M505: Abstract Algebra II

Mathematics 505: Abstract Algebra II

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

e-mail: jdhsmithATiastateDOTedu (substitute punctuation)

Office Hours: Mon. 11 am, 3.10 pm; Wed., Fri. 11 am (subject to change).

Special office hours Monday, 5/4 and Thursday, 5/7, 1.30-2.30pm.

Grading: based on three graded homework assignments (45%), mid-term (25%), and final (30%; Fri 5/8, 9.45-11.45 am).

Click here for information about special accommodations.

Click here for tally of points earned.

Textbooks:

J.D.H. Smith, Introduction to Abstract Algebra, Chapman and Hall/CRC, 2008.
ISBN 978-1-4200-6371-4.
Click here for errata/addenda in Portable Document Format.
Selected chapters (to be available online) from J.D.H. Smith, Topics in Advanced Algebra, OWPW, Warsaw, 2013.
ISBN 978-83-7814-158-7.
For reference (on reserve in Parks Library): J.D.H. Smith and A.B. Romanowska, Post-Modern Algebra, John Wiley and Sons, New York, NY, 1999.
ISBN 978-0-471-12738-3.

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.

Additional Mathematics course policies

Syllabus: Fields, categories, groups, modules, lattices, algebras.

Assignments

Click here for the Practice Final in Portable Document Format.

4/24 for 4/27: Read Sections 2.1, 2.2 of Continuity; do Exercise 12.

4/22 for 4/24: Read Sections 1.2, 1.3 of Continuity; do Exercises 4, 7-9.

4/20 for 4/22: Read Section 1.1 of Continuity; do Exercises 1-3.

4/17 for 4/20: Read Sections 2.1.1, 2.1.2, 2.2 of Limits; do Exercises 11-13, 17, 18.

Click here for the Third Graded Homework in Portable Document Format (due 4/17).

4/15 for 4/17: Read Section 1.2 of Limits; do Exercise 10.

4/13 for 4/15: Read Section 1.1.4 of Limits; do Exercises 3-9.

4/10 for 4/13: Read Sections 1.1.2, 1.1.3 of Limits.

4/8 for 4/10: Read Section 1.1.1 of Limits; do Exercises 1, 2. Also review Exercise 15 of Structural specifications.

4/6 for 4/8: Read Section 2.3 of Structural specifications; do Exercises 20-24.

4/3 for 4/6: Read Sections 2.1-2.2 of Structural specifications; do Exercises 14-19.

4/1 for 4/3: Read Sections 1.3, 1.4 (excluding the proof of Th. 1.14) from Structural specifications; do Exercise 12.

3/30 for 4/1: Read Section 1.2 of Structural specifications; do Exercises 8-11.

3/27 for 3/30: Read Section 1.1 of Structural specifications; do Exercises 1-7.

Click here for the Practice Midterm in Portable Document Format.

3/13 for 3/23: Read Section 2.4 of Functors and adjunctions; do Exercises 19-21.

3/11 for 3/13: Read Section 2.3 of Functors and adjunctions; do Exercises 16-18.

3/9 for 3/11: Read Section 2.2 of Functors and adjunctions; do Exercises 14, 15.

3/6 for 3/9: Read Section 2.1 of Functors and adjunctions; do Exercises 8-12.

3/4 for 3/6: Read Section 1.3 of Functors and adjunctions; do Exercises 6, 7.

3/2 for 3/4: Read Sections 1.1-1.2 of Functors and adjunctions; do Exercises 1-5.

2/27 for 3/2: Read Section 2.3 of Linear mathematics; do Exercises 25-27.

Click here for the Second Graded Homework in Portable Document Format (due 2/27).

2/25 for 2/27: Read Section 2.2 of Linear mathematics; do Exercises 21-24.

2/23 for 2/25: Read Sections 1.1, 1.2, 2.1 of Linear mathematics; do Exercises 1, 4, 7, 11, 13, 19.

2/20 for 2/23: Read Chapter 2 of Free groups and monoids; do Exercises 14-20.

2/18 for 2/20: Read Sections 1.3, 1.4 of Free groups and monoids; do Exercises 8-13.

2/16 for 2/18: Read Sections 1.1, 1.2 of Free groups and monoids; do Exercises 1-7.

2/13 for 2/16: Read Section 2.5 of Categories; do Exercises 23-25.

2/11 for 2/13: Read Section 2.4 of Categories; do Exercises 18, 20, 21.

2/9 for 2/11: Read Sections 2.1-2.3 of Categories; do Exercises 12, 14-17.

2/6 for 2/9: Read Sections 1.3, 1.4 of Categories; do Exercises 7-11.

2/4 for 2/6: Read Sections 1.1, 1.2 of Categories; do Exercises 1, 4, 5, 6.

2/2 for 2/4: Read IAA Section 7.7 and Section 7.10, Study Project 1.

Click here for the First Graded Homework in Portable Document Format (due 2/2).

1/28 for 1/30: Read IAA Section 8.8; do Section 8.9, pages 209-210, Exercises 37, 38.

1/26 for 1/28: Read IAA Section 8.7; do Section 6.9, page 150, Exercises 44, 45, and Section 8.9, pages 209-10, Exercises 35(a,b), 40.

1/23 for 1/26: Complete reading of IAA Section 8.6; do Section 8.9, pages 208, 210, Exercises 29, 41.

1/21 for 1/23: Read IAA Section 8.6 through Ex. 8.27; do Section 8.9, page 208, Exercise 31.

1/16 for 1/21: Read IAA Section 8.5; do Section 8.9, page 208, Exercises 20, 25, 27, 28.

1/14 for 1/16: Complete reading of IAA Section 8.4; do Section 8.9, page 208, Exercises 21-24.

1/12 for 1/14: Read IAA Section 8.4 through page 194; do Section 8.9, page 207, Exercises 16-19.