| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Analysıs III | IME 301 | 5 | 3 + 0 | 3 | 6 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Doç.Dr. ÖZKAN ERGENE |
| Dersi Verenler | Arş.Gör. EMİNE NUR ÜNVEREN BİLGİÇ, |
| Dersin Yardımcıları | Res.Assist.Mithat TAKUNYACI |
| Dersin Kategorisi | Alanına Uygun Temel Öğretim |
| Dersin Amacı | 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 |
| Dersin İçeriği | 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. |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 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, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 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 |
| Kaynaklar | |
|---|---|
| Ders Notu | |
| Ders Kaynakları | |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 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 | |||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 50 |
| 1. Kısa Sınav | 15 |
| 1. Ödev | 20 |
| 2. Kısa Sınav | 15 |
| Toplam | 100 |
| 1. Yıl İçinin Başarıya | 50 |
| 1. Final | 50 |
| Toplam | 100 |
| AKTS - İş Yükü Etkinlik | Sayı | Süre (Saat) | Toplam İş Yükü (Saat) |
|---|---|---|---|
| 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 |
| Toplam İş Yükü | 155 | ||
| Toplam İş Yükü / 25 (Saat) | 6,2 | ||
| Dersin AKTS Kredisi | 6 | ||