Study Planner Information
Year 1 Study Planner
What do the different requirements mean?
 Compulsory – all students must complete this course
 Prerequisite for major – a course required for this major
 Recommended – a course which complements the major, but can be substituted for an elective
 Elective – an elective course from the course list, or as permitted by the program rules
Course Code & Title  Requirements 

SCIE1000 Theory & Practice in Science  Compulsory 
[
MATH1051 Calculus & Linear Algebra I^{1,3} OR MATH1071 Advanced Calculus & Linear Algebra I^{3} ] 
Prerequisite for major 
MATH1061 Discrete Mathematics  Prerequisite for major 
Elective  Elective 
Course Code & Title  Requirements 

[
STAT1201 Analysis of Scientific Data OR STAT1301 Advanced Analysis of Scientific Data ] 
Compulsory 
[
MATH1052 Multivariate Calculus & Ordinary Differential Equations^{3} OR MATH1072 Advanced Multivariate Calculus & Ordinary Differential Equations^{3} ] 
Prerequisite for major 
Elective  Elective 
Elective  Elective 
^{1} Students without at least a Sound Achievement in Senior Maths C are required to take MATH1050 as an elective before MATH1051.
^{2} MATH1050 is not available for students with a High Achievement or higher in Senior Maths C. MATH1050 is not available to students who have passed MATH1051 and/or MATH1071 and/or MATH1052 and/or MATH1072.
^{3} 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.
Year 2 to 3 Study Planner
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
Choose a study plan

Pure (Algebra and Discrete Mathematics)
Year 2
Semester Required for Major Recommended 1 MATH2001 Advanced Calculus and Linear Algebra II
[ MATH2400 Mathematical Analysis^{1}
OR
MATH2401 Mathematical Analysis and Advanced Topics^{1} ]
Choose at least 2 units from:[ MATH2301 Linear & Abstract Algebra & Number Theory
2 MATH2302 Discrete Mathematics II ]
MATH2100 Applied Mathematical Analysis
STAT2004 Statistical Model & Analysis
[ SCIE3255 Mathematics & Physics Industry Placement^{2}
OR
SCIE3050 Science Industry Placement^{2} ]^{1} 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.
^{2} This course runs in summer semester. Students may apply to undertake this course as an elective, or participate in other summer placement or research opportunities, at the end of second or third year during the summer semester.Year 3
Semester Required for Major Recommended 1 MATH3401 Complex Analysis
Choose at least 6 units from:[ MATH3302 Coding & Cryptography
MATH3303 Abstract Algebra & Number TheoryMATH3202 Operations Research
MATH3402 Functional Analysis
STAT3003 Experimental Design2 MATH3306 Set Theory & Mathematical Logic
MATH3301 Graph Theory & Geometry ]MATH3404 Optimisation Theory

Pure (Analysis)
Year 2
Semester Required for Major Recommended 1 MATH2001 Advanced Calculus and Linear Algebra II
[ MATH2400 Mathematical Analysis^{1}
OR
MATH2401 Mathematical Analysis and Advanced Topics^{1} ]
Choose at least 2 units from:[ MATH2301 Linear & Abstract Algebra
STAT2003 Probability & Statistics 2 MATH2100 Applied Mathematical Analysis ]
COSC2500 Numerical Methods in Computational Science
MATH2302 Discrete Mathematics II
[ SCIE3255 Mathematics & Physics Industry Placement^{2}
OR
SCIE3050 Science Industry Placement^{2} ]^{1} 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.
^{2} This course runs in summer semester. Students may apply to undertake this course as an elective, or participate in other summer placement or research opportunities, at the end of second or third year during the summer semester.Year 3
Semester Required for Major Recommended 1 MATH3401 Complex Analysis
Choose at least 6 units from:[ MATH3402 Functional Analysis
MATH3101 Bifurcation and Chaos
MATH3303 Abstract Algebra & Number Theory2 MATH3403 Partial Differential Equations
MATH3404 Optimisation Theory
MATH3405 Differential Geometry ]MATH3102 Applied Mathematics
STAT3004 Probability Models & Stochastic Processes

