Math 417: Introduction to Abstract Algebra

Fall 2019


Instructor: Florin P. Boca

Office: 371 Altgeld Hall

Phone: 244-9928

E-mail: fboca at illinois dot edu


Textbook: Fred Goodman, Algebra: Abstract and Concrete.

Prerequisites: Prerequisite: Either MATH 416 or one of ASRM 406, MATH 415 together with one of MATH 347, MATH 348, CS 374; or consent of instructor. Overall, students are expected to be acquainted with Appendices A, B, C, D and E in Goodman's book.

Syllabus:

  • Fundamental theorem of arithmetic, congruences
  • Permutations
  • Groups and subgroups, homomorphisms
  • Group actions with applications
  • Polynomials
  • Rings, subrings, and ideals
  • Integral domains and fields
  • Roots of polynomials
  • Maximal ideals, construction of fields

  • Lectures: MWF 1:00-1:50, 145 Altgeld Hall

    Office hours: Monday 2-3, Wednesday 4-5


    Grading policy: Comprehensive final exam: 35%; Three midterm exams: 40%; Homework/quizzes: 25%

    HW and quiz policy: There will be 12 HW assignments. Assignments ⋕ 2N, N=1,2,...,6 will be collected and graded. Assignments ⋕ 2N-1, N=1,2,...,6 will not be collected. Instead, a 15 min quiz with two problems from that assignment will be given in class. Only the best 10 (out of 12) scores will count. As a result HW extensions or make-up quizzes will not be normally allowed.


    Midterm exams calendar: Midterm 1: Monday Sep 30, Midterm 2: Friday Nov 1, Midterm 3: Wednesday Dec 4.

    Final exam: 8:00-11:00 am, Thursday, December 19, 145 Altgeld Hall.


    Illinois Student Code

    Last modified: October 14, 2019