| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Mathematıcs II | MAT 116 | 2 | 3 + 0 | 3 | 5 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Prof.Dr. AKADEMİK PERSONEL |
| Dersi Verenler | |
| Dersin Yardımcıları | Research asistants of Mathematics Department |
| Dersin Kategorisi | Diğer |
| Dersin Amacı | To teach indefinite integral, methods of indefinite integral,Properties of the integral, Theorems related with the Riemann integral,Applications of the Riemann integral (Calculation of Area, length of arc, volume and surface area), Generalized integrals and their properties, functions of several variables |
| Dersin İçeriği | Indefinite integral, methods of the indefinite integrals,Properties of the Riemann integral and related theorems,Applications of Riemann integral (Calculation of Area, length of arc, volume and surface area ),The Generalized integrals and properties, functions of several variables |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | He/ she recognizes the concept of the indefinite integral | Problem Solving, Lecture, Question-Answer, Discussion, Drilland Practice, | Testing, Homework, |
| 2 | He/ she applies the integral methods | Discussion, Drilland Practice, Lecture, Problem Solving, Question-Answer, | Homework, Testing, |
| 3 | He/ she recognizes the definite integral | Problem Solving, Lecture, Drilland Practice, Question-Answer, Discussion, | Testing, Homework, |
| 4 | He/ she recognizes the generalized integrals | Discussion, Drilland Practice, Lecture, Problem Solving, Question-Answer, | Homework, Testing, |
| 5 | He/ she interprets the properties of the generalized integrals | Problem Solving, Question-Answer, Lecture, Discussion, Drilland Practice, | Homework, Testing, |
| 6 | He/she recognizes functions of several variables | Drilland Practice, Discussion, Lecture, Question-Answer, Problem Solving, | Testing, Homework, |
| 7 | He/she solves limit and continuity at the function of several variables | Question-Answer, Problem Solving, Lecture, Drilland Practice, Discussion, | Homework, Testing, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | Indefinite integrals, methods of integrals, changing variables,partial integration. | |
| 2 | Seperation of the simple fractions, integral of trigonometric functions | |
| 3 | Integral of Irrational algebric functions, Binom integrals | |
| 4 | Integrals of the radical expressions, Definition of definite integral | |
| 5 | The problems of causing definite integral, Properties of definite integral | |
| 6 | The method of changing variable, partial integral | |
| 7 | Generalized integrals, nonspecific integrals, random examples | |
| 8 | The convergence criterias of generalized integrals | |
| 9 | Mid-term exam | |
| 10 | Calculation of area, calculation of length of arc | |
| 11 | Calculation of volume | |
| 12 | Computation of surface area | |
| 13 | The domains of functions of several variables | |
| 14 | Limits and continuity of functions of several variables |
| Kaynaklar | |
|---|---|
| Ders Notu | |
| Ders Kaynakları | |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Having necessary knowledge and skills for performing his/her proficiency in the subject of motor Technologies and basic manufacturing processes | X | |||||
| 2 | Having the latest knowledge and skills for theoretical and practical applications of motor systems and principals | ||||||
| 3 | Having the latest knowledge and skills for theoretical and practical applications of vehicle systems | ||||||
| 4 | Having the latest knowledge and skills for performing tests, control and maintenance of motor/vehicle systems and hardware | ||||||
| 5 | Having the latest knowledge and skills for diagnostics and renovation processes of vehicle/motor systems | ||||||
| 6 | Having the latest knowledge in Science and Engineering | X | |||||
| 7 | Having the latest knowledge and skills in the area of electric-electronic-computer for performing tasks related to his/her proficiency | ||||||
| 8 | Having foreign language skills and knowledge for making tasks related to his/her proficiency | ||||||
| 9 | Having the latest knowledge and skills for making design and research projects in his/her area | X | |||||
| 10 | Having the latest knowledge and skills in the area of servicing/management/job security related to his/her proficiency | ||||||
| 11 | Having the latest knowledge and skills for performing tasks in teaching and education in his/her area | ||||||
| 12 | Having necessary knowledge for performing tasks in the automobile industry | ||||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 70 |
| 1. Kısa Sınav | 12 |
| 1. Ödev | 6 |
| 2. Kısa Sınav | 12 |
| 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 | 1 | 16 |
| Mid-terms | 1 | 10 | 10 |
| Quiz | 2 | 5 | 10 |
| Assignment | 1 | 5 | 5 |
| Final examination | 1 | 10 | 10 |
| Toplam İş Yükü | 83 | ||
| Toplam İş Yükü / 25 (Saat) | 3,32 | ||
| Dersin AKTS Kredisi | 5 | ||