GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

UMBRAL CALCULUS II/5261305

COURSE INFORMATION

-- (CATALOG CONTENT)

-- (TEXTBOOK)

-- (SUPPLEMENTARY TEXTBOOK)

-- (PREREQUISITES AND CO-REQUISITES)

-- LANGUAGE OF INSTRUCTION

Turkish

-- COURSE OBJECTIVES

-- COURSE LEARNING OUTCOMES

Students learn the umbral and the Sheffer shifts.
Students obtain invers Lagrange formula.
Students learn the q- umbral calculus.

-- MODE OF DELIVERY

The mode of delivery of this course is Face to face

--WEEKLY SCHEDULE
1. Week	Umbral shifts
2. Week	Recurrence formula for associated sequences
3. Week	Sheffer shifts
4. Week	Recurrence formula for Sheffer sequences
5. Week	The transfer formulas
6. Week	Examples of associated sequences
7. Week	Other Sheffer sequences
8. Week	The connection constants problem
9. Week	The lagrange inversion formula
10. Week	Steffensen sequences
11. Week	Inverse relations
12. Week	Introduction to noneclassical umbral calculus
13. Week	A particular delta series
14. Week	The q- umbral calculus
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

-- 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)

Gazi University