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Home
General
Information
Syllabus
Exams
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Syllabus(subject to change)
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Lecture
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Day
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Topic
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Chapter
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Homework
Assignments
has
to be uploaded on BB not later then 10:30 AM
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1
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Aug 25
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The integers
/ Introduction to abstract algebra
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Ch. 0, 1
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2
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Aug 27
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Groups and
subgroups
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Ch. 2, 3
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Ch1 (pg.
35-38): 1, 2, 7, 13
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3
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Sept 1
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Cyclic groups
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Ch. 4
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Ch2 (pg. 52-55): 3, 5,
18, 28
Ch3 (pg. 64-69): 10, 13,
22, 24
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4
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Sept 3
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Permutation
groups
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Ch. 5
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Ch4
(pg. 81-86): 1, 3, 8,22, 32, 49, 59
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5
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Sept 8
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Isomorphisms,
External direct product
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Ch. 6, 8
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Ch5: 9, 17, 25, 28
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6
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Sept 10
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Cosets,
Lagrange Theorem
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Ch. 7
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Ch6:
4, 18, 20, 29,39, 42
Ch8:
8, 13, 27, 28,44, 47, 53
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7
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Sept 15
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Normal
subgroups and Factor groups
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Ch. 9
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Ch7:
13, 17, 25, 27
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8
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Sept 17
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Group
Homomorphisms
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Ch. 10
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Ch9: 1, 4 [Note: you only
need know the definition of normal subgroup]11, 14, 25
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9
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Sept 22
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Fundamental
Theorem of finite abelian groups
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Ch. 11
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Ch10:8,24,28,56
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10
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Sept 24
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Further
topics on Groups
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Ch 24
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Ch11: 10, 12
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11
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Sept 29
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Rings
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Ch.12,
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Ch24:1,3,7
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12
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Oct 1
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Practice
Midterm 1.
Review
groups
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Part 2
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13
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Oct 6
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Midterm
1 (covering group theory)
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14
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Oct 8
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Integral
domains
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Ch.13
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Ch12: 6, 15, 21, 28, 33,
40
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15
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Oct 13
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Ideals and
Factor rings
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Ch. 14
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Ch13: 5, 8, 9, 10, 26,
28, 38, 45
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16
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Oct 15
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Ring
Homomorphisms
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Ch. 15
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Ch14:
6, 10, 37, 38, 39
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17
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Oct 20
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Polynomial
Rings
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Ch. 16
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Ch 15: 10,
15, 28, 42, 44
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18
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Oct 22
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Factorization
of Polynomials
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Ch. 17
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Ch16: 11, 13, 18, 21, 42
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19
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Oct 27
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Divisibility
in integral domains
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Ch. 18
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Ch17: 7, 11,
14, 23, 10, 15, 16, 22
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20
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Oct 29
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Vector Spaces
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Ch. 19
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Ch18: 8, 13, 15, 17, 30,
35
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21
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Nov 3
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Extension
Fields Practice
Midterm 2.
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Ch. 20
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Ch19: 5, 12, 14, 22, 26
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22
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Nov 5
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Midterm
2 (covering ring theory)
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23
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Nov 10
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Algebraic
Extensions
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Ch. 21
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Ch20: 5, 7, 12, 19,
25,29, 31, 32, 34
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24
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Nov 12
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Finite Fields
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Ch.
22
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Ch21: 3, 8, 14, 24, 33
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25
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Nov 19
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Further
topics on Fields
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Ch22: 4, 9, 10, 24
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26
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Nov 17
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Topics
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27
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Nov 19
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Topics
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28
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Nov 24
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Thanksgiving
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No
class is session
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29
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Nov 26
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Thanksgiving
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No
class is session
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30
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Dec 1
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Review
Practice
Final.
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31
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Dec 3
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Review
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