Probability II

Dublin City University

Course Description

Course Name

Probability II
Host University

Dublin City University
Location

Dublin, Ireland
Area of Study

Mathematics
Language Level

Taught In English
Course Level Recommendations

Lower

ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

Hours & Credits

ECTS Credits

7.5

Recommended U.S. Semester Credits

3

Recommended U.S. Quarter Units

5

Overview

Description
This module aims to introduce the students to the main techniques used when dealing with several random variables. To develop the students ability to solve problems of a probabilistic nature. To motivate and explain many of the notions of convergence of sequences of random variables. To prove some of the main limit theorems. To discuss random walks. Students will attend lectures on the course material and will work, independently, to solve problems on topics related to the course material. The students will have an opportunity to review their solutions, with guidance, at weekly tutorials.

Learning Outcomes
1. express probabilities in terms of multible integrals and be able to evaluate such integrals
2. state selected definitions and theorems
3. solve problems that require the use of either one, several or infinitely many random variables
4. demonstrate an understanding of concepts by use of examples or counterexamples
5. explain arguments used to prove selected theorems