
Module 1  Fundamental Concepts




Lecture 1  Summation  Sigma notation, Shifting Indices, & Properties of Sigma
98:00




Annotated Notes  Lecture 1  Summation
(43 pages)




Homework 1  Fundamental Course  Summation
(16 pages)




Lecture 2  Sequence & Series
121:00




Annotated Notes  Lecture 2  Sequence & Series
(57 pages)




Homework 2  Fundamental Course  Sequence & Series
(13 pages)




Lecture 3  Geometric Progression
102:00




Annotated Notes  Lecture 3  Geometric Progression
(57 pages)




Homework 3  Fundamental Course  Geometric Progression
(13 pages)




Lecture 4A  Modular Arithmetic
116:00




Annotated Notes  Lecture 4A  Modular Arithmetic
(64 pages)




Homework 4  Fundamental Course  Modular Arithmetic
(9 pages)




Lecture 4B  Modular Arithmetic Part 2
128:00




Annotated Notes  Lecture 4B  Modular Arithmetic Part 2
(70 pages)




Homework 5  Fundamental Course  Modular Arithmetic
(22 pages)




Lecture 5A  Logarithm Definition and All Properties
61:00




Lecture 5B  Logarithm Exercise Questions
26:00




Lecture 5C  Logarithm Questions, Graph, and Log in Computer science
42:00




Annotated Notes  Lecture 5A5C  Logarithms and Properties
(110 pages)




Lecture 6  GATE PYQs on Fundamental Topics (Series and Logarithms)




Annotated Notes  Lecture 6  GATE PYQs on Fundamental Topics
(81 pages)



Module 2  Counting (Permutation & Combination)




YouTube Playlist Link for the Same Module




Lecture 1  Introduction to Combinatorics & Counting
6:00




Lecture 2  The Sum Rule
31:00




Lecture 3A  The Product Rule
30:00




Lecture 3B  Practice Questions
11:00




Lecture 4  The Subtraction Rule
31:00




Annotated Notes  Lecture 14  Basic Counting Principles
(95 pages)




Lecture 5  Practice Questions
30:00




Lecture 6  Counting By Case
25:00




Lecture 7  The Complement Rule
54:00




Lecture 8A  The Division Rule
14:00




Annotated Notes  Lecture 58A  The Complement, By Case Rule
(117 pages)




Lecture 8B  The Division Rule
51:00




Lecture 9  Factorial, nCr, nPr
14:00




Lecture 10  Permutation & Combination
28:00




Lecture 11  Combination
21:00




Annotated Notes  Lecture 8B11  Permutation & Combination
(112 pages)




Lecture 12  Practice Questions & the Most Common Mistake
64:00




Lecture 13  Two Standard Templates & More Practice Questions
18:00

