Math 4350 & 6350
Abstract Algebra
Instructor: Todd Frauenholtz
Office: 367 HS
Phone: 755-2817
Class meets: M, T, W, Th, F in S 228 from 8:30 - 11:00 am.
Office hours: M, T, W, Th, F from 11:00 am – 12:00 pm and by other arrangement
Required Text: Abstract Algebra: a geometric approach by Theodore Shifrin
Description: A study of abstract algebraic systems with an emphasis on the development of number systems, properties of polynomials, rings, integral domains and fields. Prerequisite: Math 3310.
Goals and objectives of the course:
Students will:
Homework: Homework assignments will be made in class. You should read and understand all sections of the chapters and assigned problems to prepare for quizzes and exams. Points will be given for homework.
Class participation and quizzes: Class participation is expected and in order to participate you need to be present. Quizzes will be unannounced and given frequently to help you prepare for the exams. Quizzes cannot be made up and students must be present for the entire class to take a quiz. Cell phones must be turned off during class.
Exams: There are two exams planned including the final exam. The mid-term will depend on course timing and the final exam is scheduled for Tuesday, July 16th from 8:30 – 11:00 am.
Grades: Grades for this course will be based upon homework, quizzes, tests, and a comprehensive final exam; some of the quizzes may be unannounced. Items for both will come from the assigned homework. The following grading scale will be used to determine grades:
| A | 90 – 100 % |
| B | 80 – 89 % |
| C | 70 – 79 % |
| D | 60 – 69 % |
| F | Below 60% |
Make-ups are not allowed for missed quizzes, instead I will
allow you to drop your lowest quiz score from the term.
All tests will count toward your final grade.
The instructor reserves the right to adjust the grading scale if
necessary.
Working through the assigned problems is essential to
learning mathematics. Showing your
work is the only way to receive partial credit and hence is very important.
Academic integrity:
Students are expected to practice the highest standards of ethics,
honesty, and integrity in all of their academic work.
Any form of academic dishonesty (e.g., plagiarism, cheating,
misrepresentation) may result in disciplinary action. Possible disciplinary actions may include failure for part or
all of a course, as well as suspension from the University.
Upon request, this document and others distributed in this course can be made available in alternate formats. Please contact the instructor, Todd Frauenholtz, at 755-2817 or staff in the Accessibilities Office at 755-3883 for assistance.
Daily Course Outline
|
Day 1 |
Ch 1 – Integers, mathematical induction, and the Binomial Theorem. Ch 1.1: 4b, 4d, 4f, 5, 19 and read section 1.2. |
|
Day 2 |
Continue Ch.
1 – Integers, mathematical induction, and the Binomial Theorem.
Ch 1.2: 1c, 2, 8, 13, 17, and read section 1.3. Frobenius Coin Problem: the post office only has four and nine cent stamps. What is the largest postage value I canNOT make using four and nine cent stamps? |
|
Day 3 |
Ch. 1 – Construct Cayley table for triangle (D3). Abelian (pg. 34) Classroom activity: Like Clockwork (NCTM Navigations through Number & Operations in Grades 9-12)
Ch 1.3: 2g, 8, 13, 17, 29. Ch 1: 1, 2, 3, 6, 7, 8, 9, 10, 16, 18, 19. |
|
Day 4 |
Continue Ch. 1.3 |
|
Day 5 |
Ch 1.4: 5, 7, 9, 12, 19. |
|
Day 6 |
Ch. 2 – Integers to Complex numbers. Ch 2: 1, 2, 3, 4, 5, 8, 13, 14, 15, 16, 19, 24, 25, 26, 35.
Ch. 2.1: 7, 8, 9, 16. |
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Day 7 |
Ch. 2.2: 5, 6, 11, 12, |
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Day 8 |
Mid term exam covering chapters one and two (up to section 2.2). |
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Day 9 |
Ch. 2.3: 5, 6d, 9g, 11b, 18.
Read section 2.4: 2, 6b, 9 |
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Day 10 |
Complete 2.3 & 2.4 |
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Day 11 |
Ch 3.1: 6, 10b, 10d, 10f, 13, 15, 23. |
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Day 12 |
Ch 3.2: 6c, 7, 11. |
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Day 13 |
Ch 3.3: 2b, e, g, h, 3, 68. |
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Day 14
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Review for final |
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Day 15
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FINAL EXAM - July 16th from 8:30 - 11:00 am. |
updated 11/28/2005
by Todd
Frauenholtz