Mathematics 505: Abstract Algebra IIInstructor: 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).
Grading: based on three graded homework assignments (45%), mid-term (25%), and final (30%; Fri 5/8, 9.45-11.45 am).
Textbooks:
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.
Syllabus: Fields, categories, groups, modules, lattices, algebras. AssignmentsClick 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. |