FACULTY OF ENGINEERING

Department of Mechatronics Engineering

FENG 345 | Course Introduction and Application Information

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 -
Course Coordinator
Course Lecturer(s)
Assistant(s) -
Course Objectives
Learning Outcomes The students who succeeded in this course;
  • Define complex mathematical models.
  • Create solutions for both linear and non-linear problems.
  • Define the process of fitting curves to the data sets.
  • Explain numerical differentials and integrals.
  • Solve differential equations using numerical techniques.
  • 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

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Related Preparation
1 MATLAB Fundamentals and Programmming with MATLAB Part-1; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 3
2 Introduction to Numerical Analysis, 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 Midterm 1
8 Curve fitting: Linear Regression, least squares method Part-4; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 14,15
9 Numerical Integration Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 19,20
10 Numerical Integration, Engineering Applications Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 19,20
11 Numerical Differentiation Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra, Chapter 21
12 Midterm 2
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.

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
2
60
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
4
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
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
16
4
64
Field Work
0
Quizzes / Studio Critiques
0
Portfolio
0
Homework / Assignments
0
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
2
22
44
Final Exam
1
38
38
    Total
210

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To have knowledge in Mathematics, science, physics knowledge based on mathematics; mathematics with multiple variables, differential equations, statistics, optimization and linear algebra; to be able to use theoretical and applied knowledge in complex engineering problems

X
2

To be able to identify, define, formulate, and solve complex mechatronics engineering problems; to be able to select and apply appropriate analysis and modeling methods for this purpose.

X
3

To be able to design a complex electromechanical system, process, device or product with sensor, actuator, control, hardware, and software to meet specific requirements under realistic constraints and conditions; to be able to apply modern design methods for this purpose.

4

To be able to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Mechatronics Engineering applications; to be able to use information technologies effectively.

5

To be able to design, conduct experiments, collect data, analyze and interpret results for investigating Mechatronics Engineering problems.

6

To be able to work effectively in Mechatronics Engineering disciplinary and multidisciplinary teams; to be able to work individually.

7

To be able to communicate effectively in Turkish, both in oral and written forms; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to present effectively, to be able to give and receive clear and comprehensible instructions.

8

To have knowledge about global and social impact of engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of engineering solutions.

9

To be aware of ethical behavior, professional and ethical responsibility; information on standards used in engineering applications.

10

To have knowledge about industrial practices such as project management, risk management and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development.

11

Using a foreign language, he collects information about Mechatronics Engineering and communicates with his colleagues. ("European Language Portfolio Global Scale", Level B1)

12

To be able to use the second foreign language at intermediate level.

13

To recognize the need for lifelong learning; to be able to access information; to be able to follow developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Mechatronics Engineering.

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

 


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