Thanks for that.
I realise a lot of the skills needed for work in whichever field (finance, quantitative finance, actuary, banking) can and will be learned only then. But before that I have to do well first. I know that I cannot enter uni and simply because I don't have a further maths background I allow myself to fall behind.
Ok well I didn't take further maths that's why I'm planning to take classes or something at least to help me. I'd like to know what there was in Further Maths that I might have missed out on - CIE A level further maths is only A2 and only 2 papers (not sure if this is how it is for everyone)... while other A level boards have further math modules for AS and A2, some of which are interchangeable...
In A level maths I have covered algebra, pemutations and combinations, binomial expansion, polynomials, series/progression, differentiation, integration, differential equations, vectors, complex numbers (and others, but these are specifically mentioned in the CT list).
Now here are things I have never done/heard of (I am reading out of a non-comprehensive CT1-CT8 math content list): interpolation and local approximation, higher order derivatives, Lagrange multipliers/maximisation under constraints, Taylor's theorem (power series expansion of e^x), double integrals and changing their order, partial derivatives of two variables, (what are: exact, separarble, logistic, linear?) differential equations, matrices.
Now here are things in the CIE Further Maths syllabus I don't know: polar curves (how does this relate to polar coordinates?), area of a sector (some integration formula), sum of finite series, mathematical induction (something I am worried about), conjecture, reduction formula to evaluate definite integrals, mean values and centroids of 2D and 3D figures using strips, discs, or shells (including use of a parameter), arc lengths, complementary functions, particular integrals, the general solution, de Moivre's theorem for a positive integral exponent (to express trigonometrical ratios of multiple angles in terms of powers of trigonometrical ratios of the fundamental angle; for a positive or negative rational exponent; in expressing powers of sin θ and cos θ in terms of multiple angles; in the summation of series; in finding and using the nth roots of unity),
some vector product rules with |a||b|sinθ n where n is the unit vector (a2 b3 – a3 b2) i + (a3 b1 – a1 b3) j + (a1 b2 – a2 b1) k, the axioms of a linear (vector) space, linear independence, determine whether a given set of vectors is dependent or independent, the subspace spanned by a given set of vectors, a space is a linearly
independent set of vectors that spans the space, the dimension of a space is the number of vectors in a basis, represent linear transformations, ‘column space', ‘row space', ‘range space' and ‘null space', the rank of a square matrix, and use (without proof) the relation between the rank, the
dimension of the null space and the order of the matrix, use methods associated with matrices and linearspaces in the context of the solution of a set of linear
equations, evaluate the determinant of a square matrix and find the inverse of a non-singular matrix, ‘eigenvalue' and ‘eigenvector', as applied to square matrices, express a matrix in the form QDQ^-1.
What do I need to do? How much of the further pure maths is relevant? Is actuarial maths all about the vectors and matrices, because I don't like vectors and I haven't learned a lot of matrices, as exemplified by the above.
(School said prior statistics knowledge is not required)
Thank you. I hope this is understandable.
-About not taking further maths, it was because it was only A2 - of course now I regret it, but it did not seem like the right choice then, and I wanted to maximise my grades - I was wrong, of course, because A2 further maths would have helped immensely. It's not too late (to catch up before heading to uni?)
Frankly, those who took further maths, hv no significant advantage when taking actuarial science. Further maths and actuarial maths are essentially two different field of maths. While further maths may assist you in your degree, without it, you still would be able to cope.