## 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 Bose-Einstein 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 or MATH1071 Advanced Calculus & Linear Algebra I |
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 or MATH1072 Advanced Multivariate Calculus & Ordinary Differential Equations |
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.

Sem | Compulsory Courses Complete all courses |
Key Courses Choose at least #4 from: |
Key Courses Choose at least #2 from: |
---|---|---|---|

1 | MATH2001 Advanced Calculus and Linear AlgebraEitherMATH2400 Mathematical Analysis ^{1}MATH2401 Mathematical Analysis and Advanced Topics ^{1} |
MATH2301 Linear & Abstract Algebra STAT2003 Probability & Statistics |
MATH2301 Linear & Abstract Algebra SCIE2100 Intro to Bioinfomatics STAT2003 Probability & Statistics |

MATH2100 Applied Mathematical Analysis |
COSC2500 Num Meth in Computational Sci |

Sem | Compulsory Courses Complete all courses |
Key Courses Choose at least #10 from: |
Recommended Courses |
---|---|---|---|

1 | MATH3401 Complex Analysis | MATH3090 Financial Mathematics MATH3104 Mathematical Biology MATH3302 Coding & Cryptography MATH3303 Abstr Algebra & Number Theory MATH3101 Bifurcation and Chaos MATH3201 Scientific Computing: Advanced techniques and applications MATH3202 Operations Research MATH3402 Functional Analysis |
– |

2 | – | MATH3102 Applied Mathematics MATH3103 Algebraic Methods of Mathematical Physics MATH3306 Set Theory & Logic (Not currently offered) MATH3301 Graph Theory & Geometry MATH3403 Partial Differential Equations MATH3404 Optimisation Theory MATH3405 Differential Geometry STAT3004 Prob Models & Stochastic Processes |
– |

1. 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 research-based 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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