Mersin Üniversitesi
Ders Bilgileri
| MATHEMATICS I | ||||||
|---|---|---|---|---|---|---|
| Kodu | Dönemi | Teori | Uygulama | Ulusal Kredisi | AKTS Kredisi | |
| Saat / Hafta | ||||||
| MAT105 | Fall | 4 | 0 | 4 | 4 | |
| Ön Koşulu Olan Ders( ler ) | None |
| Dili | en |
| Türü | Required |
| Seviyesi | Bachelor's |
| Öğretim Elemanı( ları ) | Lecturer Sefa Çetin |
| Öğretim Sistemi | Face to Face |
| Önerilen Hususlar | None |
| Staj Durumu | None |
| Amacı | Fulfill the deficiency of the high school mathematics knowledge and develop analytical thinking skills, problem-solving ability, and analyze problems encountered in the field of Engineering, and develop discussion and evaluation characteristics. |
| İçeriği | Numbers, functions and some special functions, limit and continuity in functions, derivative, application of derivative, rolle and mean value theorems, indeterminate forms, parametric equation, polar coordinate, differential, curve tracing. |
Dersin Öğrenim Çıktıları
| # | Öğrenim Çıktıları |
|---|---|
| 1 | Develop analytical thinking. |
| 2 | Develop mathematical thinking ability and use this ability in the field. |
| 3 | Apply basic mathematical skills (problem solving, reasoning, association, generalization). |
| 4 | Analyze and evaluate problems encountered in the field. |
| 5 | Use numerical systems. |
| 6 | Explain functions and some special functions. |
| 7 | Explain the concept of limit and continuity of functions. |
| 8 | Explain the derivative concept and and apply various applications of derivative. |
Haftalık Ayrıntılı Ders İçeriği
| # | Konular | Öğretim Yöntem ve Teknikleri |
|---|---|---|
| 1 | Sets | Lecture, discussion and problem solving |
| 2 | Real numbers and irrational numbers | Lecture, discussion and problem solving |
| 3 | Functions | Lecture, discussion and problem solving |
| 4 | Some special functions | Lecture, discussion and problem solving |
| 5 | Trigonometric functions and antitrigonometric functions | Lecture, discussion and problem solving |
| 6 | Exponential and logarithmic functions | Lecture, discussion and problem solving |
| 7 | Limit | Lecture, discussion and problem solving |
| 8 | Mid-term | Examination |
| 9 | Derivative | Lecture, discussion and problem solving |
| 10 | Various application of derivative | Lecture, discussion and problem solving |
| 11 | Maximum and minimum points in a function | Lecture, discussion and problem solving |
| 12 | Maximum and minimum problems | Lecture, discussion and problem solving |
| 13 | Rolle and mean value theorem | Lecture, discussion and problem solving |
| 14 | Indetermined forms and differential | Lecture, discussion and problem solving |
| 15 | Skecthing curve | Lecture, discussion 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 thinking ability and use this ability in the field. | 1͵3͵6 | 1͵2 |
| 3 | Apply 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 | Use numerical systems. | 1͵3͵6 | 1͵2 |
| 6 | Explain functions and some special functions. | 1͵3͵6 | 1͵2 |
| 7 | Explain the concept of limit and continuity of functions. | 1͵3͵6 | 1͵2 |
| 8 | Explain the derivative concept and and apply various applications of derivative. | 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 | 9 | 2 | 18 |
| 4 | Document/Information Listing | 0 | 0 | 0 |
| 5 | Workshop | 0 | 0 | 0 |
| 6 | Preparation for Midterm Exam | 1 | 4 | 4 |
| 7 | Midterm Exam | 1 | 1 | 1 |
| 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 | 0 | 0 | 0 |
| 13 | Final Exercise | 0 | 0 | 0 |
| 14 | Preparation for Final Exam | 1 | 6 | 6 |
| 15 | Final Exam | 1 | 1 | 1 |
| 100 | ||||