(Lec 1) Mon 1 Oct: 1.1 Recap of unique factorisation (from Algebra 2B)
(Lec 2) Thu 4 Oct: 1.2 Introducing arithmetic functions
(Lec 3) Fri 5 Oct: 1.3 Dirichlet product and Moebius Inversion Theorem
(Lec 4) Mon 8 Oct: 2.1 Linear congruences
(Lec 5) Thu 11 Oct: 2.2 Chinese Remainder Theorem
(PC 1) Fri 12 Oct: Exercises 1, solutions
(Lec 6) Mon 15 Oct: 3.1 Primitive roots: primes and powers of 2
(Lec 7) Thu 18 Oct: 3.2 Primitive roots: odd prime powers and general case
(PC 2) Fri 19 Oct: Exercises 2, solutions
(Lec 8) Mon 22 Oct: 4.1 Euler's criterion and the Legendre symbol
(Lec 9) Thu 25 Oct: 4.2 The Law of Quadratic Reciprocity and the Jacobi symbol
(PC 3) Fri 26 Oct: Exercises 3, solutions
(Lec 10) Mon 29 Oct: 5.1 Gauss' Lemma (by GKS)
(Lec 11) Thu 1 Nov: 5.2 The proof of quadratic reciprocity (by GKS)
(PC 4) Fri 2 Nov: Exercises 4, solutions (by GKS)
(Lec 12) Mon 5 Nov: 6.1 Algebraic numbers and algebraic integers
(Lec 13) Thu 8 Nov: 6.2 Number fields
(PC 5) Fri 9 Nov: Exercises 5, solutions
(Lec 14) Mon 12 Nov: 7.1 Rings of integers
(Lec 15) Thu 15 Nov: 7.2 Integral bases of ideals
(PC 6) Fri 16 Nov: Exercises 6, solutions
(Lec 16) Mon 19 Nov: 8.1 Finiteness of quotient rings
(Lec 17) Thu 22 Nov: 8.2 Unique factorisation of ideals
(PC 7) Fri 23 Nov: Exercises 7, solutions
(Lec 18) Mon 26 Nov: 9.1 Ideal classes
(Lec 19) Thu 28 Nov: 9.2 Minkowski's theorem
(PC 8) Fri 29 Nov: Exercises 8, solutions
(Lec 20) Mon 3 Dec: 10.1 Minkowski's bound
(Lec 21) Thu 6 Dec: 10.2 Computing class numbers
(PC 9) Fri 7 Dec: Exercises 9, solutions
(**) Mon 10: REVISION LECTURE
(**) Thu 13: REVISION Q&A (on demand)
(**) Fri 14 Dec: NO PROBLEM CLASS
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| Alastair King -- Mathematical Sciences -- University of Bath | Updated 06 Dec 2018 |