Industrial Engineering
Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Ders Genel Tanıtım Bilgileri

Course Code: FEC209
Ders İsmi: Mühendislik Matematiği
Ders Yarıyılı: Fall
Ders Kredileri:
Theoretical Practical Laboratory ECTS
3 0 0 3
Language of instruction: Turkish
Ders Koşulu:
Ders İş Deneyimini Gerektiriyor mu?: No
Type of course: Required
Course Level:
Bachelor TR-NQF-HE:6. Master`s Degree QF-EHEA:First Cycle EQF-LLL:6. Master`s Degree
Mode of Delivery: Face to face
Course Coordinator : Asst. Prof. Dr. MELİSA RAHEBİ
Course Lecturer(s):

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives: The general aim of the course is to give students the basics of engineering mathematics. Students attending this course will learn Laplace Transforms and Inverse Laplace Transforms, gradient, divergence and curl, analysis of divergence applications; complex analysis and complex integration;.
Course Content: Laplace Transforms and Inverse Laplace Transforms, Gradient, Divergence, Curl, Stokes and Guass divergence Theorems, Double and Triple integrals, Complex numbers analysis and Complex numbers integration.

Learning Outcomes

The students who have succeeded in this course;
Learning Outcomes
1 - Knowledge
Theoretical - Conceptual
1) Analyzing gradient, divergence and rotation applications
2) Ability to calculate Laplace Transforms and Inverse Laplace Transforms
3) Ability to calculate the transformation of spherical and cylindrical coordinate systems
2 - Skills
Cognitive - Practical
1) Ability to calculate area and volume for triple integrals
2) Analyze approaches to complex numbers and complex integration
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
Competence to Work Independently and Take Responsibility

Ders Akış Planı

Week Subject Related Preparation
1) Complex Numbers Analysis Course Introduction and Resources
2) Laplace Transforms 1 Topic review
3) Laplace Transforms 2 Topic review
4) Inverse Laplace Transforms 1 Topic review
5) Inverse Laplace Transforms 2 Topic review
6) coordinate systems and transformation Topic review
7) Gradient, Divergence and Rotational Operations 1 Topic review
8) midterm exam
9) Gradient, Divergence and Rotational Operations 2 Topic review
10) double integrals Topic review
11) Triple Integrals and Gauss Divergence Theorems 1 Topic review
12) Triple Integrals and Gauss Divergence Theorems 2 Topic review
13) Complex Integral Calculation 1 Topic review
14) Complex Integral Calculation 2 Topic review
15) Final

Sources

Course Notes / Textbooks:
References: 1. Erwin Kreyszig, Advanced Engineering Mathematics, 10th Edition, Wiley, 2015.

2. F. B. Hildebrand, Advanced Calculus for Applications, 2nd Edition, Prentice-Hall, 1976

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları

1

2

3

4

5
Program Outcomes
1) Adequate knowledge in the fields of mathematics and science; ability to use theoretical and practical knowledge in these fields.
2) Adequate knowledge in subjects specific to the relevant engineering discipline; ability to use theoretical and applied knowledge in these areas to solve complex engineering problems.
3) Ability to identify, formulate and solve complex engineering problems.
4) Ability to select and apply appropriate analysis and modeling methods to complex engineering problems.
5) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements.
6) Ability to apply modern design methods to design a complex system, process, device or product.
7) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice.
8) Ability to use information technologies effectively to analyze and solve complex problems encountered in engineering applications.
9) Ability to design and conduct experiments to investigate complex engineering problems or discipline-specific research topics.
10) Ability to collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics.
11) Ability to work effectively in disciplinary teams.
12) Ability to work effectively in multidisciplinary teams.
13) Individual working skills.
14) Ability to communicate effectively both orally and in writing.
15) Knowledge of at least one foreign language.
16) Effective report writing and comprehension of written reports, ability to prepare design and production reports.
17) Ability to make effective presentations, give and receive clear and understandable instructions.
18) Awareness of the necessity of lifelong learning.
19) Ability to access information, to follow developments in science and technology and to continuously renew oneself.
20) Knowledge about acting in accordance with ethical principles, professional and ethical responsibility and standards used in engineering practices.
21) Knowledge of business practices such as project management, risk management and change management.
22) Awareness about entrepreneurship and innovation.
23) Knowledge about sustainable development.
24) Knowledge about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems of the era reflected in the field of engineering.
25) Awareness of the legal implications of engineering solutions.

Ders - Öğrenme Kazanımı İlişkisi

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) Adequate knowledge in the fields of mathematics and science; ability to use theoretical and practical knowledge in these fields. 5
2) Adequate knowledge in subjects specific to the relevant engineering discipline; ability to use theoretical and applied knowledge in these areas to solve complex engineering problems. 4
3) Ability to identify, formulate and solve complex engineering problems. 5
4) Ability to select and apply appropriate analysis and modeling methods to complex engineering problems. 4
5) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements.
6) Ability to apply modern design methods to design a complex system, process, device or product.
7) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice.
8) Ability to use information technologies effectively to analyze and solve complex problems encountered in engineering applications.
9) Ability to design and conduct experiments to investigate complex engineering problems or discipline-specific research topics.
10) Ability to collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics.
11) Ability to work effectively in disciplinary teams.
12) Ability to work effectively in multidisciplinary teams.
13) Individual working skills.
14) Ability to communicate effectively both orally and in writing.
15) Knowledge of at least one foreign language.
16) Effective report writing and comprehension of written reports, ability to prepare design and production reports.
17) Ability to make effective presentations, give and receive clear and understandable instructions.
18) Awareness of the necessity of lifelong learning.
19) Ability to access information, to follow developments in science and technology and to continuously renew oneself.
20) Knowledge about acting in accordance with ethical principles, professional and ethical responsibility and standards used in engineering practices.
21) Knowledge of business practices such as project management, risk management and change management.
22) Awareness about entrepreneurship and innovation.
23) Knowledge about sustainable development.
24) Knowledge about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems of the era reflected in the field of engineering.
25) Awareness of the legal implications of engineering solutions.

Assessment & Grading

Semester Requirements Number of Activities Level of Contribution
Midterms 1 % 50
Final 1 % 50
total % 100
PERCENTAGE OF SEMESTER WORK % 50
PERCENTAGE OF FINAL WORK % 50
total % 100