Financial mathematics

Maths is a subject that has always appeared in various curricula, and always will. There will therefore be a permanent demand for Mathematics graduates for teaching, but nowadays they are employed in all sorts of industries and professions.

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Mathematics is such a vast subject these days that the traditional divisions into Pure Mathematics, Applied Mathematics and Statistics are becoming less clearly defined. In particular, the traditional close association between Applied Mathematics and Physics is less prevalent, with applications in fields as diverse as Biology and Finance becoming common. Statistics is increasingly important in all sciences, pure and social, not only in the analysis and interpretation of data but also in the design of studies and experiments.

One of the fascinating attractions of Mathematics is that as soon as parts of it separate (like Pure Mathematics and Statistics) so they come back together again, and the study of experimental design involves Pure Mathematics at a high level.

The area of cryptology and the study of devising codes is increasingly important in the age of technology and is a subject that uses and brings together Pure Mathematics thought, appreciation of uncertainty as in Statistics and throws up problems that call on methods of Applied Mathematics for their solution. Who knows what the next age will bring?

With over 2000 Higher Education courses to choose from in Britain, selecting the course that is right for you may be rather daunting. Courses vary from HND and ordinary degrees right through to the most recent Master of Mathematics qualification, which is the gateway to carrying out research in Mathematics. The ordinary degree is a respected qualification showing the ability to think and operate in a methodical way and offers many career opportunities. The three year BSc or BA courses remain the most popular with the option of a broad based course of study across all of Mathematics specialisation in two or just one area, and also of combining Mathematics with another subject in a Joint Honours scheme. You can combine Mathematcis with almost anything including Physics, Chemistry, Biology, Geography, Geology, Economics, Accountancy, Social Science, Languages, History, Music, Art, etc. There are also opportunities for further study with specialist MSc courses in Industrial Mathematics and Medical Statistics just two examples. Many universities offer the possibility of taking an industrial placement year within their course, giving an opportunity to gain extended experience of mathematics in the workplace after first learning considerably about the subject.

Mathematics graduates are widely in demand in accountancy, actuarial applications, finance, production and manufacturing industries as well as management and education. A Mathematics degree can get automatic exemption from many professional examinations, particularly in the accounting and actuarial fields. Degrees with a signficant Statistics components can set you on the path of achieving the professional status of becoming a Graduate or Chartered Statistician recognised by the Royal Statistical Society.

It is very important that you choose a place to study that is right for you. Tjhis means that you must be settled there, so that you can work to your full potential, and also that the course(s) offered match your interests. It is inevitable change as study develops, so it may be worthwhile to ensure that some amount of flexibility and choice exists. So if your interests change, so can your areas of study. If you have the opportunity, visit the university or college before you commit yourself to go there and in any event ask any questions that are important to you.

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Tutoring Mathematics

Learning the fundamentals of mathematics is intrinsically
important to being able to understand 
higher concepts. Mathematics at its very nature is a subject that builds
upon previously learned knowledge. All too often students slip between the
cracks, or are left behind in the classroom setting, as the teacher moves from
one concept to the next when the majority of the students seem able to perform
the requisite skills.

Whether the student is only able to parrot back the answers
without understanding the concepts behind them, or they understand the concepts
but get confused in the actual computing, once they begin to fall behind, it
becomes ever more challenging to catch up. It is vitally important to ensure
that students are comfortable in the theory as well as the practical aspects of
mathematics, and for students who are struggling, tutoring can be the best
solution.

Working one on one, the tutor can discover where the
learning gaps are with relative ease.

It then becomes a matter of returning not
only to the stage where the student is floundering, but more importantly to the
stage immediately preceding that. 

Many people struggle with math, believe that math is hard,
and they will never be good at it. This is in large part because of those gaps
in knowledge and understanding, and if they are not reassured and taken back to
place of competence, then any tutoring will simply be a Band-Aid solution. It
is far better to work for a session or two at a level of competence, to build
up the students confidence and then to move ahead to the next level.

At this point, it is important to assess that there is solid
understanding of the concepts as well as the ability to do the computations.
Once the student has gained mastery of each stage, their confidence will
increase and they will be able to build upon their successes.

Of course, there are students to whom math is a serious
challenge, and it is up to the tutor to find ways to get the concepts across,
be it through math games, the use of manipulatives or with real life examples.
Not all students learn in the same manner, and it behoves the tutor to discover
in what manner their student learns best.

Jonathan Ginsburg
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