ELECTRIC-ELECTRONIC ENGINEERING (ENGLISH, THESIS)
Master TR-NQF-HE: Level 7 QF-EHEA: Second Cycle EQF-LLL: Level 7

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
MAT5101 Engineering Mathematics Fall 3 0 3 8
The course opens with the approval of the Department at the beginning of each semester

Basic information

Language of instruction: Tr
Type of course: Must Course
Course Level:
Mode of Delivery: Face to face
Course Coordinator : Prof. Dr. MESUT EROL SEZER
Course Lecturer(s): Dr. Öğr. Üyesi CAVİT FATİH KÜÇÜKTEZCAN
Course Objectives: To equip the student with advanced topics of vector calculus and complex calculus.

Learning Outputs

The students who have succeeded in this course;
The student will be able to understand differences and similarities of fundamental mathematical concepts as they apply to functions of a single variable or several variables, and to apply concepts of advanced calculus and complex calculus to engineering problems

Course Content

Vector differential and integral calculus, and applications. Complex calculus and applications. Fourier series and Fourier transform.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Review of single-variable calculus.
2) Functions of several variables. Partial derivatives, differentials, implicit functions, Jacobian.
3) Vector functions. Gradient, divergence, curl and Laplacian. Directional derivative.
4) Maxima and minima, Lagrange multipliers.
5) Multiple integrals. Line integrals, Green's theorem.
6) Surface integrals, the divergence theorem, Stoke's theorem.
7) Cylindrical and spherical coordinates.
8) Applications of vector calculus.
9) Functions of a complex variable. Continuity and differentiation.
10) Complex integration. Cauchy's theorem and integral formula.
11) Taylor and Laurent series. Poles and residues.
12) Conformal mapping and applications.
13) Fourier series.
14) Fourier transform.

Sources

Course Notes:
References: 1. D. Bachman, Advanced Calculus Demystified, McGraw-Hill, 2007. 2. F. J. Flanigan, Complex Variables, Dover, 1983.

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Attendance 15 % 15
Laboratory % 0
Application % 0
Field Work % 0
Special Course Internship (Work Placement) % 0
Quizzes % 0
Homework Assignments 5 % 15
Presentation % 0
Project % 0
Seminar % 0
Midterms 1 % 30
Preliminary Jury % 0
Final 1 % 40
Paper Submission % 0
Jury % 0
Bütünleme % 0
Total % 100
PERCENTAGE OF SEMESTER WORK % 60
PERCENTAGE OF FINAL WORK % 40
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Laboratory 0 0 0
Application 0 0 0
Special Course Internship (Work Placement) 0 0 0
Field Work 0 0 0
Study Hours Out of Class 14 7 98
Presentations / Seminar 0 0 0
Project 0 0 0
Homework Assignments 5 5 25
Quizzes 0 0 0
Preliminary Jury 0
Midterms 1 10 10
Paper Submission 0
Jury 0
Final 1 15 15
Total Workload 190

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) Have sufficient background and an ability to apply knowledge of mathematics, science, and engineering to identify, formulate, and solve problems of electrical and electronics engineering. 5
2) Be able to define, formulate and solve sophisticated engineering problems by choosing and applying appropriate analysis and modeling techniques and using technical symbols and drawings of electrical and electronics engineering for design, application and communication effectively. 1
3) Have an ability to design or implement an existing design of a system, component, or process to meet desired needs within realistic constraints (realistic constraints may include economic, environmental, social, political, health and safety, manufacturability, and sustainability issues depending on the nature of the specific design). 1
4) Elektrik ve elektronik mühendisliği yapabilmek ve yeni uygulamalara uyum gösterebilmek için gerekli yenilikçi ve güncel teknikler, beceriler, bilgi teknolojileri ve modern mühendislik araçlarını geliştirmek, seçmek, uyarlamak ve kullanmak. 2
5) Be able to design and conduct experiments, as well as to collect, analyze, and interpret relevant data, and use this information to improve designs.
6) Be able to function individually as well as to collaborate with others in multidisciplinary teams. 2
7) Be able to communicate effectively in English and Turkish (if he/she is a Turkish citizen). 1
8) Be able to recognize the need for, and to engage in life-long learning as well as a capacity to adapt to changes in the technological environment.
9) Have a consciousness of professional and ethical responsibilities as well as workers’ health, environment and work safety.
10) Have the knowledge of business practices such as project, risk, management and an awareness of entrepreneurship, innovativeness, and sustainable development.
11) Have the broad knowledge necessary to understand the impact of electrical and electronics engineering solutions in a global, economic, environmental, legal, and societal context.