M302: Abstract Algebra II

Mathematics 302: Abstract Algebra II

Instructor: Jonathan Smith, 496 Carver, 4-8172 (voice mail)

e-mail: jdhsmithATiastateDOTedu (substitute punctuation)

Office Hours: Mon. 11 am, 2.10pm; Wed. 11 am; Fri. 11am (subject to change).

Finals Week Office Hours: Mon. 1-2pm; Wed. 3.45-4.45pm; Thu. 9-9.30am.

Grading: 10% for each of three graded homework assignments, 20% for each of two in-class tests, and 30% for the final (9.45-11.45am, Thu., 5/3).

Click here for information about special accommodations.

Click here for tally of points earned.

Textbook: J.D.H. Smith, Introduction to Abstract Algebra, Chapman and Hall/CRC, 2008. ISBN 978-1-4200-6371-4. Library reserve (pending): QA162 S62 2009.
Click here for errata/addenda in Portable Document Format.

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.

Communication devices must remain switched off during the class periods and final.

Syllabus: Rings and fields, selected topics from Chapters 6 to 8.

Homework Assignments

Click here for Practice Final in PDF
4/18 for 4/20: Complete reading of Section 8.8.
Third graded homework due 4/20: Three questions from Section 8.9, Exercises 30, 31, 34, 35(c-e), 36.
4/16 for 4/18: Read Section 8.8 through Th. 8.37; do Section 8.9, page 209, Exercise 37.
4/13 for 4/16: Complete reading of Section 8.7; do Section 8.9, pages 209-10, Exercises 35(a,b), 40.
4/11 for 4/13: Read Section 8.7 through Prop. 8.33; do Section 8.9, pages 208-9, Exercises 32, 33.
4/9 for 4/11: Complete reading of Section 8.6; do Section 8.9, pages 208, 210, Exercises 29, 41.
4/6 for 4/9: Read Section 8.6 through Ex. 8.27; do Section 6.10, pages 151-2, Study Project 1(a-b), (d-h). Also, explain directly why matrix transposition gives an isomorphism from the ring C to itself.
Click here for Practice Test #2 in PDF
3/28 for 3/30: Read Section 8.5; do Section 8.9, page 208, Exercises 25, 27, 28.
3/26 for 3/28: Read Section 8.4; do Section 8.9, pages 207-8, Exercises 16-19, 21-24.
3/23 for 3/26: Complete reading of Section 8.3; do Section 8.9, page 207, Exercises 14, 15.
3/19 for 3/23: Read Section 8.3 through page 191; do Section 8.9, page 207, Exercises 10-13.
Second graded homework due 3/19: Three questions from Section 1.9, Exercise 47; Section 7.9, Exercise 30; Section 7.10, 3(c,e), 4; Section 8.9, 8.
3/7 for 3/9: Read Section 1.8, and Section 8.2 through page 189; do Section 8.9, page 206, Exercises 5, 6.
3/5 for 3/7: Read Sections 1.7 and 8.1; do Section 8.9, page 206, Exercises 3, 4.
3/2 for 3/5: Read Section 8.1 through page 186; do Section 8.9, page 206, Exercises 1, 2.
2/27 for 3/2: Complete Study Project 1, p. 182.
Click here for Practice Test #1 in PDF
2/22 for 2/24: Read Section 7.8; do Section 7.9, page 181, Exercise 28.
2/20 for 2/22: Read Section 7.7; do Section 7.9, page 181, Exercises 23-5.
2/17 for 2/20: Complete reading of Section 7.6; do Section 7.9, pages 180-1, Exercise 22.
2/15 for 2/17: Read Section 7.6 through Ex. 7.38; do Section 7.9, page 180, Exercises 20, 21.
2/13 for 2/15: Complete reading of Section 7.5; do Section 7.9, page 180, Exercise 19.
2/10 for 2/13: Read Section 7.5 through p.168; do Section 7.9, pages 179-180, Exercises 17, 18.
2/8 for 2/10: Complete reading of Section 7.4; do Section 7.9, page 179, Exercises 14-16.
2/3 for 2/6: Read Section 7.4 through page 165; do Section 7.9, page 179, Exercise 13, and Study Project 1(a),(b), p. 182.
2/1 for 2/3: Read Section 7.3; do Section 7.9, pages 178-9, Exercises 8, 9, 12.
First graded homework due 2/3: Three questions from Section 6.9, Exercises 33, 44, 45; Section 7.9, Exercises 3, 11.
1/30 for 2/1: Read Section 7.2; do Section 7.9, page 178, Exercise 7.
1/27 for 1/30: Read Section 7.1; do Section 7.9, page 178, Exercises 1, 2, 4-6.
1/25 for 1/27: Read Sections 6.7, 6.8; do Section 6.9, pages 149-50, Exercises 36-38, 40-42.
1/20 for 1/23: Read Section 6.6; do Section 6.9, page 149, Exercises 34, 35.
Zeroth graded homework due 1/20: Three questions from Section 6.9, Exercises 13, 15, 17, 23, 24.
1/18 for 1/20: Read Section 6.5; do Section 6.9, page 149, Exercises 30-32.
1/13 for 1/18: Read Section 6.4; do Section 6.9, pages 148-9, Exercises 25-29 ("ring kernel" means "group kernel").
1/11 for 1/13: Read Sections 6.2, 6.3; do Section 6.9, pages 147-8, Exercises 8, 14, 16, 20, 21.
1/9 for 1/11: Read Section 6.1; do Section 6.9, page 147, Exercises 1-5.