Faculty of Education · Secondary School Mathematics Education · Undergraduate
Course Objective
To learn basic definitions and theorems of analysis, to learn the methodology of constructing a scientific structure by proving the theories and their properties by using the definitions and axioms, advanced analysis, functional analysis, and basic mathematics knowledge that can be used in all areas of mathematics and to form an infrastructure for this purpose, to learn analytical thinking and analysis.
Course Content
Trigonometric functions, trigonometric relations, trigonometric equation solutions; complex numbers and properties; Riemann sum, definite integral, indefinite integral, integration methods, applications of integrals, improper integrals, series and convergence tests.
Required Resources
1. Balcı M, Matematik Analiz I-II , Palme Yayınevi, 2016
2. Mümin Yamankaradeniz, Analiz II. Kısım, Uludağ Üniversitesi Basımevi, Bursa, 1994. 3. Thomas Calculus, George B. Thomas, Addison Wesley Press ISBN:0-201-75527-0.
3. Balcı M., Temel Matematik, Palme Yayınevi, 2016
Recommended Resources
4. Mustafa Bayraktar, Analize Giriş II İntegral Hesap, Grafiker Yayıncılık, Ocak 2008, Ankara
5. Thomas Calculus, George B. Thomas, Addison Wesley Press ISBN:0-201-75527-0.
6. Doç. Dr. Cevdet Cerit ve Prof. Dr. Ahmet Canoğlu, “Matematik Analiz 1,2”, İTÜ, 1991.Ders notları
Rules
In order to calculate the student's grade, the final exam score must be at least 30 or higher.
In order for the student to take the final exam, the participation in the course must be at least 70 percent.
Course Learning Outcomes
- Recognizes trigonometric functions and uses them in equation solution.
- İntegrates and applies to questions.
- Calculates field and volume by integrate
- Recognizes the improper integrals and determines its character.
- Gains knowledge of convergence and divergence of series.
Core Area Distribution
Teaching Methods
Assessment & Evaluation
ECTS / Workload
| Activity | Quantity | Duration (h) | Total Workload |
|---|---|---|---|
| Course Duration (Including Exam Week) | 16 | 2 | 32 |
| Out of Class Study Period | 10 | 4 | 40 |
| Midterm | 1 | 12 | 12 |
| Quiz | 0 | 0 | 0 |
| Assignment | 0 | 0 | 0 |
| Practice | 0 | 0 | 0 |
| Final | 1 | 16 | 16 |
Course Schedule
| Week | Subject | Preparation |
|---|---|---|
| 1 | Balcı M, Matematik Analiz I, Palme Yayınevi, 2016 | |
| 2 | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 | |
| 3 | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 | |
| 4 | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 | |
| 5 | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 | |
| 6 | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 | |
| 7 | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 | |
| 8 | Midterm | Notes |
| 9 | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 | |
| 10 | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 | |
| 11 | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 | |
| 12 | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 | |
| 13 | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 | |
| 14 | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 | |
| 15 | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 | |
| 16 | Final exam | Balcı M, Matematik Analiz II, Palme Yayınevi, 2016 |