Akademik Dersler - Tanıtım


Code - Course Title	MAT432 - Introduction to Number Theory II
Course Type	Area Elective Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	5.0
Course Instructor(s)	DOÇENT DOKTOR ADEM ERSİN ÜREYEN
Mode of Delivery	The mode of delivery of this course is face to face
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	There is no recommended optional programme component for this course.
Required or Recommended Resources	Elementary Number Theory, David M. Burton, Mc Graw Hill, 2005.
Recommended Reading List	Rosen, K . Elementary number theory and its applications, Addison-Wesley, 2011
Assessment methods and criteria	1. Midterm exam , 2. Midterm exam , Final Exam .
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Quadratic Residues
Week - 2	Euler's criterion
Week - 3	The Legendre symbol and its properties.
Week - 4	Gauss' lemma
Week - 5	Quadratic reciprocity law
Week - 6	Jacobi symbol
Week - 7	Quadratik congruences with composite moduli.
Week - 8	Finite continued fractions.
Week - 9	Infinite continued fractions
Week - 10	Solutions of Diophantine equations using continued fractions
Week - 11	Pell's equation.
Week - 12	Two square and four square theorems
Week - 13	Irrationality of Pi.
Week - 14	Transcendence of e.

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	30
2.Midterm Exam	1	30
Final Exam	1	40
Toplam (%)		100