Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
FUNDAMENTALS OF MATHEMATICS IME 506 0 3 + 0 3 6
 Dersin Dili Türkçe Dersin Seviyesi Yüksek Lisans Dersin Türü SECMELI Dersin Koordinatörü Dr.Öğr.Üyesi ERCAN MASAL Dersi Verenler Dersin Yardımcıları Res.Asst.Mithat TAKUNYACI Dersin Kategorisi Alanına Uygun Öğretim Dersin Amacı Introduce students of elementary mathematics with concepts of basic mathematics and inform them about construction of number system by the help of their historical evolution Dersin İçeriği Natural numbers, Peano Axioms , ordering natural numbers, countable, integers and features, Tamsayılar ve özellikleri , definition of rational numbers and features, rational number sequences, positive real numbers, real number sequences, principle of supremum, decimal presentation, number axis and extended real number system,, definition of complex numbers, conjugate and absolute value, basic theorem of algebra.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - Explain construction of national numbers. 1 - 2 - 3 - A - C - 2 - Express construction of rational numbers and their properties and relate them with integers. 1 - 2 - 3 - A - C - 3 - Express the properties of rational numbers and construction of rational numbers and relate with whole numbers. 1 - 2 - 3 - A - C - 4 - Explain the construction of real numbers. 1 - 2 - 3 - A - C - 5 - Express the complex numbers and subjects of operations on complex numbers. 1 - 2 - 3 - A - C - 6 - Solve problems related solution of equation and inequality by the help of definited operations on given construction of every number system. 1 - 2 - 3 - A - C -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 3:Discussion Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Natural numbers, Peano indications
2 Ordering natural numbers, countable
3 Definitions of integers and their properties
4 Integers and their properties
5 Definition of rational numbers
6 Properties of rational numbers
7 Sequences of rational numbers, Cauchy sequences
8 Definitions of real numbers and their properties
9 Mid – Term Exam
10 Positive real numbers, sequences of real number
11 Principle of least upper bound (L.U.B), decimal notation
12 Number axis and extended real number system
13 Definition of complex numbers, conjugate and absolute value
14 Basic Theorem of Algebra

Ders Notu
Ders Kaynakları

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 50
KisaSinav 1 15
Odev 1 20
KisaSinav 2 15
Toplam 100
Yıliçinin Başarıya Oranı 60
Finalin Başarıya Oranı 40
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 4 64
Mid-terms 1 5 5
Quiz 2 5 10
Assignment 1 10 10
Final examination 1 10 10
Toplam İş Yükü 147
Toplam İş Yükü /25(s) 5.88
Dersin AKTS Kredisi 5.88
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