Course Information

Course Name	Turkish	Mühendislik Matematiği_2016
	English	Mühendislik Matematiği (Engineering Mathematics)
Course Code	UUM 535E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	3	-	-
Course Language		English
Course Coordinator		Mehmet Şahin
Course Objectives		Introduce graduate student to the applications of linear systems and complex analysis methods in engineering problems.
Course Description		Vektor ve vektor uzayları; Matris gösterimleri ve linear denklem sistemleri; Özdeğer problemleri; Spektral ayrışma; Karakteristik ve minimal polinomlar; İç çarpım uzayları ve ortogonolite; Ortogonal ve Hermityen matrisler; Hilbert uzayları; Fourier serileri ve Fourier transformları; Laplace transformları; Kompleks fonksiyonlarda limit, süreklilik ve türevlenebilirlik; Cauchy-Riemann denklemleri; Kompleks integrasyon ve Cauchy teoremi; Taylor ve Laurent serileri; Kalanlar teoremi; Konform dönüşümler ve sınır değer problemlerine uygulamaları; Vektor didderensiyel ve integral hesaplamalar; Sayısal mathematik.
Course Outcomes		M.Sc./Ph.D. students who successfully pass this course gain knowledge, skill and competency in the following subjects; 1. Able use basic vector and matrix operations 2. Able to reduce a matrix into a row-reduced echelon form 3. Able to compute eigenvalues and eigenvectors of a matrix 4. Able to apply Fourier transform to a periodic function and use Fourier transform 5. Able to use Laplace transform 6. Able to compute complex line integrals 7. Able to use complex mapping for some boundary value problems 8. Able to use Gauss divergence theorem, Stokes’ theorem, Green theorem 9. Able to apply numerical methods for engineering problems
Pre-requisite(s)
Required Facilities
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Textbook		• A. Jeffrey, Advanced Engineering Mathematics. Harcourt/Academic Press, 2002. • R. W. Brockett, Finite Dimensional Linear Systems. Wiley, 1970. • R. A. Silverman, Introductory Complex Analysis. Dover, 1972.
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