| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Mathematıcs-II | MAT 112 | 2 | 4 + 0 | 4 | 6 |
| Ön Koşul Dersleri | Mathematics I |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Prof.Dr. SELMA ALTUNDAĞ |
| Dersi Verenler | Dr.Öğr.Üyesi MEHMET GÜNER, |
| Dersin Yardımcıları | Research Assistants in 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. | Lecture, Question-Answer, Discussion, | Testing, Homework, |
| 2 | He/ she applies the integral methods | Question-Answer, Discussion, Drilland Practice, Problem Solving, | Testing, Homework, |
| 3 | He/ she recognizes the definite integral . | Question-Answer, Discussion, Drilland Practice, Problem Solving, | Testing, Homework, |
| 4 | He/ she recognizes the generalized integrals. | Lecture, Question-Answer, Discussion, | Testing, Homework, |
| 5 | He/ she interprets the properties of the generalized integrals. | Question-Answer, Discussion, Drilland Practice, Brain Storming, Problem Solving, | Testing, Homework, |
| 6 | He/she recognizes functions of several variables. | Lecture, Question-Answer, Discussion, | Testing, Homework, |
| 7 | He/she solves limit and continuity at the function of several variables | Question-Answer, Discussion, Drilland Practice, Problem Solving, | Testing, Homework, |
| 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 | MIDTERM 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 | Öğretim Üyelerinin ders notları |
| Ders Kaynakları | 1-Yüksek Matematik 1-2 H.Halilov, A.Hasanoğlu, M.Can 2-Temel ve Genel Matematik M.Balcı, H.Hacısalihoğlu, F.Gökdal 3-Genel Matematik I- II Prof. H.Arıkan, Yrd.Doç.Dr. İ.Özgür, Yrd.Doç.Dr. Ö.F. Gözükızıl |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Having enough background in engineering topics related to mathematics, science and their fields. Skill of using theoretical and applied knowledge with engineering solutions in the field, | X | |||||
| 2 | Identifing, determining, formulating and solving engineering problems. With this purpose choosing and applying analytical methods and modelling techniques, | X | |||||
| 3 | To analyze a system, a part of a system or a process itself and the skill of design under the given constrains in order to fulfill the specifications. In that direction, the skill of applying modern design techniques | X | |||||
| 4 | Skill of choosing and applying the modern techniques and vehicles needed by the engineering applications. Skill of using the information technology effectively. | X | |||||
| 5 | Skill of designing and performing an experiment, data acquisition, analyzing and interpreting results, | ||||||
| 6 | Ability of accessing information and doing research. Skill of using databases and other information sources. | ||||||
| 7 | Effective working ability both as an individual and as a part of a multi-disciplinary team, self-esteem on taking responsibility, | X | |||||
| 8 | Ability to make oral or written communication in Turkish. At least one foreign language knowledge, | X | |||||
| 9 | Consciousness of the necessity of the life time learning, following the developments in science and technology and ability of ones’ continous self renewal. | X | |||||
| 10 | Consciousness of occupational and ethical responsability, | X | |||||
| 11 | Consciousness on the subjects of project management, field applications, employees health, environment and work safety; awareness on legal consequences of engineering applications, | X | |||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 70 |
| 1. Kısa Sınav | 10 |
| 2. Kısa Sınav | 10 |
| 3. Kısa Sınav | 10 |
| 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 | 4 | 64 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 4 | 64 |
| Mid-terms | 1 | 8 | 8 |
| Quiz | 2 | 1 | 2 |
| Assignment | 1 | 5 | 5 |
| Final examination | 1 | 15 | 15 |
| Toplam İş Yükü | 158 | ||
| Toplam İş Yükü / 25 (Saat) | 6,32 | ||
| Dersin AKTS Kredisi | 6 | ||