Course Archives    Theoretical Statistics and Mathematics Unit

Course: Algebra IV     Instructor: B. Sury     Room: G26     Level: Undergraduate Time: Currently Offered

Syllabus Past Exams Syllabus (Field Theory) : Finite Fields. Field extensions, degree of a field extension. Ruler and compass constructions. Algebraic closure of a field. Transcendental bases. Galois theory in characteristic zero, Kummer extensions, cyclotomic extensions, impossibility of solving quintic equations. Time permitting: Galois theory in positive characteristic (separability, normality), Separable degree of an extension Reference Texts: 1. M. Artin: Algebra. 2. S. D. Dummit and M. R. Foote: Abstract Algebra. 3. I. N. Herstein: Topics in Algebra. 4. K. Homan and R. Kunze: Linear Algebra. Top of the page Past Exams

Midterm 02.pdf 04.pdf 05.pdf 07.pdf 10.pdf 12.pdf 13.pdf 14.pdf Semestral 02.pdf 03.pdf 04.pdf 09.jpg 12.pdf 13.pdf Supplementary and Back Paper 03.pdf 04.pdf 12.pdf Top of the page

[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute]