed in this major. Plus an additional #6 science or non-science electives.
  • Year 1
    Sem Compulsory Courses Key Courses Elective
    1 SCIE1100 Theory & Practice in Science

    MATH1051 Calculus & Linear Algebra I1

    MATH1061 Discrete Mathematics
      Please refer to the Course List
    2 STAT1301 Advanced Analysis of Scientific Data

    MATH1052 Multivariate Calculus & Ordinary Differential Equations.

    SCIE2111 Introduction to Science Research
      Please refer to the Course List
  • Year 2
    Sem Compulsory Courses Key Courses
    Choose at least #4 from:
    Elective
    Choose at least #2 from:
    1  MATH2001 Advanced Calculus and Linear Algebra2

    MATH2400 Mathematical Analysis
    MATH2301 Linear &Abstract Algebra & Number Theory

    STAT2003 Probability &Statistics
    MATH2301 Linear & Abstract Algebra & Number Theory

    SCIE2100 Introduction to Bioinformatics

    STAT2003 Probability & Statistics
     
    2 - MATH2100 Applied Mathematical Analysis

    MATH2302 Discrete Mathematics II: Theory &Applications
    COSC2500 Numerical Methods in Computational Science

    MATH2070 Natural Resource Mathematics

    MATH2100 Applied Mathematical Analysis

    MATH2302 Discrete Mathematics II: Theory & Applications

    PHYS2100 Dynamics, Chaos & Special Relativity

    STAT2004 Statistical Modelling & Analysis
  • Year 3
    Year 3 Compulsory Courses

    Key Courses3

    Choose at least #10 from:

    Elective
    1 MATH3401 Complex Analysis 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
    -
    2   MATH3102 Methods and Models of Applied Mathematics

    MATH3103 Algebraic Methods of Mathematical Physics

    MATH3301 Graph Theory and Design Theory

    MATH3403 Partial Differential Equations

    MATH3404 Optimisation Theory

    MATH3405 Differential Geometry

    STAT3004 Probability Models &Stochastic Processes
    -
  • Year 4
    Year 4 Compulsory Courses Key Courses
    Choose at least #8 from:
    Elective
    1 MATH6006 Special Topics A

    MATH6031 Advanced Mathematics Research Project
    MATH4091 Financial Calculus

    MATH4105 General Relativity

    MATH4303 Advanced Combinatorics

    MATH4402 Ordinary Differential Equations III/IVH
    Please refer to the Course List
    2 - MATH4090 Computation in Financial Mathematics

    MATH4106 Advanced Mathematical Methods & Models A

    MATH4202 Advanced Topics in Operations Research

    MATH4205 Advances in Scienctific Visualisation & Graphics

    MATH4304 Number Theory

    MATH4405 Measure Theory

    MATH4406 Control Theory III/IVH
    -
    1. Students without Queensland Senior Maths C should complete MATH1050 before MATH1051.
    2. Available in Semester 1 & 2
    3. 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.

Mathematics graduates are respected for their excellent quantitative skills and problem solving abilities. They win a wide range of rewarding positions in the public and private sectors. The latest figures from the Graduate Careers Australia (www.graduatecareers.com.au) show 87 per cent of young (<25) mathematics graduates had found jobs by the April following their graduation or were undertaking further study. These figures compare well with those for the related professional degrees of engineering (91 per cent), accounting (86 per cent), and computer science (78 per cent). People who are enthusiastic about doing mathematics can confidently look forward to a rewarding career.

Students with a strong interest and ability in mathematics should consider doing an honours degree. This is an extra year of advanced courses and work on an individual research project. This gives students experience in reading the mathematics research literature and applying recent results and methods to solve problems. An honours degree is the usual path for students who wish to continue doing research and go on to a do a PhD