NAMEPRACTICAL/TUTORIAL GROUP
Unit Course book
Probability
Course code:MTH205PS
Unit Coordinator
Maher J. Elias
2012/2013
Soran University
Faculty of Science
Department of Mathematics
Stage 2
Welcome to department of mathematics at Soran University. This handbook summarise all the general information you need to guide you during the second stage of your selected course. This booklet also describes in details the content of probability unit, the names of academic staff who will teach the unit, and what you will be expected to do to make sure your success in this unit. We hope you enjoy the unit and that you will find the work inspiring and challenging.
Keep in mind that good attendance at lectures and tutorials is important to give you a good basis for work throughout the course. If any students may experience difficulty with this unit, is important to sort things out as soon as possible. Make an appointment with unit coordinator who may be able to help, your year tutor, or other academic staff that involved with this unit.
Please note: you are provided with a hardcopy of teaching materials. It may be necessary to change the order of lectures, deadlines etc, which you will be informed. Therefore, it is ESSENTIAL that you check the Department of Mathematics notice board regularly in order to keep up to date with any changes.
Course Overview and Goals
This course covers techniques of counting, random experiment, events, axioms od probability, conditional probability, Baye’s theorem, random variables and their distribution functions, moments of the random variables. Finally each lecture is ended by solving numerous problems by the students and lecturer.. The class is primarily based on Chapters 1-7 of Kubais's book: “Probability (2nd Edition) (Kubais S. A. Fahady, Pirlanty J. Shamoon)”.
Learning Outcomes
After successful completion of this course, the student will Learn the following subjects:
* The basic concepts of set theory;
* The techniques of counting which are most useful in computing probability;
* Main definitions of probability, random experiments, events;
* The axioms of probability, conditional probability, Baye’s theorem and independence of events;
* Random variables and their distribution functions;
* The moment of random variables and of the function of random variables;
* Jointly distributed random variables, discrete and continues random variables.
Communications with Academic Staff
This handbook gives information on how to contact and communicate with staff. We provide room numbers and email addresses of staff to you. The staffs in this department want to help you as much as possible so that you will be successful in your programme. We also want to encourage you to take responsibility for yourselves and for your learning so it will help you in your future careers.
The email rules
* Write your email in acceptable English.
* In your emails you must include: full name, stage, department and the unit title.
* We only respond to queries from students using genuine/Soran University email accounts.
* Appointments can be arranged through the email system, if you wish.
* We respond to genuine problems and queries as soon as possible, normally within 7 days.
* We will not respond to emails which do not have a subject line.
Staff associated with the unit
Staff
Room Number
Email
Maher J. Elias
Instructors Room in Math Dep.
M_J.Elias@yahoo.com
Soran University
Department of Mathematics
Unit: Probability
Credit: 3
Method of Assessment:
Lectures: 3 hours / week
Examination and grading
ACTIVITIES PERCENTAGES Exams 40%Final exam 60%
Unit Timetable/Content
Week
Lecture Title & Content 1Basic Set Theory2Some Fundamental Theorems3Fundamental Principle of Counting4Permutations, Combinations and Binomial Expansion, Multinomial Expansion5Problem solving sessions, Exam16Random Experiment, Sample Space and Events7Kind of Probability8Probability Defined on Events, Axioms of Probability9Conditional Probability and Baye’s Theorem10Problem solving sessions, Exam211Independent Events12The Concept of Random Variable13Distribution Function, Discrete Random Variables14Bernoulli Distribution, Binomial Distribution15Problem solving sessions, Exam316Poisson Distribution17Geometric and Hypergeometric and Negative Binomial Distributions18Continuous Random Variables, Special Univariate Continuous Distribution Functions19Uniform Distribution, Exponential Distribution20Gamma and Normal Distributions21Problem solving sessions, Exam422Expectation of a Discrete Random Variables23Expectation of a Continuous Random Variables24Function of a Random Variable and its Expectation25Variance and Moments26Problem solving sessions27Final Exam
Recommended Reading
1. Kubais S. A. Fahady, Pirlanty J. Shamoon, Probability, 2ed., UM, 1999
2. Sabine, P.; Plumpton, C. : Probability, ME, London; 1985