Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
MATHEMATICS I MAT 115 1 3 + 0 3 3
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Yrd.Doç.Dr. SERPİL HALICI Dersi Verenler Dersin Yardımcıları Research Assistants in mathematics department Dersin Kategorisi Dersin Amacı To give fundamental conceptions of mathematical analysis and limit,continuity, derivative and applications of derivative in single-valued functions Dersin İçeriği Fundamental conceptions of mathematical analysis, set and number conceptions,functions and special functions,sequence of real numbers,convergence,upper nad lower limits,properties of continuous functions,derivative, higher order derivative,geometric and physical meaning of the derivative, theorems related with derivative,indefinite limits, drawing curves
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/she defines the set and number conceptions 15 - 2 - 3 - 4 - 1 - A - C - 2 - He/she recognizes functions and some special functions 4 - 1 - 3 - 2 - 15 - C - A - 3 - He/she expresses to take the limit at one point of functions 15 - 2 - 3 - 1 - 4 - A - C - 4 - He/she interprets the sequence and properties of sequences 4 - 1 - 3 - 2 - 15 - C - A - 5 - He/she employs the properties of continuous functions 15 - 2 - 3 - 4 - 1 - A - C - 6 - He/she explains the concept of derivative and applications of derivative 4 - 1 - 3 - 2 - 15 - C - A - 7 - He/she compares the geometric and physical meaning of the derivative 15 - 2 - 3 - 1 - 4 - A - C - 8 - He/she interprets the theorems related with derivative 4 - 1 - 3 - 2 - 15 - C - A - 9 - He/she calculates indefinite limits 15 - 2 - 3 - 1 - 4 - A - C - 10 - He/she explains drawing curves 4 - 1 - 3 - 2 - 15 - C - A -
 Öğretim Yöntemleri: 15:Problem Solving 2:Question-Answer 3:Discussion 4:Drilland Practice 1:Lecture Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Sets (operations of set, open sets,closed sets,limit points,etc.,)
2 Sets of numbers ( Natural numbers,Integers,Rational numbers,Real numbers and their properties.)
3 Conceptions of Supremum, infimum, limsup,liminf, induction, conceptions of functions
4 Some special functions and their properties
5 Sequence of real numbers,boundedness, convergence,Reel sayı dizileri, sınırlılık, yakınsaklık,Bolzano-Weierstrass theorem,monotonic sequences
6 Limit and continuity of Functions
7 Properties of continuous (theorems of continuity), uniform continuity
8 Derivative, Rules of derivative
9 Methods of derivative
10 The geometric and physical meaning of the derivative.Theorems related with the derivative
11 Theorems related with the derivative
12 To compute the indefinite limits
13 Differentials and draw the curves (Cartesian coordinates)
14 To draw the curves ( Polar Coordinates)

Ders Notu
Ders Kaynakları

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 To evaluate technical concept by using scientific methods, to definite technical problems and to analysis them, to develop solutions related with investigation and proof in Construction Technologies. X
2 To give knowledge and methods of the solutions to the qualified or unqualified groups about the technological subjects of and methods o X
3 In Construction Technologies to develop design projects and to achieve its skills and ability, reading the projects done before and to control them
4 To realize and perform experimental and field studies and to control of them in the Construction Technologies.
5 To achieve and develop of skills about the techniques of wall, frame work, insulation, steel plate and to control of them done before in Construction Technologies.
6 To find out the land for applying of the construction systems, to measurement and
7 To know the process of the applying of constructions systems and to achieve enough knowledge and ability in order to repair or mended of the construction equipments
8 To know foreign language in order to communicate other colleagues in the Construction Technologies.
9 To achieve and learn enough knowledge about work safety , occupational health, social safety and environmental parameters in the Construction Technologies.
10 To be enterprising, competitor, organizer and social in the Construction Technologies.
11 X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 70
KisaSinav 1 10
Odev 1 10
KisaSinav 2 10
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 2 32
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 1 4 4
Quiz 2 3 6
Assignment 1 3 3
Final examination 1 10 10
Toplam İş Yükü 87
Toplam İş Yükü /25(s) 3.48
Dersin AKTS Kredisi 3.48
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