University of Rhode Island Department of
Mathematics
MTWTh
8  10
Instructor: Dr. M.
Kulenovic, Lippitt 202D, 8744436, mkulenovic@ uri.edu 
Text: H. PishroNik: Introduction to Probability, Statistics
and Random Processes, Kappa
Research 2016 
Prerequisites: MTH 243 or equivalent 
Calculators: A graphing calculator is
required 
Office Hours: TWTh
1112 Room: Lippitt 201

Text 
H. PishroNik: Introduction to
Probability, Statistics and Random Processes Online
version of the book: https://www.probabilitycourse.com/ Additional Texts:(Excellent sources of solved problems) Grinstead and Snell, Introduction to Probability (available for free download from: http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/book.html
Robert Ash Basic Probability Theory, Dover (available for free download from: http://www.math.uiuc.edu/~rash/BPT.html Professor A.J. Hildebrand’s collection of solved problems: https://faculty.math.illinois.edu/~hildebr/461/

Topics 
Combinatorial
Methods, Probability, Random Variables, Generating Functions, Probability
Distributions and Probability Densities, Mathematical Expectation, Special
Probability Distributions, Functions of Random Variables, Inequalities, Law
of Large Numbers, Central Limit Theorem. 
Evaluation 
Homework
(15%), quizzes (15%), exam 1(20 %), exam 2(20 %); a comprehensive final exam (30
%) 
About
the Course 
MTH
451 is an introduction to the mathematical theory of probability using calculus.
Probability theory has a tremendous range of applications in all the
sciences, including the social sciences, business and economics, and provides
the mathematical foundation for statistics. It uses a wide variety of
mathematical techniques and concepts, especially elementary set theory,
combinatorics and calculus. A main goal of this course is that you will be
able to read more advanced material on probability and its applications and
go on to courses in mathematical statistics and stochastic processes. The
class is designed for an audience with quite diverse interests such as an
engineering, science, economics or business major. It is great preparation
for the first actuarial exam. The probability will be a basic part of your
mathematical toolkit; if you are a secondary math education major, you will
most likely need to take the Praxis content exam, which contains material on
discrete mathematics and probability for which this course is great
preparation; if you are interested in taking the actuarial exams, this course
is absolutely fundamental. Probability theory is a fundamental discipline in
mathematics itself as well as the foundation for all of statistics. In
addition, the study of Probability Theory can be entertaining, enlightening
and sometimes surprising. 
Mathematica
Notebooks (developed by Professor Kulenovic and available in
Sakai site of the course):
Sakai There will be practice problems and solved problems in Sakai site of the course.
How to get help
I may help you
with questions, just stop by my office.
Special Accommodations
Students who need
special accommodations and who have documentation from Disability Services
(8742098) should make arrangements with Dr. Kulenovic as soon as possible.
MTH
451Intoduction to Probability and Statistics  Summer 2018


