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Language of Instruction
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English
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Level of Course Unit
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Master's Degree
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Department / Program
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ADVANCED MATERIALS AND NANOTECHNOLOGY
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Type of Program
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Formal Education
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Type of Course Unit
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Elective
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Course Delivery Method
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Face To Face
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Objectives of the Course
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The course aims to provide the basic concepts and properties of mathematical modeling, differential equations, and partial differential equations. It will cover defining separable ODEs, exact ODEs, integrating factors, Bernoulli equation, power series method, Frobenius method, Legendre and Bessel equations, Laplace Transform of derivatives and integrals, convolution, and integral equations. Additionally, the course will focus on defining linear systems, Gauss elimination, eigenvalues and eigenvectors, orthogonal matrices, and solving linear systems. The course will also include solution methods using separation of variables, Fourier series, and solving wave, heat, and Laplace equations in polar, cylindrical, and spherical coordinates.
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Course Content
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This course provides fundamental knowledge and skills for advanced engineering mathematics; including mathematical model, differential equations, existence and uniqueness of solutions for IVPs, power series method, Frobenius method, Laplace transform method, matrices, vectors, determinants, linear systems, partial differential equations. Fourier series.
wave, heat, Laplace equations, Dirichlet problems, Polar, cylindrical and spherical coordinates.
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Course Methods and Techniques
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Prerequisites and co-requisities
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None
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Course Coordinator
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Associate Prof. Abdülkadir Doğan
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Name of Lecturers
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Associate Prof.Dr. ABDÜLKADİR DOĞAN
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Assistants
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None
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Work Placement(s)
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No
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Recommended or Required Reading
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Resources
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Course Notes
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The course notes will be shared.
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Course Category
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Mathematics and Basic Sciences
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%100
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