MAS5312 Section 17110 – Introduction to Algebra 2 – Spring 2020

  • Instructor: Dr. Richard Crew, 404 Little Hall
  • Office hours: M5, T4, W6
  • Office phone: (352)-294-2300
  • Email: rcrew@ufl.edu

Course Description

  • Course Meeting Time: MWF 3 in Little Hall 223

This is the first semester of a two-semester sequence to prepare graduate students in the Mathematics Department for the first-semester algebra exam. The text is the latest edition of Dummit and Foote’s Abstract Algebra and we will cover a large part of chapters 7 to 13: rings, modules, linear algebra and modules over a principal ideal domain.

Prerequisites

MAS5311 or equivalent (obviously).

Course Structure and Grading

The course will be given in the traditional lecture format. The course grade will be determined by 3 hour exams during the semester and weekly homework. Each exam contributes 25% to the final grade and the sum total of the homework problems will contribute the remaining 25%. Homework will be graded for (1) completeness, and (2) correctness of selected problems. Letter grades will be assigned as follows: A, 90%-100%; B, 80%-89%; C, 70%-79%; D, 60%-69%, E, 59% or less. Plus or minus grades will be given to scores within a few points of the grade boundary. This scale will possibly be changed after the second exam.

Tentative exam dates: February 7, March 20, April 22.

Course Policies

  • The student should be familiar with the University’s Academic Honesty Policies.
  • Attendance will not be taken, but it is the student’s responsibility to attend classes, and to get notes for the lectures if a class must be missed. This policy is consistent with university regulations on attendance.
  • Makeups for exams must arranged in advance, except in the case of a documented medical emergency. Acceptable reasons for missing an exam are serious family emergencies, special curricular requirements of other units of the University, military obligations, religious holidays, severe weather conditions, or court-imposed legal obligations
  • Late homework will not be accepted. Homework may be submitted by email; please use PDF files for this purpose. Any submissions by email must be received by the start of class on the due date.
  • Students requiring accommodation for disabilities must make arrangements through the Disability Resource Center.
  • Students are expected to provide feedback on the quality of instruction by completing online evaluations. Typically this process takes place during the last weeks of the semester. The results of the evaluations are available when they are tabulated.
  • Please silence your cell phones.

Metadata

This web page is the authoritative source for the course syllabus and supersedes all previous versions.

Assignment Schedule

Assignment 1 – 17 January

Required problems:

  • §7.1: 7, 14, 26
  • §7.2: 6, 7, 13

Optional:

  • §7.1: 6, 10, 15, 23, 28
  • §7.2: 3, 5

Assignment 2 – 27 January

Required:

  • §7.3: 12, 17, 24, 34
  • §7.4: 7, 15, 30, 32

Optional problems: §7.3 8, 10, 16, 21, 26, 33 and § 7.4: 6, 12, 18, 30.

Assignment 3 – 3 February

Required:

  • §7.5: 2, 5
  • §7,6: 1, 3
  • §8.1: 8
  • §8.2: 6, 8

Optional problems: §7.5 3; §7.6 8, 9, 10, 11; §8.1 1, 6, 12 and §8.2 4, 7.

Exam One: 7 February

The exam will cover sections 7.1 through 8.2. Details TBA.

Assignment 4 – 14 February

Required:

  • §7.4: 41
  • §8.3: 6, 11
  • §9.1: 5, 8, 10, 13

Optional: TBA

Assignment 5 – 21 February

Required:

  • §9.2: 1, 2, 5, 7, 12
  • §9.3: 4, 5

Optional TBA.

Assignment 6 – March 9

Required:

  • §10.1: 8, 9, 10
  • §10.2: 6, 12, 13
  • §10.3: 4, 5, 9, 11, 27

Assignment 7 – March 16

Required:

  • §9.4: 1, 2, 9, 10
  • §9.5: 1, 3, 4
  • §11.1: 11, 13
  • §11.1: 9, 10, 11

Information concerning the online operation of this course

Until further notice lectures will be delivered as slide presentations. Homework will be assigned as usual. To turn in your homework you should scan your paper (if handwritten) as a PDF file and email it to me. Of course if you’re using LaTeX just email me the PDF.

Since I expect to be getting about 60 emails a week from my two courses, please use the following format for the Subject line: MAS 5312 Assignment N, [Your Name].

OFFICE HOURS: Until further notice, office hours will take place in my office, TWR from 11am until noon. Eventually I will move one of these to Skype; until then, if you are out of town, please submit questions by email.

NOTA BENE: I will probably move the exam to next week, until I figure out a way to do this online. So just keep doing homework as usual.

Slides and assignments follow.

Week of March 16-20

Week of March 23-27

  • Lecture for Monday
  • Lecture for Wednesday. This is a discussion of all the problems in the last assignment, so you will want to study it for the exam.

Exam 2 – Friday March 27

NOTE that the exam has been moved back a week. The exam will cover all assigned material in assignments 4 through 7.

The exam is ow avalable (9:45am) and you have until 11:45 to email me the answers. You may use one of two methods:

  • PDF version of the exam. Print this out, write in your answers, scan the result as a PDF and then email it to me. If you don’t have a printer just use ordinary paper to write the questions and answers. IN ANY CASE make sure that your name is on the paper.
  • LaTeX version of the exam. Download this, edit in your solutions (follow the instructions on the exam), run this through pdftex and send the PDF to me. Please don’t send me LaTeX code.

If you have accomodations for disabilities, the terms of the accomodation will apply to this exam.

Week of March 30 – April 3