hi,

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 :o ) so maybe you could help me making a list of what to look at:

Code:

`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

session 8

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"

what would be the contents list? could you build it as a tree? (i.e. algebra, pre-calculus, calculus, etc)