Course Name Code Semester T+U Hours Credit ECTS
Analysis Iii IME 301 5 3 + 0 3 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Dr.Öğr.Üyesi MİTHAT TAKUNYACI
Course Lecturers Arş.Gör. EMİNE NUR ÜNVEREN BİLGİÇ,
Course Assistants Res.Assist.Mithat TAKUNYACI
Course Category Available Basic Education in the Field
Course Objective The aim of this course is to get students to comprehend concepts of sequence and serie and teach application methods on mathematics and other sciences fields
Course Content Concept of sequence and applications. Concepts of series, series with positive term, divergent sequence and convergent sequence , alternating series and criterions of being convergent, power series. Function series, pointal and regular convergent on function series, convergent tests, Taylor series and applications in real life. Fourier series.
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Express the functions, concepts of series and convergent and their relationship. Lecture, Drilland Practice, Testing, Homework,
2 Express the series with positive term and apply the convergent tests about this series. Lecture, Drilland Practice, Testing, Homework,
3 Express the alternating series and apply the criterion of convergent about this series. Lecture, Drilland Practice, Testing, Homework,
4 Express the function series, apply the pointal and regular convergent on function series Drilland Practice, Lecture, Testing, Homework,
5 Explain and apply the applications of expansion in a series Lecture, Drilland Practice, Testing, Homework,
6 Express the Taylor series and its applications in real life Drilland Practice, Lecture, Homework, Testing,
Week Course Topics Preliminary Preparation
1 Concept of sequence
2 Convergent of sequences
3 Concepts of series and convergent of series
4 Series with positive term and convergent tests for his series
5 Series with positive term and convergent tests for his series
6 Series with positive term and convergent tests for his series
7 Alternating series and criterion of convergent about this series
8 Alternating series and criterion of convergent about this series
9 Mid - Term Exam
10 Series with any term and criterions of convergent about this series
11 Function series, pointal and regular convergent on function series
12 Taylor series and applications in real life
13 Taylor series and applications in real life
14 Fourier series
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Have general information about basic concept, theory and applicaitons on mathematics X
2 Have ability of mathematical thinking and apply to real life X
3 Classify a problem systematically also create comprehensible, understandable and objective solutions X
4 Establish relationship among events looked different X
5 Get clear and exact ideas about relationships among time, place and numbers X
6 Use principles of scientific method on problem solving X
7 Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed X
8 Think creative and critical X
9 Improve methods as fast, understandable and practical to faced problems X
10 Have information about national and international modern problems
11 Get life long learning behaviour
12 Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System X
13 Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers.
14 Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment.
15 Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) X
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 50
1. Kısa Sınav 15
1. Ödev 20
2. Kısa Sınav 15
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 20 20
Quiz 2 2 4
Assignment 1 15 15
Final examination 1 20 20
Total Workload 155
Total Workload / 25 (Hours) 6.2
dersAKTSKredisi 6