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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 536ANALYSIS ON TIME SCALES I3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective The aim of this course is to teach some basic concepts of time scales.
Course Content Basic definitions on time scales, Differentiation and integration on time scales , Self - Adjoint equations, Boundary value problems and Green’s function.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learns the basic definitions of time scale.
2Knows the rules of differentiation and integration on time scales.
3Learns the structures of the Self-Adjoint equations.
4Solves the Boundary value problems and learns the structure of the Green function.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0015 445   
LO 0024 554   
LO 0035 45    
LO 0044 5 5   
Sub Total18 181414   
Contribution50544000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course






195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2023-2024 Spring1İSMAİL YASLAN
Details 2022-2023 Fall1İSMAİL YASLAN
Details 2021-2022 Spring1İSMAİL YASLAN
Details 2019-2020 Fall1İSMAİL YASLAN
Details 2018-2019 Fall1İSMAİL YASLAN
Details 2017-2018 Fall1İSMAİL YASLAN
Details 2016-2017 Spring1İSMAİL YASLAN
Details 2013-2014 Fall1İSMAİL YASLAN
Details 2011-2012 Fall1İSMAİL YASLAN
Details 2010-2011 Fall1İSMAİL YASLAN
Details 2009-2010 Fall1İSMAİL YASLAN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 536 ANALYSIS ON TIME SCALES I 3 + 0 1 Turkish 2023-2024 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. İSMAİL YASLAN iyaslan@pau.edu.tr FEN A0205 %
Goals The aim of this course is to teach some basic concepts of time scales.
Content Basic definitions on time scales, Differentiation and integration on time scales , Self - Adjoint equations, Boundary value problems and Green’s function.
Topics
WeeksTopics
1 The Concept of a Time Scale
2 Differentiation on Time Scales
3 Higher Order Derivatives
4 Applications of Differentiation
5 Right-Dense Continuous Functions
6 Mean Value Theorem on Time Scales, Existence of Antiderivatives
7 Integration on Time Scales
8 Chain Rules on Time Scales
9 Midterm Exam
10 Further Basic Results
11 Exponential Function on Time Scales
12 Second Order Linear Equations, Variation of Parameters
13 Self-Adjoint Equations, Variation of Constants Formula
14 Boundary Value Problems and Green’s Function
Materials
Materials are not specified.
Resources
ResourcesResources Language
Dynamic Equations on Time Scales, Martin Bohner and Allan PetersonEnglish
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