GRADUATE SCHOOL
Mechanical Engineering Master's Program with Thesis (English)
ME 524 | Course Introduction and Application Information
| Course Name |
Analytical Methods in Engineering
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
ME 524
|
Fall/Spring
|
3
|
0
|
3
|
7.5
|
| Prerequisites |
None
|
|||||
| Course Language |
English
|
|||||
| Course Type |
Elective
|
|||||
| Course Level |
Second Cycle
|
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| Mode of Delivery | - | |||||
| Teaching Methods and Techniques of the Course | Problem SolvingLecture / Presentation | |||||
| Course Coordinator | ||||||
| Course Lecturer(s) | ||||||
| Assistant(s) | ||||||
| Course Objectives | The aim of this course is to ensure that the students will learn advanced mathematical methods for solving mechanical engineering problems. Ordinary differential equations and partial differential equations will be studied. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | This course will cover ordinary differential equations, partial differential equations, and solution methods with engineering problems. |
|
|
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 | First Order Ordinary Differential Equations | Chapter 1 Advanced Engineering Mathematics, 10th Edition Erwin Kreyszig |
| 2 | Second Order Linear Ordinary Differential Equations | E.Kreyszig-Chapter 2 |
| 3 | Higher Order Linear Differential Equations | E.Kreyszig-Chapter 3 |
| 4 | Systems of Ordinary Differential Equations | E.Kreyszig-Chapter 4 |
| 5 | Series Solutions of Ordinary Differential Equations | E.Kreyszig-Chapter 5 |
| 6 | Laplace Transforms | E.Kreyszig-Chapter 6 |
| 7 | Laplace Transforms | E.Kreyszig-Chapter 6 |
| 8 | Midterm examination | |
| 9 | Fourier Series | E.Kreyszig-Chapter 11 |
| 10 | Partial Differential Equations | E.Kreyszig-Chapter 12 |
| 11 | Partial Differential Equations | E.Kreyszig-Chapter 12 |
| 12 | Complex Numbers and Functions | E.Kreyszig-Chapter 13 |
| 13 | Power Series-Taylor Series | E.Kreyszig-Chapter 15 |
| 14 | Numerical Analysis | E.Kreyszig-Chapter 19 |
| 15 | Review of the term | |
| 16 | Final examination |
| Course Notes/Textbooks | Advanced Engineering Mathematics, 10th Edition Erwin Kreyszig, ISBN: 978-1-119-45592-9 July 2020 1280 Pages |
| Suggested Readings/Materials | W.E. Boyce and R.C. DiPrima, 'Elementary Differential Equations and Boundary Value Problems', Wiley,7th Ed.,2001. Dennis G.Zill, Warren S.Wright, ”Advanced Engineering Mathematics”, Jones&Barlett learning 5th Ed. 2012 |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments |
3
|
30
|
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
1
|
30
|
| 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
|
3
|
48
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
| Study Hours Out of Class |
14
|
5
|
70
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
0
|
||
| Portfolio |
0
|
||
| Homework / Assignments |
3
|
8
|
24
|
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
33
|
33
|
| Final Exam |
1
|
50
|
50
|
| Total |
225
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest