FACULTY OF ARTS AND SCIENCES
Department of Physics
MATH 203 | Course Introduction and Application Information
Course Name |
Introduction to Probability Theory I
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
MATH 203
|
Fall/Spring
|
2
|
2
|
3
|
6
|
Prerequisites |
None
|
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Course Language |
English
|
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Course Type |
Service Course
|
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Course Level |
First Cycle
|
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Mode of Delivery | - | |||||
Teaching Methods and Techniques of the Course | Problem SolvingLecture / Presentation | |||||
Course Coordinator | - | |||||
Course Lecturer(s) | ||||||
Assistant(s) |
Course Objectives | This course aims to consider basic theory and applications of probability theory including probability axioms, distribution functions, conditional probability, total probability and Bayes formula, random variables, distributions of discrete and continuous random variables and their expectations, hazard rate, and mean residual life functions. |
Learning Outcomes |
The students who succeeded in this course;
|
Course Description | This course aims to provide basic theory and applications of Probability Theory. |
|
Core Courses | |
Major Area Courses | ||
Supportive Courses | ||
Media and Management Skills Courses | ||
Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
Week | Subjects | Related Preparation |
1 | Sample space | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772.Chapter 1 |
2 | Classical probability | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772.Chapter 1 |
3 | Axioms of probability | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772.Chapter 2 |
4 | Properties of probability | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772.Chapter 4 |
5 | Conditional probability and independence of events | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772. Chapter 3 |
6 | Total probability formula and Bayes' formula | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772. Chapter 3 |
7 | Random variables and properties of distribution functions, types of random variables, some discrete random variables | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772. Chapter 4 |
8 | Midterm | |
9 | Some continuous random variables | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772. Chapter 5 |
10 | Expected value | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772.Chapter 4 |
11 | Expectation of a function of a random variable | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772.Chapters 4 & 5 |
12 | Variance | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772.Chapters 4 & 5 |
13 | Hazard rate functions | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772.5 Chapter 5 |
14 | The wellknown distribution functions, mean residual life function | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772.Chapters 4 & 5 |
15 | Semester review | |
16 | Final exam |
Course Notes/Textbooks | Sheldon Ross,''A First Course in Probability'' 9th edition,Pearson,2012. ISBN-13: 978-0321794772. |
Suggested Readings/Materials | Ronald Walpole, Raymond Myers, Sharon Myer. “Probability and Statistics for Engineers and Scientists”, Publisher:Pearson; 9 edition,2010.ISBN-13: 978-0321629111 |
EVALUATION SYSTEM
Semester Activities | Number | Weigthing |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques |
1
|
10
|
Portfolio | ||
Homework / Assignments | ||
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exams | ||
Midterm |
1
|
40
|
Final Exam |
1
|
50
|
Total |
Weighting of Semester Activities on the Final Grade |
2
|
50
|
Weighting of End-of-Semester Activities on the Final Grade |
1
|
50
|
Total |
ECTS / WORKLOAD TABLE
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
2
|
32
|
Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
2
|
32
|
Study Hours Out of Class |
14
|
3
|
42
|
Field Work |
0
|
||
Quizzes / Studio Critiques |
1
|
15
|
15
|
Portfolio |
0
|
||
Homework / Assignments |
0
|
||
Presentation / Jury |
0
|
||
Project |
0
|
||
Seminar / Workshop |
0
|
||
Oral Exam |
0
|
||
Midterms |
1
|
25
|
25
|
Final Exam |
1
|
34
|
34
|
Total |
180
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
1
|
2
|
3
|
4
|
5
|
||
1 | To be able master and use fundamental phenomenological and applied physical laws and applications, |
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2 | To be able to identify the problems, analyze them and produce solutions based on scientific method, |
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3 | To be able to collect necessary knowledge, able to model and self-improve in almost any area where physics is applicable and able to criticize and reestablish his/her developed models and solutions, |
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4 | To be able to communicate his/her theoretical and technical knowledge both in detail to the experts and in a simple and understandable manner to the non-experts comfortably, |
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5 | To be familiar with software used in area of physics extensively and able to actively use at least one of the advanced level programs in European Computer Usage License, |
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6 | To be able to develop and apply projects in accordance with sensitivities of society and behave according to societies, scientific and ethical values in every stage of the project that he/she is part in, |
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7 | To be able to evaluate every all stages effectively bestowed with universal knowledge and consciousness and has the necessary consciousness in the subject of quality governance, |
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8 | To be able to master abstract ideas, to be able to connect with concreate events and carry out solutions, devising experiments and collecting data, to be able to analyze and comment the results, |
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9 | To be able to refresh his/her gained knowledge and capabilities lifelong, have the consciousness to learn in his/her whole life, |
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10 | To be able to conduct a study both solo and in a group, to be effective actively in every all stages of independent study, join in decision making stage, able to plan and conduct using time effectively. |
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11 | To be able to collect data in the areas of Physics and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1). |
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12 | To be able to speak a second foreign at a medium level of fluency efficiently |
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13 | To be able to relate the knowledge accumulated throughout the human history to their field of expertise. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
NEWS |ALL NEWS
Four major awards in 5 years
Prof. Dr. Göktuğ Karpat, Faculty Member at Department of Physics, Faculty of Arts and Science, Izmir University of Economics (IUE) has been
The Physics Department Erasmus Agreement
Dear Students of the Physics Department at Izmir University of Economics, We are pleased to share with you an exciting announcement! Our university
Loved physics, gave up her childhood dream
Senem Özdemir, who has been dreaming of becoming a pilot since childhood, graduated as the top student in the Department of Physics
Scientific visit to the Department of Physics
Dr. Parisa Majari came to visit our Physics Department. Dr. Majari who studied with Prof. Dr. Gürsoy Bozkurt Akgüç gave a seminar
Ambassador of 'goodness'
Berfin Kolcu, a student of Izmir University of Economics (IUE) Department of Physics, went to Hatay, where thousands of people were under
our student physics project at the finals
NEBULA rocket team, a branch of physics club established by our students is now at the finals after succesfully passing critical design