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 |
|
|||||||
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 | ||||||||
Course Lecturer(s) | ||||||||
Assistant(s) |
Course Objectives | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Learning Outcomes |
|
|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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. |
|
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
|
||||
1
|
2
|
3
|
4
|
5
|
|||
1 |
To have adequate knowledge in Mathematics, Mathematics based physics, statistics and linear algebra and Mechanical Engineering; to be able to use theoretical and applied information in these areas on complex engineering problems. |
X
|
-
|
-
|
-
|
-
|
|
2 |
To be able to identify, define, formulate, and solve complex Mechanical Engineering problems; to be able to select and apply proper analysis and modeling methods for this purpose. |
-
|
-
|
X
|
-
|
-
|
|
3 |
To be able to design a thermal and mechanical system, process, device or product under realistic constraints and conditions, in such a way as to meet the requirements; to be able to apply modern design methods for this purpose. |
-
|
-
|
-
|
-
|
-
|
|
4 |
To be able to devise, select, and use modern techniques and tools needed for analysis and solution of complex problems in engineering applications. |
-
|
-
|
-
|
-
|
-
|
|
5 |
To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or Mechanical Engineering research topics. |
-
|
-
|
-
|
-
|
-
|
|
6 |
To be able to work efficiently in Mechanical Engineering disciplinary and multi-disciplinary teams; to be able to work individually. |
-
|
-
|
-
|
-
|
-
|
|
7 |
To be able to communicate effectively in Turkish, both orally and in writing; 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; to have knowledge about standards utilized 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 |
To be able to collect data in the area of Mechanical Engineering, and to be able to communicate with colleagues in a foreign language. |
-
|
-
|
-
|
-
|
-
|
|
12 |
To be able to speak a second foreign language at a medium level of fluency efficiently. |
-
|
-
|
-
|
-
|
-
|
|
13 |
To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Mechanical Engineering. |
-
|
-
|
-
|
-
|
-
|
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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