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Mathematics 302: Abstract Algebra

**Instructor:** Jonathan Smith, 496 Carver, 4-8172
**e-mail:** jdhsmith__AT__math__DOT__iastate__DOT__edu (substitute punctuation)

**Grading:** 10% for each of 2 graded homework assignments,

20% for each of 2 in-class tests,
40% for the final examination.

**Study plan:** reserve 1 - 2 hours for homework between each pair
of classes. Successful

performance in the class depends critically on completion of the homework
assignments.

**Textbook:** J.R. Durbin, Modern Algebra, 4th ed., Wiley, ISBN 0-471-32147-8

**Syllabus:** Rings and Fields - most of Chapters VI - XI.

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Homework Assignments

**1/8 for 1/10:** Section 24: 3, 4, 8, 9, 10, 11, 20, 22.

**1/10 for 1/12:** Section 24: 14, 15. Section 25: 5, 6, 7,
8, 16, 22, 23.

**1/12 for 1/17:** Section 25: 1 - 4, 10, 12, 14, 25.

**1/17 for 1/19:** Section 26: 1 - 10.

**1/17 for 1/22 (hand-in):** Section 24: 16. Section 26: 11,
12, 23.

**1/19 for 1/22:** Section 27: 2, 3, 10.

**1/22 for 1/24:** Section 38: 1-3, 10, 17, 18.

**1/26 for 1/29:** Section 39: 1, 3, 4, 7, 8, 12.

**1/26 for 1/31 (graded):** 24.17, 27.20(a), 38.22, 39.2.

**1/31 for 2/2:** Section 27: 14, 18, 19, 20(b), 21, 25.

**2/5 for 2/7:** Section 28: 1 - 6, 8, 12 - 14.

**2/7 for 2/12:** Section 29: 3, 4, 8.

**2/12 for 2/14:** Section 30: 6, 8, 9, 11.

**Practice Test #1:** 24.18, 24.21, 38.24, 29.6.

Click here for Test #1 in Portable
Document Format

**2/19 for 2/21:** Section 31: 1 - 4, 8.

**2/21 for 2/23:** Section 31: 16, 14, 17 - 19.

**2/23 for 2/26:** Section 32: 1, 15, 16, 13, 17, 19.

**2/26 for 2/28:** Section 33: 19, 20, 22, 23, 28, 31.

**2/28 for 3/2:** Section 33: 24, 25, 34, 35. Section 54:
14, 15.

**3/2 for 3/5:** Section 25: 11, 21. Section 26: 14. Section
27: 23. Section 30: 3. (Subtract 3 to get section # in 3rd
Ed.)

**3/5 for 3/7:** Section 34 (Defn. & elem. props. of polynomials):
1, 3(a)(c), 5(a)(d), 6, 9, 10, 14.

**3/7 for 3/9:** Section 35: 1 - 6, 16, 15.

**3/9 for 3/19:** Section 35: 7, 8, 12, 19, 20.

**3/19 for 3/21:** Section 36: 1 - 4.

**3/19 for 3/23 (graded):** 31.5, 31.13, 34.8, 35.14.

**3/21 for 3/23:** Section 36: 5 - 8.

**3/23 for 3/26:** Section 36: 9, 11, 19, 20.

**3/28 for 3/30:** Section 40 (Quotient rings of *F*[*x*]
) : 7, 8, 12 - 15.

**3/30 for 4/2:** Section 40: 2, 3, 16.

**4/2 for 4/4:** Section 43 (Finite fields) : 6 - 8.

**4/4 for 4/6:** Section 42: 4 - 7, 9.

**4/6 for 4/9:** Catch up with earlier assignments. Also:

Show there is no rational number *l* with 3*l*^{2}
= 2.

**4/9 for 4/11:** Section 42: 1, 8, 11.

**Practice Test #2: **35.17, 39.12, 40.10, 43.7(b).

Click here for Test #2 in Portable
Document Format

**4/16 for 4/18:** Section 44 (Roots of a polynomial) : 1 - 6.

**4/18 for 4/20:** Section 58 (Introduction to algebraic coding)
: 2 - 6.

**4/20 for 4/23:** Section 59: 1, 3, 4, 7.

**Review problems part II: **34.12, 35.9, 36.12, 40.4, 43.3, 42.2,
44.7, 59.8.

**Review problems part I:** 24.13(d), 25.13, 26.13, 27.13, 38.11,
39.6, 28.10, 31.26.

Click here for Final in Portable
Document Format