Mersin Üniversitesi
Ders Bilgileri
| MATHEMATICS-I | ||||||
|---|---|---|---|---|---|---|
| Kodu | Dönemi | Teori | Uygulama | Ulusal Kredisi | AKTS Kredisi | |
| Saat / Hafta | ||||||
| İBY105 | Fall | 2 | 2 | 3 | 4 | |
| Ön Koşulu Olan Ders( ler ) | None |
| Dili | en |
| Türü | Required |
| Seviyesi | Bachelor's |
| Öğretim Elemanı( ları ) | Öğr. Gör. Vedia Bennu GİLAN |
| Öğretim Sistemi | Face to Face |
| Önerilen Hususlar | None |
| Staj Durumu | None |
| Amacı | Introducing the basic concepts of mathmematics and methods of mathematical proof. |
| İçeriği | Sets of numbers, integers, rational numbers, equations and inequalities, cartesian product, relations, functions, sets, the absolute value, exponential, logarithmic functions, trigonometric functions, analytical investigation of the line and the circle. |
Dersin Öğrenim Çıktıları
| # | Öğrenim Çıktıları |
|---|---|
| 2 | Analyzes numbers and their structures |
| 2 | Recognizes the relations between sets |
| 3 | Applies concepts of logic to proof methods |
| 4 | Distinguishes mathematical implications |
| 5 | Defines functions and some special functions |
| 6 | Formulates and develops mathematical statements |
| 7 | Describes proof methods |
| 8 | Compares sets (cardinality),compares functions (injection, surjection, bijection, inverse, preimage), definesbasic abstract structures |
Haftalık Ayrıntılı Ders İçeriği
| # | Konular | Öğretim Yöntem ve Teknikleri |
|---|---|---|
| 1 | Sets of numbers | Examples, exercises and solutions |
| 2 | Equations | Examples, exercises and solutions |
| 3 | Inequalities | Examples, exercises and solutions |
| 4 | Functions | Sample questions |
| 5 | Cartesian product | Examples, exercises and solutions |
| 6 | Relations | Examples, exercises and solutions |
| 7 | Sets | Examples, exercises and solutions |
| 8 | Midterm Exam | Written exam |
| 9 | Absolute value and its features | Examples, exercises and solutions |
| 10 | Exponential functions | Examples, exercises and solutions |
| 11 | Logarithmic functions | Examples, exercises and solutions |
| 12 | Trigonometric functions | Examples, exercises and solutions |
| 13 | Trigonometric functions | Sample questions |
| 14 | Analytical examination of the line and circle | Examples, exercises and solutions |
| 15 | Review | Exercises and solutions |
| 16 | Final Exam | Written exam |
Resources
| # | Malzeme / Kaynak Adı | Kaynak Hakkında Bilgi | Referans / Önerilen Kaynak |
|---|---|---|---|
| 1 | Prof.Dr Mustafa BALCI Balcı Publishing, Çözümlü Matematik Problemleri 1 | ||
| 2 | Prof.Dr Mustafa BALCI Balcı Publishing, Çözümlü Matematik Problemleri 2 |
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 |
|---|---|---|---|
| 2 | Analyzes numbers and their structures | 7͵8 | 1͵2 |
| 2 | Recognizes the relations between sets | 7͵8 | 1͵2 |
| 3 | Applies concepts of logic to proof methods | 3͵7͵8 | 1͵2 |
| 4 | Distinguishes mathematical implications | 7͵8 | 1͵2 |
| 5 | Defines functions and some special functions | 3͵7͵8 | 1͵2 |
| 6 | Formulates and develops mathematical statements | 7͵8 | 1͵2 |
| 7 | Describes proof methods | 4͵7 | 1͵2 |
| 8 | Compares sets (cardinality),compares functions (injection, surjection, bijection, inverse, preimage), definesbasic abstract structures | 2͵4͵7͵8 | 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 | 2 | 28 |
| 2 | Presentation and Seminar Preparation | 0 | 0 | 0 |
| 3 | Web Research, Library and Archival Work | 0 | 0 | 0 |
| 4 | Document/Information Listing | 0 | 0 | 0 |
| 5 | Workshop | 0 | 0 | 0 |
| 6 | Preparation for Midterm Exam | 1 | 2 | 2 |
| 7 | Midterm Exam | 1 | 1 | 1 |
| 8 | Quiz | 0 | 0 | 0 |
| 9 | Homework | 1 | 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 | 2 | 2 |
| 15 | Final Exam | 1 | 1 | 1 |
| 90 | ||||