Download Probability and Statistics

ÇAĞ UNIVERSITY
FACULTY OF ARTS AND SCIENCES
Code
Course Name
Credit
ECTS
MAT 216
Probability and Statistics
3 (3-0-0)
5
Prerequisites
Consent of the instructor
Language of Instruction
English /Turkish
Type and Level of Course
Compulsory/2. Year/Spring Semester
Lecturers
Name(s)
Course Coordinator
Prof. Dr. Fikri Akdeniz
Mode of Delivery
Lecture Hours
Face to face
Office Hours
Contacts
[email protected]
u.tr
Other lecturers
Course Objective
It is aimed to give and comprehend the role and importance of probability in the construction
and solutions of mathematical problems for real life problems and use of statistics and the
relationship between statistics and probability
Learning Outcomes of the Course
Students who have completed the course successfully should be able
to;
Relationship
Prog. Output
Net Effect
1
Define sample space, event , permutation, combination and
experiment in probability theory and calculate their probabilities
1,2,3,4
3,4,5,5
2
Comprehend random variables (Discrete and continuous) and
probability function, probability continuous function, expected
value, and variance.
1,3,4,5
4,4,5,4
3
Comprehend some special discrete and continuous distributions
(Bernoulli, Geometric, Poisson, Binomial, Normal)
1,2,3
4,4,5
4
Comprehend in doing frequency distribution tables, preparing
graphs for the frequency distributions in descriptive statistics
Comprehend in measures of central tendency
1&3
5&4
5
Comprehend in measures of variability and applications of these
measures
1&3
5&5
6
Demonstrate to be able to make comments about the results of
descriptive statistics
1&3
4&5
Course Description: It is focused on the basic subjects of statistics and probability. Probabilistic calculations, random
varibales are some of basic probability subjects. Frequency distribution tables, graphs, measures of average/location
and measures of dispersion (variability) are given. The behaviour of data is analysed and given as summary in
descriptive statistics.
Course Contents:( Weekly Lecture Plan )
Week
s
Topics
Preparation
Teaching Methods
1
Set theory, sample space, event , counting rules
Textbook Chapter 2
Lecture
2
Permutations and combinations
Textbook Chapter 3
Lecture
3
Binomial theorem , ordered/nonordered
partitions
Textbook Chapter 3
Lecture
4
Introduction to probability, Probability axioms,
probability rules,
Textbook Chapter 4
Lecture
5
Conditional probability, total probablity formula,
dependent and independent events,
Textbook Chapter 4
Lecture
6
Bayes thorem
Textbook Chapter 4
Lecture
7
Problem solving
Textbook Chapter 3 and
4
Lecture
8
Midterm exam.
9
What is random variable, distributions of
discrete and continuous random
varibles,properties of expected value and
variance
Textbook Chapter 5
Lecture
10
Distributions of some special discrete random
variables
Textbook Chapter 6
lecture
11
Normal distribution
Textbook Chapter 7
Lecture
12
Data analysis, Frequency tables, Frequency
poligone and histogram
Textbook Chapter 9
Lecture
13
Measure of central tendecy (Average, median,
mode, geometric and harmonic mean)
Textbook Chapter 9
Lecture
Textbook Chapter 9
Lecture
14
Sample variance, measures of dispersion ,
coefficient of variation
REFERENCES
Textbook : Fikri Akdeniz
Probability and Statistics,
(2014) ISBN : 978-605-464952-5.
ASSESSMENT METHODS
Activities
Number
Effect
Midterm Exam
1
40%
Effect of The Final Exam
Notes
60%
ECTS TABLE
Contents
Number
Hours
Total
Hours in Classroom
14
3
42
Hours out Classroom
14
5
70
Midterm Exam
1
15
15
Final Exam
1
25
25
Total
152
Total / 30
=152/30=5.07
ECTS Credit
5