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 Course Name Turkish Mühendislik Matematiği English Engineering Mathematics Course Code MKC 501E Credit Lecture (hour/week) Recitation (hour/week) Laboratory (hour/week) Semester 2 3 3 - - Course Language English Course Coordinator Hacı Abdullah Taşdemir Course Objectives 1) Provide graduate students with the advanced analytical methods that will form the basis for their research areas. 2) A sound understanding of linear algebra and systems of linear equations. 3) To give a feel what an ODE is and what is meant by solving it. 4) To extend the concepts from first-order to second-order ODEs and to present the properties of linear ODEs. 5) Extension of the concepts and theory from second-order to higher order ODEs. 6) Solving systems of ODE’s. 7) Solving linear ODEs by using series solutions techniques. 8) An introduction to important special functions and their use in the solution of engineering problems. 9) To introduce the Laplace transform method for solving linear ODEs and corresponding initial value problems. 10) Theory and applications of Fourier analysis methods. 11) To give a feel to solve important Partial Differential Equations (PDEs) Course Description Course Description: Linear Algebra: Matrices, Vectors, Determinants, Linear Systems, Matrix Eigenvalue Problems. Ordinary Differential Equations (ODEs): First-Order ODEs, Second-Order Linear ODEs, Higher-Order Linear ODEs, Systems of ODE’s, Series Solutions of ODEs. Special functions. Laplace Transforms. Fourier analysis: Series, Integrals, and Transforms. Partial Differential Equations (PDEs). Course Outcomes Outcomes: 1) Understanding the basics of linear algebra, solutions of linear systems of equations and eigenvalue problems. 2) Ability to solve first, second and nth order ODEs. Ability to solve systems of ODE’s. 3) Ability to perform series solution methods in the solution of ODEs. 4) Understanding the applications of various special functions in engineering problems. 5) Application of Laplace transforms in the solution of linear ODEs and initial value problems. 6) A sound understanding of Fourier analysis in terms of Fourier series, transforms and integrals and their applications. 7) Being familiar with the most widely used PDEs and their solutions. Pre-requisite(s) Required Facilities Other Textbook Other References 