University of Rhode Island Department of
Mathematics
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Instructor: Dr. M. Kulenovic,
Lippitt 202D, 874-4436, mkulenovic@ uri.edu |
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Text: H. Pishro-Nik: Introduction
to Probability, Statistics and Random Processes, Kappa Research 2016 |
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Prerequisites: MTH 243 or equivalent |
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Calculators: A graphing calculator is required |
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Office Hours: By appointment |
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Text |
H. Pishro-Nik: Introduction to Probability,
Statistics and Random Processes We will cover Chapter 1-7 of the textbook. 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/~r-ash/BPT.html |
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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. |
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Evaluation |
Mathematica
assignments (20%), Quizzes (15%), 2 Exams (20% each), Final Exam (25%) |
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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. |
Brightspace Help
To access Brightspace go to https://brightspace.uri.edu.
The Brightspace resource
page can be found at https://web.uri.edu/brightspace/.
Getting Started
This is a fully
online course. We will use Brightspace as our virtual classroom.
After
you log into Brightspace, click on the link to our section.
Then click on Content,
followed by Start
Here. In there you will find the introductory content for this course
(including this
syllabus!), and a video introducing you to the course and explaining how
to navigate it in the
weeks ahead.
Disability
Americans
With Disabilities Act Statement Any personal learning accommodations that may
be needed by a student covered by the Americans with Disabilities Act must be made
known to the university as soon as possible. This is the student's
responsibility. Information about services, academic modifications and
documentation requirements can be obtained from the Office of Affirmative
Action, Equal Opportunity and Diversity (AAEOD).
https://web.uri.edu/affirmativeaction/
Any student with a
documented disability is welcome to contact me early in the
semester so that we
may work out reasonable accommodations to support your success
in this course.
Students should also contact Disability Services for Students, Office of
Student Life, 330
Memorial Union, 401-874-2098.
From the University
Manual: 6.40.10 and 6.40.11 Accommodations for Qualified Stu-
dents With
Disabilities. Students are expected to notify faculty at the onset of the
semester if any
special considerations are required in the classroom. If any special con-
siderations are
required for examinations, it is expected the student will notify the faculty
a week before the
examination with the appropriate paperwork.
Brightspace modules and dynamics of learning:
1.
Book:
There is free online version of the publisher’s textbook.
2.
Lectures: This module
contains the videos of all sections in the book. They must be watched first.
They are clearly labeled as m451Lec.1.1, m451Lec.2.3 etc.
3.
Quizzes: This module
contains some solved quizzes from previous semesters, which will be clearly
labeled like m451f2018Q1.pdf and some practice quizzes labeled like m451f2020Q1Pr.pdf
and some solved quizzes labeled like m451f2020Q1Sol.pdf. As soon as you are
done with the theory from Lectures module you should look at these quizzes.
4.
Exams: This module
contains some solved exams from previous semesters as well as some practice
exams prepared for this course.
5.
Mathematica: This module
contains Mathematica Notebooks that will be used in Lectures module as
well in module on Mathematica Lectures. We will have some Mathematica assignments in this course.
6.
Mathematica Lectures: This
module contains video lectures on Mathematica
Notebooks from Mathematica module.
7.
Solutions: This module
contains solved quizzes and exams from this course.
The
proposed dynamics of learning in this course: First listen to video lectures from
Lectures module in order given in the above table. Then take
look at the Mathematica
Lecture and check corresponding Mathematica notebook. Then go to Quizzes and/or Exams
and see corresponding solved problems. Then try to solve problems from Practice
quizzes and/or exams. After that you might try to solve some of the suggested
homework problems. We will have 4 Mathematica assignments.
MTH
451Intoduction to Probability and Statistics Fall 2020
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