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MATEMATİK DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu Dersin Adı Yarıyıl Süresi(T+U) Kredisi AKTS Kredisi
MAT135 MATEMATİK 1 4 3 5

DERS BİLGİLERİ

Dersin Öğretim Dili : Türkçe
Dersin Düzeyi BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Dersin Türü Zorunlu
Dersin Veriliş Şekli -
Dersin Koordinatörü Assoc.Prof. İLKE CİRİTCİ
Dersi Veren Öğretim Üyesi/Öğretim Görevlisi Dr.Öğr.Üyesi SERKAN ÇAKMAK
Ders Ön Koşulu Yok

AMAÇ VE İÇERİK

Amaç: To teach real functions, trigonometric and exponential functions, limit and derivative concepts and analysis, indefinite and definite integrals and solutions.
İçerik: Real functions, trigonometric and exponential functions, limit and derivative concepts and analysis, indefinite and definite integrals and solutions.

DERSİN ÖĞRENME ÇIKTILARI (Öğrenciler, bu dersi başarı ile tamamladıklarında aşağıda belirtilen bilgi, beceri ve/veya yetkinlikleri gösterirler.)

Explains trigonometric, exponential and logarithmic functions.(Knowledge, Blooms' 1)
Defines limit and derivative concepts. (Knowledge, Blooms' 1)
Apply the rules about limit and derivative.(Apply, Blooms' 3)
Solves exercices of indefinite and definite integrals.(Apply, Blooms' 3)
Uses derivation for solving technical problems, sketch graphs of functions with the help of derivatives.(Apply, Bloom 3)
Explain the indefinite integral and obtain its formulas. (Application, Bloom 1)

HAFTALIK DERS KONULARI VE ÖNGÖRÜLEN HAZIRLIK ÇALIŞMALARI

Hafta Ön Hazırlık Konular Yöntem
1 Students create a positive impression in the preparatory work related to course topics Introduction to course Lecture Suggestions
2 Topic started on the preparation of problems and solutions Real numbers and related problems and solutions Lecture Suggestions
3 Topic started on the preparation of problems and solutions Identities, algebraic equations, and related analyses Lecture Suggestions
4 Topic started on the preparation of problems and solutions Limit, limit rules, calculation of limit values of a function Lecture Suggestions
5 Topic started on the preparation of problems and solutions Uncertain cases at limits. Lecture Suggestions
6 Topic started on the preparation of problems and solutions Algebraic and geometric meanings of derivatives, rules of derivation, application of derivatives. Lecture Suggestions
7 Topic started on the preparation of problems and solutions Derivatives of trigonometric functions and applications Lecture Suggestions
8 - MID-TERM EXAM -
9 Topic started on the preparation of problems and solutions Derivatives of exponential functions and applications, applications of L'Hospital Rule. Lecture Suggestions
10 Topic started on the preparation of problems and solutions Definition of integral, formulas, integration methods Lecture Suggestions
11 Topic started on the preparation of problems and solutions Definition of integral, formulas, integration methods Lecture Suggestions
12 Topic started on the preparation of problems and solutions Integral applications by simple fractions method Lecture Suggestions
13 Topic started on the preparation of problems and solutions Integral applications by change of variables method Lecture Suggestions
14 Topic started on the preparation of problems and solutions Partial Integration and applications Lecture Suggestions
15 Topic started on the preparation of problems and solutions Definition of the definite integral, formulas, and methods Lecture Suggestions
16 - FINAL EXAM -
17 - FINAL EXAM -

KAYNAKLAR

James Stewart, Calculus
George B. Thomas, Calculus and Analytical Geometry
Prof. Dr. Mustafa Balcı, Çözümlü Genel Matematik Problemleri 1
Prof. Dr. Mustafa Balcı, Genel Matematik 1
Naci İskender, Yüksek Matematik
Ahmet Karadeniz, Yüksek Matematik Problemleri

ÖLÇME VE DEĞERLENDİRME

Yarıyıl İçi Yapılan Çalışmaların Ölçme ve Değerlendirmesi Etkinlik Sayısı Katkı Yüzdesi Açıklama
(0) Etkisiz (1) En Düşük (2) Düşük (3) Orta (4) İyi (5) Çok İyi
0 1 2 3 4 5

DERSİN PROGRAM ÖĞRENME ÇIKTILARINA KATKISI

KNOWLEDGE
Theoretical
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
The students is able to implement the knowledge gained during the course to their working areas.
4
KNOWLEDGE
Factual
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
They are able to assess and interpreter the environmental data for designing building by using advance skills and knowledge gained during the architectural education.
1
SKILLS
Cognitive
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
The students are able to have detail information regarding real life, experience and systems by focusing on the discipline of architecture.
4
SKILLS
Practical
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
They have the knowledge and concepts on the history of art, aesthetic, the skill of CAD use and cultural infrastructure.
1
OCCUPATIONAL
Autonomy & Responsibility
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
They are able to have planning and management skills under a group responsibility.
0
2
The students are able to gain the life-time learning skill that is the crucial part of the discipline of architecture
4
3
They are able to know how to deal with their learning needs in the educational life and after.
0
OCCUPATIONAL
Learning to Learn
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
They consider the ethical issues strictly in case of collecting data, interpretation of the data, producing the projects and the phase of implementation in the field of architecture.
1
2
They have sufficient awareness regarding environmental protection and occupational health and safety issues and also they consider risk management and responsibility issues.
2
OCCUPATIONAL
Communication & Social
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
They are able to transfer or share their comments and/or critiques regarding the architectural projects and problems with certain methods such as written, oral or other presentation techniques. They are also able to inform individuals or institutions in the field of architecture.
1
2
They are able to share their thoughts and suggestions by supporting them with numerical and qualitative manner in the architectural field with the specialists or not.
4
3
They are able to produce social responsibility projects and activities regarding social environment and they are also able to take active roles.
0
4
They are able to use of communication and information technologies effectively and efficiently in the field of architecture.
2
OCCUPATIONAL
Occupational and/or Vocational
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
They are able to work independently in the field of architecture and its production areas.
0
2
They are able to take responsibilities in the field of architectural productions in order to solve unpredictable problems and issues.
1

DERSİN İŞ YÜKÜ VE AKTS KREDİSİ

Öğrenme-Öğretme Etkinlikleri İş Yükü
Öğrenme-Öğretme Etkinlikleri Etkinlik(hafta sayısı) Süresi(saat sayısı) Toplam İş Yükü
Lecture & In-Class Activities 14 4 56
Preliminary & Further Study 14 1 14
Land Surveying 0 0 0
Group Work 0 0 0
Laboratory 0 0 0
Reading 0 0 0
Assignment (Homework) 0 0 0
Project Work 0 0 0
Seminar 0 0 0
Internship 0 0 0
Technical Visit 0 0 0
Web Based Learning 0 0 0
Implementation/Application/Practice 0 0 0
Practice at a workplace 0 0 0
Occupational Activity 0 0 0
Social Activity 0 0 0
Thesis Work 0 0 0
Field Study 0 0 0
Report Writing 0 0 0
Final Exam 1 2 2
Preparation for the Final Exam 1 30 30
Mid-Term Exam 1 2 2
Preparation for the Mid-Term Exam 1 25 25
Short Exam 0 0 0
Preparation for the Short Exam 0 0 0
TOTAL 32 0 129
Genel Toplam 129
Toplam İş Yükü / 25.5 5,1
Dersin AKTS(ECTS) Kredisi 5,0