Roderich Tumulka:

Mathematical Theory of Probability 01:640:477, Section 2, Fall 2008

Textbook: Sheldon Ross: A First Course in Probability, Seventh Edition, Pearson Prentice Hall (2006), ISBN 0-13-185662-6
Syllabus:

Part I:
Combinatorics, axioms of probability, conditional probability, Bayes' formula, independence, discrete random variables, important discrete distributions [Chap. 1-4].
9 sessions, Sep 3-Oct 1.
Mon Oct 6: Review
First Midterm Exam: Wed Oct 8, 1:40pm

Part II:
Continuous random variables, Gaussian distribution, joint distribution, expectation and variance, independence, conditional distribution, conditional expectation [Chap. 5-7].
7 sessions, Oct 13-Nov 3.
Wed Nov 5: Review
Second Midterm Exam: Mon Nov 10, 1:40pm

Part III:
Weak law of large numbers, strong law of large numbers, central limit theorem, [Chap. 8-9].
7 sessions, Nov 12-Dec 8 [No class on Wed Nov 26 because of Thanksgiving].
Wed Dec 10: Review
Final Exam: Wed Dec 17, 8:00am

Grades
30% homework
20% first midterm exam
20% second midterm exam
30% final exam