Algebra II VGMYKBMQF2

URI	`m2://res/VGMYKBMQF2`
Kind	course
Creators	Jugal K. Verma (instructor)
Scope	in
Ids	course 02qyf5152:111101001

Expressions

e1: edition

Language	en

m1: page, IIT Bombay (record). nptel 111101001

Contents

part 1: Algebra II
session 1: Lecture 1 : Introduction and Overview
session 2: Lecture 2 : Algebraic extensions I
session 3: Lecture 3 : Algebraic Extensions II
session 4: Problem Set 1 : Algebraic Extensions
session 5: Lecture 4 : Ruler and Compass Constructions I
session 6: Lecture 5 : Ruler and Compass Constructions II
session 7: Problem Set 2 : Ruler and Compass Constructions
session 8: Tutorial 1 : Algebraic Extensions and Ruler and Compass Constructions
session 9: Lecture 6 : Symmetric Polynomials I
session 10: Lecture 7 : Symmetric Polynomials II
session 11: Problem set 3 : Symmetric Polynomials
session 12: Lecture 8 : Algebraic Closure of a Field
session 13: Problem set 4 : Splitting Fields
session 14: Tutorial 2 : Symmetric Polynomials and Splitting Fields
session 15: Lecture 9 : Separable Extensions I
session 16: Lecture 10 : Separable Extensions II
session 17: Problem set 5 : Separable Extensions
session 18: Lecture 11 : Finite Fields I
session 19: Tutorial 3 : Separable Extensions and Finite Fields
session 20: Problem set 6 : Finite Fields
session 21: Lecture 12 : The Primitive Element Theorem
session 22: Problem set 7 : Primitive elements
session 23: Tutorial 4 : Finite Fields and Primitive Elements
session 24: Lecture 13 : Normal Extensions
session 25: Lecture 14 : Galois group of a Galois Extension I
session 26: Lecture 15 : Galois group of a Galois Extension II
session 27: Problem set 8 : Fundamental Theorem of Galois Theory
session 28: Tutorial 5 : Fundamental Theorem of Galois Theory
session 29: Lecture 16 : Applications and Illustrations of the FTGT
session 30: Lecture 17 : Cyclotomic Extensions I
session 31: Lecture 18 : Cyclotomic Extensions II
session 32: Problem Set 9 : Cyclotomic Extensions
session 33: Lecture 19 : Abelian and Cyclic Extensions
session 34: Lecture 20 : Cyclic Extensions and Solvable Groups
session 35: Tutorial 6 : Cyclotomic Extensions
session 36: Lecture 21 : Galois Groups of Composite Extensions
session 37: Lecture 22 : Solvability by Radicals
session 38: Problem Set 10 : Solvability by Radicals
session 39: Lecture 23 : Solutions of Cubic and Quartic Equations
session 40: Lecture 24 : Galois Groups of Quartic Polynomials
session 41: Problem Set 11 : Galois groups of Quartic Polynomials.
session 42: Tutorial 7 : Galois Groups of Quartics and Solvability by Radicals
session 43: Lecture 25 : Norm, Trace and Hilbert's Theorem 90
session 44: Problem Set 12 : Cyclic Extensions
session 45: Lecture 26 : Polynomials with Galois Group Sn:

Catalogue records

nptel: 111101001 (manifestation)