MathPod

Introduction To Number Theory

Well Ordering Principle & Archimedean Property

Mathematical Induction-First and Second Principle

Divisibility |Part 1| Division algorithm

Divisibility |Part 2| Divisor "a divides b" and its basic properties

Divisibility |Part 3| Greatest Common Divisor

Divisibility |Part 4| Relative Primes, Euclid's Lemma

Divisibility |Part 5| Euclidean Algorithm

Bezout's Lemma

Divisibility |Part 6| Consequences of Euclidean Algorithm

Divisibility |Part 7| Least Common Multiple

Divisibility |Part 8| Relation of LCM and GCD

Generating Functions | Part 3 | Operations on Generating Functions

Digital Signature using RSA Algorithm

Finding Coefficient in an expansion| Generating Functions

Basic Solutions |Part 1| Linear Programming Problem- Basic /Feasible Solutions

Mathematics Behind Simplex Method |Part 3| Convex Sets, Convex Hull

Congruences| Example of linear congruence with two variables

Mathematics Behind Simplex Method |Part-6| What is Simplex

Euler Totient/Phi Function-Part 1

Greatest Integer Function-Part 1

Cryptography | Classical Cipher | Substitution Cipher Techniques

NLPP | Quadratic and Non Quadratic Forms, without constraints

Blum-Blum-Shub-Pseudo Random Number

Generating Functions | Part 1

Pascal's Identity| Algebraic and Combinatorial Proof

Euler Totient/Phi Function-Part 6

Arithmetic Functions |Part-2| Multiplicative Function

Random Numbers and Mid Square Method

Transportation Problem (Part-11): Loop in Transportation Problem

Arithmetic Functions |Part-1| Sum and Divisor Function

Generating Functions| Partitions of a positive integer|Identical objects into identical boxes

Linear Congruential Generator Method | Random Numbers

Congruences |Part 1| Definition of Congruence

Counting: Combinatorial Problems using Generating Functions

LPP Formulations | Practice Set | Part 1

Formulation |Part 1| Linear Programming Problem

Integer Programming Problem (Part-2) Branch and Bound Technique to Solve IPP

Classical Cryptography | Shift Cipher

Primitive Roots and Indices- Lecture 1

Primality Testing |Part-1| Fermat's Primality Test, Pseudo-Primality Test

Generating Functions| Distributing r identical Objects into n distinct objects

Assignment Problem (Part-3) Hungarian Method to solve Assignment Problem

Introduction to Optimization Techniques

Basic Solution |Part 2| Linear Programming Problem- Degenerate/Non-degenerate Basic Solution

Steepest Descent Method | Search Technique

Examples for RSA Cryptosystem

Integer Programming Problem (Part-1) What is IPP