|
PROBABILITY AND STATISTICS
|
| Course Name |
Code |
Regular Semester |
ECTS Credits |
Credits |
Lecture |
3
|
| Application |
2
|
|
Probability and Statistics
|
0252062
|
4
|
5
|
3
|
Laboratory (Hour/Week) |
-
|
|
| Course Language |
Turkish
|
| Compulsory or Elective |
Compulsory
|
| Equipment |
Board, Overhead Projector, Projector, Notebook, CD
|
| Instructor |
Department of Mathematics
|
| Course Contents |
Definition of Statistics/ Kinds of Statistics/ The fields where statistics is used/ Variables/ Graphics and Frequency Distribution/ The arrangement and the collection of data/ Means/ The variation Measurements/ Probability Theory: Conditional probability/ Multiplication Rule/ Dependent and independent Events/ Bayes Rule Random variable/ Probability Function/ Distribution Function/ Expected value/ Variance and standard deviation/ Continuous random variable/ Non-continuous distributions/ Continuous distributions
|
| Course Objectives |
-
To gain the general mathematical background
-
To organize the procedures which are made systematically or naturally
-
To evaluate and arrange and collect the data which are obtained via observation or experimental
-
To understand the relation between mathematics in Engineering and the social science
-
To improve the team work
|
Course Outcomes
(The knowledge and the skills that the student will gain at the end of the course) |
-
The skill of collecting the data in modelling
-
The knowledge for the arrangement and evaluation of data collection
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To make the required arrangements and to take measures in respect to the statistical results.
-
The skill of the adaptation when the basis information is given
-
The skill of joining the team work
-
The skill of solution to the problem using the theorical and statistical techniques.
|
| Textbook |
-
İ. Sezginman, Olasılık Teori ve Problemleri, Eğitim Yayınları,İst,1995.
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F.K.Gülçür,İstatistik Araştırma Metodları, İÜ fen Fak.Yayını,1973
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Ö.Serper,Uygulamalı İstatistik 1-2,Filiz Kitapevi,İst,1993
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Lecture Notes
|
| Additional References |
-
J.S.Milton,J.C.Arnould,İntroduction to Probability and Statistics,McGraw-Hill,1995
-
Süeda Moralı,İştatistik Teorisine Giriş, TC İTÜKütüphanesi,1973
-
Bener, A.Matematiksel İstatistik,İst,1992.
|
|
| Prerequisite Courses |
-
|
| Prerequisite Subjects |
Enough knowledge the fundamental mathematics, Enough knowledge the compute programming languages, the knowledge of derivate and integral
|
| Homework/Project |
To provide learning of lecture in the term by giving problems as homework about the topics which are given
|
| Laboratory |
-
|
| Computer Applications |
The homework, application and the theorical topics will be supported by using internet and computer
|
| Additional Practices |
Investigation of publication and making research in the library, Data-Show
|
|
| Course Evaluation Criteria |
|
Number |
Effective Proportion % |
| Midterm Exams |
2
|
40
|
| Quiz |
-
|
-
|
| Homework |
5
|
10
|
| Term Projects |
-
|
-
|
| Term Papers |
1
|
10
|
| Laboratory |
-
|
-
|
| Other |
-
|
-
|
| Final Exam |
1
|
40
|
|
| Division of Course Credit (%) |
Basic Sciences |
-
% |
| Basic Engineering and Departmental Core Courses |
-
% |
| Departmental Core Courses |
100
% |
| Social Sciences |
-
% |
|
|
| WEEKLY COURSE PLAN |
| Week |
Subject |
| 1 |
Definition of statistics, Kinds of Statistics, the fields where statistics is used, Continuous distributions
|
| 2 |
Variables, Graphs and Frequency Distribution
|
| 3 |
The arrangement and the collection of data
|
| 4 |
Means: sensitive and insensitive means
|
| 5 |
The variation Measurements
|
| 6 |
Probability Theory : the statistical definition and the fundamental concepts: the postulation of Probability, Space of Probability
|
| 7 |
Conditional probability, Multiplication Rule, dependent and independent Events, Bayes Rule and applications
|
| 8 |
1st Midterm exam
|
| 9 |
Random variable, Probability Function, Distribution Function, Expected value, variance and standart deviation, continuous random variable
|
| 10 |
Non-continuous distributions: uniform, Bernoulli
|
| 11 |
Non-continuous distributions :Binomial, Poisson, Hipergeometric distributions
|
| 12 |
Continuous distributions : Uniform and Cauchy non- distributions
|
| 13 |
2nd Midterm exam
|
| 14 |
Continuous distributions :Normal, Exponential, Gamma and Application
|
| 15 |
Continuous distributions :Normal, Exponential, Gamma and Application
|
|
|
| Prepared by |
Department of Mathematics
|
Date |
01.01.2007
|
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