Course Name Code Semester T+U Hours Credit ECTS
Fourier Analysis MAT 559 0 3 + 0 3 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level yuksek_lisans
Course Type Optional
Course Coordinator Prof.Dr. METİN YAMAN
Course Lecturers
Course Assistants Research assistants
Course Category
Course Objective It’s aiming to solve ordinary and partial differential equations arising in engineering and science.
Course Content Fourier Series, Fourier Integrals, some applications
# Course Learning Outcomes Teaching Methods Assessment Methods
1 He/She recognize the Fourier series. Lecture, Problem Solving, Question-Answer, Drilland Practice, Group Study, Testing, Oral Exam, Homework, Performance Task,
2 He/She learn the fourier integrals. Group Study, Drilland Practice, Question-Answer, Problem Solving, Lecture, Performance Task, Homework, Oral Exam, Testing,
3 He/She define fourier transformation. Lecture, Problem Solving, Question-Answer, Drilland Practice, Group Study, Testing, Oral Exam, Homework, Performance Task,
4 He/She explain the properties of fourier transformation. Group Study, Drilland Practice, Question-Answer, Problem Solving, Lecture, Performance Task, Homework, Oral Exam, Testing,
5 He/She apply the parseval property to some integrals. Lecture, Problem Solving, Question-Answer, Drilland Practice, Group Study, Testing, Oral Exam, Homework, Performance Task,
6 He/She solve boundary value problems with fourier transformation. Group Study, Drilland Practice, Question-Answer, Problem Solving, Lecture, Performance Task, Homework, Oral Exam, Testing,
7 She apply this transformation to partial differential equations. Lecture, Problem Solving, Question-Answer, Drilland Practice, Group Study, Testing, Oral Exam, Homework, Performance Task,
Week Course Topics Preliminary Preparation
1 Fourier series, orthogonal functions
2 Fourier sine and cosine series
3 Approximation with finite fourier series
4 Complex fourier series
5 Fourier integral and trigonometric form, fourier theorem
6 Fourier transformation
7 Relations
8 Fourier sine and cosine transformations
9 Properties of fourier transformation, convolution theorems,Time convolution, frekans convolution
10 Parseval Theorem
11 Midterm
12 Fourier transformation of some special functions
13 Solution to boundary value problems with fourier transformation
14 Applications
Resources
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. Ara Sınav 70
1. Kısa Sınav 10
1. Ödev 10
2. Kısa Sınav 10
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
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 30 30
Assignment 1 20 20
Final examination 1 10 10
Total Workload 156
Total Workload / 25 (Hours) 6.24
dersAKTSKredisi 6