| 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 |