Time and Place : TueTh 9:50-11:10; Lgt Engr Lab 154

Instructor : Radu Laza

Office : Math Tower 4-121
Email :  rlaza@math.sunysb.edu

Office Hours: Thr 3-4

Grader: Yongsheng Zhang

Quick Links

• Schedule
• HW8/9 (due Dec 2)
• HW10 (due Dec 14)

Course Description

Textbook : David S. Dummitt and Richard M. Foote, Abstract algebra, 3rd ed.

We will cover roughly the following topics: Groups: normal subgroups, quotient groups, Lagrange's theorem, class formula, finite p-groups and solvable groups, Sylow's theorems, finitely generated abelian groups. Rings and modules: subrings, fields, prime and maximal ideals, quotient rings, ID's, PID's, UFD's, polynomial rings, field of fractions, the Wedderburn theorem, Hilbert basis theorem, finitely generated modules over a PID. Vector spaces: basis, linear maps and matrices, dual spaces, determinants, eigen values and vectors, inner products, spectral theorem for normal operators.

Announcements

• Welcome!
• Please check frequently this webpage for HW assignments, schedule, and announcements.
• The first midterm will take place in class on October 7th. It will cover group theory (Chapters 1-5). There will be 3 types of problems: proof of some theorem discussed in class or from the textbook, a concrete computation (e.g. classify groups of order 60), and something intermediary between concrete and theory (see the questions from HWs). Relevant review material: HW1-4.

Grading

• There will be 2 midterms (in class) and a final. There will be approximately 10 homework assignments.
• The exams count for 80% of the final grade. The division is roughly: 40% for the final and 20% for each midterm. The remaining 20% will be for the homework assignments.

Schedule

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