Time and Place: MWF 1-1:50pm, Snow 301
Instructor: D. Katz
E-mail: dlk53 AT ku dot edu
Office: Snow 501
Office Hours: MWF 11am-noon, and by appointment
Text: Abstract Algebra, Theory and Applications, by Thomas W. Judson. Here is a freely available online copy: Abstract Algebra, Theory and Applications. We will use the 2019 version of this text.
Course Description
This is an introductory course in abstract algebra. We will study a number of algebraic systems, including the integers, groups, rings, and fields. We will also study the elementary aspects of polynomial rings over a field and finite field extensions. One important aspect of the course will be an emphasis on how certain common themes arise in what seem to be very different settings. For example, we will study unique factorization over the integers and will show that very similar ideas leading to the unique factorization theorem for integers also give rise to a similar unique factorization theorem for polynomial rings.
Homework
Homework will be assigned each class period. Generally, each assignment will have more problems assigned than you are required to turn in. You are encouraged to work all of the problems in each assignment, since this is an abstract course, and only through regular practice working all of the homework problems can one achieve a thorough understanding of the material. You may work with fellow classmates on homework problems, but you must write up the solutions on your own, without copying from another classmate. You may also consult with me, your class notes, or the textbook, but you may not use outside references, e.g., the internet or other KU faculty or students not in the class.
Homework is due the Friday after it is assigned.
Check here for the daily assignments: Math 558 Homework
Check here for solutions to assigned homework problems: Solutions
Daily Update
A daily summary of what was covered in class can be found here: Daily Update
Weekly Quizzes
There will be a short quiz every every week, typically on Mondays. However, due to the Labor Day holiday, our first quiz will be on Wednesday September 4. These quizzes will help insure that you keep up with the content of the course. In particular, there will be many new and unfamiliar terms that you will need to keep track of, and regular quizzes will help reinforce your familiarity with these terms.
Quiz 1 Solutions, Quiz 2 Solutions, Quiz 3 Solutions, Quiz 4 Solutions, Quiz 5 Solutions, Quiz 6 Solutions
Quiz 7 Solutions, Quiz 8 Solutions, Quiz 9 Solutions, Quiz 10 Solutions, Quiz 11 Solutions, Quiz 12 Solutions,
Midterm Exams
There will be two in-class midterm examinations. The dates for these exams are: October 4 and November 15.
Final Exam
The final exam will be held in our classroom on Thursday, December19, from 10:30am-1pm. The final exam will be comprehensive.
Course Grading
Two midterm exams: 100 points each
Homework: 100 prorated points
Weekly Quizzes: 100 prorated points
Final exam: 200 points
Total points: 600 points. NOTE: You may use your score on the final exam to replace your lowest midterm score, if doing so improves your final grade. However, all students must take the final exam.