MATEMATİK I DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MAT105	MATEMATİK I	1	5	4	6

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	Assist.Prof. AHMAD RESHAD NOORI
Dersi Veren Öğretim Üyesi/Öğretim Görevlisi	Dr.Öğr.Üyesi BAHADIR KOPÇASIZ-Dr.Öğr.Üyesi FERHAT KÜRÜZ-Dr.Öğr.Üyesi ŞEYMA ÇETİN-Dr.Öğr.Üyesi TARIK ARABACI
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, complex 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, applications of L'Hospital Rule.	Lecture Suggestions
6	Topic started on the preparation of problems and solutions	Algebraic and geometric meanings of derivative, rules of derivation, application of derivatives in engineering	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	Lecture Suggestions
10	Topic started on the preparation of problems and solutions	Derivatives of transcendental functions, problem solutions of these subject	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	Integral of transcendental functions and related analyzes	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
P.F.Smith, W.R. Congley, Diferansiyel ve İntegral Hesap.
Prof.Dr.Ahmet Karadeniz, Yüksek Matematik Problemleri.
Murtaza Çalı, Diferansiyel ve İntegral Hesap.
George B. Thomas, Calculus and Analytic Geometry.
Naci İskender, Yüksek Matematik.

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

KNOWLEDGE
Theoretical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	The formal systems used in civil engineering takes and Discuss the different methods					4

SKILLS
Cognitive
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Civil engineering design for the project presentation ensures the correct expression						5

SKILLS
Practical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Civil engineering design for the project presentation ensures the correct expression			2

OCCUPATIONAL
Autonomy & Responsibility
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Rise construction in the areas of production engineering can work independently and take responsibility for these issues		1

OCCUPATIONAL
Learning to Learn
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	As a requirement of the civil engineering profession and the current change follows the principle of lifelong learning			2

OCCUPATIONAL
Communication & Social
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	As an individual becomes aware of social and professional responsibility		1

OCCUPATIONAL
Occupational and/or Vocational
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	The powers and responsibilities of civil engineering and construction management takes place within		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	4	2	8
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	3	3	9
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	2	2	4
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	1	1
Preparation for the Final Exam	1	35	35
Mid-Term Exam	1	1	1
Preparation for the Mid-Term Exam	1	25	25
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	41	0	153