# Modern Algebra II, Spring 2019

Syllabus

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Announcements: (in reverse chronological order)
• The Final Exam has been moved to Wednesday, 1st May, 15:00-17:30, in JWB 240. (Originally Thursday, April 25, 2019, 1:00 – 3:00 pm).
• The first midterm exam is scheduled on Tuesday, 5th March 2019.
• The due date of HW 1 is postponed to Thursday 31 January.

HW:
• 1. (due 1/31) Lang Ch 16: 6, 7. Jacobson II.3.10: 1, 2, 6, 7, 8. II.3.11: 1, 2, 3.
• 2. (due 2/12) D&F 13.1: 4-8.
• 3. (due 2/19) D&F 13.2: 1, 4, 5, (8), 9, 10, 17, 18, 19, 20, 22.
• 4. (due 2/21) D&F 13.3: 1-5.
• 5. (due 2/26) D&F 13.4: 2-6.
• 6. (due 2/28) D&F 13.5: 2-11.
• 7. (due 3/5) D&F 13.6: 4, 6, 7, 10, 11. (Optional: 12, 14, 15, 16, 17.)
• 8. (due 3/19) D&F 14.1: 4, 5, 8, 9, 10.
• 9. (due 3/21 + 3/26) D&F 14.2: 4, 6, 7, 8, 10, 17-26.
• 10. (due 4/4) D&F 14.3: 5, 7, 8, 9, 11.
• 11. (due 4/9) D&F 14.4: 1, 2, 5(a), 7, 8. (Optional:5 (b))
• 12. (due 4/11) D&F 14.5: 1, 5, 6, 10, 11.
• 13. (due 4/16) D&F 14.6: 2(ab), 3, 7, 11, 18. (Optional: Prove that an odd degree irreducible polynomial with cyclic Galois group has all roots real.)
• 14. (due 4/22) D&F 14.7: 3-7, (Optional: 8-10, 12, 13).
• 15. (due 4/25?) D&F 14.8: 1, 3, 4, 7, 9(degree changed to 5 [or 3] instead).

Continued from Modern Algebra I.
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