Mathematics 504: Abstract Algebra IInstructor: Jonathan Smith, 496 Carver, 4-8172 (voice mail) e-mail: jdhsmithATiastateDOTedu (substitute punctuation) Office Hours: Mon. 10am, 11 am, 3.10 pm; Wed., Fri. 10am (subject to change). Also Tue., 12/16, 10.30am-1pm.
Grading: based on three graded homework assignments (45%), mid-term (25%), and final (30%; Wed., 12/17, 2.15-4.15pm).
Textbook: J.D.H. Smith, Introduction to Abstract Algebra, Chapman and Hall/CRC, 2008.
ISBN 978-1-4200-6371-4.
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:
Chapters 1 - 7, 8 (Sections 8.1-8.3), 9, 10.
AssignmentsClick here for the Practice Final in Portable Document Format.12/3 for 12/5: Complete working Study Project 3 from Section 10.10. 12/1 for 12/3: Complete reading Section 10.8, do Exercises 4.9: 39; 10.9: 38, 41, 42. 11/21 for 12/1: Read Section 10.8 through Cor. 10.52 (Cauchy's Theorem); work Study Project 4 from Section 10.10. 11/19 for 11/21: Read Section 10.7, do Exercises 10.9: 31, 33, 34, 36, 37, 39. 11/17 for 11/19: Read Sections 10.5-10.6, do Exercises 10.9: 26 - 29. 11/14 for 11/17: Read Section 10.4, do Exercises 10.9: 22, 24, 25. Click here for the Third Graded Homework in Portable Document Format (due 11/14). 11/12 for 11/14: Read Sections 10.2-10.3, do Exercises 10.9: 16 - 19. 11/10 for 11/12: Read Section 10.1, do Exercises 10.9: 8 - 12. 11/7 for 11/10: Read Section 9.8, do Exercises 9.9: 35 - 39. 11/5 for 11/7: Read Section 9.7, do Exercises 9.9: 31 - 34. 11/3 for 11/5: Read Section 9.6, do Exercises 9.9: 27 - 30. 10/31 for 11/3: Read Section 9.5, do Exercises 9.9: 20 - 26. 10/29 for 10/31: Read Sections 9.3-9.4, do Exercises 9.9: 8 - 10, 14 - 16, 18, 19. 10/27 for 10/29: Read Sections 9.1-9.2, do Exercises 9.9: 1 - 5, 7. Click here for the Practice Midterm in Portable Document Format. 10/20 for 10/22: Read Section 8.3, do Exercises 8.9: 10, 12, 14, 15. 10/17 for 10/20: Read Section 8.2, do Exercises 8.9: 5, 6, 7 (b) => (a), 8. 10/15 for 10/17: Read Section 8.1, do Exercises 8.9: 1 - 4. 10/13 for 10/15: Read Sections 7.6, 7.8, and this supplement, do Exercises 7.9: 20, 22, 26, 29. 10/10 for 10/13: Read Sections 7.4-7.5, do Exercises 7.9: 13, 15, 17, 19. Click here for the Second Graded Homework in Portable Document Format (due 10/10). 10/8 for 10/10: Read Section 7.3 and the supplement on maximal ideals and Zorn's Lemma. Do the exercises from the supplement, and Exercises 7.9: 8, 9, 11. 10/6 for 10/8: Read Sections 7.1-7.2, do Exercises 7.9: 3, 4, 5 and these supplementary exercises. 10/3 for 10/6: Read Sections 6.7-6.8, do Exercises 6.9: 36, 37, 40, 41. 10/1 for 10/3: Read Sections 6.4-6.6, do Exercises 6.9: 22, 23, 29, 31, 34. 9/29 for 10/1: Read Sections 6.1-6.3, do Exercises 6.9: 1, 2, 6, 7, 8. 9/26 for 9/29: Read Sections 5.5-5.6, do Exercises 5.7: 29, 30, 36, 37, 41. 9/24 for 9/26: Read Sections 5.2-5.4, do Exercises 5.7: 16, 17, 19, 24, 25. 9/22 for 9/24: Read Section 5.1, do Exercises 5.7: 3 - 6, 9. 9/19 for 9/22: Read Sections 4.7-4.8, do Exercises 4.9: 17, 36, 37, 40, 42. First Graded Homework (due 9/19): Three questions from Exercises 2.8: 38, 47; 3.6: 11, 18. [Also do 2.8, 46 if you use it for 2.8, 47.] 9/17 for 9/19: Read Sections 4.4-4.6, do Exercises 4.9: 13, 19, 30. 9/15 for 9/17: Read Sections 4.1-4.3, do Exercises 4.9: 4, 7, 8, 12. 9/12 for 9/15: Read Sections 3.4-3.5, do Exercises 3.6: 13, 14, 15. 9/10 for 9/12: Read Sections 3.1-3.3, do Exercises 3.6: 4, 7, 8, 10. 9/8 for 9/10: Read Section 2.7, do Exercises 2.8: 36, 39, 41, 42, 43. 9/5 for 9/8: Read Sections 2.5-2.6, do Exercises 2.8: 26, 28, 34, 35. Click here for the Zeroth Graded Homework in Portable Document Format (due 9/5). 9/3 for 9/5: Read Sections 2.1-2.4, do Exercises 2.8: 7, 8, 10, 13. 8/29 for 9/3: Read Sections 1.7-1.8, do Exercises 1.9: 36 (note correction), 43, 45. 8/27 for 8/29: Read Sections 1.5-1.6, do Exercises 1.9: 26, 27, 28, 32, 34. 8/25 for 8/27: Read Sections 1.1-1.4, do Exercises 1.9: 11, 14, 17, 19, 20, 21. |