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, 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.
1st Year Study Planner
What do the different requirements mean?
 Compulsory for program – all BSc students must complete this course
 Prerequisite for major – course required for this major
 Recommended – other science course which complements the major, but can be substituted for an elective
 Elective  choose a Level 1 course that interests you
Course Code & Title  Requirements 

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

STAT1201 Analysis of Scientific Data  Compulsory for BSc 
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
The following are suggested study plans for this major and should be used as a guide to planning your program. Please refer to the course list to ensure you complete the major requirements.
What do the different columns mean?
 Sem  Semester
 Compulsory courses – compulsory for the major.
 Key courses – electives from the major's course list.
 Recommended courses – complements the major.
Choose a study plan

Pure (Algebra and Discrete Mathematics)
Year 2
Sem Compulsory Courses
Complete all coursesKey Courses
Choose at least #2 from:Recommended Courses 1 MATH2001 Advanced Calculus and Linear Algebra
Either
MATH2400 Mathematical Analysis^{1}
MATH2401 Mathematical Analysis and Advanced Topics^{1}MATH2301 Linear & Abstract Algebra 2 MATH2302 Discrete Mathematics II MATH2100 Applied Mathematical Analysis
STAT2004 Statistical Model & Analysis1. 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 3
Sem Compulsory Courses
Complete all coursesKey Courses
Choose at least #6 from:Recommended Courses 1 MATH3401 Complex Analysis MATH3302 Coding & Cryptography
MATH3303 Abstr Algebra & Number ThMATH3202 Operations Research
MATH3402 Functional Analysis
STAT3003 Experimental Design2 – MATH3306 Set Theory & Logic (Not currently offered)
MATH3301 Graph Theory & GeometryMATH3404 Optimisation Theory 
Pure (Analysis)
Year 2
Sem Compulsory Courses
Complete all coursesKey Courses
Choose at least #2 from:Recommended Courses 1 MATH2001 Advanced Calculus and Linear Algebra
Either
MATH2400 Mathematical Analysis^{1}
MATH2401 Mathematical Analysis and Advanced Topics^{1}– MATH2301 Linear & Abstract Algebra
STAT2003 Probability & Statistics2 – MATH2100 Applied Mathematical Analysis COSC2500 Num Meth in Computational Sci
MATH2302 Discrete Mathematics II1. 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 3
Sem Compulsory Courses
Complete all coursesKey Courses
Choose at least #6 from:Recommended Courses 1 MATH3401 Complex Analysis MATH3402 Functional Analysis MATH3101 Bifurcation and Chaos
MATH3303 Abstr Algebra & Number Th2 MATH3403 Partial Differential Equations
MATH3404 Optimisation TheoryMATH3102 Applied Mathematics
STAT3004 Prob Models & Stochastic Proc 
Applied Mathematics
Year 2
Sem Compulsory Courses
Complete all coursesKey Courses
Choose at least #2 from:Recommended Courses 1 MATH2001 Advanced Calculus and Linear Algebra
Either
MATH2400 Mathematical Analysis^{1}
MATH2401 Mathematical Analysis and Advanced Topics^{1}BIOL2010 Ecology
SCIE2100 Intro to Bioinfomatics
STAT2003 Probability & Statistics2 COSC2500 Num Meth in Computational Sci
MATH2100 Applied Mathematical AnalysisMATH2070 Natural Resource Mathematics
PHYS2100 Dynamics, Chaos & Special Rela
STAT2004 Statistical Model. & Analysis1. 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 3
Sem Compulsory Courses
Complete all coursesKey Courses
Choose at least #6 from:Recommended Courses 1 MATH3401 Complex Analysis MATH3101 Bifurcation and Chaos
MATH3104 Mathematical BiologyMATH3090 Financial Mathematics
MATH3202 Operations Research2 MATH3102 Applied Mathematics BIOL3014 Advanced Bioinformatics
MATH3403 Partial Differential Equations
STAT3004 Prob Models & Stochastic Proc 
Mathematical Physics
Year 2
Sem Compulsory Courses
Complete all coursesKey Courses
Choose at least #2 from:Recommended Courses 1 MATH2001 Advanced Calculus and Linear Algebra
Either
MATH2400 Mathematical Analysis^{1}
MATH2401 Mathematical Analysis and Advanced Topics^{1}MATH2301 Linear & Abstract Algebra 2 – MATH2100 Applied Mathematical Analysis
PHYS2100 Dynamics, Chaos & Special RelaCOSC2500 Num Meth in Computational Sci
PHYS2041 Quantum Physics1. 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 3
Sem Compulsory Courses
Complete all coursesKey Courses
Choose at least #4 from:Recommended Courses 1 MATH3401 Complex Analysis MATH3101 Bifurcation and Chaos PHYS3040 Quantum Physics 2 MATH3102 Applied Mathematics MATH3403 Partial Differential Equations 
Financial Mathematics
Year 2
Sem Compulsory Courses
Complete all coursesKey Courses
Choose at least #2 from:Recommended Courses 1 MATH2001 Advanced Calculus and Linear Algebra
Either
MATH2400 Mathematical Analysis^{1}
MATH2401 Mathematical Analysis and Advanced Topics^{1}STAT2003 Probability & Statistics – 2 – STAT2004 Statistical Model & Analysis COSC2500 Num Meth in Computational Sci
MATH2100 Applied Mathematical Analysis1. 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 3
Sem Compulsory Courses
Complete all coursesKey Courses
Choose at least #6 from:Recommended Courses 1 MATH3401 Complex Analysis MATH3090 Financial Mathematics
MATH3202 Operations ResearchMATH4091 Financial Calculus
FINM3402 Investments & Portfolio Manag^{2}2 – STAT3004 Prob Models & Stochastic Proc MATH4090 Financial Math Computation
MATH3404 Optimisation Theory2. These courses are not listed in Part B of the BSc list. It cannot count towards the #12 of Late Year courses required for Part B.
Careers in Mathematics
Mathematics graduates are sought after by employers, for their excellent quantitative skills and problem solving abilities. Employment opportunities exist for mathematics graduates in a wide range of lucrative positions in the public and private sectors. Graduates work in statistics, operational research or financial mathematics in banking, finance, insurance and risk management. Mathematics graduates find employment in such areas as:
 The Environmental, Physical and Biomedical Sciences
 Engineering
 Defense
 Information Technology
 Animation
 Transport and Logistics
 Teaching (when combined with a teaching qualification)
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.
Many BSc graduates also enter into further researchbased studies in Honours, Masters and Doctor of Philosophy (PhD) programs. 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.
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