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Ders Öğretim Planı| Dersin Kodu | Dersin Adı | Dersin Türü | Yıl | Yarıyıl | AKTS | | MAT1012011131 | ANALYSİS -I | Zorunlu | 1 | 1 | 7 |
| | Dersin Seviyesi | | Lisans | | Dersin Amacı | | This course is designed to give the fundamental concepts of analysis. | | Dersi Veren Öğretim Görevlisi/Görevlileri | | Dr. Fatih Say | | Öğrenme Çıktıları | | 1 | Students will have necessary fundemental of mathematical analysis |
| | Öğrenim Türü | | Formal Education | | Dersin Ön Koşulu Olan Dersler | | None | | Ders İçin Önerilen Diğer Hususlar | | None | | Dersin İçeriği | | Natural numbers, rational numbers, irrational numbers and real number sets, the properties of linear points-phrases and completeness axiom, Extented real numbers and complex numbers. Sequences, sub-sequences, convergent sequences, the lower limit and upper limit, Cauchy sequences. Limit of functions. Continuty of functions. Trigonometric, exponential, logaritmic and hyperbolic functions. Unifom contunuity, properties of continuity functions. Derivatives, derivative rules. Parametric and implicit differentiation, higher-order derivatives. Geometrical and physical meaning of the derivative. Extrema, the derivative theorems. Uncertain limits and differential forms. Cartesian and polar coordinates, curve sketching. | | Haftalık Ayrıntılı Ders İçeriği | |
| 1 | Natural numbers, rational numbers, irrational numbers and real number sets,
| | | | 2 | the properties of linear points-phrases and completeness axiom
| | | | 3 | Extented real numbers and complex numbers.
| | | | 4 | Sequences, sub-sequences, convergent sequences, the lower limit and upper limit, Cauchy sequences
| | | | 5 | Limit of functions.
| | | | 6 | Continuty of functions
| | | | 7 | Trigonometric, exponential, logaritmic and hyperbolic functions
| | | | 8 | Midterm, | | | | 9 | Unifom contunuity,
properties of continuity functions.
| | | | 10 | Derivatives, derivative rules
| | | | 11 | Parametric and implicit differentiation, higher-order derivatives.
| | | | 12 | Geometrical and physical meaning of the derivative
| | | | 13 | Extrema, the derivative theorems
| | | | 14 | Uncertain limits and differential forms
| | | | 15 | Cartesian and polar coordinates, curve sketching.
| | | | 16 | Final exam | | |
| | Ders Kitabı / Malzemesi / Önerilen Kaynaklar | | 1 Matematik Analiz, Cilt I, Mustafa BALCI
Other Textbook and /or References
1 Thomas Kalkülüs Cilt I, George Thomas, Maurice Weir, Joel Hass
2 Yüksek Matematik Cilt I, Ahmet KARADENİZ
3 Yüksek Matematik Cilt I, Hüseyin HALİLOV
| | Planlanan Öğrenme Aktiviteleri ve Metodları | | | Değerlendirme | |
| TOPLAM | 0 | |
| TOPLAM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | TOPLAM | 100 |
| | Dersin Sunulduğu Dil | | Turkish | | Staj Durumu | | None |
| | İş Yükü Hesaplaması | |
| Midterm Examination | 1 | 2 | 2 | | Final Examination | 1 | 2 | 2 | | Makeup Examination | 1 | 2 | 2 | | Attending Lectures | 14 | 5 | 70 | | Problem Solving | 10 | 4 | 40 | | Self Study | 10 | 6 | 60 | | Individual Study for Mid term Examination | 3 | 5 | 15 | | Individual Study for Final Examination | 6 | 5 | 30 | |
| Program ve Öğrenme Çıktıları İlişkisi | | | * Katkı Düzeyi : 1 Çok düşük 2 Düşük 3 Orta 4 Yüksek 5 Çok yüksek |
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