let me start saying that this is a brilliant forum. i've seen tons of interesting stuff
i am a masters student studying business economics. i've always been highly fascinated by math, and quite gifted when compared to my average class-mate... wich is not much, as my courses never had much math content :x
the next year i will be able to choose a course (named something like "mathematics applied to management and finance", the course is taken in french) and i see it as a big personal challange i want to take.
the course is obliviously above my level and the teacher is not very kind but i am highly motivated. i would like to fill the gap with self-study
the problem is that i am not sure of what i should be looking at!
i will try to translate the contents of the course (in french ) so maybe you could help me making a list of what to look at:
what would be the contents list? could you build it as a tree? (i.e. algebra, pre-calculus, calculus, etc)
1st and 2nd session:
real variable functions (quick review), solving the equation f(x) = 0 (numerical methods, application on Excel), multiple real variables functions.
cobb-douglas function, utility function
session 3, 4 and 5
optimization (with and without constraints). matrix calculations, simmetric matrix, hessien's matrix, lagrange's. (application on excel)
matrix of variance and co-variance, risk modeling of a portfolio.
article: reading and analyzing markowitz's "a portfolio selection"
article: reading and analyzing Stigler's "the adoption of the marginal utility theory"
session 6 and 7
integral calculus, multiple integrals
financial calcoulations with compounded rates
probabilities, the big laws of continuing probabilities, moments calculus
session 9 and 10
introduction to stochastic models. brownian movement
article: reading and analyzing Black & Scholes "the pricing of options and corporate liabilities"