Course Information
Course Title Code Semester T + P ECTS
Special Topics in Analysis MTK403 7 3 + 0 5

Prerequisites None.

Language Turkish
Level Bachelor's Degree
Type Elective
Coordinator Assoc.Prof. TÜLİN COŞKUN
Instructors Prof. A. ERDAL COŞKUN, Assoc.Prof. TÜLİN COŞKUN, Assist.Prof. NAZMİYE GÖNÜL
Goals To improve the ability to establish its relationship with other areas of mathematics in the course of analysis, analysis of selected current topics in the field to investigate and prove theorems about; education classes during the analysis of theoretical and practical knowledge gained by following developments in secondary education adapted to conduct studies and refresh this information, depending on current conditions.
Contents Selected at the beginning of each term issues related definitions, theorems and applications.
Work Placement(s) Absent

Number Learning Outcomes
1 Know the definitions and current issues related topics is followed by analysis.
2 Explores current issues and proofs of analysis theorems.
3 Makes the selected applications current on issues.
4 Analysis of theoretical and practical skills acquired in secondary education courses, and transfers comply.
5 Analysis of information from classes, depending on developments by following the conditions of the day renews.

Mode of Delivery Face-to-Face
Planned Learning Activities & Teaching Methods Lecture, question and answer, group work, student-centered presentation.
Assessment Methods Midterm exam, homework, final exam, presentation.



Course Content
Week Topics Study Materials
1 Discussion on the theoretical knowledge acquired in the analysis courses. Current mathematical topics latest research publications
2 Discussion on the theoretical knowledge acquired in the analysis courses. (Continue) Described in the previous week, the repetitive topic, read the topics covered a variety of sources, questions are left as an exercise to be solved.
3 Discussion on the practical information acquired in the analysis courses. To prepare a presentation which are determined by the lecturer.
4 Discussion on the practical information acquired in the analysis courses. (Continue) Described in the previous week, the repetitive topic, read the topics covered a variety of sources, questions are left as an exercise to be solved.
5 Processing of group work and presentation of selected topics. To prepare a presentation which are determined by the lecturer.
6 Processing of group work and presentation of selected topics. (Continue) Described in the previous week, the repetitive topic, read the topics covered a variety of sources, questions are left as an exercise to be solved.
7 Processing of group work and presentation of selected topics. (Continue) To prepare a presentation which are determined by the lecturer.
8 Processing of group work and presentation of selected topics. (Continue) Described in the previous week, the repetitive topic, read the topics covered a variety of sources, questions are left as an exercise to be solved.
9 Midterm Exam. General repeat should be done and the topic should be rainforced with additional resources.
10 Processing of group work and presentation of selected topics. (Continue) Described in the previous week, the repetitive topic, read the topics covered a variety of sources, questions are left as an exercise to be solved.
11 The relationships between analysis course subjects and courses in secondary school mathematics. To prepare a presentation which are determined by the lecturer.
12 The relationships between analysis course subjects and courses in secondary school mathematics. (Continue) Described in the previous week, the repetitive topic, read the topics covered a variety of sources, questions are left as an exercise to be solved.
13 Analysis Lessons of the theoretical knowledge acquired in secondary education, adapting and transferring. To prepare a presentation which are determined by the lecturer.
14 Analysis Lessons of the applied knowledge acquired in secondary education, adapting and transferring. Described in the previous week, the repetitive topic, read the topics covered a variety of sources, questions are left as an exercise to be solved.
15 Final Exam. General repeat should be done and the topic should be rainforced with additional resources.



Sources
Textbook 1. Erdal Coşkun, Analysis I, Alpine Publications, 2002. 2. Erdal Coşkun, Analysis II, Alpine Publications, 2003.
Additional Resources 3. Martin Barner and Friedrich Flohr, Walter de Gruyter,Analysis I, Berlin-New York, 1983. 4. W. Rudin, Principles of Mathematical Analysis, Springer, McGraw Hill, New York, 1983. 5. Robert A. Adams, Christopher Essex, Calculus: A Complete Course, Prentice-Hall, 2010.



Assessment System Quantity Percentage
In-Term Studies
Mid-terms 1 40
Quizzes 2 20
Assignments 2 30
Presentation / Preparing Seminar 2 10
In-Term Total 7 100
Contribution of In-Term Studies to Overall 40
Contribution of Final Exam to Overall 60
Total 100





Course's Contribution to PLO
No Key Learning Outcomes Level
1 2 3 4 5



ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Activities Quantity Duration (Hour) Total Work Load (h)
Course Duration 14 3 42
Hours for off-the-classroom study (Pre-study, practice) 14 5 70
Assignments 3 3 9
Presentation / Preparing Seminar 2 5 10
Mid-terms 1 10 10
Final examination 1 15 15
Total Work Load (h) 156
Total Work Load / 30 (h) 5.2
ECTS Credit of the Course 5