FACULTY OF ENGINEERING

Department of Industrial Engineering

FENG 346 | Course Introduction and Application Information

Course Name
Numerical Methods for Engineers II
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
FENG 346
Spring
3
0
3
6

Prerequisites
  FENG 345 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 The course objectives are to provide the central ideas behind algorithms for the numerical solution of differentiable optimization problems by presenting key methods for both unconstrained and constrained optimization, as well as providing theoretical justification as to why they succeed. Additionally, it is aimed to teach the computational tools available to solving optimization problems on computers once a mathematical formulation has been found.
Learning Outcomes The students who succeeded in this course;
  • Solve partial differential equations using numerical methods
  • Choose the appropriate algorithms for the solution of an optimization problem based on its character (constrained, unconstrained, smooth, nonsmooth)
  • Describe the basic steps of optimization algorithms
  • Solve optimization problems using MATLAB or other commercial softwares
  • Design efficient numerical optimization algorithms for their own research problems.
Course Description

 



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 Optimization concept and historical perspective, basic concepts in optimization process Textbook 1: Chapter 1, Textbook 2: Chapter 1
2 Optimum Design Problem Formulation Textbook 1: Chapter 2
3 Graphical Solution Method and Basic Optimization Concepts Textbook 1: Chapter 3
4 Optimum Design Concepts: Optimality Conditions Textbook 1: Chapter 4
5 Optimum Design Concepts: Optimality Conditions Textbook 1: Chapter 4
6 Numerical Methods for Unconstrained Optimization Textbook 1: Chapter 10
7 Numerical methods Constrained Optimization Textbook 1: Chapter 12
8 Midterm Exam
9 Linear Programming Textbook 1: Chapter 8
10 Linear Programming Textbook 1: Chapter 8
11 Introduction to Partial Differential Equations Textbook 3: Chapter 28
12 Finite Difference Method: Simple Implicit and Explicit Finite Difference Schemes and Numerical Stability Textbook 3: Chapter 29-30
13 Finite Difference: Elliptic Equations Textbook 3: Chapter 29
14 Finite Difference: Parabolic Equations Textbook 3: Chapter 30
15 Review of the semester
16 Final

 

Course Notes/Textbooks
  1. Jasbir Singh Arora. Introduction to Optimum Design. 4th Edition, Academic Press, 2016. ISBN 978-0-12-800806-5
  2. Engineering Optimization: Theory and Practice, S. S. Rao, John Wiley and Sons Inc, ISBN 978-0-470-18352-6.
  3. Steven, C. Chapra. Numerical Methods for Engineers. Seventh Edition, McGraw-Hill, 2018. ISBN 978-0-07-339796-2
  4. John A. Trangenstein, Numerical Solution of Elliptic and Parabolic Partial Differential Equations, Cambridge University Press, 2013
  5. K. W. Morton, D. F. Mayers, Numerical Solution of Partial Differential Equations, Second Edition, Cambridge University Press, 2005
Suggested Readings/Materials

P. Venkataraman, Applied Optimization with MATLAB Programming, John Wiley & Sons, Inc., 2009, ISBN: 978-0-470-08488-5
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
6
30
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
1
30
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
7
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
3
42
Field Work
0
Quizzes / Studio Critiques
0
Portfolio
0
Homework / Assignments
6
9
54
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
16
16
Final Exam
1
20
20
    Total
180

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

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

To have adequate knowledge in Mathematics, Science and Industrial Engineering; to be able to use theoretical and applied information in these areas to model and solve Industrial Engineering problems.

2

To be able to identify, formulate and solve complex Industrial Engineering problems by using state-of-the-art methods, techniques and equipment; to be able to select and apply proper analysis and modeling methods for this purpose.

X
3

To be able to analyze a complex system, process, device or product, and to design with realistic limitations to meet the requirements using modern design techniques.

4

To be able to choose and use the required modern techniques and tools for Industrial Engineering applications; to be able to use information technologies efficiently.

X
5

To be able to design and do simulation and/or experiment, collect and analyze data and interpret the results for investigating Industrial Engineering problems and Industrial Engineering related research areas.

6

To be able to work efficiently in Industrial Engineering disciplinary and multidisciplinary 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 contemporary issues and the global and societal effects of Industrial Engineering practices on health, environment, and safety; to be aware of the legal consequences of Industrial Engineering solutions.

9

To be aware of professional and ethical responsibility; to have knowledge of the standards used in Industrial Engineering practice.

10

To have knowledge about business life practices such as project management, risk management, and change management; to be aware of entrepreneurship and innovation; to have knowledge about sustainable development.

11

To be able to collect data in the area of Industrial Engineering; to be able to communicate with colleagues in a foreign language.

12

To be able to speak a second foreign 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 Industrial Engineering.

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

 


SOCIAL MEDIA

NEWS |ALL NEWS

Izmir University of Economics
is an establishment of
izto logo
Izmir Chamber of Commerce Health and Education Foundation.
ieu logo

Sakarya Street No:156
35330 Balçova - İzmir / Turkey

kampus izmir

Follow Us

İEU © All rights reserved.