webpage for math 402, advanced algebra ii, spring 2017
email: bds at math dot jhu dot edu
office: krieger 301
office hours: mw 3-4
sarah (si) yu
email: syu43 at math dot jhu dot edu
office: krieger 201
office hours: tba
final exam solutions
final exam statistics: mean 41.7/60, median 47/70, high 63/70
office hours before the final: thursday may 11 2:00-4:00 pm, and by appointment
some practice problems (v2) for the final exam (including problems on material covered in the last week). final exams from previous years are here, here, and here. as with the midterm, note that the topics in the course vary from year to year; of course i'll only test you on material we've covered in class.
the final exam will be in hodson 216 from 9-noon on friday, may 12. everything from the course is fair game, but there will be a decided emphasis on material we've covered since the midterm.
midterm statistics: mean 19/40, median 16/40, high 30/40
some midterms from previous years are here, here, and here. note that some topics appeared in these which won't be on our midterm (e.g. group theory), whereas some topics which will definitely be on our midterm did not appear in these (e.g. modules over a pid).
the first midterm will cover sections 5.1, 5.2, 6.1, 7.1, and 7.2 (but nothing else in chapter 6).
the course will begin with section 5.1 in the text. knowledge of the definitions and statements (but not the proofs) of everything in sections 4.1-4.3 will be assumed in this course (i will also intersperse reminders about this material as we develop new material). i will not assume anything from sections 4.4-4.6.
- 1/30 and 2/1: section 5.1
- homework 1, due 2/6; selected solutions
5.1: 2, 8 (you may assume multiplicativity of the norm, as in example 3), 11, 13, 16, 19, 31, 33, 34
- 2/6 and 2/8: sections 5.1, 5.2
- 2/13 and 2/15: sections 6.1, 7.1
- 2/20 and 2/22: sections 7.1, 7.2
- 2/27 and 3/1: section 7.2
- 3/6 and 3/8: sections 7.2, 6.2
- 3/13: section 6.3
- 3/27 and 3/29: sections 6.4, 4.5
- 4/3 and 4/5: sections 4.5, 6.6, 8.3
- 4/10 and 4/12: sections 8.3, 10.1
- 4/17 and 4/19: sections 10.1, 10.2
- 4/24 and 4/26: sections 10.2, 10.4
- 5/1 and 5/3: sections 10.4, 9.1
mw 12:00-1:20, maryland 202
here's a guide to the (numerous) abbreviations i use when lecturing
f 12:00-12:50, maryland 202
W. Keith Nicholson, Introduction to Abstract Algebra (Fourth Edition)
the rough plan for the course is to cover some subset of chapters 5-7 and 9-11 in nicholson, with the precise choice and order of topics to be made on the fly. we will begin at the start of chapter 5. the departmental syllabus for this course is here; we will surely deviate from it in places.
homework will be assigned throughout the week and due the following monday. please staple your assignments. late assignments will not be accepted, unless you have obtained written confirmation (over email) of an extension from me in advance. you are strongly encouraged to collaborate with each other on homework, but your assignments must be written up independently and in your own words. copying is strictly forbidden.
there will be an in-class midterm on wednesday, march 15.
if you have to miss the midterm for a documented, legitimate excuse, then the corresponding component of your final grade will be calculated by prorating your final exam score. in case of sickness, a doctor's note must be obtained on or promptly after the exam date. there will be no make-up exams.
friday, may 12, 9-noon
40% homework, 20% midterm, 40% final exam
The strength of the university depends on academic and personal integrity. In this course, you must be honest and truthful. Ethical violations include cheating on exams, plagiarism, reuse of assignments, improper use of the Internet and electronic devices, unauthorized collaboration, alteration of graded assignments, forgery and falsification, lying, facilitating academic dishonesty, and unfair competition.
Report any violations you witness to the instructor. You may consult the associate dean of student affairs and/or the chairman of the Ethics Board beforehand. See the guide on "Academic Ethics for Undergraduates" and the Ethics Board Web site for more information.