MATH 522-01, Spring 2015

This class has completed. Information on this web page may not be applicable to future semesters.

- Blackboard page for MATH 522-01
- Course syllabus, in PDF format, formatted for printing
- Outline of important course concepts
- Exams
- Practice Midterm #1 (solutions)
- Midterm #1 (solutions)
- Practice Midterm #2 (solutions)
- Midterm #2 (solutions)
- Final Exam (solutions)

## Course information:

Instructor: Jake Wildstrom

**Office:**Natural Sciences Building 113

**Primary office hours:**Tuesday 11:00–13:00, Thursday 14:30–15:30

**Secondary office hours:**Monday 11:00–12:30, Wednesday 14:00–15:30, and by appointment

**Phone number:**(502)852-5845 (x5845)

**E-mail:**djwild01@louisville.eduLecture: TR 13:00–14:15 in Natural Sciences Building 110 Prerequisites: MATH 521. Description: Continuation in greater depth of topics introduced in MATH 521; introduction to theory of ideals, field extensions, and abstract vector spaces. Textbook: *Contemporary Abstract Algebra*by Gallian, eighth edition (ISBN 978-1-133-59970-8) chapters 12–20; if time allows, we may also do topics from chapters 21–23.Objectives: We will learn the definition and properties of algebraic rings and fields, and several applications and specific concepts relating to rings and fields. Learning Outcomes: Students will learn the basic theory of rings; improve ability of following the proofs of difficult statements; increase mathematics logic skills and writing proofs skills in the context of a high level course. Outcomes will be assessed via homework and exams. Responsibilities: You are responsible for attending class daily and maintaining comprehension of the material presented in class. Problem sets will be assigned regularly and posted online. You must complete all assigned problems promptly, and attend examinations on the scheduled dates. Extracurricular interaction with your fellow students, and with the instructor, will be very useful in developing your comprehension. Special needs: Any scheduled absence during a quiz or examination, or any other special needs, *must*be brought to my attention during the first week of class. During a scheduled absence, you are expected to complete assignments on time, submitting them by e-mail if necessary. Absence due to unforseen emergencies will be dealt with on a case-by-case basis and must be documented.Honesty: There are many resources available to help you succeed in this class, including consultation during office hours, secondary texts, and cooperation with other students. It is important, however, that all papers handed in be the result of your individual comprehension of the course material. Duplication of others' work is both a disservice to your own education and a serious violation of the university's academic honesty policy. Grades: Problem sets will account for 30% of your grade, the midterm examinations will each be worth 20%, and the final examination will be worth 30%. A 90% overall guarantees a grade of A–, 80% guarantees a B–, and 70% guarantees a C–. Changes: The syllabus is subject to change. Changes will be announced in class and updated online. ## Course schedule

This schedule is tentative and may not reflect our progress at any particular time in the class; treat this as a rough guide only.

Tuesday Thursday 1 January 8thChapter 122 January 13thDrop dateChapter 12January 15thChapter 133 January 20thChapter 13January 22ndChapter 14Problem Set #1 due4 January 27thChapter 14January 29thChapter 145 February 3rdChapter 14February 5thChapter 15Problem Set #2 due6 February 10thChapter 15February 12thExam #17 February 17thChapter 16February 19thChapter 168 February 24thChapter 16February 26thChapter 17Problem Set #3 due9 March 3rdChapter 17March 5thChapter 1710 March 10thChapter 18March 12thChapter 18Problem Set #4 due11 March 16th&nadsh;20thSpring break12 March 24thChapter 18March 26thExam #213 March 31stChapter 19April 2ndChapter 19Problem Set #5 due14 April 7thChapter 19April 9thChapter 2015 April 14thChapter 20April 16thChapter 2016 April 21stChapter 20Problem Set #6 dueApril 23rdReading dayFinal exam, Friday, April 24, 14:30PM-17:00## Problem sets:

Solutions should be legible and, where written exposition is used, grammatical, and are due at the beginning of class.

You may find it useful to type your solutions, although doing so is not necessary. In preparation for future mathematical studies, you may find the LaTeX mathematical typesetting tool to be well worth learning; to assist in that process if you elect to do so, a template will be provided for you to write your solutions. For help using LaTeX, please visit Dr. Wildstrom during office hours.

- Problem Set #1 is due
on
**Thursday, January 22nd**(Question PDF, LaTeX solution template, Solution PDF, Solution TeX source) - Problem Set #2 is due
on
**Thursday, February 5th**(Question PDF, LaTeX solution template, Solution PDF, Solution TeX source) - Problem Set #3 is due
on
**Thursday, February 26th**(Question PDF, LaTeX solution template, Solution PDF, Solution TeX source) - Problem Set #4 is due
on
**Thursday, March 26th**(Question PDF, LaTeX solution template, Solution PDF, Solution TeX source) - Problem Set #5 is due
on
**Thursday, April 9th**(Question PDF, LaTeX solution template, Solution PDF, Solution TeX source)

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