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We are
now done with the Math Camp. You can find the syllabus, problem sets,
quizzes and solutions below. The solution to Quiz 2 is now posted. Please
go over the solutions of both quizzes and make sure you are comfortable
with the techniques employed. Do the same for the problem sets.
A note
on quizzes: The quizzes were meant to do 3 things at once: Test your understanding
of the material, give you some questions to think about, and teach you some
new tricks by showing interesting applications. Therefore, some of the
questions were not straightforward to solve. In every exam, though, I aimed
to make at least 60% of the questions doable for those of you who have
followed lectures, studied regularly and understood concepts. A grade lower
than 50 would be indicative that you need to review the concepts. Grades
higher than 75 would mean you are in a very good standing with respect to
the material.
A note
on the waiver: The waiver will be easier than the quizzes. Make sure you
understand all the concepts/definitions and theorems. Understand why and
when the theorems work, and why and when they don’t. Our aim in the
math camp was twofold: i) Teach you how to construct proofs so you can
communicate ideas in a formal and coherent way ii) Teach you some results
that will be very useful during the first year.
The
waiver will exactly test these two.
Finally,
the content covered is by no means exhaustive; you will still need to learn
new techniques to tackle economic problems. These are relegated to Econ 898
and the rest of first year classes.
Syllabus
Notes on Optimization
Handout on Concave
Functions
Notes on
Continuity of Correspondences and Berge’s Theorem (We will not
cover this one; it is left for Econ 898. The notes are useful, so they will
remain on my website.)
First problem
set is below. You have to work in groups. I will call people to solve the
problems on the board.
Problem Set 1 (due on Thursday)
Problem Set 2 (due on Wednesday)
The
problem set below is not to be submitted. Work on them to practice for the
waiver. I tried to choose questions with different difficulty levels. If
you find some of the questions too hard, you can omit them. I expect the
waiver to be “easy” on the probability part.
Problem Set 3 (not to be submitted)
We will
have one quiz every Friday morning. Below is our first quiz with suggested
solutions.
Quiz 1 (with
suggested solutions)
Summary stats:
Mean: 86
Std: 16
Min: 39
Max: 100
Quiz 2 (with
solutions)
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