Course Information

Course Name	Turkish	Mühendislik Matematiği 2018
	English	Mühendislik Matematiği (Engineering Mathematics)
Course Code	UUM 535E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	-	-	-
Course Language		English
Course Coordinator		Bayram Çelik Mehmet Şahin
Course Objectives		Introduce graduate student to the applications of linear systems and complex analysis methods in engineering problems.
Course Description		Vectors and vectors spaces; Matris representation and system of linear equations; Eigenvalue problems; Spectral decomposition; Characteristic and minimal polynomials; Inner product spaces and orthogonality; Orthogonal and Hermitian matrices; Hilbert spaces; Fourier series and transform; Laplace transform; Limit, continuity and differentiability of functions of a complex variable; Cauchy-Riemann equations; Complex integration and Cauchy’s theorem; Taylor and Laurent series; Residue theorem; Complex mapping and its application to boundary value problems; Vector differential and integral calculus; Numerical mathematics.
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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