Math 154 - TuTh 10-11:30 am - 507 Science Center
Harvard University - Spring 2011
Curtis T McMullen
The course will cover selections from Feller, Chapters I-X of Volume 1 and Chapters I-II of Volume 2.
Topics will include:
- Feller, An Introduction to
Probability Theory and Its Applications ,
Volumes 1 & 2, Wiley.
(Volume 1 is 3rd edition, 2 is 2nd edition).
Additional topics will be included as time permits.
This course will include both proofs and methods for solving concrete problems.
- Combinatorics, binomial coefficients
- Random walks
- Conditional probability and independence
- Binomial, Poisson and normal distributions
- The central limit theorem
- Continuous distributions
A previous mathematics course at the level of Mathematics 19ab, 21ab, or higher.
For students from 19ab or 21ab, previous or concurrent enrollment in Math 101 or 112 may
Freshmen who did well in Math 23, 25 or 55 last term are also welcome to take the course.
Students should take at most one of Stat 110 and Math 154.
Reading and Lectures.
Please read the book before coming to class!
Students are responsible for all topics covered in
the readings and lectures. Lectures may go beyond the
reading, and not every topic in the reading will be
covered in class.
Homework. There will be weekly homework assignments.
Late homework will not be accepted.
Collaboration between students is encouraged,
but you must write your own solutions, understand
them and give credit to your collaborators.
Midterm and Final. There will be one in-class
midterm, and a take-home final during reading period.
Grades. The course grade will based on
homework (30%), the midterm (20%) and the final (50%).
| 25 Jan (Tu) || First class
| 12-20 Mar|| Spring break -- no class
| 26 Apr (Tu) || Last class
| 5 May (Th) || Reading period ends
Course home page: http://math.harvard.edu/~ctm/math154