MATH 240 | Course Introduction and Application Information

Course Name
Probability for Engineers
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
MATH 240
Spring
3
0
3
6

Prerequisites
  MATH 153 To succeed (To get a grade of at least DD)
Course Language
English
Course Type
Required
Course Level
First Cycle
Course Coordinator
Course Lecturer(s)
Assistant(s)
Course Objectives This course aims to introduce students the theory of probability and its applications to engineering problems.
Course Description The students who succeeded in this course;
  • will be able to use fundamental concepts such as additon rule, conditional probability, and independence
  • will be able to use the total probability rule and Bayes' theorem
  • will be able to use discrete random variables and their distributions
  • will be able to use continuous random variables and their distributions
  • will be able to use joint probability distributions
Course Content Topics of this course include the axioms of probability, Bayes' theorem, random variables and sums of random variables, law of large numbers, the central limit theorem and its applications.

 



Course Category

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 Introduction to Probability Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.1-2.2) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 1 and 2)
2 Introduction to Probability Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.2-2.3) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapter 2)
3 Random Variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.4) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
4 Random Variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.4) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
5 Random Variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.4-2.5) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
6 Commonly used distributions Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 4.1-4.3) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
7 Commonly used distributions Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 4.1-4.3) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
8 Commonly used distributions Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 4.3-4.5) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
9 Commonly used distributions Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 4.5-4.7) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
10 Commonly used distributions Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 4.8, 4.11) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapters 3 and 4)
11 Jointly distributed random variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.6) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapter 5)
12 Jointly distributed random variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.6) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapter 5)
13 Jointly distributed random variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.6) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapter 5)
14 Jointly distributed random variables Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill. (Chapter 2.6) Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc. (Chapter 5)
15 Review
16 Review of the semester

 

Course Notes/Textbooks Statistics for Engineers and Scientists, William Navidi, 4th Ed., Mc-Graw Hill.
Suggested Readings/Materials A First Course in Probability, S. Ross, Pearson Prentice Hall. Introduction to Probability, D.P. Bertsekas, J.N. Tsitsiklis, Athena Scientific Applied Statistics and Probability for Engineers, Douglas C. Montgomery & George C. Runger, 5th Ed., John Wiley & Sons, Inc

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
4
20
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Portfolios
Midterms / Oral Exams
1
35
Final / Oral Exam
1
45
Total

Weighting of Semester Activities on the Final Grade
5
55
Weighting of End-of-Semester Activities on the Final Grade
1
45
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Course Hours
Including exam week: 16 x total hours
16
3
48
Laboratory / Application Hours
Including exam week: 16 x total hours
16
Study Hours Out of Class
16
3
Field Work
Quizzes / Studio Critiques
4
6
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Portfolios
Midterms / Oral Exams
1
20
Final / Oral Exam
1
40
    Total
180

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1 Adequate knowledge in Mathematics, Science and Software Engineering; ability to use theoretical and applied information in these areas to model and solve Software Engineering problems X
2 Ability to identify, define, formulate, and solve complex Software Engineering problems; ability to select and apply proper analysis and modeling methods for this purpose X
3 Ability to design, implement, verify, validate, measure and maintain a complex software system, process or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern methods for this purpose
4 Ability to devise, select, and use modern techniques and tools needed for Software Engineering practice X
5 Ability to design and conduct experiments, gather data, analyze and interpret results for investigating Software Engineering problems X
6 Ability to work efficiently in Software Engineering disciplinary and multi-disciplinary teams; ability to work individually
7 Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of two foreign languages
8 Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself
9 Awareness of professional and ethical responsibility
10 Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development
11 Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of Software Engineering solutions

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest