| Learning Outcomes |
PO |
MME |
| The students who succeeded in this course: |
|
|
| LO-1 |
Learns complex numbers, complex functions and complex integral theorems |
PO-1 Mathematics, science and engineering information to gain the practical skills. PO-9 To adapt to innovation and emerging technologies, continuous self-renewal, and improve the ability of researchers.
|
Examination |
| LO-2 |
Be able to solve first order ordinary differential equations and fixed coefficient second order differential equations and can see their application in electrical engineering |
PO-1 Mathematics, science and engineering information to gain the practical skills. PO-4 Individual and/or in groups to gain the ability to work.
|
Examination |
| LO-3 |
Knows the definition properties of Laplace transform and Laplace transforms of various functions |
PO-1 Mathematics, science and engineering information to gain the practical skills. PO-11 The techniques required for engineering applications, methods and improve the ability to use modern tools.
|
Examination |
| LO-4 |
Knows partial differential equations and their applications |
PO-1 Mathematics, science and engineering information to gain the practical skills. PO-4 Individual and/or in groups to gain the ability to work.
|
Examination |
PO: Programme Outcomes MME:Method of measurement & Evaluation |
| Course Contents |
| Complex Numbers,Complex Functions,Complex Integrals,Residual Theory,Conformal Mapping,Fourier Series,Fourier Transformation,
First order ordinary differential equations and applications,Applications of second order differential equations with constant coefficients,High-order linear differential equations and their applications,Solution of linear differential equations in terms of power series,Laplace transformation and its properties,Inverse Laplace transformation and some applications,Partial differential equations and their applications.
|
| Weekly Course Content |
| Week |
Subject |
Learning Activities and Teaching Methods |
| 1 |
Complex Numbers. |
Lecture, question and answer, discussion |
| 2 |
Complex Functions. |
Lecture, question and answer, discussion |
| 3 |
Complex Integrals. |
Lecture, question and answer, discussion |
| 4 |
Residual Theory. |
Lecture, question and answer, discussion |
| 5 |
Residual Theory Applications |
Lecture, question and answer, discussion |
| 6 |
Integral Calculations Using Residual Method |
Lecture, question and answer, discussion |
| 7 |
Conformal Mapping. |
Lecture, question and answer, discussion |
| 8 |
mid-term exam |
|
| 9 |
First order ordinary differential equations and applications.. |
Lecture, question and answer, discussion |
| 10 |
Applications of second order differential equations with constant coefficients. |
Lecture, question and answer, discussion |
| 11 |
High-order linear differential equations and their applications. |
Lecture, question and answer, discussion |
| 12 |
Laplace transformation and its properties. Fourier Series and Fourier Transformation. |
Lecture, question and answer, discussion |
| 13 |
Laplace transformation and its properties. Fourier Series and Fourier Transformation. |
Lecture, question and answer, discussion |
| 14 |
Inverse Laplace transformation and some applications. |
Lecture, question and answer, discussion |
| 15 |
Linear Differential Equation Systems |
Lecture, question and answer, discussion |
| 16 |
final exam |
|
| Recommend Course Book / Supplementary Book/Reading |
| 1 |
Fen ve Mühendislik Bilimlerinde Matematik Yöntemler, Selçuk Ş. BAYIN, ODTU Yayını, 2008. |
| 2 |
Mathematics for Electrical Engineering and Computing, Mary ATTENBOROUGH, Newnes, 2003, Understanding Engineering Mathematics, Bill COX, Newnes, 2001. |
| Required Course instruments and materials |
| Course book, laptop computer |