Quadcopter Using Arduino uno/LEONARDO

Guys i m stressed up !
i have been assigned a duty to create a mathamatical model and as always, i want to include arduino in it:
i tought of a quadcopter so heres my budget :-
82 usd !OR
5000 INR
/- ONLY.....
i live in india so please give me some ideas....
time is in 1 month !

i have been assigned a duty to create a mathamatical model

What does this mathematical model consist of?

Are you looking to use an UNO as the quadcopters processor, because I would think you would want to take weight into consideration and use a barebones arduino (one you make yourself) or an Arduino Nano, Mini or Micro.

82 usd

Is this your total budget, including batteries and motors etc

The only way to do it for that sort of price is to buy a cheap commercial quad (toy) and modify it.

i have been assigned a duty to create a mathamatical model

Are you a mathematician or have a background of knowledge of feedback and control systems ?

If not, I think you have a steep learning curve to create this from scratch. Much better to use existing code.
However if you project is commercial, this may prove problematic because of licensing issues.