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.
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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 |