TYPE OF COURSE UNIT | Elective Course |
LEVEL OF COURSE UNIT | Master's Degree With Thesis |
YEAR OF STUDY | - |
SEMESTER | - |
NUMBER OF ECTS CREDITS ALLOCATED | 5 |
NAME OF LECTURER(S) | Assistant Professor Özge Dalmanoğlu
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LEARNING OUTCOMES OF THE COURSE UNIT |
At the end of this course, the students; 1) To be able to comprehend special transformations. 2) To be able to comprehend special functions. 3) To be able to perceive the fields of application of Orthogonal Polynomials, Gamma and Beta functions, hypergeometric functions, Bessel functions, Laplace and Fourier transforms.
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MODE OF DELIVERY | Face to face |
PRE-REQUISITES OF THE COURSE | No |
RECOMMENDED OPTIONAL PROGRAMME COMPONENT | None |
COURSE DEFINITION | Ortogonal polinomials, Gamma ve Beta functions, hypergeometric functions, Bessel functions, Laplace and Fourier transformations and their applications |
COURSE CONTENTS | WEEK | TOPICS |
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1st Week | Special Transformations and Functions General Information | 2nd Week | Orthogonal Polynomials | 3rd Week | Orthogonal Polynomials | 4th Week | Gamma and Beta functions | 5th Week | Gamma and Beta functions | 6th Week | Hypergeometric functions | 7th Week | Hypergeometric functions | 8th Week | Mid-term Exam | 9th Week | Bessel functions | 10th Week | Bessel functions | 11th Week | Laplace and Fourier transforms | 12th Week | Laplace and Fourier transforms | 13th Week | General Applications | 14th Week | General Review |
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RECOMENDED OR REQUIRED READING | Carlson, Bille Chandler, Special functions of applied mathematics, New York : Academic Press, 1977. |
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS | Lecture,Discussion,Questions/Answers |
ASSESSMENT METHODS AND CRITERIA | | Quantity | Percentage(%) |
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Mid-term | 1 | 40 | Total(%) | | 40 | Contribution of In-term Studies to Overall Grade(%) | | 40 | Contribution of Final Examination to Overall Grade(%) | | 60 | Total(%) | | 100 |
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ECTS WORKLOAD |
Activities |
Number |
Hours |
Workload |
Midterm exam | | | | Preparation for Quiz | | | | Individual or group work | 12 | 5 | 60 | Preparation for Final exam | 1 | 35 | 35 | Course hours | 14 | 3 | 42 | Preparation for Midterm exam | | | | Laboratory (including preparation) | | | | Final exam | 1 | 1,5 | 1,5 | Homework | 1 | 15 | 15 | Total Workload | | | 153,5 |
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Total Workload / 30 | | | 5,11 |
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ECTS Credits of the Course | | | 5 |
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LANGUAGE OF INSTRUCTION | Turkish |
WORK PLACEMENT(S) | No |
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