Course Name Code Semester T+U Hours Credit ECTS
Integral Transformations MAT 534 0 3 + 0 3 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level yuksek_lisans
Course Type Optional
Course Coordinator Doç.Dr. YALÇIN YILMAZ
Course Lecturers Doç.Dr. YALÇIN YILMAZ,
Course Assistants Research assistants
Course Category
Course Objective To solve ordinary and partial differential equations by using integral transformatios.
Course Content Fourier Integral Transformation, Laplace Integral Transformation, Mellin Integral Transformation, Hankel Integral Transformation
# Course Learning Outcomes Teaching Methods Assessment Methods
1 To introduce integral transformations Lecture, Drilland Practice, Problem Solving, Testing, Homework,
2 To apply these transformations to solve partial differential equations. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Fourier Series
2 Fourier Series
3 Fourier Integrals
4 Fourier Integrals
5 Applications
6 Laplace Transformation
7 Laplace Transformation
8 Laplace Integral Transformation
9 Laplace Integral Transformation
10 Applications
11 Midterm
12 Mellin Integral Transformation
13 Hankel Transformation
14 Applications
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
0 Develop strategic, political and practice plans and evaluate the results by taking into account the quality process in his/her area of expertise X
2 Student follows the current journals in his/her field and puts forward problems. X
3 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
4 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
5 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
6 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
7 Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field. X
8 Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters X
9 Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research. X
10 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. X
11 Student considers the scientific and cultural ethical values in the phases of gathering and conveying data or writing articles. X
Evaluation System
Semester Studies Contribution Rate
1. Ödev 100
Total 100
1. Yıl İçinin Başarıya 40
1. Final 60
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 10 10
Quiz 2 10 20
Assignment 1 30 30
Final examination 1 10 10
Total Workload 166
Total Workload / 25 (Hours) 6.64
dersAKTSKredisi 6