Course Archives    Theoretical Statistics and Mathematics Unit
Course: Algebra IV
Instructor: B Sury
Room: G26
Level: Undergraduate
Time: Currently offered
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. Hoffman and R. Kunze: Linear Algebra

Midterm Exam 30 marks
Assignment 20 marks
Final Exam 50 marks
Total 100 marks

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Past Exams
02.pdf 04.pdf 05.pdf 07.pdf 10.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf 18.pdf
07.pdf 12.pdf 14.pdf 15.pdf
02.pdf 03.pdf 04.pdf 05.pdf 09.pdf 12.pdf 13.pdf 15.pdf 16.pdf 17.pdf
Supplementary and Back Paper
03.pdf 04.pdf 12.pdf 15.pdf 16.pdf 16S.pdf 17.pdf

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