The main educational resource for MA3160 is the following webpage: UConn Undergraduate Probability OER.
No book is required and the course will mostly be based on the lecture notes posted here.
There will be two midterm exams (in class) and a final exam whose dates will be communicated later.
There will be weekly homework assignments (not graded). Each Thursday, at the end of the class, there will be a 15 minutes quiz consisting of one or two of the homework problems picked randomly.
The final grade will be made of 20% first midterm, 20% second midterm, 20% quiz and 40% final exam.
The following topics will be covered.
- Introduction: What is probability theory and why do we care ?
- Sets
- Combinatorics
- The probability set-up
- Independence
- Conditional probability
- Random variables
- Some discrete distributions
- Continuous distributions
- Normal distribution
- Normal approximation
- Some continuous distributions
- Multivariate distributions
- Expectations
- Moment generating functions
- Limit laws