COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 219DIFFERENTIAL EQUATIONS2 + 23rd Semester4

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 prerequisites. Corequisite No corequisites. 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

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Course Duration14456
Hours for off-the-classroom study (Pre-study, practice)14114
Mid-terms11010
Final examination12424

ECTS Credit of the Course

104

4

COURSE DETAILS
Select Year

Course TermNoInstructors
Details 2020-2021 Fall5ÖMER ALTAN DOMBAYCI

Course Details
Course Code:  MAT 219 Course Title:  DIFFERENTIAL EQUATIONS
L+P Hour : 2 + 2   Course Code : 5   Language Of Instruction: Turkish Course Semester :  2020-2021 Fall
Course Coordinator :  PROFESSOR ÖMER ALTAN DOMBAYCI E-Mail:  adombayci@pau.edu.tr, Phone Number :  296 4125, 296 4108,
Course Location TEK A0007,
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.
Attendance : %60
Topics
WeeksTopics
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
ResourcesResources 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 MethodsPercentage (%)Assesment Methods Title
Final Exam60Final Exam
Midterm Exam40Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes