Algebra-II

Course description:

Introduction to rings, Integral domains, Ideals and factor rings, Ring homomorphisms, Field of quotients of an Integral domain, Polynomial rings, Factorization of polynomials, Field extensions, Splitting fields, Classification of finite fields solving cubic and quartic equations.

Prerequisites:

Algebra I: Basic group theory

Recommended texts:

• D. S. Dummit and R. M. Foote, Abstract Algebra, John Wiley & Sons Inc, 3rd Edition. 2004.

• I. N. Herstein, Topics in Algebra, Wiley India Pvt Ltd, 2nd Edition, 2006.

• Artin, M., Algebra, Prentice Hall of India, 1994.

• Jacobson, N., Basic Algebra I, Hindustan Publishing Corporation, 2nd Edition, 1991.

Lectures:

Mon: 12:00 - 01:00

Wed: 11:00 - 12:00

Thu: 12:00 - 01:00

Fri : 10:00 - 11:00

Assignments:

1. Assignment -1 (Due by 11/09/2017)(Solution)

2. Assignment -2 (Due by 18/10/2017)(Solution)

3. Assignment -3 (Due by 8/11/2017) (Solution)

Exams:

Mid semester:

There will be one midterm test, scheduled on Friday, September 15, 2017 at 11: 00 -12:30.

End Semester:

The end semester exam is scheduled on Wednesday, November 29, 2017 at 11: 00 AM- 2:00PM.