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MATHEMATICS DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu Dersin Adı Yarıyıl Süresi(T+U) Kredisi AKTS Kredisi
MTH135 MATHEMATICS 1 4 3 5

DERS BİLGİLERİ

Dersin Öğretim Dili : İngilizce
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 DENİZ ALTUN-Dr.Öğr.Üyesi MEHMET ARSLAN
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 problem and solutions Lecture Suggestions
3 Topic started on the preparation of problems and solutions Identities, algebraic equations and related analyzes 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 derivative, 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
With the architectural education, students will gain the advanced theoretical and practical knowledge, which are supported by educational sources containing current information, and also be able to discuss and evaluate physical composition systems and methods.
4
KNOWLEDGE
Factual
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
They will have the comprehension and knowledge in relation to scientific, IT, aesthetic, art and historical and cultural infrastructure in the field of architecture.
1
SKILLS
Cognitive
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
They will be able to apply the theoretical knowledge and applications gained in the programme in their working life.
4
SKILLS
Practical
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
They will interpret and evaluate the environmental conditions required for architectural design by using their advanced knowledge and skills gained through the programme and they will also develop their ability to present their ideas and thoughts adequately in projects.
1
OCCUPATIONAL
Autonomy & Responsibility
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
They can work independently both in architectural education and its related fields.
0
2
They will take on responsibility individually or as a group member in order to solve unforeseen problems faced in the production field of architecture discipline.
4
3
They will plan and manage activities with regards to professional development of the staff working under their responsibility in the production field of architecture discipline.
0
OCCUPATIONAL
Learning to Learn
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
They will make lifetime learning a priority in order to follow recent changes and innovations as necessary in architecture.
2
2
They will be able to determine their learning needs during and after their educational life and channel them.
3
OCCUPATIONAL
Communication & Social
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
They will inform individuals and institutions in the field of architectural. They will transfer their thoughts regarding architectural projects and problems using written, oral and presentation methods.
2
2
They will share their thoughts and solution suggestions with professionals and non-professionals related to the field of architecture by supporting it with quantitative and qualitative data.
4
3
They will organise activities regarding social environment with social awareness and they will take an effective role.
0
4
They will be able to use information technology effectively in the field of architecture.
3
OCCUPATIONAL
Occupational and/or Vocational
Program Yeterlilikleri/Çıktıları Katkı Düzeyi
0 1 2 3 4 5
1
They will act appropriately in the context of social, scientific and ethic values in all phases of architectural planning process including collecting and evaluating data, producing and implementing projects.
1
2
They will take part in construction management in the context of authority and responsibility. They will also have adequate awareness of environment protection and health and occupational safety issues.
2

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