MATH361 NUMBER THEORY I
| Course Code: |
2360361 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
| ECTS Credit: |
6.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Undergraduate |
| Course Coordinator: |
|
| Offered Semester: |
Fall and Spring Semesters. |
| Prerequisite: |
Set 1: 2360123
|
| The course set above should be completed before taking
MATH361 NUMBER THEORY I . |
Course Content
Primitive roots of an integer, Integers n for which Z_n^* is cyclic, Theory of indices, Quadratic residues, Legendre symbol, Quadratic Reciprocity Law, Solving quadratic congruences. Perfect numbers, Mersenne primes, Fermat numbers, Fibonacci numbers, Linear Diophantine equations, Pythagorean triples, Quadratic Diophantine equations, Fermat?s Infinite descent (x^4+-y^4=z^2 equations), Representing integers as sums of squares, Pell`s equation, Finite and infinite continued fractions, Solving Pell`s equation using continued fractions.
