MATH 504 (Spring 2008)

2007 - 08 Spring

MATH 504: Algebra II


Announcements:


Lectures: (After March 3) Tuesday: 14.40-16.30 and Thursday: 14.40-15.30. (Place: M-214)


Textbook: Thomas Hungerford, Algebra, Springer-Verlag, 1974.


Contents: Modules, homomorphisms, exact sequences, free modules, projective and injective modules, tensor products, modules over a PID. Fields, field extensions, the fundamental theorem of Galois theory, splitting fileds, algebraic closure and normality, the Galois group of a polynomial, finite fields, cyclic extensions, radical extensions, transcendence bases.

Sections 4.1, 4.2, 4.3, 4.5, 4.6, 5.1, 5.2, 5.3, 5.4, 5.5, 5.7, 5.9, 6.1.


Grading: will be based on weekly homework assignments, classroom presentation, two midterm exams and a final exam.


Done in class:

Week 1: 4.1, some of 4.2 (4 hrs)
Week 2: rest of 4.2 (2 hrs)
Week 3: 4.3 -- up to 3.10. (2 hrs), 4.5 (1 hr)
Week 4: 4.5 (2 hrs), 4.6 (1 hr)
Week 5: 4.6 (3 hrs)
Week 6: 4.6 (2 hrs), 5.1 (1 hr)
Week 7: 5.1 (2 hrs) and Midterm Exam 1
Week 8: 5.1 (1 hr), 5.2 (2 hrs)
Week 9: Appendix 1, 5.2
Week 10: 5.3
Week 11: 5.3 and Appendix (2 hrs)
Week 12: 5.4


Tentative Plan:

Week 13: 5.4
Week 14: 5.5 and Exam 2
Week 15: No lecture, because of Antalya Algebra Days.


Homework: Due on March 4: Chapter 4, Section 1: 4, 9, 11(a-c). Section 2: 4, 10, 12.
Due on March 11: Section 3: 1, 5. Section 5: 2, 3.
Due on March 18: Section 5: Remaining parts of 2, 3, also 4 and 7. Due on March 25: Section 6: 2 and correct your mistakes in earlier homeworks.


This line last updated on 9 May 2008.