FACULTY OF ENGINEERING

Department of Mechanical Engineering

ME 415 | Course Introduction and Application Information

Course Name
Numerical Methods in Mechanical Engineering
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
ME 415
Fall/Spring
2
2
3
5

Prerequisites
None
Course Language
English
Course Type
Elective
Course Level
First Cycle
Mode of Delivery -
Teaching Methods and Techniques of the Course Problem Solving
Application: Experiment / Laboratory / Workshop
Lecture / Presentation
Course Coordinator
Course Lecturer(s)
Assistant(s) -
Course Objectives The aim of this course is to comprehend the basic concepts of numerical methods that can be applied to engineering problems related to static, dynamic, thermodynamics, fluid mechanics and heat transfer and to gain / develop computer programming skills.
Learning Outcomes The students who succeeded in this course;
  • define numerical methods used in mechanical engineering.
  • calculate rounding errors and numerical derating
  • model engineering problems using numerical methods.
  • distinguish the results obtained by numerical methods.
  • use a programming language.
Course Description Introduction to numerical methods will be explained. Root finding and solution systems of linear equations will be shown. Curve fitting, numerical integral, numerical derivative, solution of ordinary differential equations will be used with problems.

 



Course Category

Core Courses
Major Area Courses
X
Supportive Courses
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Related Preparation
1 Introduction to programming in MatLAB S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 3.
2 Round-off errors, roots of polynomials S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 4, Chapter 6.6
3 Linear set of algebraic equations S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 8, 10
4 Application of linear set of algerbraic equations to mechanics problems S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 8, 10
5 Non-linear set of algebraic equations S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 6
6 Applications of non-linear set of algebraic equations to mechanism problems S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 6.2
7 Optimization S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 7
8 Curve fitting S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 14
9 Engineering applications of curve fitting S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 14
10 Midterm Exam
11 Numerical integration S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 19, 20
12 Numerical differentiation S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 21
13 Solutions of set of linear differential equations S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 22.4
14 Engineering applications of linear set of differential equations S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 22
15 Non-linear set of differential equations S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists: Chapter 22.4
16 General review problems - Final exam

 

Course Notes/Textbooks

S.C.Chapra, Applied Numerical Methods with MatLAB for Engineers and Scientists, 4th Edition, McGraw Hill, 2017. ISBN 978-0073397962

Suggested Readings/Materials

S.C.Chapra and R.P.Canale, Numerical Methods for Engineers, 6th Edition, McGraw Hill, 2010. ISBN 978–0–07–340106–5

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
5
25
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
1
30
Final Exam
1
45
Total

Weighting of Semester Activities on the Final Grade
6
55
Weighting of End-of-Semester Activities on the Final Grade
1
45
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
14
2
28
Field Work
0
Quizzes / Studio Critiques
0
Portfolio
0
Homework / Assignments
5
4
20
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
14
14
Final Exam
1
24
24
    Total
150

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
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.

X
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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