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Course syllabus : NU1 Introduction to number theory
General information
February 3: 1. Introductory problems
February 6: 2. Divisibility
February 10-13: 3. GCD ; Mersenne and Fermat primes ; Summary+HW2 February 10-13
February 17-20: 3. Linear Diophantine equation ; 4. UFT ; Summary+HW3 February 17-20
February 24-27: 5. Number and sum of divisors ; 6. Primes, phi(n) ; Summary+HW4 February 24-27
March 03-06: Review problems for the midterm ; 7. Congruences ; 8. Residue classes and systems, Euler-Fermat theorem ; Summary+HW5 March 03-06
March 10: Review for the midterm
March 13: Midterm
March 17-20: 8. Euler-Fermat theorem ; 9. Linear congruences, simultaneous systems of congrunces ; 10. Order ; Summary+HW6 March 17-20
March 24-27: 10. Primitive root, Wilson's theorem ; 11. Quadratic congruences ; Summary+HW7 March 24-27
April 7-10: 11. Quadratic congruences ; Summary+HW8 April 7-10
April 14-17: 12. Diophantine equations ; Summary+HW9 April 14-17
April 21-24: 13. Gaussian integers ; Gaussian integers (detailed handout) ; Summary+HW10 April 21-24
April 28: 13. Two squares theorem ; Gaussian integers (detailed handout) ; Review for the final
May 5-8: Review for the final ; Summary April 28 - May 5