Advanced Electronics and Communication Technology (English) with thesis | |||||
Master | TR-NQF-HE: Level 7 | QF-EHEA: Second Cycle | EQF-LLL: Level 7 |
Course Code: | EEE521 | ||||||||
Course Name: | Advanced Topics in Engineering Mathematics | ||||||||
Course Semester: | Fall | ||||||||
Course Credits: |
|
||||||||
Language of instruction: | EN | ||||||||
Course Requisites: | |||||||||
Does the Course Require Work Experience?: | No | ||||||||
Type of course: | Compulsory | ||||||||
Course Level: |
|
||||||||
Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Assoc. Prof. ÖMER CİHAN KIVANÇ | ||||||||
Course Lecturer(s): |
Prof. Dr. SEZGİN SEZER |
||||||||
Course Assistants: |
Course Objectives: | The objective of this course is to give basic and advanced Mathematic information. |
Course Content: | Calculation of differential and integration of vectors: Vector algebra , gradient, divergent, curl, line integral, Green’s Theorem , The Divergence theorem, Stokes’s theorem. Linear Vector Spaces: Linear Vector Space, Linear operators, vector space of finite dimension, matrix algebra, similarity transforms, eigenvectors and eigenfunctions of matrix, Orthogonal functions: Functions space, orthogonal polynomials, Legendre polynomials, spherical harmonics, Hermite polynomials, Laguerre polynomials, Bessel functions. Complex Functions: Complex numbers, complex functions, derivative of complex functions, concept of analytical function, Conditions of Cauchy-Riemann, Complex integral, Cauchy theorem,Formulas of Cauchy integral, series of complex functions, Laurent series, Residue theorem and its applications. Multiple functions and Riemann surfaces. Differential equations: Series method , power series method, Frobenius’s method, Legendre’s equation, Bessel’s equation, Hermite ‘s equation, Systems of Linear equations. |
The students who have succeeded in this course;
|
Week | Subject | Related Preparation |
1) | Calculation of differential and integration of vectors: Vector algebra , gradient, divergent, curl, line integral, Green’s Theorem | Course Notes |
2) | The Divergence theorem, Stokes’s theorem., | Course Notes |
3) | Linear Vector Spaces: Linear Vector Space, Linear operators, vector space of finite dimension, matrix algebra | Course Notes |
4) | Similarity transforms, eigenvectors and eigenfunctions of matrix | Course Notes |
5) | Orthogonal functions: Functions space, orthogonal polynomials, Legendre polynomials | Course Notes |
6) | Spherical harmonics, Hermite polynomials, Laguerre polynomials, Bessel functions | Course Notes |
7) | Complex Functions: Complex numbers, complex functions, derivative of complex functions | Course Notes |
8) | Concept of analytical function, Conditions of Cauchy-Riemann, Complex integral, Cauchy theorem | Course Notes |
9) | Formulas of Cauchy integral, series of complex functions, Laurent series | Course Notes |
10) | Residue theorem and its applications | Course Notes |
11) | Multiple functions and Riemann surfaces | Course Notes |
12) | Differential equations: Series method , power series method | Course Notes |
13) | Frobenius’s method, Legendre’s equation | Course Notes |
14) | Application | Course Notes |
Course Notes / Textbooks: | Higher Engineering Mathematics 44th Edition |
References: | Higher Engineering Mathematics 44th Edition |
Learning Outcomes | 1 |
2 |
3 |
||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Program Outcomes | |||||||||||
1) By carrying out scientific research in their field, graduates evaluate and interpret deeply and broadly, their findings and apply their findings. | |||||||||||
2) Graduates have extensive knowledge about current techniques and methods applied in engineering and their limitations. | |||||||||||
3) Graduates can complet and implement knowledge using scientific methods using limited or incomplete data; can use the information of different disciplines together. | |||||||||||
4) Graduates are aware of new and evolving practices of their profession, examinining new knowledge and learning as necessary | |||||||||||
5) Graduates can define and formulate problems related to the field, develop methods to solve them and apply innovative methods in solutions. | |||||||||||
6) Graduates develop new and/or original ideas and methods; design complex systems or processes and develop innovative / alternative solutions in their designs. | |||||||||||
7) Graduates design and apply theoretical, experimental and model-based research; analyze and investigate the complex problems encountered in this process. | |||||||||||
8) Lead in multidisciplinary teams, develop solution approaches in complex situations, work independently and take responsibility. | |||||||||||
9) A foreign language communicates verbally and in writing using at least the European Language Portfolio B2 General Level. | |||||||||||
10) Transfers the processes and outcomes of their work in a systematic and explicit manner, either written or verbally, in the national or international contexts of that area. | |||||||||||
11) Recognize the social, environmental, health, safety, legal aspects of engineering applications, as well as project management and business life practices, and are aware of the limitations they place on engineering applications. | |||||||||||
12) Consider social, scientific and ethical values in the collection, interpretation, announcement of data and in all professional activities. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | By carrying out scientific research in their field, graduates evaluate and interpret deeply and broadly, their findings and apply their findings. | |
2) | Graduates have extensive knowledge about current techniques and methods applied in engineering and their limitations. | |
3) | Graduates can complet and implement knowledge using scientific methods using limited or incomplete data; can use the information of different disciplines together. | |
4) | Graduates are aware of new and evolving practices of their profession, examinining new knowledge and learning as necessary | |
5) | Graduates can define and formulate problems related to the field, develop methods to solve them and apply innovative methods in solutions. | |
6) | Graduates develop new and/or original ideas and methods; design complex systems or processes and develop innovative / alternative solutions in their designs. | |
7) | Graduates design and apply theoretical, experimental and model-based research; analyze and investigate the complex problems encountered in this process. | |
8) | Lead in multidisciplinary teams, develop solution approaches in complex situations, work independently and take responsibility. | |
9) | A foreign language communicates verbally and in writing using at least the European Language Portfolio B2 General Level. | |
10) | Transfers the processes and outcomes of their work in a systematic and explicit manner, either written or verbally, in the national or international contexts of that area. | |
11) | Recognize the social, environmental, health, safety, legal aspects of engineering applications, as well as project management and business life practices, and are aware of the limitations they place on engineering applications. | |
12) | Consider social, scientific and ethical values in the collection, interpretation, announcement of data and in all professional activities. |
Lesson | |
Project preparation |
Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing) | |
Individual Project |
Semester Requirements | Number of Activities | Level of Contribution |
Project | 1 | % 50 |
Final | 1 | % 50 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 50 | |
PERCENTAGE OF FINAL WORK | % 50 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 14 | 3 | 42 |
Project | 1 | 175 | 175 |
Final | 1 | 80 | 80 |
Total Workload | 297 |