1. FIRST CYCLE - BACHELOR'S DEGREE
  2. FACULTY OF ENGINEERING
  3. CIVIL ENGINEERING DEPARTMENT
  4. 241 CIVIL ENGINEERING
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 219DIFFERENTIAL EQUATIONS2 + 23rd Semester7

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

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10PO 11
LO 001544        
LO 002544        
LO 003544        
Sub Total151212        
Contribution32200000000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14456
Hours for off-the-classroom study (Pre-study, practice)14684
Mid-terms12020
Final examination12222
Total Work Load

ECTS Credit of the Course





182

7
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2020-2021 Fall10GÜRHAN GÜRARSLAN
Details 2020-2021 Fall11GÜRHAN GÜRARSLAN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 219 DIFFERENTIAL EQUATIONS 2 + 2 10 Turkish 2020-2021 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. GÜRHAN GÜRARSLAN gurarslan@pau.edu.tr MUH B0131 %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
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 Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes