FENG 345 | Course Introduction and Application Information - Department of Software Engineering

Course Name

Numerical Methods for Engineers I

Code	Semester	Theory (hour/week)	Application/Lab (hour/week)	Local Credits	ECTS
FENG 345	Fall	2	2	3	7

Prerequisites

MATH 154 To attend the classes (To enrol for the course and get a grade other than NA or W)

Course Language

English

Course Type

Required

Course Level

First Cycle

Mode of Delivery

-

Teaching Methods and Techniques of the Course

-

National Occupation Classification

-

Course Coordinator

Dr. Öğr. Üyesi Osman Nuri ŞAHİN

Course Lecturer(s)

Assistant(s)

Course Objectives

Learning Outcomes

#	Content	PC Sub	* Contribution Level
#	Content	PC Sub	1	2	3	4	5
1	Define complex mathematical models.
2	Create solutions for both linear and non-linear problems.
3	Define the process of fitting curves to the data sets.
4	Explain numerical differentials and integrals.
5	Solve differential equations using numerical techniques.
6	Discuss the applications of numerical analysis techniques in Engineering.

Course Description

Solutions of system of linear equations, iterative methods, interpolation, cubic splines, numerical differentiation, numerical integration, numerical solution of nonlinear equations, initial value problems, numerical solution of ordinary differential equations, finite difference method, engineering application problems.

Course Category	Core Courses
	Major Area Courses
	Supportive Courses
	Media and Management Skills Courses
	Transferable Skill Courses

Week	Subjects	Related Preparation	Learning Outcome
1	MATLAB Fundamentals and Introduction to Numerical Analysis, Programmming with MATLAB	Part-1; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 3
2	Introduction to Differetial Equation: Euler Method, Error Analysis	Part-1; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 1,4
3	Nonlinear Algebraic Equations-Polynomials, Bisection Method	Part-2; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 5
4	Nonlinear Algebraic Equations-Polynomials, Newton-Raphson Method	Part-2; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 6
5	Linear Algebraic Equations, Gauss Elimination Method	Part-3; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 8,9
6	Linear Algebraic Equations and Curve Fitting	Part-3; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 8,9,14
7	Curve fitting: Linear Regression, least squares method	Part-4; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 14,15
8	Midterm
9	Curve Fitting; Interpolation (lineer and quadratic interpolation)	Part-4; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 17
10	Numerical Integration	Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 19,20
11	Numerical Integration	Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 19,20
12	Numerical Differentiation	Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 21
13	Approximate solutions of differential equations	Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 22
14	Engineering Applications of Differential Equations	Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 22
15	Course Review
16	Final Exam

Course Notes/Textbooks

Steven, C. Chapra. Applied Numerical Methods with MATLAB for Engineers and Scientists. Fourth Edition, McGraw-Hill, 2018.

ISBN 978-0-07-339796-2

Suggested Readings/Materials

Numerical Analysis by Timothy Sauer, 2006, Pearson;

Numerical Methods for Engineers and Scientists: An Introduction with Applications using MATLAB by Gilat and Subramaniam, Wiley.

Semester Activities	Number	Weigthing	LO 1	LO 2	LO 3	LO 4	LO 5	LO 6
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques	4	30
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm	1	30
Final Exam	1	40
Total

Weighting of Semester Activities on the Final Grade	5	60
Weighting of End-of-Semester Activities on the Final Grade	1	40
Total

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	16	4	64
Field Work			0
Quizzes / Studio Critiques	4	5	20
Portfolio			0
Homework / Assignments			0
Presentation / Jury			0
Project			0
Seminar / Workshop			0
Oral Exam			0
Midterms	1	24	24
Final Exam	1	38	38
		Total	210

#	PC Sub	Program Competencies/Outcomes	* Contribution Level
#	PC Sub	Program Competencies/Outcomes	1	2	3	4	5
1	Engineering Knowledge: Knowledge of mathematics, science, basic engineering, computer computation, and topics specific to related engineering disciplines; the ability to use this knowledge in solving complex engineering problems		X	-	-	-	-
	1	Mathematics	-	-	-	-	-
	2	Science	-	-	-	-	-
	3	Basic engineering	-	-	-	-	-
	4	Computer computation	-	-	-	-	-
	5	Topics specific to related engineering disciplines	-	-	-	-	-
	6	The ability to use this knowledge in solving complex engineering problems	-	-	-	-	-
2	Problem Analysis: The ability to define, formulate, and analyze complex engineering problems by using fundamental science, mathematics, and engineering knowledge, while considering the relevant UN Sustainable Development Goals (SDGs) related to the problem.		-	-	X	-	-
3	Engineering Design: The ability to design creative solutions to complex engineering problems; the ability to design complex systems, processes, devices, or products that meet present and future requirements, considering realistic constraints and conditions.		-	-	-	-	-
	1	The ability to design creative solutions to complex engineering problems	-	-	-	-	-
	2	Considering realistic constraints and conditions in designing complex systems, processes, devices, or products	-	-	-	-	-
	3	The ability to design in a way that meets current and future requirements	-	-	-	-	-
4	Use of Techniques and Tools: The ability to select and use appropriate techniques, resources, and modern engineering and information technology tools, including prediction and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations		-	-	-	-	-
5	Research and Investigation: The ability to use research methods, including literature review, designing experiments, conducting experiments, collecting data, analyzing and interpreting results, for the investigation of complex engineering problems.		-	-	-	-	-
	1	The ability to use research methods, including literature review	-	-	-	-	-
	2	Designing experiments	-	-	-	-	-
	3	Conducting experiments, collecting data, analyzing and interpreting results, for the investigation of complex engineering problems	-	-	-	-	-
6	Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, the economy, sustainability, and the environment within the scope of the UN Sustainable Development Goals (SDGs); awareness of the legal consequences of engineering solutions		-	-	-	-	-
	1	Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, the economy, sustainability, and the environment within the scope of the UN Sustainable Development Goals (SDGs)	-	-	-	-	-
	2	Awareness of the legal consequences of engineering solutions	-	-	-	-	-
7	Ethical Behavior: Acting in accordance with the principles of the engineering profession; knowledge of ethical responsibility; awareness of acting impartially and inclusively, without discrimination in any matter. (FENG101)		-	-	-	-	-
	1	Acting in accordance with the principles of the engineering profession; knowledge of ethical responsibility	-	-	-	-	-
	2	Awareness of acting impartially and inclusively, without discrimination in any matter.	-	-	-	-	-
8	Individual and Team Work: The ability to work effectively as an individual and as a member or leader of both intra-disciplinary and interdisciplinary teams (whether face-to-face, remote, or hybrid).		-	-	-	-	-
9	Verbal and Written Communication: Taking into account the various differences of the target audience (such as education, language, profession), particularly in technical matters.		-	-	-	-	-
	1	Verbal (ENGxxx)	-	-	-	-	-
	2	Written effective communication skills. (ENGxxx)	-	-	-	-	-
10	Project Management: Knowledge of business practices such as project management and economic feasibility analysis; awareness of entrepreneurship and innovation.		-	-	-	-	-
	1	Knowledge of business practices such as project management and economic feasibility analysis; (FENG497-FENG498)	-	-	-	-	-
	2	Awareness of entrepreneurship and innovation. (FENG101)	-	-	-	-	-
11	Lifelong Learning: The ability to learn independently and continuously, adapt to new and emerging technologies, and think critically about technological changes.		-	-	-	-	-

FENG 345 | Course Introduction and Application Information

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