University of Rhode Island Department of
Mathematics
TTh
12:30  1:45 p.m.
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 205

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, Law of Large
Numbers and Central Limit Theorem. 
Evaluation 
Homework
(15%), quizzes (15%), midterm exam (20 %), second exam (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.
The Authors of the Grinstead and Snell textbook
have prepared a set of programs to go with the book. There are Mathematica, Maple versions of these programs. You can download
the programs from this location. There are also experimental
versions of the programs as Java applets
MTH
451Intoduction to Probability and Statistics  Spring 2018


