This document contains information about the course "Theory of Probability" taught at New York University in the summer of 2009. The goals of the course are to introduce the mathematical treatment of random phenomena occurring across various sciences. Topics covered include axioms of probability, combinatorial analysis, binomial distribution, Poisson and normal approximation, random variables, generating functions, and the central limit theorem. The course is taught by Professor Matthew Leingang and contains sample problems, homework, quizzes, exams, and grading information.

1. V63.0233: Theory of Probability
New York University, Summer 2009

2. Goals

3. Goals
“An introduction to the mathematical treatment
of random phenomena occurring in the natural,
physical, and social sciences. Axioms of
mathematical probability, combinatorial analysis,
binomial distribution, Poisson and normal
approximation, random variables and probability
distributions, generating functions, the Central
Limit Theorem and Laws of Large Numbers.”

4. Prof. Matthew Leingang
Warren Weaver Hall 624
(212-99)8-3107
leingang@courant.nyu.edu

5. Get to Know Indiana

6. Get to Know Indiana

7. Get to Know Indiana

8. Get to Know Indiana
“The Crossroads of America”

9. Hatsumon

10. Hatsumon
Problems you will be able to solve after this course

11. How many ways can you
order a cheesesteak?

12. How many
telephone
numbers
are
possible in
North
America?

13. Why does a flush beat a straight?

14. How much
is a Little Bit
of Luck?

15. Can you trust an
eyewitness?

16. 8-0?

17. 6
4
B
2
-5 O A 5
-2
Area ABO = 6.3144 cm2
-4

18. A triangle has one edge 3 6
inches long and one edge 5
inches long.
4
B
2
-5 O A 5
-2
Area ABO = 6.3144 cm2
-4

19. A triangle has one edge 3 6
inches long and one edge 5
inches long.
What would you expect its 4
B
area to be?
2
-5 O A 5
-2
Area ABO = 6.3144 cm2
-4

20. How long to complete
a collection?

21. Do slot machines get
“hot” or become
“due”?

22. Course
Business

23. Prerequisites

24. Homework

25. Participation

26. Quizzes and Exams

27. Book

28. Grades
93 A
HWParticipation
90 A-
10% 10%
87 B+
Final
Midterm 83 B
30%
30%
80 B-
Quizzes 75 C+
20%
65 C
50 D

29. Questions?

30. We are here to help