Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
MATHEMATICS I MAT 111 1 4 + 0 4 6
Ön Koşul Dersleri n/a.
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Doç.Dr. SELMA ALTUNDAĞ Dersi Verenler Doç.Dr. SELMA ALTUNDAĞ Dersin Yardımcıları Staff 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. 1 - 2 - 3 - A - C - 2 - He/she recognizes functions and some special functions. 1 - 2 - 3 - 12 - A - C - 3 - He/she expresses to take the limit at one point of functions. 2 - 3 - 4 - 15 - A - C - 4 - He/she interprets the sequence and properties of sequences. 1 - 2 - 3 - 4 - A - C - 5 - He/she employs the properties of continuous functions. 2 - 3 - 4 - 15 - A - C - 6 - He/she explains the concept of derivative and applications of derivative. 1 - 2 - 3 - A - C - 7 - He/she compares the geometric and physical meaning of the derivative. 2 - 3 - 4 - 10 - 15 - A - C - 8 - He/she interprets the theorems related with derivative. 2 - 3 - 10 - A - C - 9 - He/she calculates indefinite limits. 2 - 3 - 4 - 15 - A - C - 10 - He/she explains drawing curves. 2 - 3 - 14 - A - C -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 3:Discussion 12:Case Study 4:Drilland Practice 15:Problem Solving 10:Brain Storming 14:Self Study 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, Methods of derivative
9 MIDTERM EXAM
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)

#### Kaynaklar

Ders Notu [1] Genel Matematik, M. Balcı, 4. Basım, 2006.
Ders Kaynakları [2] Yüksek Matematik 1-2 H.Halilov, A.Hasanoğlu, M.Can
[3] Temel ve Genel Matematik M.Balcı, H.Hacısalihoğlu, F.Gökdal
[4] Genel Matematik I- II Prof. H.Arıkan, Yrd.Doç.Dr. İ.Özgür, Yrd.Doç.Dr. Ö.F. Gözükızıl

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Having enough background in engineering topics related to mathematics, science and their fields. Skill of using theoretical and applied knowledge with engineering solutions in the field, X
2 Identifing, determining, formulating and solving engineering problems. With this purpose choosing and applying analytical methods and modelling techniques, X
3 To analyze a system, a part of a system or a process itself and the skill of design under the given constrains in order to fulfill the specifications. In that direction, the skill of applying modern design techniques X
4 Skill of choosing and applying the modern techniques and vehicles needed by the engineering applications. Skill of using the information technology effectively.
5 Skill of designing and performing an experiment, data acquisition, analyzing and interpreting results,
6 Ability of accessing information and doing research. Skill of using databases and other information sources. X
7 Effective working ability both as an individual and as a part of a multi-disciplinary team, self-esteem on taking responsibility, X
8 Ability to make oral or written communication in Turkish. At least one foreign language knowledge, X
9 Consciousness of the necessity of the life time learning, following the developments in science and technology and ability of ones’ continous self renewal. X
10 Consciousness of occupational and ethical responsability, X
11 Consciousness on the subjects of project management, field applications, employees health, environment and work safety; awareness on legal consequences of engineering applications, X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 70
KisaSinav 1 10
KisaSinav 2 10
Odev 1 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 4 64
Hours for off-the-classroom study (Pre-study, practice) 16 4 64
Mid-terms 1 5 5
Assignment 1 5 5
Performance Task (Laboratory) 1 10 10
Final examination 1 10 10
Toplam İş Yükü 158
Toplam İş Yükü /25(s) 6.32
Dersin AKTS Kredisi 6.32
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