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Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
ELEMENTARY NUMBER THEORY IME 306 6 3 + 0 3 3
Ön Koşul Dersleri
Önerilen Seçmeli Dersler
Dersin Dili Türkçe
Dersin Seviyesi Lisans
Dersin Türü ZORUNLU
Dersin Koordinatörü Dr.Öğr.Üyesi ERCAN MASAL
Dersi Verenler
Dersin Yardımcıları

Res.Assist.Emine Nur BİLGİÇ

Dersin Kategorisi Alanına Uygun Temel Öğretim
Dersin Amacı

To give detailed information to students of elementary education about divisibility on integers, products on integers. Intoduce relations among congruents and some applcation fields, primitive roots and indexes and groups. To give relations among continuous fraction and rational and irrational numbers.

Dersin İçeriği

Divisibility on integers, prime numbers, important functions on number theories, congruents, linear congruents, seperating prime products on integers, primitive roots and indexes, quadric residues (second degree), cryptography subjects and usage areas in real life, continuous fractions.

Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 - Explain divisibility rules on integers 1 - 4 - A - C -
2 - Explain the relation between prime numbers and products on integers and express division on integers, highest common factor (H.C.F.), lowest common multiple (L.C.M.) by the help of this relation 1 - 4 - A - C -
3 - Explain special functions on number theory 1 - 4 - A - C -
4 - Explain the concept of congruents and solve problems related congruents 1 - 4 - A - C -
5 - Explain the solution of linear and higher order congruents 1 - 4 - A - C -
6 - Express the properties of primitive roots and indexes and solve related problems 1 - 4 - A - C -
Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice
Ölçme Yöntemleri: A:Testing C:Homework

Ders Akışı

Hafta Konular ÖnHazırlık
1 Divisibility on integers
2 Prime numbers and products on integers
3 Euler’s function
4 Congruents
5 Linear congruents
6 Chinese remainder theorem
7 Higher order congruents
8 Primitive roots
9 Mid –Term Exam
10 Indexes
11 Quadric residues
12 Cryptography
13 Continuous fractions
14 Arithmetic functions

Kaynaklar

Ders Notu
Ders Kaynakları

Döküman Paylaşımı


Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Have general information about basic concept, theory and applicaitons on mathematics X
2 Have ability of mathematical thinking and apply to real life X
3 Classify a problem systematically also create comprehensible, understandable and objective solutions X
4 Establish relationship among events looked different X
5 Get clear and exact ideas about relationships among time, place and numbers X
6 Use principles of scientific method on problem solving X
7 Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed X
8 Think creative and critical X
9 Improve methods as fast, understandable and practical to faced problems X
10 Have information about national and international modern problems
11 Get life long learning behaviour
12 Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System
13 Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers.
14 Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment.
15 Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) 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 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 1 16
Mid-terms 1 10 10
Quiz 2 1 2
Assignment 1 3 3
Final examination 1 8 8
Toplam İş Yükü 87
Toplam İş Yükü /25(s) 3.48
Dersin AKTS Kredisi 3.48
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