Week-of |
Topics |
Assignments |
Sep 6
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Class starts: Thursday 9th.
2.3 Divisibility
2.4 Primes, GCDs
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2.3: # 3--9 odd, 17, 20, 21, 24, 25, 26, 40
2.4: # 2abc, 3cd, 10, 21, 33, 34
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Sep 13
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2.5 Congruence of integers
2.6 Congruence classes
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2.5: # 1--15 odd, 27, 28
2.6: # 1abcd, 2ab, 3abd, 4abc, 5abg, 6ac, 7ac, 8bde, 16, 18, 20--23
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Sep 20
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1.6 Matrices
1.4 Binary operations
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1.6: # 3, 9--12, 14, 16, 30, 31
1.4: # 1abcd, 2abcd, 3--6, 7--8, 12--13
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Sep 27
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3.1 Definition of a group
3.2 Properties of group elements
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3.1: # 1--7, 11--15, 17, 20, 21, 23, 25, 28, 29
3.2: # 1--6, 11--15, 17, 19--20
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Oct 4
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3.3 Subgroups
3.4 Cyclic groups
Exam I: Thursday Oct 7th.
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3.3: # 2, 3, 6a, 7a, 8, 13ac, 14ab, 17, 18a, 29, 30, 33, 40, 41
3.4: # 2, 5, 7, 8, 9ac, 10c, 11ac, 12a, 16, 18c, 23ab, 25, 27--28
Practice Problems Exam I
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Oct 11
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Monday classes Oct 12
3.5 Isomorphisms
3.6 Homomorphisms
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3.5: # 1--4, 7, 8, 10, 12, 15, 24, 26
3.6: # 1--5, 8, 9, 11, 15--18
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Oct 18
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4.1 Finite permutation groups
4.4 Cosets of a subgroup
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4.1: # 1-10abc, 14
4.4: # 3, 7, 8, 12, 19, 20--22, 24
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Oct 25
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4.5 Normal subgroups
4.6 Quotient groups
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4.5: # 1c, 32, 2, 4, 6, 22, 25, 29--30, 33
4.6: # 3, 7, 18--19, 21, 30, 34, 37
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Nov 1
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4.7 Direct Sums
5.1 Definition of a ring
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4.7: # 1, 3, 7, 16--17, 19
5.1: # 1ab, 2abcdf, 7, 8, 10, 14ac, 16, 23--25, 27, 30, 39, 47--48
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Nov 8
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5.2 Integral domains and fields
Exam II: Tuesday Nov 9th.
No class Nov 11th.
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5.2: # 1abeg, 2, 8, 11, 15--16, 18, 21, 23
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Nov 15
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6.1 Ideals and quotient rings
6.2 Ring homomorphisms
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6.1: # 1, 3--4, 6--8, 11--15, 19acd, 20--21, 26--27, 31
6.2: # 1, 3, 6, 7, 10, 12, 14, 21--22, 24, 25a
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Nov 22
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6.3 The characteristic of a ring
No class Nov 25-26
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6.3: # 1--4, 8, 9, 10, 14, 16, 18, 20
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Nov 29
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6.4 Maximal ideals
8.1 Polynomials over a ring
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6.4: # 1--5, 9--11, 13--15, 19, 21--25, 27--28
8.1: # 3, 5--7, 10--12, 14, 16--18
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Dec 6
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8.2 Polynomial divisibility
8.3 Factorization in F[x]
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8.2: # 1, 4, 21, 33--34
8.3: # 1, 2, 5, 6
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Dec 14th.
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Final!
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3:00--6:00 PM
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