Mathematics can be divided into two main areas: pure and applied. Pure mathematics is the cerebral side of the subject – maths for the sake of maths – whereas applied mathematics is the exploration of real-life problems using maths and so tends to tie in with many areas of physics. Whichever branch you choose, your degree will normally start by examining fundamental subjects such as calculus, algebra and mechanics, and getting to grips with useful tools such as computing skills. Later in the mathematics, will come opportunities to specialise in modules such as abstract algebra and linear systems in mathematics.
Most degrees last three years, although an increasing number of institutions offer four-year undergraduate courses leading to a Master of Science (MSc), a Master of Computer Science (MComp) or a Master of Mathematics (MMath). The first year covers core units in the basic principles of the subject. In the second and third years, these subjects can be studied in greater depth, while individuals can select modules that are of particular interest. You can also combine subjects to move towards a specialism or career in, for example, computer science with business studies.
Careers for maths graduates
Studying maths will give you an excellent start in your working life. Mathematics will develop your skills of observation, as well as your ability to think logically, handle a large volume of data and work through intellectually challenging problems. All of these are vital qualities in the workplace, so employers look very favourably on computing and mathematics graduates.
Accountant
Many maths students combine their course with another subject such as finance, economics or accountancy. Accountancy, in particular, is one of the more vocational degree subjects, with graduates often moving straight into the profession from university. In exchange for hard work and dedication, those who enter accounting careers can expect good financial and professional benefits. Accountants can work in many different areas, including auditing, corporate finance and management accounting.
Accountants tend to enter the profession on salaries of around £15,000, rising to above £20,000 on qualification. After 10-15 years, experienced accountants can earn up to £100,000. Chartered accountants can earn up to £24,000 during their training period.
Association of Accounting Technicians (AAT)
Actuary
Actuaries apply theories of probability to financial problems, assessing risks, probabilities and the long-term effects of decisions. An actuary might determine how a company should invest its money based on risk and potential return, set the premium for a new type of insurance cover, advise on a company’s pension scheme or employee benefits, or calculate how much damage an earthquake or hurricane could cause.
Typical starting salaries for graduate trainee actuaries can be as high as £35,000, with newly qualified actuaries earning up to £55,000 and those with more experience commanding salaries in excess of £100,000.
The Actuarial Profession
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