Course Code	Semester	Course Name	LE/RC/LA	Course Type	Language of Instruction	ECTS
MB0016	4	Differential Equations II	2/2/0	CC	Turkish	5

Course Goals	To teach students the basic concepts of differential equations and bring them to the level that they can use these concepts.
Prerequisite(s)	-
Corequisite(s)	-
Special Requisite(s)	-
Instructor(s)	Assist. Prof. Dr. Nurşah Mutlu Varlıoğlı
Course Assistant(s)	Res. Asst. Tuğba Daymaz
Schedule	Tuesday 11:00-12:30, Thursday 13:00-14:30. İKÜ-CATS
Office Hour(s)
Teaching Methods and Techniques	Lectures and applications
Principle Sources	R. Nagle, E. B. Saff, A. D. Snider, Diferansiyel Denklemlerin Temelleri, 8. Baskıdan Çeviri, Nobel Yayınları.
Other Sources	W.E. Boyce and R.C. DiPrima, Elementer Diferansiyel Denklemler Ve Sınır Değer Problemleri, 10. Baskıdan Çeviri, Palme Yayıncılık.

Course Schedules
Week	Contents	Learning Methods
1. Week	Laplace Transforms; Definition of the Laplace Transforms	Lectures and applications
2. Week	Properties of the Laplace Transform; Inverse Laplace Transform	Lectures and applications
3. Week	Solving Initial Value Problems; Convolution	Lectures and applications
4. Week	Series Solutions of Differential Equations; Power Series and Analytic Functions	Lectures and applications
5. Week	Power Series Solutions to Linear Differential Equations	Lectures and applications
6. Week	Equations with Analytic Coefficients	Lectures and applications
7. Week	Cauchy-Euler Equations	Lectures and applications
8. Week	Method of Frobenius	Lectures and applications
9. Week	Finding a Second Linearly Independent Solution	Lectures and applications
10. Week	Matrix Methods for Linear Systems	Lectures and applications
11. Week	Matrices and Vectors	Lectures and applications
12. Week	Linear Systems in Normal Form	Lectures and applications
13. Week	Homogeneous Linear Systems with Constant Coefficients	Lectures and applications
14. Week	Complex Eigenvalues	Lectures and applications
15. Week	Nonhomogeneous Linear Systems	Lectures and applications
16. Week	Final exam
17. Week	Final exam

Assessments
Evaluation tools	Quantity	Weight(%)
Homework / Term Projects / Presentations	1	40
Final Exam	1	60

Program Outcomes PO-1 Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science. PO-2 Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science. PO-3 Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence. PO-4 Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline. PO-5 Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science. PO-6 Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish. PO-7 Using time effectively in inventing solutions by implementing analytical thinking. PO-8 Understanding professional ethics and responsibilities. PO-9 Having the ability to behave independently, to take initiative, and to be creative. PO-10 Understanding the importance of lifelong learning and developing professional skills continuously. PO-11 Using professional knowledge for the benefit of the society.

Learning Outcomes LO-1 Find the Laplace transform of a function by definition and by use of a table. LO-2 Find the inverse Laplace transform of a function. LO-3 Find the convolution of two functions and the transform of a convolution. LO-4 Solve initial value problems using the Laplace transform. LO-5 Solve a Cauchy-Euler Equation. LO-6 Identify ordinary and singular points. LO-7 Find power series solutions about ordinary and singular points. LO-8 Write a system in operator notation and solve by elimination. LO-9 Solve a homogeneous linear system by the eigenvalue method. LO-10 Solve a nonhomogeneous linear system by using different techniques.

Course Assessment Matrix:

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10	PO 11