MTHT 435 Foundations of Number Theory
Fall 2005
- Week 1 Divisibility, Euclid's Algorithm, Bezout's identity.
Read Chapter 1.
- Week 2 Linear Diophantine Equations, prime numbers, Fundametnal Theorem of
Arithmetic, there are infintely many primes
Read Chapter 2 (skiping 2.3)
- Week 3 there are infinitely many primes of the form 4n+3, finding all
pythagorean triples
Read 11.5 of text or Chapters 2,3 of Silverman.
- Week 4 rational solutions to x^2+y^2=1, congruences, solving linear
congruences.
Read Chapter 3.1, 3.2
- Week 5 simultaneous linear congruences, the Chineese Remainder Theorem
and applications
Read Chapter 3.3-3.5
- Week 6 Midterm 1 on Friday 9/30
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