Math 100A - Abstract Algebra I (Fall 2017)

The course meets MWF 1-1:50 in Peterson 104. For the course syllabus and policies, see the bottom of this page.

Here is a picture of my dodecahedron-icosahedron model (click here for a closer look):

the model

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All numbering refers to Artin. Listings for future dates are subject to adjustment based on how far we get in class.

Course syllabus

Math 100A/B/C is a rigorous three-quarter introduction to the methods and basic structures of higher algebra. 100A will focus on group theory. Topics include: groups, subgroups and factor (quotient) groups, homomorphisms, permutation groups, matrix groups, and some advanced topics as time permits (e.g., the Sylow theorems).

UCSD also offers a two-quarter algebra sequence, Math 103A/B (offered both fall/winter and winter/spring). Between the two, Math 100 offers a greater emphasis on concepts and mathematical rigor, as well as some advanced topics not covered in Math 103 (e.g., Galois theory). Math 100 is recommended for students planning further study in pure mathematics, while Math 103 is recommended for most other students.

Students may not receive credit for both Math 100A and Math 103A; however, 100A is a valid prerequisite for 103B. On the other hand, 103A is not a valid prerequisite for 100B without permission of the instructor.

I will be teaching the entire 100 sequence this year. This fall, there is also a second lecture of 100A available; both 100A lectures are equally valid prerequisites for 100B.

Instructor: Kiran Kedlaya, kedlaya [at] ucsd [etcetera].

TA: Zonglin Jiang, zojiang [at] ucsd [etcetera].

Lectures: MWF 1:00p-1:50p in Peterson 104. No lectures on the following university holidays: Friday, November 10 (Veterans Day); Friday, November 24 (day after Thanksgiving).

Sections: Tue 2:00p-2:50p, 3:00p-3:50p in APM 5402. Please attend your assigned section, or see the math front office to switch.

Office hours:

Text: Algebra by Michael Artin, second edition (required). The hardcover, softcover, and eBook versions of the text are all interchangeable. For 100A, only chapters 1-7 will be used; the same text will be used for 100B and 100C.

Prerequisites: Math 31CH or Math 109 or consent of instructor.

Homework: Weekly assignments. In general, problem sets will be posted after Monday's lecture, to be due on Wednesday of the following week. To receive credit, homework must be submitted in the dropbox in the basement of APM no later than 5pm on the due date. No extensions will be granted; see below for grading policies.

Midterm exams: in class on Monday, October 23 and Wednesday, November 15. No makeup exams will be given; see below for exam policies.

Final exam: Monday, December 11, 2017, 11:30am-2:30pm, in the lecture room (Peterson 104). No makeup exam will be given. See UCSD exam policies as well as course-specific policies below.

Grading: 30% homework; 20% first midterm; 20% second midterm; 30% final exam. The lowest homework assignment will be dropped. The lowest midterm score will be replaced with the final exam score if this is to your benefit.

The conversion of raw percentages into letter grades will be made in order to maintain a grade distribution comparable with historical averages for this course. However, the following minima are guaranteed:
Percentage 97 93 90 87 83 80 77 73 70
Minimum grade A+ A A- B+ B B- C+ C C-
Additionally, any score in at least the 90th percentile or higher is guaranteed an A grade, while any score in the 70th percentile or higher is guaranteed a B grade.

Notwithstanding the above, to receive a passing grade, you must fulfill the following conditions.

Please access TritonEd for homework scores, exam scores, and final grades. (No other material will be posted there.)

Policies

No extensions will be given for homework assignments, but the lowest homework assignment will be dropped. This applies even to students who get in off the waitlist; such students should submit homework while still on the waitlist, which will be graded and returned on schedule. (Exception: students who transfer from the other 100A lecture will receive credit for homework submitted to that course.)

At the top of each homework assignment, you must specify all outside resources that you consulted, or write "None" if none were used. You do not need to report use of the main textbook, any additional notes distributed via this web site, your own notes from lecture, or consultations with the professor or TA (including discussions during sections or office hours). You do need to report use of any other textbooks, any materials found online (in a precise fashion; e.g., for Wikipedia you must specify particular articles), and any consultation with anyone other than the professor or TA (including study group partners). If you collaborate with other students in the class, you must write up your solutions in your own words; copying solutions verbatim from another student or other source is a violation of academic integrity (see below).

All exams will be closed-book: no outside materials may be consulted. This includes the textbook, lecture notes, the Internet, and anyone other than the exam proctor. We reserve the right to:

Exam accommodations will be made only in cases mandated by university policies:

All accommodation requests must be made with sufficient advance notice, preferably by the end of week 1. No accommodations are available for homework assignments.

No makeup exams will be given. A missed exam will be scored 0 and handled in accordance with the course grading scheme (see above).

A request for an Incomplete grade will only be granted in accordance with UCSD policies. In particular, you must be on track to receive a passing grade based on your submitted homework and midterm results (without the final exam substitution). To convert an incomplete into a final grade, you must provide to the instructor proper documentation of the circumstances leading to the Incomplete, and arrange with the instructor to complete all outstanding course requirements no later than the end of the subsequent quarter.

Violations of UCSD's academic integrity policies (cheating, plagiarism, etc.) will be handled by the instructor using UCSD administrative measures. In addition, the instructor reserves the right to assign a 0 score to any homework or exam affected by a violation. If you suspect a violation, please bring it to the attention of the instructor and/or TA immediately.