A. Connes, Noncommutative geometry, Academic Press 1994.
A. Connes, C. Consani, Cyclic homology, Serre's local factors and lambda operations, (preprint 2012).
J-L. Loday, Cyclic homology, Springer 1992.
Basic Information | |
Course Title | Advanced Algebra II |
Course Number | 110.402 |
Instructor | Caterina Consani (kc@math.jhu.edu), Krieger 410B |
Lectures | MW 12:00 --1:15 pm, Krieger Hall 308 |
Section Meetings | F 12:00-12:50pm, Krieger Hall 308 |
Office Hours | W 3:30 pm -- 4:30 pm, and by appointment, Krieger 410B |
TA | Jeffrey Tolliver (tolliver@math.jhu.edu), Krieger 201. Office hours: TBA --. |
Course Information | |
Textbook | W. Keith Nicholson, Introduction to Abstract Algebra (Fourth Edition). |
Description | This course is the continuation of
Advanced Algebra I (110.401). We will cover most sections from Chapter 5 to Chapter
10, not necessarily following the order in the book. See detailed schedule on
course homepage (to be updated
frequently). Roughly speaking, the course is subdivided into four main parts:
Factorization in integral domains (Chapter 5); Introduction to modules,
modules over PID and the structure theorem of finitely generated abelian
groups (Chapter 7); Advanced topics in Groups: Sylow theorems,
Jordan-Holder theorem, solvable groups, etc (Chapter 8-9); Field extensions
and Galois theory (Chapter 6 and 10). |
Homework and Exams | |
Homework | Homework will be assigned every Friday on the course homepage, and will be due on the following Friday in session to the TA. No late homework will be accepted. Collaboration on homework is allowed and encouraged. However, each student must write up his/her solutions to the problems individually and in his/her own words. Copying from another students paper is prohibited. Only selected homework problems will be graded. Homework counts for 40% of your grade. You might get assistance from our Math Help Room at Krieger 213. The Help Room will be open from 9:00am to 9:00 pm, Monday through Friday. |
Exams Policy | There will be one in-class midterm exam scheduled on Friday, March 7 (at session time) and there will be one take-home 2nd midterm exam distributed in session on Friday April 25 and collected in class on Monday April 28. This course has NO FINAL EXAM. No lecture notes or other study materials will be allowed in the exams. Per department policy, there will be no makeup exams. If you miss the in-class midterm with a valid excuse, then your exam grades will be determined by the 2nd exam and the homework. The grade for an unexcused absence from any exam will be zero. |
Grading Policy | The grade for this course will be determined as follows.
|
Special Aid | Students with disabilities or other special needs who require classroom accommodations must first be registered with the disability coordinator in the Office of Academic Advising. To arrange for testing accommodations the request must be submitted to the instructor at least 7 days (including the weekend) before each of the midterms or final exam. You may make this request during office hours, after class or by sending an email to the instructor. |
Academic Ethics | The strength of the university depends on academic and personal integrity. In this course, you must be honest and truthful.
|