Applied Mathematics
Year 2
Semester Required for Major Recommended 1 MATH2001 Advanced Calculus and Linear Algebra II
[ MATH2400 Mathematical Analysis^{1}
OR
MATH2401 Mathematical Analysis and Advanced Topics^{1} ]BIOL2010 Ecology
SCIE2100 Introduction to Bioinfomatics
STAT2003 Probability & Statistics2 Choose at least 2 units from: [ COSC2500 Numerical Methods in Computational Science
MATH2100 Applied Mathematical Analysis ]PHYS2100 Dynamics, Chaos & Special Relativity
STAT2004 Statistical Model. & Analysis
[ SCIE3255 Mathematics & Physics Industry Placement^{2}
OR
SCIE3050 Science Industry Placement^{2} ]^{1} 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.
^{2} This course runs in summer semester. Students may apply to undertake this course as an elective, or participate in other summer placement or research opportunities, at the end of second or third year during the summer semester.Year 3
Semester Required for Major Recommended 1 MATH3401 Complex Analysis
Choose at least 6 units from:[ MATH3101 Bifurcation and Chaos
MATH3104 Mathematical BiologyMATH3090 Financial Mathematics
MATH3202 Operations Research & Mathematical Planning2 MATH3070 Natural Resource Mathematics
MATH3102 Applied Mathematics
MATH3204 Numerical Linear Algebra and Optimisation
MATH3403 Partial Differential Equations ]BIOL3014 Advanced Bioinformatics
STAT3004 Probability Models & Stochastic Processes

Mathematical Physics
Year 2
Semester Required for Major Recommended 1 MATH2001 Advanced Calculus and Linear Algebra II
[ MATH2400 Mathematical Analysis^{1}
OR
MATH2401 Mathematical Analysis and Advanced Topics^{1} ]
Choose at least 2 units from:[ MATH2301 Linear & Abstract Algebra
2 MATH2100 Applied Mathematical Analysis
PHYS2100 Dynamics, Chaos & Special Relativity ]COSC2500 Numerical Methodology in Computational Science
PHYS2041 Quantum Physics
[ SCIE3255 Mathematics & Physics Industry Placement^{2}
OR
SCIE3050 Science Industry Placement^{2} ]^{1} 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.
^{2} This course runs in summer semester. Students may apply to undertake this course as an elective, or participate in other summer placement or research opportunities, at the end of second or third year during the summer semester.Year 3
Semester Required for Major Recommended 1 MATH3401 Complex Analysis
Choose at least 6 units from:[ MATH3101 Bifurcation and Chaos
PHYS3040 Quantum Physics 2 MATH3102 Methods & Models of Applied Mathematics
MATH3103 Algebraic Methods in Mathematical Physics
MATH3405 Differential Geometry ]MATH3403 Partial Differential Equations

Financial Mathematics
Year 2
Semester Required for Major Recommended 1 MATH2001 Advanced Calculus and Linear Algebra II
[ MATH2400 Mathematical Analysis^{1}
OR
MATH2401 Mathematical Analysis and Advanced Topics^{1} ]
Choose at least 2 units from:[ STAT2003 Probability & Statistics
– 2 STAT2004 Statistical Model & Analysis ]
COSC2500 Numerical Methods in Computational Science
MATH2100 Applied Mathematical Analysis
[ SCIE3255 Mathematics & Physics Industry Placement^{2}
OR
SCIE3050 Science Industry Placement^{2} ]^{1} 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.
^{2} This course runs in summer semester. Students may apply to undertake this course as an elective, or participate in other summer placement or research opportunities, at the end of second or third year during the summer semester.Year 3
Semester Required for Major Recommended 1 MATH3401 Complex Analysis
Choose at least 6 units from:[ MATH3090 Financial Mathematics
MATH3202 Operations Research & Mathematical PlanningMATH4091 Financial Calculus
FINM3402 Investments & Portfolio Management^{3}2 STAT3004 Probability Models & Stochastic Processes
MATH3404 Optimisation Theory ]MATH4090 Computation in Financial Mathematics
^{3} This course is not listed in Part B of the BSc list. It cannot count towards the 12 units of Late Year courses required for Part B.
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, discrete mathematics and differential equations. From second year 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 BoseEinstein condensates, superconductivity, and condensed matter systems.
Mathematics is available as a single or extended major.