Education Information System

Course Title	Code	Semester	L+U Hour	Credits	ECTS
Differential Equations	MEM234	4. Semester	3 + 0	3.0	5.0

Prerequisites

None

Language of Instruction	Turkish
Course Level	Undergraduate
Course Type
Mode of delivery	Face to face
Course Coordinator	Assoc. Prof. Dr. Tuba TUNÇ
Instructors
Assistants
Goals	The aim of this course is to remind / acquire the basic knowledge of mathematics that a student may need in master's courses and to make connections between mathematics and engineering problems with appropriate examples.
Course Content	Introduction, the classification of differential equations, application examples at engineering, 1st degree differential equations, seperable equations, whole differential equations, integral multplier, graphical methods, existence and unity concepts at solutions, linear dependance and independance, characteristic equation, high degree differential equations, homogenic equations, superposition equation, applications, Euler formula, nonhomegenic equations, method of undetermined coefficients, method of changing parameters, degrading, constant coefficient equations, linear differential eqautions systems, fundamental matrixes and linear systems, nonhomogenic linear systems, finding solutions with Laplace transformations, applications to initial value problems, convulution, Fourier series, boundary value problems.
Learning Outcomes	- To model engineering problems mathematically and to use solution methods of boundary value and initial value problems that these models contain - Ability to solve systems of differential equations

Week	Topics	Learning Methods
1. Week	Introduction and Basic Concepts	Verbal Expression
2. Week	Vectors	Verbal Expression
3. Week	Matrixes	Verbal Expression
4. Week	Linear Equations	Verbal Expression
5. Week	Non Linear Equations	Verbal Expression
6. Week	Differential equations	Verbal Expression
7. Week	Differential equations	Verbal Expression
8. Week	Laplace Conversion	Verbal Expression
9. Week	Laplace Conversion
10. Week	Solution of Differential Equations with Laplace Transformation	Verbal Expression
11. Week	Fourier Transformation	Verbal Expression
12. Week	Finite Difference, Numerical Differentiation, Numerical Integration	Verbal Expression
13. Week	Partial Differential Equations	Verbal Expression
14. Week	Partial differential equations	Verbal Expression

İleri Mühendislik Matematiği K. A. Stoud and Dekter J. Booth, 1992

Program Requirements	Contribution Level	DK1	DK2	Measurement Method
PY1	5	5	5	40,60

*DK = Course's Contrubution.

	0	1	2	3	4	5
Course's Level of contribution	None	Very Low	Low	Fair	High	Very High
Method of assessment/evaluation		Written exam	Oral Exams	Assignment/Project	Laboratory work	Presentation/Seminar

Event	Quantity	Duration (Hour)	Total Workload (Hour)
Midterm 1	1	50	50
Final	1	77.5	77.5
Total Workload			127.5
ECTS Credit of the Course			25.5 5.0