Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
PROFESSIONALS MATHEMATICS EBO 210 4 3 + 0 3 3
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Doç.Dr. CÜNEYT BAYILMIŞ Dersi Verenler Dersin Yardımcıları Res.Asst. Sezgin KAÇAR Dersin Kategorisi Dersin Amacı Giving students an understanding of Laplace transform for the solution of linear systems and application of the Laplace transform in the computer environment using Matlab. Providing basic operations of matrices, graphics plots and Fourier series applications. Dersin İçeriği Laplace and inverse Laplace transform. Obtaining the differential equations of linear electrical circuits and their solutions using Laplace transform. Laplace transforms techniques for the solution of linear systems. Arrays and matrices definitions and their basic operations, saving and loading variables in Matlab. Creating m-file and plotting basic graphics. Algebraic equations definitions and their solutions in Matlab. Solutions of differential equations in time and frequency domains. Periodic functions, trigonometric series, Fourier series and Euler formulas. Example applications with Matlab.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - Describe the properties of Laplace and inverse Laplace transform 1 - 2 - 4 - 5 - 15 - A - B - C - 2 - Use Laplace transforms techniques for the solution of linear systems 1 - 2 - 4 - 5 - 15 - A - B - C - 3 - Explain basic Matlab functions. 1 - 2 - 4 - 5 - 9 - 15 - A - B - C - 4 - Solve Matrix operations and interpret graphics plots 1 - 2 - 4 - 5 - 15 - A - B - C - 5 - Apply methods of the solutions of algebraic equations, differential equations and symbolic equations 1 - 2 - 4 - 5 - 15 - A - B - C - 6 - Explain the properties of Fourier series, Fourier integrals and Fourier transform 1 - 2 - 4 - 5 - 15 - A - B - C -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 4:Drilland Practice 5:Demonstration 15:Problem Solving 9:Simulation Ölçme Yöntemleri: A:Testing B:Oral Exam C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Introduction, Laplace transform, inverse Laplace transform, linearity, Laplace transform of derivatives and integrals.
2 Laplace transforms solution of a differential equation, partial fraction expansion, roots of the denominator. Examples.
3 Solving differential equations of linear electrical circuits, applications of Laplace transformations
4 Introduction to Matlab: the Desktop, Command Window, Workspace and help. Assignment and manipulation of workspace variables.
7 Matrix operations, (sum, subtraction, multiplying with constant, inverse,...).
8 Basic graphics plots (copy, save and print).
9 M-file programming for simple operations.
10 Midterm exam
11 Defining algebraic equations and solutions.
12 Solution of differential equations in the time and frequency domains. Symbolic techniques. Example problems and solutions.
13 Periodic functions, trigonometric series, Fourier series, Euler formulas
14 Fast Fourier Transform (FFT), normalization and Matlab applications.

#### Kaynaklar

Ders Notu 1. İlyas Çankaya, Devrim Akgün, Matlab ile Meslek Matematiği, Seçkin Yayıncılık San. ve Tic. A.Ş., Ekim-2008.
Ders Kaynakları 1. Fethi Çallıalp, Çözümlü Lineer Cebir Problemleri, Birsen Yayınevi, 2000.
2. Mehmet Bakioğlu, Sayısal Analiz, Birsen Yayınevi, 2004.
3. Neşe Dernek ve Ahmet Denek, Diferansiyel Denklemler, Birsen Yayınevi, 2004.
4. Uğur Arifoğlu ve Cemalettin Kubat, Matlab ve Mühendislik Uygulamaları, Alfa Basım Yayım Dağıtım Ltd. Şti., 2003.
5. Benjamin C. Kuo, Otomatik Kontrol Sistemleri, Çeviren ve Uyarlayan Atilla Bir, Literatür Yayıncılık, 1999.
6. Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, 1993.
7. Anthony Croft, Robert Davison, Martin Hargreaves, Engineering Mathematics A Modern Foundation for Electronic, Electrical and Control Engineers, Addison Wesley Publishing Company, 1992.
8. Norman S. Nise, Control Systems Engineering, Second Edition, The Benjamin / Cummings Publishing Company, 1995.
9. Adrian Biran, Moshe Breiner, Matlab for Engineers, Addison Wesley Publishers, 1995.
10. A.J. Okyere, Matlab Fundamentals: Electronics and Circuit Analysis Using MATLAB, CC Press, 1999.
11. J.T. Manassah, Elementary Mathematical and Computational Tools for Electrical and Computer Engineers Using MATLAB, CRC Press, 2001.
12. Robert H. Bishop, Modern Control Systems Analysis and Design Using MATLAB, Addison Wesley Publishing Company, 1993.
13. Katsuhiko Ogata, Solving Control Engineering Problems With MATLAB, Prentice Hall, 1994.

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 To have latest knowledge and skills intended for research and practice in electronic technology X
2 To have latest knowledge and skills intended for research and practice in electronic technology X
3 To utilize equipments and instruments used in electronic technology X
4 To utilize equipments and instruments used in electronic technology X
5 To develop curriculum related to electronic technology and have a skill to transfer those accumulation by oral and written way X
6 To develop curriculum related to electronic technology and have a skill to transfer those accumulation by oral and written way X
7 To have knowledge and skills for planning, designing and managing procedures independently or in cooperation X
8 To have an open mind to ethic auditing and positive criticism, and have a constructive and interpreting attitude against scientific and social problems X
9 To have an open mind to ethic auditing and positive criticism, and have a constructive and interpreting attitude against scientific and social problems X
10 To disseminate and realize the environmental awareness X
11 To disseminate and realize the environmental awareness X
12 To cooperate with social organizations and the society X
13 To cooperate with social organizations and the society X
14 To contribute to the education of people who work under his/her responsibility and to manage some activities for their vocational careers and social rights X
15 To appropriate self learning and life- long learning principles X
16 To appropriate self learning and life- long learning principles X
17 To congregate in national or international scale to see individual applications on the premises and to perform some activities and mobility for professional advancement in electronic technology X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 70
KisaSinav 1 10
Odev 1 10
KisaSinav 2 10
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 1 16
Mid-terms 1 5 5
Quiz 2 2 4
Assignment 1 2 2
Performance Task (Laboratory) 1 5 5
Final examination 1 7 7
Toplam İş Yükü 87
Toplam İş Yükü /25(s) 3.48
Dersin AKTS Kredisi 3.48
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