Math 230A-B-C--Algebra, Fall 2002-Spring 2002 ********************************************************** Instructor: Daqing Wan Meeting Times: MWF 1:00-1:50 (Fall Quarter, 2002) Textbook: Algebra by M. Artin Location: RH Room 184 Office Hours: 3-4 on Monday, Wednesday and by appointment Office Phone: (949)-824-7013 Email: dwan@math.uci.edu ************************************************************* This sequence of graduate algebra courses intends to cover the basic algebraic material that is needed for further graduate study in mathematics. An additional goal is to prepare for the algebra qualifying examination. The final grade of this course will be based on one final exam (80%) as well as active class participations/homework. The problems on the final exam will come from the suggested homework problems as well as examples in the lectures. ************************************************************* Suggested Homework Problems ************************************************************** Fall 2002 Chapter 2: 1.11, 2.2, 2.4, 2.10, 2.11, 2.17, 3.4, 3.9, 3.12, 4.11, 4.15, 4.18, 4.19, 4.20, 4.21, 4.22, 5.2, 5,6, 5.7, 6.3, 6.5, 6.7, 6.9, 6.10, 7.1, 7.3, 7.6, 8.4, 8.7, 8.8, 8.9, 9.4, 9.6, 9.8, 10.1, 10.6, 10.10, 10.11. Chapter 3: 2.7, 2.8, 2.9, 2.12, 2.15, 2.16, 3.7, 3.14, 3.16, 4.11, 5.2, 5.6, 6.1, 6.2, Misc Problems: 3, 4. Chapter 4: 1.8 2.1, 2.2 3.2, 3.3, 3.6, 3.9, 3.10, 4.2, 4.5, 4.7, 4.8, 4.13-15, 6.2-4, 6.8-10, 6.14 5.2, 5.4, 5.6-8, 5.11, Misc Problems: 2, 3, 6, 11, 12, 13, 15, 16, 18. Chapter 5. 5.1, 5.4, 5.5, 5.7, 5.8, 5.12, 6.1, 6.2, 6.4, 6.7, 7.5, 7.6, 8.2, 8.4, 8.5, Misc Problems: 2, 7,8,9. Chapter 6. 1.1-3, 1.6, 1.9, 1.12, 1.14, 3.1-4, 3.6-10, 3.12-14, 4.1-3, 4.7, 4.9, 4.13-17, 7.1-7.4, 8.2-8.4, 8.6-8.7, 8.15-16. Misc Problems: 7, 8. Chapter 8. 1.1-3, 1.5-8, 1.11, 2.1-2.5, 4.1, 4.3, 4.4, 8.1-3, 8.6-7, 8.10, 8.13-14, Misc Problems: 1-3. Chapter 9. 1.1-4, 1.7-9, 2.2-7, 3.1-2, 3.4, 4.2, 4.4-6, 5.2-3, 5.9-13, 6.3, 6.5, 6.9, 8.3-5, 8.7, 9.1, 9.3, 9.4, 10.1-4. ************************************************* Winter 2003 Chapter 10. 1.2-1.9, 1.12-14, 2.6-7, 3.6-11, 3.15-20, 3.22-24, 3.26-30, 3.34, 4.2-4.3, 4.6-8, 5.1-7, 5.13-16, 6.2-6, 6.8-9, 7.2-3, 7.5-7, 7.9-13. Chapter 11: 1,6, 1.8-13, 2.1-2, 2,7-10, 3.2, 3.4-5, 4.1-4, 4.6-8, 4.10, 4.16, 5.2-3, 5.5-8, 6.2-5, 6.7-9, 7.3-4, 7.8-9, 8.1-3, 8.6-7, 9.2-4, 9.7-10, 10.1, 10.3, 11.1, 11.4, 12.3-4, 12.7. Chapter 12: 1.1, 1.4, 1.6-10, 2.1-2, 2.4-7, 4.3-7, 4.10-11 5.2-5.8, 6.3, 6.5, 6.7-9, 7.1-6, 7.11-19, 7.24-26, 8.1, 8.6, Misc. 6-11. Chapter 13: 1.3-4, 2.1, 2.3-5, 3.1-3, 3.6-9, 3.11-12, 5.1-4, 6.1-3, 6.7-11, 6.13-15, 8.1-3, Misc. 1-3, 6-7. ******************************************************* Spring 2003 Chapter 14: 1.3, 1.5-8, 1.10-11, 1.15-18, 1.20, 2.1-4, 2.6, 3.4, 3.6, 3.9, 3.11, 4.2-3, 4.5, 5.2-4, 5.7-12, 6, 15-16, 7.1-5, 8.1-4, 8.9, Misc. 1, 3-5, 10, 12, 13. *************************************************** Chapter 7. 1.1-6, 2.2-4, 2.6-12, 2.15, 2.17, 3.2-4, 3.10-11, 4.2-4.5, 4.8-4.11, 4.16-4.18, 5.1-5.5, 5.7-5.8, 5.12-5.13, 5.15, 7.1-7.6, 7.9-7.12, 8.1, 8.3-4, 8.7.