SYLLABUS MATH 520

  • Instructor: Alexandru Buium
  • e-mail: buium@math.unm.edu
  • Required text: Algebra, by Hungerford
  • Material covered: Introduction and Chapters 1-4. We shall not, however, follow the order of presentation in the book very closely.

    • Homework exercises:

  • Sets
  • S1 p. 14 ex 1, 2.
  • S2 p.21 ex 3, 9.
  • Groups
  • G1 p.29 ex 13, 14, 15.
  • G2 p.33 ex 2, 10, 15c.
  • G3 p. 36 ex 2, 5, 6.
  • G4 p.40 ex 3, 4, 5, 11.
  • G5 p.45 ex 11, 19.
  • G6 p. 51 ex 7, 10, 12.
  • G7 p. 58 ex 3, 4.
  • G8 p.63 ex 1, 2, 4.
  • G9 p. 68 ex 6, 7.
  • G10 p. 74 ex 8, 10, 11.
  • G11 p. 82 ex 1, 13, 15.
  • G12 p.92 ex 9, 13, 15.
  • G13 p. 96 ex 3, 9, 10.
  • Rings
  • R1 p. 120 ex 3, 6, 12, 14.
  • R2 p. 133 ex 2, 9, 23.
  • R3 p. 140 ex 3, 6, 7, 10.
  • R4 p. 148 ex 6, 7, 10, 13, 14,
  • R5 p. 157 ex 8-11,
  • R6 p. 165 ex 1, 11, 15.
  • Modules
  • M1 p. 178 ex 9, 12, 13, 15.
  • M2 p. 188 ex 6, 8, 14,
  • M3 p. 198 ex 4, 5, 8, 9.
  • M4 p. 206 ex 1, 3, 10. M5 p. 216 ex 2, 3, 7, 9.
  • Grading policy. There will be 1 midterm exam and a final exam. The midterm exam will cover sets and groups; the final will be comprehensive. The exams will be given in class and will be in the form of ``practice qualifying exams''. They will consist in solving a set of exercises very similar to the ones contained in the set of ``homework exercises''; you might also be asked to give basic definitions or examples. Homework will be assigned every Friday and will be collected the next Friday. Your final grade will be computed as follows: the final represents 1/2, the midterm exam represents 1/3, and the homework represents 1/6 of the final grade respectively.
  • Note. Qualified students with disabilities needing appropriate academic adjustments should contact me as soon as possible to ensure your needs are met in a timely manner. Handouts are available in alternative accessible formats upon request.
  • In an effort to meet obligations under Title IX, UNM faculty, Teaching Assistants, and Graduate Assistants are considered “responsible employees” by the Department of Education (see pg 15 - http://www2.ed.gov/about/offices/list/ocr/docs/qa-201404-title-ix.pdf). This designation requires that any report of gender discrimination which includes sexual harassment, sexual misconduct and sexual violence made to a faculty member, TA, or GA must be reported to the Title IX Coordinator at the Office of Equal Opportunity (oeo.unm.edu). For more information on the campus policy regarding sexual misconduct, see: https://policy.unm.edu/university-policies/2000/2740.html