MAS 5311 Section 8526 – Introduction to Algebra I – Fall 2019

  • Instructor: Dr. Richard Crew, 404 Little Hall
  • Office hours: M5, W4, W6
  • Office phone: (352)-294-2300
  • Email: rcrew@ufl.edu

Course Description

Course Meeting Time: MWF 3 in Little 219.

Course Description

This is the first semester of a two-semester sequence to prepare graduate students in the Mathematics Department for the first-semester algebra exam. This semester is entirely devoted to group theory. The text is the latest edition of Dummit and Foote’s Abstract Algebra.

Prerequisites

One semester of an undergraduate algebra course or equivalent life experience. An ability to read and write proofs is essential.

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: 20 September, 25 October, 2 December.

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 syllabus and course requirements, and supersedes all previous versions.

Schedule of Assignments and Exams

Assignment 1 – August 30

We will cover chapter 0 and chapter 1 section 1. Homework:

  • §0.1: 5, 7
  • §0.2: 1(f), 7, 10
  • §0.3: 8, 9, 15(d)
  • §1.1: 19, 20, 22, 31
  • 4-8

Assignment 2 – September 9

We will cover the rest of chapter 1. Homework:

  • §1.2: 3, 18
  • §1.3: 2, 4, 11, 12, 18, 19
  • §1.4: 7, 11
  • §1.6: 1, 2, 4, 5, 6, 7

Assignment 3 – September 16

We will cover chapter 2. Homework:

  • §1.7: 8, 9, 10
  • §2.1: 6, 10, 15
  • §2.2: 5, 10
  • §2.3: 9, 12, 16, 21, 23

Exam One – September 20

The exam will cover all assigned material through section 2.3. Further details TBA.

Assignment 4 – October 7

  • §2.4: 9, 10
  • §2.5: 11, 13, 14
  • §3.1: 9, 11, 18, 19, 24
  • §3.2: 6, 8, 9, 21

Assignment 5 – October 14

Note change of date.

  • §3.3: 5, 6, 7, 8
  • §3.4: 3, 5, 7, 8,
  • §3.5: 4, 6, 10, 11, 17

Assignment 6 – October 23

  • §4.1: 1, 2, 3, 4, 7, 8
  • §4.2: 4, 7, 8

Exam Two – October 25

The exam will cover all material since exam one.

Assignment 7 – November 4

  • §4.3: 11, 12, 13, 19, 23
  • §4.4: 5, 6, 12, 14
  • §4.5: 7, 14, 16, 17, 22, 32

Assignment 8 – November 13

  • §4.6: 1, 2, 3, 5
  • §5.1: 5, 15, 17
  • §5.2: 2, 3, 8, 16
  • §5.4: 4, 5, 11, 13

Assignment 9 – December 2

Note change of due date.

  • §5.5: 7, 15, 17
  • §6.1: 1, 7, 9, 24, 25, 26
  • §6.2: 6, 7, 10, 19, 20

Exam Three – December 4

Here are the solutions for the exam. If you are taking the first-semester algebra in January you will definitely want to have a look at these.

Final grades have been sent to the registrar. If you are in town and wish the collect your exam, I will be in my office on Tuesday December 17 from 11am to 1pm. Happy Holidays! Happy Beethoven’s birthday!