Electrical and Electronic Engineering (English) Preview
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course Introduction and Application Information

Course Code:

MATH213

Course Name:

Numerical Methods for Engineers

Semester:

Fall

Course Credits:

ECTS

Language of instruction:

English

Course Condition:

Does the Course Require Work Experience?:

Type of course:

Compulsory Courses

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator:

Prof. Dr. ŞÜKRÜ YALÇINKAYA

Course Lecturer(s):

Assist. Prof. Dr. GÜRSAN ÇOBAN

Course Assistants:

Course Objective and Content

Course Objectives:

The course aims to teach the students the implementation of numerical methods for computer-aided solutions to problems that arise in engineering design and analysis.

Course Content:

Modeling, computers and error analysis, error accumulation, loss of precision, stability, condition number, roots of nonlinear equations, numerical solutions of linear equation systems (direct/iterative), interpolation (vandermonde, divided differences, spline), curve fitting (linear and nonlinear-regression), numerical derivative, numerical integration, numerical solutions of differential equations, overview of advanced topics in numerical analysis (additional topics)

Learning Outcomes

The students who have succeeded in this course;
1) They can perform computer coding of real numbers, function approximation (Taylor) and truncation, condition number analysis and error analysis in the basic computer environment.
2) They can solve the real roots of nonlinear functions or Linear Equation systems of equations in the form Ax=b with direct or iterative solution algorithms.
3) They can derive solver equations to calculate the unknowns of interpolation or statistical regression functions used to model a given data set.
4) They can calculate derivatives, integrals, and solution of first order differential equations numerically.
5) They can predict the convergence, stability, or order of error level of the method.

Course Flow Plan

Week	Subject	Related Preparation
1)	Fundamentals, numbers, base concept, scientific notation, programming tools	Chapra CH1, CH2 and Supplementary Slides
2)	Modeling, computers and error analysis (cutting, rounding, Taylor series)	Chapra CH3, CH4 and Supplementary Slides
3)	Numerical solutions of nonlinear equations f(x)=0	Chapra CH5, CH6 and Supplementary Slides
4)	Numerical approximations for solving systems of algebraic equations A*x=b	Chapra CH9, CH10 and Supplementary Slides
5)	Numerical approximations for solving systems of algebraic equations A*x=b	T.Sauer CH2, CHAPRA CH11 and Supplementary
6)	Interpolation and polynomial approximations 1	Supplementary Slides
7)	Interpolation and polynomial approximations 2	Supplementary Slides
8)	Interpolatıon and polynomıal approximation
9)	Curve fitting (Regression)	Chapra CH17, Supplementary Slides
10)	Numerical derivative	Chapra CH23, Supplementary Slides
11)	Numerical integration 1	Chapra CH21, Supplementary Slides
12)	Numerical Integration 2	Chapra CH22, Supplementary Slides
13)	Numerical solution of initial value problems	Chapra CH25 and Supplementary Slides
14)	Additional topics: Finite difference and boundary value problems, Computational approaches to eigenvalue and eigenvector problems of symmetric matrices	Slides

Sources

Course Notes / Textbooks:	Steven C. Chapra, Raymond P. Canale, Numerical Methods for Engineers, 7th Edition, McGraw-Hill.
References:	Timothy Sauer, Numerical Analysis, 7th Edition, Pearson. Jaan Kiusalaas, Numerical Methods in Engineering with Python 3, Cambridge Unv. Press. (For sample codes) http://nm.mathforcollege.com/NumericalMethodsTextbookUnabridged/ (onlinesource, offline content)

