COURSE SYLLABUS
SPECIAL FUNCTIONS ON MATHEMATICS
| 1 |
Course Title: |
SPECIAL FUNCTIONS ON MATHEMATICS |
| 2 |
Course Code: |
MAT3043 |
| 3 |
Type of Course: |
Optional |
| 4 |
Level of Course: |
First Cycle |
| 5 |
Year of Study: |
3 |
| 6 |
Semester: |
5 |
| 7 |
ECTS Credits Allocated: |
5 |
| 8 |
Theoretical (hour/week): |
3 |
| 9 |
Practice (hour/week) : |
0 |
| 10 |
Laboratory (hour/week) : |
0 |
| 11 |
Prerequisites: |
None |
| 12 |
Recommended optional programme components: |
None |
| 13 |
Language: |
Turkish |
| 14 |
Mode of Delivery: |
Face to face |
| 15 |
Course Coordinator: |
Prof. Dr. SİBEL YALÇIN |
| 16 |
Course Lecturers: |
Dr. Öğr. Üyesi Hacer ÖZDEN AYNA |
| 17 |
Contactinformation of the Course Coordinator: |
syalcin@uludag.edu.tr
2941758
Fen Edebiyat Fakültesi Matematik Bölümü
|
| 18 |
Website: |
|
| 19 |
Objective of the Course: |
The aim of the course is to make the students gain the basic subjects of special function, properties and relations between them. |
| 20 |
Contribution of the Course to Professional Development |
|
| 21 |
Learning Outcomes: |
| 1 |
To learn generating functions;
|
| 2 |
To learn Bernoulli, Euler numbers and polynomials;
|
| 3 |
To learn the relation between Riemann zeta function and generating functions;
|
|
| Week |
Theoretical |
Practical |
| 1 |
Generating functions |
|
| 2 |
Bernoulli numbers and polynomials |
|
| 3 |
Bernoulli numbers and polynomials |
|
| 4 |
Bernoulli functions and Hurwitz zeta function |
|
| 5 |
Euler numbers and recurrence formula |
|
| 6 |
Euler polinomları |
|
| 7 |
Riemann zeta function, Mellin transformation and Bernouuli numbers |
|
| 8 |
Midterm examination and general review |
|
| 9 |
Euler-Maclaurin formula |
|
| 10 |
Relation between Genocchi numbers and Bernoulli polynomials |
|
| 11 |
Gamma function |
|
| 12 |
Gauss Formula for Gamma function and its properties |
|
| 13 |
Ultrametric function |
|
| 14 |
Chebyshev polynomials |
|
| 23 |
Textbooks, References and/or Other Materials: |
Z X Wang, D R Guo, Special Functions, World Scientific 1989. |
| 24 |
Assesment |
|
| TERM LEARNING ACTIVITIES |
NUMBER |
PERCENT |
| Midterm Exam |
1 |
40 |
| Quiz |
0 |
0 |
| Homeworks, Performances |
0 |
0 |
| Final Exam |
1 |
60 |
| Total |
2 |
100 |
| Contribution of Term (Year) Learning Activities to Success Grade |
40 |
| Contribution of Final Exam to Success Grade |
60 |
| Total |
100 |
| Measurement and Evaluation Techniques Used in the Course |
|
| 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 |
4 |
56 |
| Homeworks, Performances |
0 |
0 |
0 |
| Projects |
0 |
0 |
0 |
| Field Studies |
0 |
0 |
0 |
| Midtermexams |
1 |
22 |
22 |
| Others |
0 |
0 |
0 |
| Final Exams |
1 |
24 |
24 |
| Total WorkLoad |
|
|
144 |
| Total workload/ 30 hr |
|
|
4,8 |
| ECTS Credit of the Course |
|
|
5 |
| 26 |
CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS |
|
PQ1
|
PQ2
|
PQ3
|
PQ4
|
PQ5
|
PQ6
|
PQ7
|
PQ8
|
PQ9
|
PQ10
|
|
LO1
|
0
|
4
|
0
|
4
|
0
|
0
|
0
|
4
|
4
|
0
|
|
LO2
|
0
|
4
|
0
|
4
|
0
|
0
|
0
|
4
|
4
|
0
|
|
LO3
|
0
|
4
|
0
|
4
|
0
|
0
|
0
|
4
|
4
|
0
|
|
| LO: Learning Objectives |
PQ: Program Qualifications |
| Contribution Level: |
1 Very Low |
2 Low |
3 Medium |
4 High |
5 Very High |
