ENERGY SYSTEMS ENGINEERING
Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
MAT3026 Probability and Statistics Spring 3 0 3 6

Basic information

Language of instruction: English
Type of course: Must Course
Course Level: Bachelor’s Degree (First Cycle)
Mode of Delivery: Face to face
Course Coordinator : Instructor NERMINE AHMED EL SISSI
Course Lecturer(s): Dr. Öğr. Üyesi MÜRÜVVET ASLI AYDIN
Recommended Optional Program Components: None
Course Objectives: Topics in probability and statistics are introduced through their definitions leading to the development of basic probabilistic and statistical tools. Emphasis is placed on using these tools to solve engineering problems and to make informed decisions.

Learning Outcomes

The students who have succeeded in this course;
1) Calculate probability using permutations and combinations
2) Calculate probability of unions and intersects
3) Determine the reliability block diagram of a system of elements
4) Understand the conditional probability an apply on probability problems
5) Calculate probability using probability distribution functions
6) Calculate expectation values
7) Apply hypothesis testing
8) Determine confidence intervals

Course Content

The course will cover the following topics:
Counting and probability (both theoretical and experimental definitions);
Rules of probability (based on set theory); conditional probability;
The random variable; probability mass functions and density functions;
Expectation values; sampling theory (mean and standard deviation); hypothesis testing;
Confidence intervals (for the population mean, population standard deviation).

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Introduction to the course.
2) Counting and probability.
3) Rules of Probability (sets, additive rules, independence), the Reliability Block Diagram.
4) Conditional probability (independence, Bayes' theory).
5) The random variable, and probability distributions (discrete and continuous) \ review.
6) Expectation values: the population mean.
7) Expectation values: the population standard deviation.
8) Special discrete distributions (Geometric, Hypergeometric, Binomial, Poisson).
9) Special continuous distributions (Exponential, Weibull, Normal).
10) Sampling (the sampled mean and standard deviation, and their distributions) \ review.
11) Hypothesis testing (p-values for the mean and standard deviation, t- and chi-square-distributions).
12) Confidence intervals I - intervals for the mean, pairing, standard error in the sample mean.
13) Confidence intervals II - intervals for the mean (two population)
14) Confidence intervals III - intervals for the standard deviation.

Sources

Course Notes / Textbooks: Walpole, Ronald E., et al. "Probability & Statistics for Engineers & Scientists", Prentice Hall, 9th ed.
References: Douglas C. Montgomery & George C. Runger. "Applied Statistics and Probability for Engineers”; (2011) Wiley.
Devore, Jay.; "Probability & Statistics for Engineering and the Sciences". CengageBrain.com.

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Midterms 2 % 60
Final 1 % 40
Total % 100
PERCENTAGE OF SEMESTER WORK % 60
PERCENTAGE OF FINAL WORK % 40
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Study Hours Out of Class 14 7 98
Midterms 1 2 2
Final 1 2 2
Total Workload 144

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) Build up a body of knowledge in mathematics, science and Energy Systems Engineering subjects; use theoretical and applied information in these areas to model and solve complex engineering problems. 4
2) Ability to identify, formulate, and solve complex Energy Systems Engineering problems; select and apply proper modeling and analysis methods for this purpose. 3
3) Ability to design complex Energy systems, processes, devices or products under realistic constraints and conditions, in such a way as to meet the desired result; apply modern design methods for this purpose. 2
4) Ability to devise, select, and use modern techniques and tools needed for solving complex problems in Energy Systems Engineering practice; employ information technologies effectively.
5) Ability to design and conduct numerical or pysical experiments, collect data, analyze and interpret results for investigating the complex problems specific to Energy Systems Engineering. 4
6) Ability to cooperate efficiently in intra-disciplinary and multi-disciplinary teams; and show self-reliance when working on Energy Systems-related problems
7) Ability to communicate effectively in English and Turkish (if he/she is a Turkish citizen), both orally and in writing. Write and understand reports, prepare design and production reports, deliver effective presentations, give and receive clear and understandable instructions.
8) Recognize the need for life-long learning; show ability to access information, to follow developments in science and technology, and to continuously educate oneself.
9) Develop an awareness of professional and ethical responsibility, and behave accordingly. Be informed about the standards used in Energy Systems Engineering applications.
10) Learn about business life practices such as project management, risk management, and change management; develop an awareness of entrepreneurship, innovation, and sustainable development. 1
11) Acquire knowledge about the effects of practices of Energys Systems Engineering on health, environment, security in universal and social scope, and the contemporary problems of Energys Systems engineering; is aware of the legal consequences of Energys Systems engineering solutions.