Mechatronics Engineering

Course Code	Course Name	Year	Period	Semester	T+A+L	Credit	ECTS
88600007	Differential Equations	2	Autumn	3	4+0+0	4	5

Course Type	Compulsory
Course Cycle	Bachelor's (First Cycle) (TQF-HE: Level 6 / QF-EHEA: Level 1 / EQF-LLL: Level 6)
Course Language	Turkish
Methods and Techniques	-
Mode of Delivery	Face to Face
Prerequisites	-
Coordinator	-
Instructor(s)	Asst. Prof. Sümeyye BAKIM
Instructor Assistant(s)	-

Name and Surname	Room	E-Mail Address	Internal	Meeting Hours
Asst. Prof. Sümeyye BAKIM	A-130	[email protected]	7880	Wednesday 12:40-13:25

Basic Vocational Courses	X
Specialization / Field Courses
Support Courses
Transferable Skills Courses
Humanities, Communication and Management Skills Courses

Relationship Levels
Lowest	Low	Medium	High	Highest
1	2	3	4	5

#	Program Learning Outcomes	Level
P1	Adequate knowledge of mathematics, science, and Mechatronics Engineering disciplines; Ability to use theoretical and applied knowledge in these fields in solving complex engineering problems.	5
P2	Ability to identify, formulate and solve complex Mechatronics Engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose.	5

Upon the successful completion of this course, students will be able to:
No	Learning Outcomes	Outcome Relationship	Measurement Method **
O1	Ability to know the engineering applications of basic mathematical knowledge and theorems	P.1.22	1
** Written Exam: 1, Oral Exam: 2, Homework: 3, Lab./Exam: 4, Seminar/Presentation: 5, Term Paper: 6, Application: 7

Week	Topics
1	Equations, Definition and Classification of Equations, Difference Scale and Scale, Solutions of Difference Equations: Integral Curve, Open-Open Solution, Special Solution, General Solution, Unique Solution, Initial Value Problem. Obtaining of Differential Equations
2	Equations, Definition and Classification of Equations, Difference Scale and Scale, Solutions of Difference Equations: Integral Curve, Open-Open Solution, Special Solution, General Solution, Unique Solution, Initial Value Problem. Obtaining of Differential Equations
3	First Order Differential Equations: Separable Difference by Variables, Differential Differences with Variables, Difference Equations, Homogeneous Functions, Homogeneous Difference Equations, Homogeneous Hale Insoluble Difference Equations.
4	First Order Differential Equations: Separable Difference by Variables, Differential Differences with Variables, Difference Equations, Homogeneous Functions, Homogeneous Difference Equations, Homogeneous Hale Insoluble Difference Equations.
5	Linear Equations, Integral Multipliers Method, Parameter Change Method.
6	Second Order Linear Difference Equations: Equations with Constant Coefficient Homogeneous Difference, Characteristic Equation, General Solutions of Linear Homogeneous Equations, Linear Independence and Wronskian Determinancy.
7	Second Order Linear Difference Equations: Equations with Constant Coefficient Homogeneous Difference, Characteristic Equation, General Solutions of Linear Homogeneous Equations, Linear Independence and Wronskian Determinancy.
8	Complex Roots of the Characteristic Equation, Real Roots, Repeating Roots, Order Drop, Nonhomogeneous Equations.
9	Complex Roots of the Characteristic Equation, Real Roots, Repeating Roots, Order Drop, Nonhomogeneous Equations.
10	Indeterminate Coefficients Method, Variation Method of Parameters (Constant), Some Special Second Order Differential Equations: Difference Variables, Difference Equations without Independent Variables. Euler Equation Equation with Variable Coefficient
11	Indeterminate Coefficients Method, Variation Method of Parameters (Constant), Some Special Second Order Differential Equations: Difference Variables, Difference Equations without Independent Variables. Euler Equation Equation with Variable Coefficient
12	Laplace transformation, Definition of Laplace Transformation
13	Laplace transformation, Definition of Laplace Transformation,
14	Initial Value Problems Solution with Laplace Transformation

Resources

Differential Equations and Linear Algebra, Stephan W. Goode& Scott A. Annin Pearson Education Inc. (Pearson Printice Hall) 2007.

In-Term Studies	Quantity	Percentage
Attendance	-	-
Laboratory	1	10 (%)
Practice	-	-
Course Specific Internship (If Any)	-	-
Homework	-	-
Presentation	-	-
Projects	-	-
Quiz	-	-
Midterms	1	40 (%)
Final Exam	1	50 (%)
Total		100 (%)

	Quantity	Duration	Total Work Load
Course Week Number and Time	14	4	56
Out-of-Class Study Time (Pre-study, Library, Reinforcement)	14	4	56
Midterms	1	10	10
Quiz	0	0	0
Homework	0	0	0
Practice	0	0	0
Laboratory	9	2	18
Project	0	0	0
Workshop	0	0	0
Presentation/Seminar Preparation	0	0	0
Fieldwork	0	0	0
Final Exam	1	10	10
Other	0	0	0
Total Work Load:			150
Total Work Load / 30			5
Course ECTS Credits:			5

Relationship Levels
Lowest	Low	Medium	High	Highest
1	2	3	4	5

#	Learning Outcomes	P1
O1	Ability to know the engineering applications of basic mathematical knowledge and theorems	5