| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Analysıs III | IME 207 | 3 | 2 + 0 | 2 | 3 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Doç.Dr. ÖZKAN ERGENE |
| Dersi Verenler | Doç.Dr. MİTHAT TAKUNYACI, |
| Dersin Yardımcıları | Res. Assist. Emine Nur BİLGİÇ |
| Dersin Kategorisi | Alanına Uygun Temel Öğretim |
| Dersin Amacı | The purpose of the course is to be able to examine development of basic mathematical concepts and theoretical structure of storied integral calculus in hypervariable functions. |
| Dersin İçeriği | Concepts of function of several variables, definition of function and value sets, function drawings. Limit concepts in two valued functions and applications, concepts of continuity. Partial derivative in two valued functions, chain rule, differential increase and linearization, |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | Student will recognize hypervariable functions, find the domain and draw the graphs. | Lecture, Drilland Practice, | Testing, Homework, |
| 2 | Students will learn how to define the concepts of limit for multivariable functions. | Lecture, Question-Answer, Discussion, | Testing, |
| 3 | Students will learn how to define the concepts of continuity for multivariable functions | Lecture, Question-Answer, Discussion, | Testing, |
| 4 | Students will learn how to define the concepts of derivative for multivariable functions | Lecture, Question-Answer, Discussion, | Testing, |
| 5 | Students will learn how to function series. | Lecture, Question-Answer, Discussion, | Testing, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | Concept of function of several variables, definition of function and value sets, graphic drawings | |
| 2 | Topology of IRN | |
| 3 | Concept of limit in functions of two variables | |
| 4 | Concept of continuity in functions of two variables | |
| 5 | Derivative in functions of two variables | |
| 6 | Partial derivatives in functions of two variables | |
| 7 | Geometric Interpretation of Partial Derivative | |
| 8 | Chain rule with two variable functions | |
| 9 | Midterm | |
| 10 | Directional derivative concept | |
| 11 | Higher-Order Derivatives | |
| 12 | Function Series. | |
| 13 | General applications | |
| 14 | General applications |
| Kaynaklar | |
|---|---|
| Ders Notu | |
| Ders Kaynakları | Thomas Kalkülüs Metrik Baskı Cilt: 1, George B. Thomas, Joel R. Hass, Maurice D. Weir, Pearson Education Matematik Analiz, Mustafa Balcı, Balcı Yayınları |
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| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 60 |
| 1. Kısa Sınav | 15 |
| 1. Ödev | 10 |
| 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 | 2 | 32 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 2 | 32 |
| Mid-terms | 1 | 5 | 5 |
| Quiz | 2 | 4 | 8 |
| Assignment | 1 | 3 | 3 |
| Final examination | 1 | 6 | 6 |
| Toplam İş Yükü | 86 | ||
| Toplam İş Yükü / 25 (Saat) | 3,44 | ||
| Dersin AKTS Kredisi | 3 | ||