GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
UMBRAL CALCULUS I/5251305
Course Title: UMBRAL CALCULUS I
Credits 3 ECTS 7.5
Course Semester 1 Type of The Course Elective
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
Students comprehend the differences between the analysis and the umbral analysis.
Students define Umbral operators and their composition.
Students learn Sheffer sequences and Sheffer operators.

 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Definition of the umbral calculus
2. Week  Basic concepts
3. Week  The umbral algebra
4. Week  Linear operators
5. Week  Sheffer sequences
6. Week  Associted sequences
7. Week  Examples (Appell sequences, etc.)
8. Week  Continuous operators
9. Week  Automorphisms
10. Week  Derivatives
11. Week  Adjoints
12. Week  Umbral operators
13. Week  Umbral Composition
14. Week  Sheffer operators
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
20
 Assignment
4
30
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
50
 Percentage of Final Exam to Total Score  
50
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
0
0
0
 Reading Tasks
0
0
0
 Searching in Internet and Library
6
15
90
 Material Design and Implementation
0
0
0
 Report Preparing
0
0
0
 Preparing a Presentation
0
0
0
 Presentation
0
0
0
 Midterm Exam and Preperation for Midterm Exam
0
0
0
 Final Exam and Preperation for Final Exam
2
10
20
 Other (should be emphasized)
2
15
30
 TOTAL WORKLOAD: 
182
 TOTAL WORKLOAD / 25: 
7.28
 Course Credit (ECTS): 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1X
2X
3X
4X
5X
6X
7
8X
9X
10X
11X
12
 -- NAME OF LECTURER(S)
   (Prof. Dr. İsmet YÜKSEL)
 -- WEB SITE(S) OF LECTURER(S)
   (www.websitem.gazi.edu.tr/site/iyuksel)
 -- EMAIL(S) OF LECTURER(S)
   (iyuksel@gazi.edu.tr)