Mersin Üniversitesi
Ders Bilgileri
| MATHEMATICS II | ||||||
|---|---|---|---|---|---|---|
| Kodu | Dönemi | Teori | Uygulama | Ulusal Kredisi | AKTS Kredisi | |
| Saat / Hafta | ||||||
| İBY106 | Spring | 2 | 2 | 3 | 3 | |
| 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 | To teach fundamental concepts of mathematical analysis and limit,continuity, derivative and applications of derivative in single-valued functions. |
| İçeriği | Preliminaries, functions, limits and continuity, derivatives, applications of derivatives, integral and its applications. |
Dersin Öğrenim Çıktıları
| # | Öğrenim Çıktıları |
|---|---|
| 1 | Recognizes the function and some special functions |
| 2 | Explains how to set limit at one point of functions. |
| 3 | Recognizes to properties of continuous functions. |
| 4 | Defines the geometric and physical meaning of the derivative |
| 5 | Compares the geometric and physical meaning of the derivative |
| 6 | Iinterprets the theorems related to derivatives. |
| 7 | Calculates indefinite limits. |
| 8 | Compares sets (cardinality), functions (injection, surjection, bijection, inverse, preimage),demonstrates basic abstract structures. |
Haftalık Ayrıntılı Ders İçeriği
| # | Konular | Öğretim Yöntem ve Teknikleri |
|---|---|---|
| 1 | Function concept, some special functions | Examples, exercises and solutions |
| 2 | Limit concept, right and left-sided limits | Examples, exercises and solutions |
| 3 | Limits of trigonometric functions | Examples, exercises and solutions |
| 4 | Continuity of functions | Sample questions |
| 5 | Properties of continuous functions | Examples, exercises and solutions |
| 6 | The concept of derivative, rules of differentiation | Examples, exercises and solutions |
| 7 | Derivatives of exponential and logarithm function | Examples, exercises and solutions |
| 8 | Term examination | Written examination |
| 9 | Higher order derivatives | Examples, exercises and solutions |
| 10 | Derivatives of trigonometric functions | Examples, exercises and solutions |
| 11 | Implicit differentiation, L'Hospital rule | Examples, exercises and solutions |
| 12 | Integral, variable replacement method | Examples, exercises and solutions |
| 13 | Partial integration method | Sample questions |
| 14 | Exponential, logarithmic, trigonometric functions, integral | Examples, exercises and solutions |
| 15 | Review | Exercises and solutions |
| 16 | Final Exam | Written examination |
Resources
| # | Malzeme / Kaynak Adı | Kaynak Hakkında Bilgi | Referans / Önerilen Kaynak |
|---|---|---|---|
| 1 | Prof.Dr Mustafa BALCI Balcı Yayınları, Çözümlü Matematik Problemleri 1 | ||
| 2 | Prof.Dr Mustafa BALCI Balcı Yayınları, 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 |
|---|---|---|---|
| 1 | Recognizes the function and some special functions | 4͵7͵8 | 1͵2 |
| 2 | Explains how to set limit at one point of functions. | 2͵4͵7 | 1͵2 |
| 3 | Recognizes to properties of continuous functions. | 2͵4͵8 | 1͵2 |
| 4 | Defines the geometric and physical meaning of the derivative | 2͵7 | 1͵2 |
| 5 | Compares the geometric and physical meaning of the derivative | 2͵7͵8 | 1͵2 |
| 6 | Iinterprets the theorems related to derivatives. | 2͵4 | 1͵2 |
| 7 | Calculates indefinite limits. | 4͵7 | 1͵2 |
| 8 | Compares sets (cardinality), functions (injection, surjection, bijection, inverse, preimage),demonstrates basic 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 |
|---|---|---|---|---|
| 13 | Final Exercise | 0 | 0 | 0 |
| 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 | 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 | 0 | 0 | 0 |
| 10 | Midterm Project | 0 | 0 | 0 |
| 11 | Midterm Exercise | 0 | 0 | 0 |
| 12 | Final Project | 1 | 0 | 0 |
| 14 | Preparation for Final Exam | 1 | 1 | 1 |
| 15 | Final Exam | 1 | 1 | 1 |
| 75 | ||||