Math 4360 – Foundations of Algebra II

Fall 2017

Textbook: A. Papantonopoulou — Algebra, Pure & Applied
Lectures: TR 9:30am–10:50am in MA108
Office hours: TR 2:30pm–4pm, and by appointment
Material covered: 7.3, 8.6–8.8, chs. 9–10, parts of ch. 5, ch. 12, parts of ch. 11, and whatever else we may have time for.
Grading: During the term, there will be two in-class exams, each taking up an entire class period. Additionally, there will be ten homework assignments, of which five (of your own choosing) may be resubmitted within a week of the original due date. The final grade will be computed according to the following percentages:
In-class exams: 30% (15% each)
Homework: 50% (5% each)
Final exam: 20%
The dates of the in-class exams are September 28 and November 2.
Important dates:
August 28: First day of classes
Sept. 4: Labour Day
Nov. 22–26: Thanksgiving
Dec. 6: Last day of classes
Dec. 12: Final exam, 7:30am–10am
Handouts:
Syllabus
Handout for first in-class exam
Practise problems: Problems
Learning outcomes: Students learn how to think and reason abstractly in the context of algebraic structures, and learn how to write correct and clear mathematical arguments in this context. Concepts to be mastered by the students include, but are not limited to, the following:
  • Ideals and quotient rings;
  • Euclidean domains;
  • Field and Galois theory;
  • Applications.
Learning assessment: The expected learning outcomes for the course will be assessed through in-class exams and activities, homework assignments and class discussions.
Schedule
Date Material covered Suggested exercises Other
8/29 7.3 7.3: 2, 5, 22, 27
8/31 8.6, 8.7 8.6: 1, 9, 11, 21; 8.7: 5, 11, 18, 20
9/5 8.7, 9.1 9.1: 1, 10, 15 First homework assignment
9/7 9.1
9/12 9.2 9.2: 2, 5, 7 Second homework assignment
9/14 9.2 9.2: 19, 23
9/19 9.2 Third homework assignment
9/21 10.1, 10.2 10.2: 2, 4, 13
9/26 10.2 10.2: 22, 28
9/28 First in-class exam
10/3 First in-class exam Fourth homework assignment
10/5 10.3 10.3: 2, 5, 12, 20
10/10 10.3, 10.4 Fifth homework assignment
10/12 10.4 10.4: 1, 21, 25, 27
10/17 10.4, parts of 11.1–11.2 Sixth homework assignment
10/19
10/24 Seventh homework assignment
10/26
10/31 Eighth homework assignment
11/2 Second in-class exam
11/7 Ninth homework assignment
11/9
11/14 Tenth homework assignment
11/16
11/21
November 22–26: Thanksgiving
11/28
11/30
12/5
12/12 Final exam, 7:30am–10am
Return to teaching page

Special arrangements: Any student who, because of a disability, may require special arrangements in order to meet course requirements should contact the instructor as soon as possible to make any necessary arrangements. The student should present appropriate verification from Student Disability Services during the instructor's office hours. Please note instructors are not allowed to provide classroom accommodations to a student until appropriate verification from Student Disability Services has been provided.

Religious holy days: (1) “Religious holy day” means a holy day observed by a religion whose places of worship are exempt from property taxation under Texas Tax Code §11.20.

(2) A student who intends to observe a religious holy day should make that intention known in writing to the instructor prior to the absence. A student who is absent from classes for the observance of a religious holy day shall be allowed to take an examination or complete an assignment scheduled for that day within a reasonable time after the absence.

(3) A student who is excused under section 2 may not be penalized for the absence; however, the instructor may respond appropriately if the student fails to complete the assignment satisfactorily.