Marquette University

Department of Mathematical and Statistical Sciences

Wim Ruitenburg's Fall 2024 MATH/SSC 4/5120-101. Syllabus

Last updated: 24 November 2024
Comments and suggestions: Email   wim.ruitenburg@marquette.edu

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• OBJECTIVES:
  (0) Those mentioned in the Undergraduate Bulletin.
  (1) Be able to define algebraic structures, state theorems about algebraic structures, prove the theorems, find examples.
  (2) Learn good ways of how one develops basic aspects of this discipline.
  (3) Discover the usefulness of abstract algebra in the `real' world.
• CLASS PLACE AND TIME: Cudahy Hall CU 118 MWF 11:00 - 11:50
• INSTRUCTOR: Wim Ruitenburg
• OFFICE HOURS: By appointment. Office CU 384
• PREREQUISITES 4120: MATH 2350 or MATH 2100
• BOOK: Abstract Algebra: Theory and Applications. Author: Judson. Annual Edition 2022 or later.
  Electronic version of 2022 freely downloadable from Judson.
  Available under the GNU Free Documentation License.
  A more detailed list of the part of the book that we focus on (but never finish in this semester):
  Chapters 1-6.
  Chapters 9-11.
  Chapters 14-15.
  An introduction to rings and fields.
  Occasionally we add extra notes. Examples:
  Groups.
  The complex plane.
  Complex exponentiation.
• GRADES will be determined by performance on exams and on homework problems.
  • There will be three exams: EX1, EX2, and EX3. Each exam is worth 10 points.
  • There will be homework problems worth extra points, some smaller and some bigger. All homework combined is estimated to be worth 20 points.
  • For MSSC 5120 students there are extended versions of the homework, with directions towards universal algebra and proofs.
  • In case of inclement weather during finals week, the final EX3 will be canceled and grades calculated on the basis of the coursework the student has completed up to the cancellation.
  • Points to grade conversion: The following are minimum guarantees:

    Points Grade

    47-50 A 44-46 A- 41-43 B+ 38-40 B 35-37 B- 32-34 C+ 29-31 C 26-28 C- 23-25 D+ 20-22 D

• ATTENDANCE POLICY: You are expected to attend all classes for their full periods.
  MAKEUP OF MISSED WORK: Makeup of missed work that contributes to your final grade for reasons of absence not automatically recognized by Marquette University: My policy is NO, but then again I tend to give everybody a chance to make up work once.
• ACADEMIC DISHONESTY: See the undergraduate bulletin.
• SEMESTER estimated outline: Under construction

  Date Action	Date Action
  August 26 1. Prelim 28   30   September 4   6 2. Integers 9   11   13 3. Groups 16   18   20   23   25 4. Cyclic gr. 27 EX1 30   October 2   4   7   9   11   14	16 5. Permute 21   23   25   28   30 6. Coset November 1 EX2 4 10. Normal 6 11. Morphism 8 Three 11 chapters 13 together 15   18   20   22   25   December 2   4   6   9,   1 PM EX3

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