Akademik Dersler - Tanıtım


Code - Course Title	MAT517 - Applied Mathematics
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	7.5
Course Instructor(s)
Mode of Delivery	The mode of delivery of this course is Face to face
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	none.
Recommended Reading List
Assessment methods and criteria	1 midterm and 1 final written exams.
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Matrices
Week - 2	Linear systems of equations
Week - 3	Rank of a matrix. Linear independence. Vector spaces
Week - 4	Solutions of linear systems. Determinants
Week - 5	Inverse of a matrix. Gauss-Jordan elimination.Vector spaces, inner product spaces, linear transformations
Week - 6	Eigenvaluesand eigenvectors.
Week - 7	Some applications of eigenvalue problems.
Week - 8	First-order differantial equations: seperable differantial equations, exact differantial equations. Integrating factor. Bernoulli equation
Week - 9	Orthogonal trajectories of curves. Existence and uniqueness of solutions. Picard iteration
Week - 10	Homogeneous linear equations of second order. Second order homogeneous equations with constant coefficients
Week - 11	Differential operators. Euler-Cauchy equation
Week - 12	Wronskian. Nonhomogeneous equations. Solution by undetermined coefficientds. Solution by variation of parameters.
Week - 13	Higher order linear differential equations. Higher order homogeneous equations with constant coefficients. Higher order nonhomogeneous equations
Week - 14	Systems of differential equations, phase plane, qualitive methods

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
Toplam (%)		0