1. FIRST CYCLE - BACHELOR'S DEGREE
  2. FACULTY OF SCIENCE AND LETTERS
  3. MATHEMATICS DEPARTMENT
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 227DIFFERENTIAL EQUATIONS - I3 + 03rd Semester6

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Compulsory
Course Objective The aim of this course is to teach basic concepts and different solution methods of ordinary differential equations.
Course Content Fundamental Concepts, First-order Differential Equations, High-order Differential Equations, Linear Differential Equations with Constant Coefficients, Differential Equations Transformed to Linear Differential Equations with Constant Coefficients.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Identifies the differential equations.
2Classifies the differential equations.
3Finds the equation whose solution is known.
4Identifies the first order differential equations and solves.
5Learns some application areas of first order differential equations.
6Identifies the higher order differential equations.
7Finds the solutions of the homogen linear equations with constant coefficients.
8Finds the solutions of the nonhomogen linear equations with constant coefficients.
9Learns some application areas of higher order differetial equtions.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10
LO 001      5   
LO 002          
LO 003          
LO 004 4      4 
LO 005          
LO 006     4    
LO 007 3      4 
LO 008 4      4 
LO 009          
Sub Total 11   45 12 
Contribution0100001010

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Mid-terms15555
Final examination15959
Total Work Load

ECTS Credit of the Course





156

6
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2019-2020 Fall1AYŞEGÜL DAŞCIOĞLU


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 227 DIFFERENTIAL EQUATIONS - I 3 + 0 1 Turkish 2019-2020 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. AYŞEGÜL DAŞCIOĞLU aakyuz@pau.edu.tr FEN A0216 %70
Goals The aim of this course is to teach basic concepts and different solution methods of ordinary differential equations.
Content Fundamental Concepts, First-order Differential Equations, High-order Differential Equations, Linear Differential Equations with Constant Coefficients, Differential Equations Transformed to Linear Differential Equations with Constant Coefficients.
Topics
WeeksTopics
1 Basic Definitions of Differential Equations.
2 Classifications and foundations of Differential Equations.
3 First-Order and First-Degree Differential Equations; Separable Variables, Homogeneous Equations and Equations Reducible to This Form.
4 Exact Differential Equations and Equations Reducible to This Form, Integrating Factors.
5 Linear, Bernoulli and Riccati Equations.
6 First-Order and First-Degree Differential Equations.
7 Applications of First-Order Differential Equations.
8 Applications of First-Order Differential Equations.
9 midterm exam
10 Theory of the Higher Order Linear Differential Equations, The method of Reduction of Order.
11 Homogeneous Linear Equations with Constant Coefficients.
12 Nonhomogeneous Linear Differential Equations; the Method of Undetermined Coefficients.
13 Operator Method.
14 The Method of Variation of Parameters.
Materials
Materials are not specified.
Resources
ResourcesResources Language
Diferansiyel Denklemler I, Ayşegül Daşcıoğlu, Mehmet Sezer, Dora yayıneviTürkçe
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Midterm Exam40Midterm Exam
Final Exam60Final Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes