MAT 135A: Probability (Winter 2015)
Course materials
All files are in the pdf format, which require the free Adobe Acrobat
reader.
- Complete
lecture
notes (prepared by Janko Gravner). Please let me
know of
any mistakes. You will receive extra credit commensurate with
the
resulting improvements.
- Sample Midterm 1.
- Sample Midterm 2.
- Sample Final.
Go to the resources page for
another set of sample exams.
- Standard Normal table
and
Normal
distribution calculator from Hyperstat.
- Midterm 1 will be on February 11, in class. It covers the
first
four chapters of Lecture Notes, and first four homework
assignments.
Topics: combinatorial probability (permutations, combinations),
consequences of the axioms (inclusion-exclusion), conditional
probability, the two Bayes' formulas, and independence. The exam
will
be based on what we covered in class. For practice, solve the
Practice
Exam 1 (in the Lecture Notes) on your own, then look at the
solutions
and solve it again. Then do the same with the Sample Midterm 1
above. solutions
- Midterm 2 will be on Narch 9, in class. It covers Chapters
5-7 in the lecture notes. Topics: discrete random variables
(expectation, variance, binomial, poisson, geometric),
continuous
random variables (density, expectation, variance, distribution
of a
function, uniform, exponential, normal), joint ditributions and
independence, conditional distributions. The exam will be based
on what
we covered in class. For practice, solve the Practice Exam 2 (in
the
Lecture Notes) on your own, then look at the solutions and solve
it
again. Additional good practice are problems at the end of each
chapter
in the notes. Then do the same with the Sample Midterm 2 above.
The
table for computing Phi(x), for x>0, will be provided. solutions