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The School of Mathematics and Physics offers units for students specialising in mathematics or intending to use mathematics in other areas. Units are designed to enable students to advance in mathematics and to apply mathematics to other disciplines in the physical and biological sciences, computing, commerce, economics and engineering. Most first year units require TCE Mathematics MTM315109 as a prerequisite, though some require either TCE Mathematics MTM315109or MTA315109. The School provides a Mathematics Foundation Unit KMA003 for those students not having the pre-requisite MTM315109.
Some of the employment opportunities for mathematics graduates are in the following fields: weather forecasting, statistics, operations research, market forecasting, analysis of econometric data, computer programming, data processing, logical design, industrial consultancy, teaching and mathematical research. Typical employers include universities, schools, the CSIRO, government agencies (such as Defence and Australian Bureau of Statistics) and Telstra. In the private sector, opportunities exist with computer firms, insurance companies, mining companies and banks.
The Australian Mathematical Society
The Australian Society for Operations Research
Statistical Society of Australia Inc
Units are offered in pure and applied mathematics and statistics. Mathematics is rapidly becoming the technical language of the computational, physical and biological sciences, and so units in mathematics underpin the theoretical study of aspects of the theme areas. The unit
KMA155 provides the essential foundation material for computer based disciplines. The statistics unit
KMA153 Data Handling and Statistics 1 is vital to any area of study that involves the collection and analysis of data, which includes the theme areas. Antarctic & Marine Science, Sustainable Primary Production, Environment , Community, Place & Change, Population & Health , Frontiers Technology
Second and third-year units in statistics continue this study. The first, second and third-year units
KMA152 Calculus & Applications 1A
KMA154 Calculus & Applications 1B,
KMA252 Calculus and Applications 2,
KMA350 Computational Techniques 3 and
KMA354 Partial Differential Equations, Applications & Methods 3 provide the setting for work applied mathematics and modeling, including oceanography and meteorology studied in the Antarctic and Marine Studies theme area and inductrial applications relevant to the Frontier Technology area. Differential equations, such as studied in the units
KMA154 Calculus & Applications 1B and
KMA254 Differential Equations, Linear Algebra & Applications 2 are vital to the understanding of the growth and decay of populations, which relates to the theme area in Population and Health.
Operations research is a scientific approach to analysing problems and making decisions. It uses mathematics and mathematical modelling to forecast the implications of various choices and to make optimal decisions. It can be used to solve optimization problems in all these areas. The first relevant unit is
KMA155 Discrete Mathematics I. The second and third year units
KMA255 Operations Research 2,
KMA355 Operations Research 3 and
KMA305 Probability Models 3, develop the theory and practice of deterministic and probabilistic Operations Research models and problem solving
The second and third year units
KMA251 Algebra & Applications 2,
KMA351 Algebra and Applications 3,
KMA315 Real & Complex Analysis 3 and
KMA357 Topics in Advanced Mathematics 3, introduce students to major areas of modern mathematical interest.
Selecting mathematics units
The units that students take depend on their major study. Most mathematics units can be divided into streams based on their content emphasis. A major in mathematics can include units from several or all of the streams. See schedules of units below, and the specimen courses above.
The sequence of units for major studies in mathematics is intended to provide, in the first two years, the essential concepts and methods to support theoretical understanding in the fuzzy and crisp sciences. At the same time, there is an emphasis on applications and the gradual development of a modelling approach. In the third year, students are exposed to a broader range of topics, including a range of mathematical and statistical models, and are expected to integrate skills in scholarship, reporting, mathematical modelling and analytic and numerical solution.
On the Launceston campus, the mathematics units are:
These can be chosen for a minor sequence in mathematics, or as Level 100 components of a course to be completed in Hobart
The prescribed texts listed are those used at the time of this publication; however, they may be changed to provide the best available choice. Students should confirm with lecturers which texts might be required.