Course Archives Theoretical Statistics and Mathematics Unit
Course: Algebra I
Instructor: Anita Naolekar
Room: G24
Level: Undergraduate
Time: Currently offered
Syllabus
Past Exams


Syllabus (Groups): Basic set theory: Equivalence relations and partitions. Zorn's lemma. Axiom of choice. Principle of induction. Groups, subgroups, homomorphisms. Modular arithmetic, quotient groups, isomorphism theorems. Groups acting on sets. Sylow's theorems. Permutation groups. Semidirect products, Free groups.

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


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Past Exams
Midterm
01.pdf 03.pdf 05.pdf 06.pdf 07.pdf 08.pdf 09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf 18.pdf
Solution
09.pdf 17.pdf
Semestral
01.pdf 02.pdf 05.pdf 06.pdf 09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf
Solution
09.pdf
Supplementary and Back Paper
01.pdf 05.pdf 06.pdf 10.pdf 11.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf

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[ Semester Schedule ][ SMU ] [Indian Statistical Institute]