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COURSE UNIT TITLECOURSE UNIT CODESEMESTERTHEORY + PRACTICE (Hour)ECTS
SPECIAL TRANSFORMATIONS AND FUNCTIONS MTE645 - 3 + 0 5

TYPE OF COURSE UNITElective Course
LEVEL OF COURSE UNITMaster's Degree With Thesis
YEAR OF STUDY-
SEMESTER-
NUMBER OF ECTS CREDITS ALLOCATED5
NAME OF LECTURER(S)Assistant Professor Özge Dalmanoğlu
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.
MODE OF DELIVERYFace to face
PRE-REQUISITES OF THE COURSENo
RECOMMENDED OPTIONAL PROGRAMME COMPONENTNone
COURSE DEFINITIONOrtogonal polinomials, Gamma ve Beta functions, hypergeometric functions, Bessel functions, Laplace and Fourier transformations and their applications
COURSE CONTENTS
WEEKTOPICS
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
RECOMENDED OR REQUIRED READINGCarlson, Bille Chandler, Special functions of applied mathematics, New York : Academic Press, 1977.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODSLecture,Discussion,Questions/Answers
ASSESSMENT METHODS AND CRITERIA
 QuantityPercentage(%)
Mid-term140
Total(%)40
Contribution of In-term Studies to Overall Grade(%)40
Contribution of Final Examination to Overall Grade(%)60
Total(%)100
ECTS WORKLOAD
Activities Number Hours Workload
Midterm exam
Preparation for Quiz
Individual or group work12560
Preparation for Final exam13535
Course hours14342
Preparation for Midterm exam
Laboratory (including preparation)
Final exam11,51,5
Homework11515
Total Workload153,5
Total Workload / 305,11
ECTS Credits of the Course5
LANGUAGE OF INSTRUCTIONTurkish
WORK PLACEMENT(S)No
  

KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
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