| Dersin Kodu | Dersin Adı | Dersin Türü | Yıl | Yarıyıl | AKTS | | F110B | General Mathematics II | Zorunlu | 1 | 2 | 5 |
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| Dersin Seviyesi |
| Lisans |
| Dersin Amacı |
| Students will be able to analyze the change in functions benefiting from derivatives and being able to draw graphs. Student will conceptualize relationship between derivate and integral. Student will calculate different kind of indefinite integrals. Student will understand interpret concept Integral. Student will calculate length of arc, area, and volume etc by integral. Student will interpret the knowledge and transfer it at the another courses. Reinforcing the backgrounds of the students mathematics knowledge for other mathematics courses. |
| Dersi Veren Öğretim Görevlisi/Görevlileri |
| Prof. Dr. Rabil AYAZOĞLU |
| Öğrenme Çıktıları |
| 1 | Solve the maximal and minimal definite problems. | | 2 | Analyse the functions by using derivate and draw graph.. | | 3 | Calculate integration of a function | | 4 | Calculate length of arc of a curve, area and volume. | | 5 | Transfer the knowledge which is gathered from the course |
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| Öğrenim Türü |
| Normal Education |
| Dersin Ön Koşulu Olan Dersler |
| None |
| Ders İçin Önerilen Diğer Hususlar |
| None |
| Dersin İçeriği |
| Applications of derivative; maxima and minimal definite problems, indeterminate exponential function, graphics, differential equation, differential equation. Indefinite integral: definition of indefinite integral, integral which is detachable to its basic form, integration by parts, calculation integral by proper fraction, integration of trigonometric function, integration of irrational functions. Definite integral: properties of definite integral, area and volume calculation, length of arc, improper integral. |
| Haftalık Ayrıntılı Ders İçeriği |
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| 1 | Applications of derivative; maxima and minimal definite problems, indeterminate exponential function.
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| | | | 2 | Analysis of the alterations of functions and graphical drawings. | | | | 3 | Graphics | | | | 4 |
Indefinite integral: definition of indefinite integral, integral which is detachable to its basic form, integration by parts. | | | | 5 |
Indefinite integral: definition of indefinite integral, integral which is detachable to its basic form, integration by parts. | | | | 6 |
Integral which is detachable to its basic form, integration by parts.
| | | | 7 | Calculation integral by proper fraction, integration of trigonometric function, integration of irrational functions. | | | | 8 | Mid-term exam | | | | 9 | Application of indefinite integral differential equation. | | | | 10 | Application of indefinite integral differential equation | | | | 11 | Definite integral: properties of definite integral, area and volume calculation
| | | | 12 | Area calculation | | | | 13 | Volume calculation | | | | 14 | Length of arc | | | | 15 | Improper integral. | | | | 16 | End-of-term exam | | |
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| Ders Kitabı / Malzemesi / Önerilen Kaynaklar |
| 1. Balcı, M. (2012). Analitik Geometri. Sürat Üniversite Yayınları. İstanbul
2. Karakaş, B. ve Baydaş, Ş. (2008). Analitik Geometri. Palme Yayıncılık Ankara
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| Planlanan Öğrenme Aktiviteleri ve Metodları |
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| Değerlendirme | |
| Midterm Examination | 1 | 100 | | TOPLAM | 100 | |
| Final Examination | 1 | 100 | | TOPLAM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | TOPLAM | 100 |
| | Dersin Sunulduğu Dil | | Turkish | | Staj Durumu | | None |
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| İş Yükü Hesaplaması |
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| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 4 | 56 |
| Individual Study for Mid term Examination | 2 | 7 | 14 |
| Individual Study for Final Examination | 5 | 7 | 35 |
| Reading | 10 | 3 | 30 |
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| Program ve Öğrenme Çıktıları İlişkisi |
| ÖÇ1 | | 5 | | 5 | | | | | | | | | | ÖÇ2 | | 4 | | | | | | | | | | | | ÖÇ3 | | 5 | | | | | 5 | | 4 | | | | | ÖÇ4 | 4 | | 5 | | 5 | 5 | | | | | | | | ÖÇ5 | 5 | | 4 | | | | 5 | 5 | | | | |
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| * Katkı Düzeyi : 1 Çok düşük 2 Düşük 3 Orta 4 Yüksek 5 Çok yüksek |
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