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MKC 501E
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Course Information
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 firstorder to secondorder ODEs and to present the properties of linear ODEs.
5) Extension of the concepts and theory from secondorder 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): FirstOrder ODEs, SecondOrder Linear ODEs, HigherOrder 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.
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