Lecture 1: Basics of Sets and Logic by Krishnakant Yadav (10 Jan 2025, Fri)
(Notes - Video)
Lecture 2: Basics of Sets and Logic II by Krishnakant Yadav (13 Jan 2025, Mon)
(Notes - Video)
Discussion Session 1 (15 Jan 2025, Wed)
Lecture 3: A Brief Intro to Relations and Functions by Abhishek Rajan (18 Jan 2025, Sat)
(Notes - Video)
Lecture 4: Need of Equivalence Relation, Basics of Modular Arithmetic & Division Algorithm by Abhishek Rajan (22 Jan 2025, Wed)
(Notes - Video)
Discussion Session 2 (24 Jan 2025, Thu, Online)
Lecture 5: Introduction to Group Theory by Arpit Trivedi (27 Jan 2025, Mon*)
(Notes - Video)
Lecture 6: A Brief Introduction to Subgroups by Arpit Trivedi (31 Jan 2025, Fri)
(Notes - Video)
Discussion Session 3 (01 Feb 2025, Sat)
Lecture 7: Cyclic Group and External Product by Arpit Trivedi (05 Feb 2025, Wed)
(Notes - Video)
Discussion Session 4 (07 Feb 2025, Fri)
Lecture 8: Concept of Permutation and Alternating Group by Arpit Trivedi (08 Feb 2025, Sat)
(Notes - Video)
Lecture 9: Introduction to Cosets by Arpit Trivedi (14 Feb 2025, Fri*)
(Notes - Video)
Lecture 10: Traversing the Maps of Groups by Purnima Tiwari (17 Feb 2025, Mon*)
(Notes)
Lecture 11: On Cayley's Theorem and Group Actions by Purnima Tiwari (19 Feb 2025, Wed)
(Notes)
Discussion Session 5 (20 Feb 2025, Thurs)
Lecture 12: Orbits, Stabilizers, and Beyond: Exploring the Dynamics of Group Actions by Purnima Tiwari (21 Feb 2025, Fri)
(Notes)
Discussion Session 6
Lecture 13: Non-Abelian Groups, Representation Theory of Groups, Automorphism Group, and all that by Aayush Verma (22 Feb 2025, Sat)
(Notes)
Discussion Session 7
Lecture 14: On p-Sylow groups, nilpotency, Lie groups and so on by Purnima Tiwari and Aayush Verma (13 Mar 2025, Thurs*, Online)
(Slides1, Slides2 - Video)
Discussion Session 8
*Rescheduled Date