Akademik Dersler - Tanıtım


Code - Course Title	MAT2011 - Differential Equation
Course Type	Required Courses
Language of Instruction	İngilizce
Laboratory + Practice	3+1
ECTS	4.5
Course Instructor(s)	DOKTOR ÖĞRETİM ÜYESİ GÖKÇE ÇAKMAK
Mode of Delivery	Face to face.
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	Calculus 1 and 2.
Required or Recommended Resources	Shepley L. Ross, Differential Equations. Wiley & Sons, Inc., 1984., Shepley L. Ross, Introduction to Ordinary Differential Equations. Wiley & Sons, Inc., 1989. William E. Boyce, Richard C. Diprima, Elementary Differential Equations and Boundary Value Problems. John Wiley & Sons, Inc. 1997.
Recommended Reading List	Shepley L. Ross, Differential Equations. Wiley & Sons, Inc., 1984., Shepley L. Ross, Introduction to Ordinary Differential Equations. Wiley & Sons, Inc., 1989. William E. Boyce, Richard C. Diprima, Elementary Differential Equations and Boundary Value Problems. John Wiley & Sons, Inc. 1997.
Assessment methods and criteria	2 midterm and 1 final exam.
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Definitions of Differential Equations.
Week - 2	First order differential Equations, Exact Equations, Determination of Intergral factors.
Week - 3	Separation of varables, Equations with homogeneous Coefficients
Week - 4	The lineer Equation of first order Bernoulli ve Ricatti Equations
Week - 5	Applications of first-order Differential Equation
Week - 6	Higher-order Linear Differantial Equations.
Week - 7	The homogeneous differential Equations with constant coefficients.
Week - 8	The method of Undetermined Coefficiets to solve non homogeneous Equations.
Week - 9	The method of Variations of parameters to solve non homogeneous Equations.
Week - 10	The Cauchy-Euler Equations.
Week - 11	The Laplace Transform.
Week - 12	Laplace transformations (continued)
Week - 13	Laplace Transform Solution of Linear Differential Equations with Constant Coefficients.
Week - 14	Systems of Linear Differential Equations

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	25
2.Midterm Exam	1	25
Final Exam	1	50
Toplam (%)		100