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 have latest knowledge and skills intended for research and practice in electronic technology X
2 To utilize equipments and instruments used in electronic technology X
3 To develop curriculum related to electronic technology and have a skill to transfer those accumulation by oral and written way
4 To have knowledge and skills for planning, designing and managing procedures independently or in cooperation
5 To have an open mind to ethic auditing and positive criticism, and have a constructive and interpreting attitude against scientific and social problems
6 To disseminate and realize the environmental awareness
7 To cooperate with social organizations and the society
8 To contribute to the education of people who work under his/her responsibility and to manage some activities for their vocational careers and social rights
9 To appropriate self learning and life- long learning principles
10 To congregate in national or international scale to see individual applications on the premises and to perform some activities and mobility for professional advancement in electronic technology

#### 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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