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Course Information

Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
MATHEMATICAL METHODS AND APPLICATIONS	MAT4405		0 + 0	3.0	6.0

Prerequisites

None

Language of Instruction	Turkish
Course Level	Graduate Degree
Course Type	Compulsory
Mode of delivery
Course Coordinator
Instructors
Assistants
Goals	This lecture deals with work problems, mass, centre of mass, moment of inertia and Fourier series that are frequently used in mathematics, physics and engineering.
Course Content	Force fields and work done by a force field, conservative fields, potential function, calculation of mass, calculation of centre of mass, Guldin Theorems, calculation of moment of intertia, piecewise continuous functions, even and odd functions, periodic functions, orthogonal and orthonormal function systems, Fourier series, Fourier series for even and odd functions, complex form of Fourier series, some special functions defined by means of integral, Leibnitz kuralı, Gamma function, Beta function.
Learning Outcomes	1) Learns the concept of force field and calculates the work done in this field. 2) Explains the concept of the conservative field and potential function. 3) Calculates mass, center of gravity and moment of inertia and gives Guldin theorems. 4) Gives detailed information about piecewise continuous function, even and odd function, periodic function, orthogonal and orthonormal systems. 5) Obtains the expansions of the Fourier series, the complex Fourier series and the expansions of the Fourier series for even and odd functions. 6) Expresses the functions defined by the help of integral and the Leibnitz rule. 7) Learns Gamma and Beta functions.