Math 412 Section 2: Reading, practice problems and assignments for Section 2

Text: Hungerford, "Abstract Algebra: an introduction," second edition. Below are the individual reading and practice problems, due on the date listed. These problems are not to be turned in. The graded group assignments, which are the same for sections 1 and 2 and are due each friday starting Sept 18, can be found here, on the general Math 412 website.

SUPPLEMENTAL ENRICHMENT PROBLEMS FOR STUDENTS WHO WANT TO UNDERSTAND MORE ABSTRACT PRINCIPALS UNDERLYING THE COURSE:
  • Read 6.1 Do problems 6.1 #2, 7a, 7c, 13, 15
  • Read 6.2 Do problems 6.2 #1, 3, 4, 5, 6
  • Read 6.3 Do problems 6.3 #1, 3, 4, 5, 6
  • For each section, you may read and turn in the problems for that section (or two or all three). I will grade them and we can discuss. Chapter 6 describes a common generalization of the two main examples of rings (and congruence) we've studied so far, so for those of you who enjoy the abstract stuff, reading chapter 6 may actually help solidify your understanding of the previous material. Thus, if you are totally on top of the course (have done all assigned A and B problems, and find them easy(ish)), reading Chapter 6 and doing the exercises above is not a bad way to supplement your studying for the exam.

    If anyone would like a similar additional assignment on material related to groups (constructing ring quotients G/K similar to ring quotients R/I from Chap 6), let me know.

    FINAL EXAM: Dec 17 10:30-12:30 in 1200 CHEM. Will cover Chap 1,2,3, 4 (except 4.5), 5, 7.1--7.5, and 7.9 (up to section called "alternating group). The exam will emphasize material from Chapter 7 but will cover everything.
    REVIEW MATERIALS:
  • A true-false practice sheet on Chapter 7, and on Chapter 4 and 5
  • Vocabulary Sheet for Chap 7
  • Old Exams: Exam 1 , Exam 2 ,
  • Quizzes: Quiz 1 , Quiz 2 , Quiz 3 , Quiz 4 , Quiz 5 , Quiz 6 , Quiz 7 , Quiz 8, Quiz 9 , Quiz 10, Quiz 11 ,
    OFFICE HOURS DURING EXAM WEEK: Monday 12-1 (as usual), Review Q/A Session Tuesday 10-12 in East Hall 3096, and by appointment. Students from either section are welcome. Also: you are encouraged to also attend the other instructor's review session tuesday 6-8 (check his website for location).