PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 219	DIFFERENTIAL EQUATIONS	2 + 2	3rd Semester	4

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	The aim of this course is to teach ordinary differential equations from both physical and mathematical points of view.
Course Content	Basic Concepts, First Order Differential Equations and Applications, Higher Order Linear Differential Equations with Constant and Variable Coefficients, Higher Order Nonlinear Differential Equations, Systems of Linear Differential Equations, Power Series Solutions.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Knows the basic informations.
2	Learns the First Order Differential Equations and Applications.
3	Knows the Higher Order Linear Differential Equations with Constant and Variable Coefficients.
4	Learns the Higher Order Nonlinear Differential Equations.
5	Solves the systems of linear equations.
6	Finds the serial solutions.

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12	PO 13	PO 14
LO 001	5	5	2	2	1	3	4	3	2	2	1	4	4	2
LO 002	5	5	2	4	1	2	4	2	3	2	1	3	4	2
LO 003	5	5	3	3	2	3	3	3	2	3	1	4	3	2
LO 004	5	5	3	4	2	3	3	3	2	3	1	3	3	2
LO 005	5	5	3	3	2	2	3	3	2	3	1	3	4	2
LO 006	5	5	2	3	2	2	3	3	3	2	1	3	3	2
Sub Total	30	30	15	19	10	15	20	17	14	15	6	20	21	12
Contribution	5	5	3	3	2	3	3	3	2	3	1	3	4	2

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	4	56
Hours for off-the-classroom study (Pre-study, practice)	10	2	20
Assignments	8	1	8
Mid-terms	1	10	10
Final examination	1	10	10
Total Work Load ECTS Credit of the Course			104 4

COURSE DETAILS

Select Year

	Course Term	No	Instructors
Details	2023-2024 Fall	4	ŞENGÜL GÜVEN

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
MAT 219	DIFFERENTIAL EQUATIONS	2 + 2	4	Turkish	2023-2024 Fall

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Assoc. Prof. Dr. ŞENGÜL GÜVEN	sgacar@pau.edu.tr		TEK A0401-01	%60

Goals		The aim of this course is to teach ordinary differential equations from both physical and mathematical points of view.
Content		Basic Concepts, First Order Differential Equations and Applications, Higher Order Linear Differential Equations with Constant and Variable Coefficients, Higher Order Nonlinear Differential Equations, Systems of Linear Differential Equations, Power Series Solutions.

Topics

Weeks	Topics
1	Solutions and classifications of differential equations
2	Solutions and classifications of differential equations
3	Seperable differential equations
4	Exact differential equations and integrating factors
5	Linear differential equations and Bernoulli differential equation
6	Orthogonal and oblique trajectories
7	Basic theory of linear differential equations
8	The homogeneous linear differential equations with constant coefficients
9	The method of undetermined coefficients
10	The method of variation of parameters
11	Operator method
12	Operator method
13	Cauchy-Euler differential equation
14	Applications of second-order linear differential equations with constant coefficients

Materials

Materials are not specified.

Resources

Resources	Resources Language
Differential Equations, Ross, L.S, John Wiley & Sons, 1984.	English
Diferansiyel Denklemler ve Uygulamaları, Aydın,M., Kuryel, B., Gündüz, G., Oturanç, G., Barış Yayınları, 2011.	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student