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 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.
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