| Week | Day | Section | Topic | Suggested Exercise Problems | Homework
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| 1 | January 5
January 7
January 9
| 1.1
1.2
1.3
| Division Algorithm
Divisibility
Primes and Unique Factorization
| Section 1.1: 1, 2, 5, 7, 10
Section 1.2: 1(a)--(c), 2--6, 8, 9, 16, 24
Section 1.3: 10, 14, 18, 20, 30, 32
| Set #1: posted on CCLE
due Jan. 16 (Fri)
|
| 2 | January 12
January 14
January 16
| 2.1
2.2
2.3
| Congruence and Congruence Classes
Modular Arithmetic
The Structure of Z/pZ when p is Prime
| Section 2.1: 2, 5, 6, 7, 9, 13, 14, 19, 20
Section 2.2: 14, 15, 16
Section 2.3: 5, 6, 9, 10, 17
| Set #2: posted on CCLE
due Jan. 30 (Fri)
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| 3 | January 19
January 21
January 23
| -
-
-
| Martin Luther King, Jr holiday
Review
First Midterm
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Practice Midterm #1: posted on CCLE
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| 4 | January 26
January 28
January 30
| 3.1
3.2
3.3
| Definition and Examples of Rings
Basic Properties of Rings
Isomorphisms and Homomorphisms
| Section 3.1: 4--7, 10--14, 24--28, 31, 32, 35, 45
Section 3.2: 3, 5, 6, 10, 11, 12--16, 19, 20, 22, 24, 29, 36, 41--43
Section 3.3: 5, 7--12, 14, 15, 25, 27--32, 34, 35, 41, 42
| Set #3: posted on CCLE
due Feb. 6 (Fri)
|
| 5 | February 2
February 4
February 6
| 4.1
4.1
4.2
| Polynomial Rings
The Division Algorithm
Divisibility in F[x]
| Section 4.1: 3, 5, 6, 11, 15, 16, 19, 20, 21
Section 4.2: 7, 8, 14, 15, 16
| Set #4: posted on CCLE
due Feb. 13 (Fri)
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| 6 | February 9
February 11
February 13
| 4.3
4.4
4.5
| Irreducibles and Unique Factorization
Polynomial Functions, Roots, and Reducibility
Irreducibility in Q[x]
| Section 4.3: 3, 4, 5, 7, 9, 10, 11, 12, 14, 16, 20, 22, 23
Section 4.4: 3, 4, 5, 7, 8, 13, 16, 18, 19, 24, 31, 32
| Set #5: posted on CCLE
due Feb. 27 (Fri)
|
| 7
| February 16
February 18
February 20
| -
-
-
| Presidents' Day holiday
Review
Second Midterm
| Practice Midterm #2: posted on CCLE
|
|
| 8
| February 23
February 25
February 27
| 4.5
4.6
5.1
| Irreducibility in Q[x] (cont'd)
Irreducibility in R[x] and C[x]
Congruence in F[x] and Congruence Classes
| Section 4.5: 4, 5, 7, 8, 9, 12, 13, 18, 19, 20
Section 4.6: 3, 4, 5, 8
Section 5.1: 2, 6, 8, 9, 10, 11, 12
| Set #6: posted on CCLE
due Mar. 6 (Fri)
|
| 9
| March 2
March 4
March 6
| 5.2
5.3
6.1
| Congruence Class Arithmetic
Structure of F[x]/(p(x)) when p(x) is Irreducible
Ideals and Congruence
| Section 5.2: 9, 10, 11, 12, 14, 16
Section 5.3: 2, 3, 5, 8, 9
Section 6.1: 8--11, 13, 15, 17--19, 27, 28, 31, 36, 37, 40, 44, 46
| Set #7: posted on CCLE
due Mar. 13 (Fri)
|
| 10
| March 9
March 11
March 13
| 6.2
6.3
-
| Quotient Rings and Homomorphisms
Structure of R/I when I is Prime or Maximal
Review
| Section 6.2: 3, 4, 5, 8, 9, 10, 12, 16, 17, 19, 20
Section 6.3: 3, 4, 7, 10, 11, 13, 14, 17, 18
Practice Final: posted on CCLE
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| Finals | March 18 | | Final Exam from 8:00AM to 11:00AM
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