Mathematical and computational sciences
The study of Applied mathematics – a fascinating, challenging and inspirational field – will see you using mathematical techniques and models to obtain practical solutions to concrete problems. The course will foster your natural curiosity and your innovative problem-solving skills will come to the fore.
Applications of mathematics span most branches of modern science, medicine, engineering, information technology and commerce. Applied mathematics will equip you with the tools required to develop new mathematical theories or adapt existing approaches to specific applications.
Applied mathematicians do not just rely on existing mathematical theories and techniques – they often need to develop new theories or adapt existing approaches to the specific application. They try to view problems in an abstract form, so they can identify links with other applications and build upon the existing knowledge.
A key feature of applied mathematics is its emphasis on the mathematical techniques and approaches used, and what they are able to reveal about each application, rather than a detailed understanding of the application area itself.
You will develop exceptional skills in problem-solving, critical thinking, modelling, learning, analysis, research and creativity. These skills are highly sought after by employers.
Diverse career opportunities await graduates in a variety of fields, including finance, computing and insurance industries, medical and scientific research and development, the public service, journalism and teaching.
If you're interested in using computers to construct and apply mathematical models, simulation, numerical methods and data-analysis techniques to solve scientific problems, then this is the major for you.
Computational science ranges from understanding the interactions of sub-atomic particles through to our knowledge of the processes that shape stars and galaxies; from the molecular basis of life, through to the processes that govern outbreaks of epidemics, the sustainability of ecosystems and the dynamics of the biosphere.
No area of cutting-edge science today is conducted without the assistance of computational science techniques.
Computational science at Monash will take you through the theoretical and practical fundamentals of Computer Science and algorithmic problem-solving, to advanced programming techniques, 3D computer graphics and intelligent systems.
Training in computational science will enhance your job prospects and career potential in biological, physical, mathematical and biomedical sciences, and in the sciences related to the earth, atmosphere and environment. Studies in this area could even see you moving into new discipline areas such as humanities and creative arts, where computational techniques are becoming increasingly relevant in fields such as social science, archaeology, architecture, music and visual art.
Financial and insurance mathematics
Financial and insurance mathematics at Monash teaches the mathematical and statistical techniques for understanding and assessing risk in insurance and financial markets. As an expert in this field, you will be able to determine the likelihood of specific outcomes and develop strategies that allow businesses and governments to either pursue new business opportunities or insure against risks.
Taught jointly by the School of Mathematical Sciences and the Monash Business School, this major will equip you with the skills and sound mathematical knowledge that are in high demand in the insurance and financial industries.
During your studies, you will learn important techniques and processes of probability, statistics and stochastic processes. You'll develop the high-level critical thinking skills to interpret and solve a range of problems that arise in the finance and insurance context, including financial and risk models. You will also acquire the skills to communicate effectively to diverse audiences about financial and insurance processes and results.
As a graduate, you will be equipped for work in the banking industry, investment firms, insurance companies, or in risk-management roles. You could pursue a career at the Australian Bureau of Statistics, the Commonwealth Scientific, Industrial and Research Organisation (CSIRO), or in business-analyst roles, universities, or management consultancy.
At its core, Mathematical statistics deals with models involving a random, unpredictable component. Real-world applications are many and varied, and allow informed decisions to be made in the face of uncertainty.
You'll turn numerical data into useful – often gripping – information about anything from the effect of a new cancer drug, to economic performance, to changes in how we partner and reproduce. Essentially, the study of Mathematical statistics allows us to make sound judgements based on evidence rather than gut feelings.
Mathematical statistics at Monash will provide you with a wealth of diverse and invaluable skills in problem-solving, critical thinking, modelling, analysis and research.
Mathematical statistics is concerned with capturing the interplay of data and theory. It is composed of two crucial parts: mathematical theory and the applications of this theory in the real world. You will be exposed to cutting-edge developments in the field and acquire skills relevant to the current needs of industry.
You will develop an understanding of the important techniques, terminology and processes of probability, statistics and stochastic processes. You will also acquire the high-level ability to solve problems that arise across a range of contexts including science, medicine, economics and engineering.
Successful companies and organisations know their competitive edge depends on the analytical, quantitative and statistical skills of their workforce, and therefore seek employees with a sound mathematical training. When it comes to job opportunities, statistical skills are are widely valued – from the sports arena and market research to finance, forensics, management consulting and medical research.
Mathematics is the universal language used to describe, model, understand and even create aspects of the world around us. The complex and fascinating discipline of mathematics examines numerical, algebraic and analytical structures, and the development of quantitative methods essential for the practice and development of science, engineering, economics and many other fields.
Studying at Monash will expose you to cutting-edge developments in mathematics. Our mathematicians are working on many exciting areas, such as mathematical modelling to predict behaviour, analysis using pure mathematics, and stochastic processes involving risk, randomness and change.
In the broadest sense, mathematics helps us recognise patterns and understand the world. It encompasses a wide range of areas, from mathematical methods to statistics to pure mathematics, and its applications are multifaceted and far-reaching. Mathematics and statistics are the two cornerstones for decision-making across a broad range of contexts.
Through this major you will develop high-level expertise in the important techniques and processes of mathematics, particularly in advanced calculus and linear algebra. You will acquire the critical thinking skills to analyse and solve problems and use and interpret the mathematics that arises across a range of contexts and applications. You will also be able to present mathematical arguments and communicate mathematical processes and results effectively to diverse audiences.
These skills are highly sought after in a wide range of industries. Successful companies and organisations know their competitive edge depends on the analytical and quantitative skills of their workforce, and therefore seek employees with a sound mathematical training.
As a graduate your career options are broad, and you might pursue one of the following rewarding occupations: mathematical modeller; data analyst; business analyst; data-mining analyst; environmental-resource modeller; quantitative analyst; statistician; or mathematics teacher, to name a few.
Pure mathematics deals with the abstract, the rigour and the beauty of perfection. Although the discipline is motivated by reasons other than applications, it often becomes the basis for applied mathematics to solve the most profound and concrete problems.
The theory of prime numbers, for example, has its origins in pure mathematics, studied through curiosity well before the mathematicians who found it fascinating had any idea of potential applications. Today, it is fundamental to the security systems in electronic banking. In a similar way, notions of the curvature of space and time are applied in designing global positioning systems, and imaginary numbers are now used in everything from signal processing to the analysis of fluid flow.
At Monash, Pure mathematics encompasses a wide range of areas of modern mathematics, such as numbers theory, algebra, geometry, analysis and topology.
In studying this major you will develop high-level expertise in the important techniques, language and processes of pure mathematics – particularly advanced analysis, algebra and geometry. You will strengthen your capacity to apply and generate mathematical knowledge through abstraction and insight, acquiring the critical thinking skills to interpret and solve problems that arise within a range of areas of pure mathematics. You will also be able to present a precise mathematical argument in a way that can be communicated effectively to diverse audiences.
When you graduate you will possess skills that are highly sought after by employers. You will also be able to choose a career in a wide variety of fields, including teaching; the finance, computing and insurance industries; medical and scientific research; the public service; and journalism.