Framdriftsplan

Forventet progresjon og ukesoppgaver (sist oppdatert 11. feb.).

Week ofSectionsTopicsSuggested problemsNotes
19 Jan2,3,4Binary operations, isomorphisms, groups2: 8, 10, 23, 34
3: 4, 8, 16, 27
4: 3, 9, 17, 29, 33, 35, 38, 41
?
26 Jan5,6,8Subgroups, cyclic groups, permutation groups5: 8, 12, 43, 45, 57
6: 12, 15, 23, 34, 44
8: 6, 7, 18, 49, 53
?
1 Feb9,10Cycles & orbits. Cosets and Lagrange's theorem9.1, 9.2, 9.3, 9.7, 9.9, 9.29, 9.33
10.4, 10.6, 10.15, 10.30, 10.37, 10.38
?
8 Feb11Direct products and finitely generated abelian groups11.3, 11.6, 11.14e, 11.16, 11.47, 11.52Assignment 1 posted
16 Feb13, 14Homomorphisms, Quotient groups13.4,13.5, 13.46, 13.49, 14.3, 14.6, 14.34, 14.35?
23 Feb15, 16Simple groups, group actions15.3, 15.4, 15.5, 15.34, 15.35, 15.36, 16.1, 16.11, 16.14, 16.15 , 16.16Assignment 1 due 26 Feb
1 Mar17Burnside's formula17.1, 17.2, 17.4, 17.6No lecture 5 Mar
8 Mar18, 19Rings and fields, Integral domains18.3, 18.5, 18.11, 18.20, 18.37, 18.46, 18.47, 18.52, 19.1, 19.2, 19.3, 19.11, 19.23, 19.29?
15 Mar20, 21Fermat's and Euler's theorems, Quotient fields20.1, 20.5, 20.12, 20.15, 20.27, 21.1, 21.2, 21.6. 21.12, 21.14?
22 Mar22, 23Polynomial rings, Factorisation of polynomials22.2, 22.5, 22.12, 22.13, 22.27, 23.2, 23.5, 23.9, 23.12, 23.14, 23.18, 23.19, 23.34, 23.35Assignment 2 posted
30 MarEaster, no lectures
6 Apr26, 27Homomorphisms of rings, Prime/maximal ideals26.1, 26.12, 26.13, 26.14, 26.25, 26.26, 26.30, 26.34, 26.35, 27.4, 27.5, 27.15, 27.16, 27.17, 27.18, 27.19, 27.28, 27.30Assignment 2 due 9 Apr
13 Apr29, 30Extension fields, vector spaces.29.1, 29.3, 29.4, 29.17, 29.18, 29.25, 30.4, 30.5, 30.6, 30.9, 30.10, 30.21?
20 Apr31, 33Algebraic field extensions, finite fields31.3, 31.5, 31.7, 31.11, 31.13, 31.23, 31.24, 31.29, 31.30, 33.4, 33.9, 33.10, 33.11, 33.12?
27 Apr48, 49Automorphisms of fields, isomorphism extension theorem48.9-14, 48.33, 48.34, 48.36, 49.1, 49.2, 49.3, 49.4, 49.5, 49.6, 49.10, 49.13?
4 May50, 51Splitting fields, separable extensions?50.2, 50.3, 50.6, 50.7, 50.22, 50.23?
11 May53Galois theory, Revision/exam practice53.1-53.5, 53.11, 53.17, 53.18?
18 May?Revision/exam practice??
Published Jan. 16, 2026 3:37 PM - Last modified Feb. 11, 2026 1:16 PM