Location and Times
Dwinelle 182, Monday - Thursday 10am-12pm
Office hours: Evans 971 Tuesday Thursday 2-3pm
Email: norman.sheu@berkeley.edu
Course Description
Sets and relations. The integers, congruences, and the Fundamental Theorem of Arithmetic. Groups and their factor groups. Commutative rings, ideals, and quotient fields. The theory of polynomials: Euclidean algorithm and unique factorizations. The Fundamental Theorem of Algebra. Fields and field extensions.
This is not an online course.
Prerequisites
54 or a course with equivalent linear algebra content. 55 or an equivalent exposure to proofs.
Textbook
Abstract Algebra, Dummit and Foote, 3rd Edition
ISBN: 978-0471433347
Grading policy
Homework: 20%
Midterm 1: 25%
Midterm 2: 25%
Final: 30%
The class grade distribution will be based on what is recommended by the math department.
Homework
Homework will be posted on Thursday and collected the following Thursday one week later. You must submit a physical copy. Do not email your homework assignments to the course reader or me. Three problems wil be chosen at random to be graded. No credit is given for homework turned in after the due date. Two of the lowest homework scores will be dropped. Working with others is encouraged, but you must write your solutions on your own and write the names of your collaborators at the top of the assignment.
Exams
There will be two midterms and one final. All midterms will be held during regular class hours. Midterms and finals will not be conducted remotely under any circumstances. There are no make-up midterms or final.
The first midterm will be held on July ??.
The second midterm will be held on July ??.
The final will be held on the last day of class.
No calculators or cheat sheets are allowed in exams.
Academic Integrity
Cheating is unacceptable. Students found cheating on homework or midterm will receive a score of 0 on that homework or midterm. Students found cheating on the final exam will receive an automatic F in the course. Any student caught cheating will be reported to the Office of Student Conduct and Student Community Standards, and if found responsible for academic misconduct may receive sanctions ranging up to suspension or dismissal from the university.
DSP
Students with disabilities requiring accomodations for exams must submit a letter of accomodation from the Disabled Students Program and contact me at least two weeks in advance of any exam so that we can make the necessary arrangements. Requests may not be accomodated if this deadline is not met.
Incomplete Grades
Grades of Incomplete will be granted only for direct medical or personal emergencies that cause you to miss the final, and only if you have completed the majority of the coursework and your work up to that point is of passing quality.
Information for incomplete grades can be found here.
Homework Assignment
1.)