[944] Midterm

[Gautam Iyer]

Dear All,

A quick reminder: Your midterm will be Wed, Feb 8th, in class. It will
cover everything up to and including Itô's formula. (I will finish this
up in class tomorrow and only do examples / review before the midterm).

The exam will focus on 

    1. Conditional expectations

    2. Brownian motion
    
    3. Martingales

    4. Quadratic variation
    
    5. Itô's formula.

It might include questions on other things (e.g. sub/super martingales,
measurability, random variables, expectation, independence, etc.), but,
with very high probability, it will include at least one question on
each of numbered points above.

I put up midterms from the last two years, when the course was taught by
a different instructor. (He insists on tree murder using a 12 point font
and 2 inch margins. Unfortunately there isn't anything I can do about
this...)

I also only have the file containing BOTH the exam and solutions. I
STRONGLY recommend you DO NOT look at the solutions, and try the
problems yourself first, and finally compare your answer with the
solutions. (Q3(b) on the 2016 midterm covers something we haven't done,
so you can skip that if you can't make sense of it.)

Finally, I've heard that in previous years many students underestimated
the midterm and end up doing badly on it. I hope my email is sufficient
warning that you won't fall for the same trap. Remember that your
midterm is closed book, and you aren't allowed phones, calculators,
watches etc. I strongly recommend you practice for your exam
accordingly. (As a word of caution: previous years exams are always
easier when attempted in the comfort of your own room.)

Best,

Gautam

-- 
Isaac Asimov said that if you want to find a chemist, ask him/her to
discuss the following words: 1) mole 2) unionized. As he so eloquently
put it, "If he starts talking about furry animals and organized labor,
keep walking."