Mersin Üniversitesi
Ders Bilgileri
| MATHEMATICS II | ||||||
|---|---|---|---|---|---|---|
| Kodu | Dönemi | Teori | Uygulama | Ulusal Kredisi | AKTS Kredisi | |
| Saat / Hafta | ||||||
| MAT106 | Spring | 4 | 0 | 4 | 4 | |
| Ön Koşulu Olan Ders( ler ) | None |
| Dili | en |
| Türü | Required |
| Seviyesi | Bachelor's |
| Öğretim Elemanı( ları ) | Lect. Sefa ÇETİN |
| Öğretim Sistemi | Face to Face |
| Önerilen Hususlar | None |
| Staj Durumu | None |
| Amacı | Analyze the problems encountered in the field of engineering and solve, analyze, discuss, and evaluate these problems. |
| İçeriği | Definition of indefinite integrals, methods of integration, rules of integration for rational and trigonometric functions, integral applications, binomial integral, definite integral, computation of plane areas, volume of revolution, length of arc of a plane curve , area of a surface of revolution , surface area, series, power series, series expansion of a function, power series and processes and applications. |
Dersin Öğrenim Çıktıları
| # | Öğrenim Çıktıları |
|---|---|
| 1 | Develop analytical thinking. |
| 2 | Develop mathematical and scientific thinking ability and use this ability in own fields. |
| 3 | Explain basic mathematical skills (problem solving, reasoning, association, generalization). |
| 4 | Analyze and evaluate problems encountered in the field. |
| 5 | Explain indefinite integral and integration rules. |
| 6 | Calculate definite integral and use related theorems. |
| 7 | Calculate arc length and area of regions. |
| 8 | Calculate volume of revolutions. |
Haftalık Ayrıntılı Ders İçeriği
| # | Konular | Öğretim Yöntem ve Teknikleri |
|---|---|---|
| 1 | Indefinite integrals | Lecture and problem solving |
| 2 | Methods of integration | Lecture and problem solving |
| 3 | Integration of rational functions | Lecture and problem solving |
| 4 | Integration by parts | Lecture and problem solving |
| 5 | Trigonometric integrals | Lecture and problem solving |
| 6 | Irrational integrals | Lecture and problem solving |
| 7 | Binomial integrals | Lecture and problem solving |
| 8 | Midterm exam | Examination |
| 9 | Definite integral | Lecture and problem solving |
| 10 | Calculations of area of plane | Lecture and problem solving |
| 11 | Computation of volume of revolution | Lecture and problem solving |
| 12 | Computation of surface area | Lecture and problem solving |
| 13 | Length of arc of a plane curve | Lecture and problem solving |
| 14 | Improper integrals | Lecture and problem solving |
| 15 | Series | Lecture and problem solving |
| 16 | Final exam | Examination |
Resources
| # | Malzeme / Kaynak Adı | Kaynak Hakkında Bilgi | Referans / Önerilen Kaynak |
|---|---|---|---|
| 1 | Balcı, M., “Analiz I”, Balcı Yayınları, 2001. | ||
| 2 | Çözümlü Analiz Problemleri cilt I-II, Prof. Dr. Abdülkadir Özdeğer | ||
| 3 | Yüksek Matematil cilt I-II; Prof. Ahmet Karadeniz, , Çağlayan kitabevi, İstanbul,1999 | ||
| 4 | -“Advanced Calculus” David V. Widder , Prentice-Hall,1968 3) “Calculus” Thomas- Finney Addison-Wesley |
Ölçme ve Değerlendirme Sistemi
| # | Ağırlık | Çalışma Türü | Çalışma Adı |
|---|---|---|---|
| 1 | 0.4 | 1 | 1. Mid-Term Exam |
| 2 | 0.6 | 5 | Final Exam |
Dersin Öğrenim Çıktıları ve Program Yeterlilikleri ile İlişkileri
| # | Öğrenim Çıktıları | Program Çıktıları | Ölçme ve Değerlendirme |
|---|---|---|---|
| 1 | Develop analytical thinking. | 1͵3͵6 | 1͵2 |
| 2 | Develop mathematical and scientific thinking ability and use this ability in own fields. | 1͵3͵6 | 1͵2 |
| 3 | Explain basic mathematical skills (problem solving, reasoning, association, generalization). | 1͵3͵6 | 1͵2 |
| 4 | Analyze and evaluate problems encountered in the field. | 1͵3͵6 | 1͵2 |
| 5 | Explain indefinite integral and integration rules. | 1͵3͵6 | 1͵2 |
| 6 | Calculate definite integral and use related theorems. | 1͵3͵6 | 1͵2 |
| 7 | Calculate arc length and area of regions. | 1͵3͵6 | 1͵2 |
| 8 | Calculate volume of revolutions. | 1͵3͵6 | 1͵2 |
Not: Ölçme ve Değerlendirme sütununda belirtilen sayılar, bir üstte bulunan Ölçme ve Değerlerndirme Sistemi başlıklı tabloda belirtilen çalışmaları işaret etmektedir.
İş Yükü Detayları
| # | Etkinlik | Adet | Süre (Saat) | İş Yükü |
|---|---|---|---|---|
| 0 | Course Duration | 14 | 4 | 56 |
| 1 | Course Duration Except Class (Preliminary Study, Enhancement) | 14 | 1 | 14 |
| 2 | Presentation and Seminar Preparation | 0 | 0 | 0 |
| 3 | Web Research, Library and Archival Work | 3 | 2 | 6 |
| 4 | Document/Information Listing | 0 | 0 | 0 |
| 5 | Workshop | 0 | 0 | 0 |
| 6 | Preparation for Midterm Exam | 1 | 8 | 8 |
| 7 | Midterm Exam | 1 | 2 | 2 |
| 8 | Quiz | 0 | 0 | 0 |
| 9 | Homework | 0 | 0 | 0 |
| 10 | Midterm Project | 0 | 0 | 0 |
| 11 | Midterm Exercise | 0 | 0 | 0 |
| 12 | Final Project | 1 | 0 | 0 |
| 13 | Final Exercise | 0 | 0 | 0 |
| 14 | Preparation for Final Exam | 1 | 11 | 11 |
| 15 | Final Exam | 1 | 3 | 3 |
| 100 | ||||