Course Archives    Theoretical Statistics and Mathematics Unit
Course: Algebra IV
Level: Undergraduate
Time: Currently not 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. Hoffman and R. Kunze: Linear Algebra

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Past Exams
Midterm
02.pdf 04.pdf 05.pdf 07.pdf 10.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf
Solution
07.pdf 12.pdf 14.pdf 15.pdf
Semestral
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]