1	Course Title:	P-ADIC ANALYSIS II
2	Course Code:	MAT6118
3	Type of Course:	Optional
4	Level of Course:	Third Cycle
5	Year of Study:	2
6	Semester:	4
7	ECTS Credits Allocated:	6
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Doç. Dr. HACER ÖZDEN AYNA
16	Course Lecturers:
17	Contactinformation of the Course Coordinator:	hozden@uludag.edu.tr 02242941664
18	Website:
19	Objective of the Course:	The aim of this course is to teach former notions intensively and in detail and to make them differentiate between results on different structures
20	Contribution of the Course to Professional Development	Can establish correspondence between mathematical concepts and can think analytically

21

Learning Outcomes:

1 Knows the properties of p-adic analysis in details ; 2 Knows the properties of p-adic zeta functions, L-functions and gamma functions;

22	Course Content:

Week	Theoretical	Practical
1	p-adic zeta functions L-functions and gamma functions
2	p-adic Dirichlet L functions
3	Leopoldt's formula
4	p-adic gamma function
5	Gauss and Jacobi Sums
6	Fermat Curves
7	Cohomology
8	p-adic formula for Gauss Sums
9	Stickleberger's theorem
10	Regulators and L-functions
11	Leopoldt's p-adic regulator
12	Gross's p-adic regulator
13	The Shnirelman integral and p-adic Stieltjes transform
14	p-adic spectral theorem

23	Textbooks, References and/or Other Materials:	A Course in p-adic Analysis, Robert, Alain M., Springer.
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	50
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	50
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		50
Contribution of Final Exam to Success Grade		50
Total		100
Measurement and Evaluation Techniques Used in the Course	The system of relative evaluation is applied."
Information

25

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	3	42
Practicals/Labs	0	0	0
Self Study and Preparation	14	6	84
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	27	27
Others	0	0	0
Final Exams	1	27	27
Total WorkLoad			207
Total workload/ 30 hr			6
ECTS Credit of the Course			6

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 LO1 0 3 3 0 2 5 4 0 3 0 LO2 0 3 3 0 2 5 4 0 3 0

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High