Course plan
Rings
A plan for the course activity during period 4.
| Topic | Section in Judson | Exercises |
| Monday 22.03. Rings Download Rings | 16.1-16.2 | 16.7: 1,2,3,9,12,18,28 |
| Wednesday 24.03. Quotient rings Download Quotient rings | 16.3 | 16.7: 4,6,7,16,20,21,25,27,37 |
| Monday 29.03. Prime ideals Download Prime ideals | 16.4 | |
| Wednesday 31.03. Polynomials Download Polynomials | 17.1-17.2 |
17.5: 2,3,4,5,8,10,12,13,15,16,24, 25,28 |
| Monday 12.04. Fraction rings, UFD Download Fraction rings, UFD | 17.3, 18.1 | 18.4: 6,7,9 |
| Wednesday 14.04. Factorization Download Factorization | 18.2 | 18.4: 2,11,12,15,16,18 |
| Monday 19.04. Field extensions Download Field extensions | 21.1 | 21.5: 1,2,3,4 |
| Wednesday 21.04. Algebraic closure Download Algebraic closure | 21.2, 21.3 | 21.5: 9,17, 12,13,16,22,20, 25, 26 |
| Monday 26.04. Finite fields Download Finite fields | 22.1 | |
| Wednesday 28.04. Galois field Download Galois field | 22.1 | 22.4:2,4,5,6,14,16,17 |
| Monday 03.05. Galois theory Download Galois theory | 23.1 | |
| Wednesday 05.05. Galois theory II Download Galois theory II | 23.2 | 23.5: 1,2,5,7,14,17 |
| Wednesday 19.05. Repetition Download Repetition |
Groups
A plan for the course activity during period 3.
| Topic | Section in Judson | Exercises |
| Tuesday 19.01. Groups Download Groups | 3.1-3.2 | 3.5: 2,4,7,14,17,25,31,32,33 |
| Thursday 21.01. Subgroups Download Subgroups | 3.3 |
3.5: 37,41,47,53,54 |
| Monday 25.01. Cyclic groups Download Cyclic groups | 4 | 4.5: 1, 2, 5, 12, 14, 23, 25, 34 |
| Thursday 28.01. Signature Download Signature | 5.1, 5.2 | 5.4: 1, 2, 3, 6, 7, 18, 21, 23, 25, (32) |
| Monday 01.02. Lagrange's index theorem Download Lagrange's index theorem | 6.1-6.2 | 6.5: 5, 11, 12, 14, 15 |
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Thursday 04.02. Isomorphism Download Isomorphism |
6.3,9 |
6.5: 7,8; 9.4: 1, 2, 4, 5, 8, 9, 12, 16, 23, 38, 50 |
| Monday 08.02. Quotient groups Download Quotient groups | 10.1 | 10.4: 1, 4, 7, 10, 13 |
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Wednesday 10.02. Simplicity of An Download Simplicity of An |
10.2 | |
| Monday 15.02. Homomorphism Download Homomorphism | 11 | 11.4: 2, 5, 8, 11, 15, 16 |
| Thursday 18.02. Abelian groups Download Abelian groups | 13.1 | 13.4: 1, 2, 3, 6, 7 |
| Monday 22.02. Group action Download Group action | 14.1 | 14.5: 2, 4, 5, 20 |
| Thursday 25.02. The class equation Download The class equation | 14.2 | 14.5: 6, 22, 23 |
| Monday 01.03. Sylow theorems Download Sylow theorems | 15.1 | |
| Thursday 04.03. Sylow theorems Download Sylow theorems | 15.2 | 15.4: 1, 2, 4, 6, 7, 8, 9, 12, (16, 25) |