Lecture No : Date Title & Link to notes Description
1 : Jan 10, 2019 Introduction  
2 : Jan 14, 2019 Relations  
3 : Jan 16, 2019 Groups  
4 : Jan 17, 2019 Subgroups (Pages 2-6)
5 : Jan 21, 2019 Cyclic Groups (Pages 6-8)
6 : Jan 22, 2019 More on Groups (Pages 9-11)
7 : Jan 23, 2019 Permutation Groups (Pages 11-14)
8 : Jan 24, 2019 Cycles in Permutation Groups  
9 : Feb 05, 2019 Alternating Group and Intro to Group Isomorphisms  
10 : Feb 06, 2019 Properties of Group Isomorphisms  
11 : Feb 08, 2019 Cayley’s Theorem, Automorphisms  
Minor 1 : Feb 10, 2019 Minor 1 Exam Paper  
12 : Feb 13, 2019 Cosets and their Properties  
13 : Feb 14, 2019 Lagrange’s Theorem and Corollaries  
14 : Feb 18, 2019 Applications of Lagrange’s Theorem, Orbit-Stabilizer Theorem  
15 : Feb 20, 2019 External Direct Products  
16 : Feb 27, 2019 Properties of External Direct Products  
17 : Feb 28, 2019 U(n) as External Direct Product, Normal Subgroups  
18 : Mar 01, 2019 Factor Groups  
19 : Mar 06, 2019 More Related Theorems and Internal Direct Products  
20 : Mar 07, 2019 Quiz 1  
21 : Mar 08, 2019 Quiz 1 Discussion  
22 : Mar 10, 2019 Internal Direct Product  
23 : Mar 11, 2019 Group Homomorphism  
24 : Mar 13, 2019 Properties and Fundamental Theorem of Homomorphism  
Minor 2 : Mar 16, 2019 Minor 2 Exam Paper  
25 : Mar 25, 2019 Fundamental Theorem of Finite Abelian Groups  
26 : Mar 27, 2019 Proof of Uniqueness in Fundamental Theorem  
27 : Mar 28, 2019 Conjugate Class and Class Equation  
28 : Apr 01, 2019 Sylow’s 1st Theorem and Sylow p-Subgroups  
29 : Apr 03, 2019 Sylow’s 2nd Theorem  
30 : Apr 04, 2019 Sylow’s 3rd Theorem  
31 : Apr 12, 2019 Introduction to Ring Theory  
32 : Apr 19, 2019 Ring Theory: Integral Domains and Fields May contain errors
33 : Apr 22, 2019 Characteristic of a Ring May contain errors
34 : Apr 24, 2019 Ideal and Prime Ideal Rings May contain errors
35 : Apr 25, 2019 Maximal Ideal and Ring Homomorphism May contain errors
Major : May 01, 2019 Major Exam Paper