Course - Program Learning Outcome Relationship

Course Learning Outcomes	1	2	3	4	5
Program Outcomes
1) Has sufficient knowledge in mathematics and natural sciences.	3	2	2	2	3
2) Has sufficient knowledge in Electrical and Electronics engineering–specific subjects.
3) Has the ability to apply theoretical and practical knowledge of mathematics, natural sciences, and Electrical and Electronics engineering to solve complex engineering problems.
4) Has the ability to identify, formulate, and solve complex engineering problems, and to select and apply appropriate analysis and modeling methods for this purpose.
5) Has the ability to design complex systems, processes, devices, or products under realistic constraints and conditions to meet specific requirements, and to apply modern design methods for this purpose.
6) Has the ability to select and use modern techniques and tools required for the analysis and solution of complex engineering problems encountered in engineering practice, and to use information technologies effectively.
7) Has the ability to design and conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or Electrical and Electronics engineering–specific research topics.
8) Has the ability to work effectively in disciplinary teams.
9) Has the ability to work effectively in multidisciplinary teams.
10) Has the ability to work individually.
11) Has the ability to communicate effectively in oral and written form; has knowledge of at least one foreign language; writes effective reports, understands written reports, prepares design and production reports, makes effective presentations, and gives and receives clear and understandable instructions.
12) Has awareness of the necessity for lifelong learning; accesses information, follows developments in science and technology, and continuously renews oneself.
13) Acts in accordance with ethical principles; has knowledge of professional and ethical responsibilities and of the standards used in engineering practices.
14) Has knowledge of business practices such as project management, risk management, and change management.
15) Has awareness of entrepreneurship and innovation.
16) Has knowledge of sustainable development.
17) Has knowledge of the impacts of engineering practices on health, environment, and safety on a universal and societal scale, and awareness of contemporary issues reflected in the field of engineering.
18) Has awareness of the legal consequences of engineering solutions.

Course - Learning Outcome Relationship

No Effect	1 Lowest	2 Average	3 Highest

	Program Outcomes	Level of Contribution
1)	Has sufficient knowledge in mathematics and natural sciences.	2
2)	Has sufficient knowledge in Electrical and Electronics engineering–specific subjects.
3)	Has the ability to apply theoretical and practical knowledge of mathematics, natural sciences, and Electrical and Electronics engineering to solve complex engineering problems.
4)	Has the ability to identify, formulate, and solve complex engineering problems, and to select and apply appropriate analysis and modeling methods for this purpose.
5)	Has the ability to design complex systems, processes, devices, or products under realistic constraints and conditions to meet specific requirements, and to apply modern design methods for this purpose.
6)	Has the ability to select and use modern techniques and tools required for the analysis and solution of complex engineering problems encountered in engineering practice, and to use information technologies effectively.
7)	Has the ability to design and conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or Electrical and Electronics engineering–specific research topics.
8)	Has the ability to work effectively in disciplinary teams.
9)	Has the ability to work effectively in multidisciplinary teams.
10)	Has the ability to work individually.
11)	Has the ability to communicate effectively in oral and written form; has knowledge of at least one foreign language; writes effective reports, understands written reports, prepares design and production reports, makes effective presentations, and gives and receives clear and understandable instructions.
12)	Has awareness of the necessity for lifelong learning; accesses information, follows developments in science and technology, and continuously renews oneself.
13)	Acts in accordance with ethical principles; has knowledge of professional and ethical responsibilities and of the standards used in engineering practices.
14)	Has knowledge of business practices such as project management, risk management, and change management.
15)	Has awareness of entrepreneurship and innovation.
16)	Has knowledge of sustainable development.
17)	Has knowledge of the impacts of engineering practices on health, environment, and safety on a universal and societal scale, and awareness of contemporary issues reflected in the field of engineering.
18)	Has awareness of the legal consequences of engineering solutions.

Assessment & Grading

Değerlendirme Yöntemleri ve Kriterleri	Number of Activities	Level of Contribution
Midterms	1	% 40
Final	1	% 60
total		% 100

Workload and ECTS Credit Calculation

Activities	Number of Activities	Preparation for the Activity	Spent for the Activity Itself	Completing the Activity Requirements	Workload
Course Hours	13	0	2		26
Application	13	0	2		26
Study Hours Out of Class	13	0	2		26
Midterms	1	13	2		15
Final	1	23	2		25
Total Workload					118