Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
GENERAL MATHEMATICS I MAT 121 1 4 + 0 4 6
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Dr.Öğr.Üyesi MEHMET GÜNER Dersi Verenler Prof.Dr. SOLEY ERSOY Dr.Öğr.Üyesi MEHMET GÜNER 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. 1 - 2 - 3 - 15 - A - C - 2 - He/she recognizes functions and some special functions. 1 - 2 - 3 - 4 - 15 - A - C - 3 - He/she expresses to take the limit at one point of functions. 1 - 2 - 3 - 15 - A - C - 4 - He/she employs the properties of continuous functions. 2 - 3 - 4 - 15 - A - C - 5 - He/she explains the concept of derivative and applications of derivative. 1 - 2 - 3 - 4 - 15 - A - C - 6 - He/she compares the geometric and physical meaning of the derivative. 2 - 3 - 4 - 15 - A - C - 7 - He/she interprets the theorems related with derivative. 2 - 3 - 4 - 15 - A - C - 8 - He/she calculates indefinite limits. 1 - 2 - 3 - 4 - 15 - A - C - 9 - He/she explains drawing curves. 2 - 3 - 4 - 15 - A - C -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 3:Discussion 15:Problem Solving 4:Drilland Practice Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Sets (operations of set, open sets, closed sets, limit points, etc.,) [1] Page 1-4
2 Sets of numbers ( Natural numbers, Integers, Rational numbers, Real numbers and their properties.) [1] Page 4-5
3 Conceptions of Supremum, infimum, limsup, liminf, induction, conceptions of functions.
4 Some special functions and their properties [1] Page 45-76
5 Sequence of real numbers, boundedness, convergence, Bolzano-Weierstrass theorem, monotonic sequences.
6 Limit and continuity of Functions [1] Page 81-96
7 Properties of continuous (theorems of continuity), uniform continuity. [1] Page 100-106
8 Derivative, Rules of derivative, Methods of derivative [1] Page 113-146
9 Mid-term exam
10 The geometric and physical meaning of the derivative. Theorems related with the derivative. [1] Page 151-184
11 Theorems related with the derivative [1] Page 177-184
12 To compute the indefinite limits. [1] Page 187-192
13 Differentials and draw the curves (Cartesian coordinates) [1] Page 192-207
14 To draw the curves ( Polar Coordinates) [1] Page 358-362

#### Kaynaklar

Ders Notu [1] Mustafa Balcı, Analiz I, Balcı yayınları, 2003, Ankara
Ders Kaynakları [2] Thomas/Finney ( çeviren Recep Korkmaz), Calculus I, Beta yayınlarıİstanbul,2000
[3] Binali Musayev, Murat Alp, Nizami Mustafayev; Teori ve çözümlü Problemlerle Analiz I-II, Tek Ağaç Eylül Yay. 2003, Ankara.

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Informs the experienced and non experienced listener groups about the subjects related to chemistry and clearly transfers the ideas, problems and solution techniques written and orally. X
2 Shows the capability of doing advance level scientific studies independently by critical thought and learning to learn. X
3 Produces the solutions by taking the responsibilities in the case of complex situations which is unpredictable in advance in chemistry area applications.
4 Plans activities and directs them to improve the ability of his or her workers in industry in the field of chemistry. X
5 Has enough foreign language knowledge to be able to follow the new technologies related to her/his area and to be able to communicate with her/his colleagues.
6 In addition to having knowledge at satisfactory level about computer hardware, software, data processing, uses information and communication technologies which is necessary for her/his area.
7 Protects the social ethical values at the stage of collection, evaluation and publishing of data related to chemistry area.
8 Has enough knowledge and consciousness about job security, health of workers, social security rights, quality control and management and environmental protection.
9 Understands the industrial process and solves the problems faced in chemistry area.
10
11 X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 60
KisaSinav 1 15
Odev 1 10
KisaSinav 2 15
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 2 32
Mid-terms 1 15 15
Quiz 2 10 20
Assignment 1 5 5
Final examination 1 15 15
Toplam İş Yükü 151
Toplam İş Yükü /25(s) 6.04
Dersin AKTS Kredisi 6.04
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