# Educational

Please scroll down for the following categories.

Discrete | Numerical | Calculus | Matrix | Vector | Other

Discrete Mathematics:

Discrete Mathematics is a branch of Mathematics popularly connected with the Computer Science field. 21 videos are uploaded here. Link and a short description for each is given below.

Discrete Math  Lecture 21: Shortest Path in Graph Theory is described based on weightage on edges with example Graphs. Please see this video.

Discrete Math  Lecture 20: Circuit, Path and Eulerian Graphs in the Graph Theory are described with examples. Please see this video.

Discrete Math  Lecture 19: Representations of Graphs with Matrices are described with example Graphs. Isomorphism is also discussed. Please see this video.

Discrete Math  Lecture 18: Basics and definitions of Graph Theory are described here with examples. Please see this video.

Discrete Math  Lecture 17: Equivalence Relation and Partial Order are discussed in details with examples. Please see this video.

Discrete Math  Lecture 16: Relation and its Properties are described in details with examples. Please see this video.

Discrete Math  Lecture 15: Combination, an important topic in Combinatorics, is described here with real life application. Please see this video.

Discrete Math  Lecture 14: Permutation, an important topic in Combinatorics, is discussed with application problems. Please see this video.

Discrete Math  Lecture 13: Pigeonhole Principle or Pigeonhole Theory is described with details of real life application. Please see this video.

Discrete Math  Lecture 12: Recursion or Recursive Function or Successive Function is discussed with example problems. Please see this video.

Discrete Math  Lecture 11: Method of Induction Proof, also called Inductive Method Proof, is described with example problem. Please see this video.

Discrete Math  Lecture 10: Method of Contradiction Proof, also called Contradictory Proof, is described with example problem. Please see this video.

Discrete Math  Lecture 09: Indirect Method of Proof, also called Method of Contraposition, is described with example. Please see this video.

Discrete Math  Lecture 08: Methods of Proof is described with the proving techniques in details. Example problem is done by Direct Method. Please see this video.

Discrete Math  Lecture 07: Argument is discussed with details. Validity of argument is checked by using truth table and also inference rules. Please see this video.

Discrete Math  Lecture 06: Affine Code method is discussed in details by using Affine cipher function for data encryption and decryption. Please see this video.

Discrete Math  Lecture 05: Caesar Code method is discussed in details by using Caesar cipher function for data encryption and decryption. Please see this video.

Discrete Math  Lecture 04: Application of Check Digit is described with example calculations for ISBN, UPC, Credit/Debit Card numbers. Please see this video.

Discrete Math  Lecture 03: Check Digit Concept is discussed in details with example calculations of modulo operation. Please see this video.

Discrete Math  Lecture 02: Logical Equivalence is described with real life example statements and common Equivalence Laws of Proposition. Please see this video.

Discrete Math  Lecture 01: Concept of Propositional Logic is described with real life example statements and Connectives. Please see this video.

Numerical Analysis/Method:

Numerical Analysis is a branch of Mathematics popularly connected with the Engineering field. So far, 19 videos are uploaded here. Link and a short description for each is given below.

Numerical Analysis Lecture 18: Finding root of Ordinary First Order Differential Equation by using Runge-Kutta Method with example. Please see this video.

Numerical Analysis Lecture 17: Finding root of Ordinary First Order Differential Equation by using Euler’s Modified Method with example. Please see this video.

Numerical Analysis Lecture 16: Finding the value of definite integral by using Weddle’s Rule is discussed in details with example. Please see this video.

Numerical Analysis Lecture 15A: Finding the value of definite integral by using Simpson’s 3/8 Rule is discussed in details with example. Please see this video.

Numerical Analysis Lecture 15: Finding the value of definite integral by using Simpson’s 1/3 Rule is discussed in details with example. Please see this video.

Numerical Analysis Lecture 14: Finding the value of definite integral by using Trapezoidal Rule is discussed in details with example. Please see this video.

Numerical Analysis Lecture 13: Estimating the value of first derivative is discussed in details based on numerical calculations. Please see this video.

Numerical Analysis Lecture 12: Inverse Interpolation is discussed in details based on Lagrange’s Formula with example calculations. Please see this video.

Numerical Analysis Lecture 11: Lagrange’s Interpolation Formula is discussed in details for Unequal x-intervals with example calculations. Please see this video.

Numerical Analysis Lecture 10: Newton-Gregory Extrapolation Formula is discussed in details with example calculations. Please see this video.

Numerical Analysis Lecture 09: Newton-Gregory Backward Interpolation Formula is discussed in details with example calculations. Please see this video.

Numerical Analysis Lecture 08: Newton-Gregory Forward Interpolation Formula is discussed in details with example calculations. Please see this video.

Numerical Analysis Lecture 07: Difference Tables, Forward and Backward, are discussed with examples. Please see this video.

Numerical Analysis Lecture 06: This is on the root finding technique for transcendental equation by Newton-Raphson Method. Please see this video.

Numerical Analysis Lecture 05: This is on the root finding technique for transcendental equation by Secant Method. Please see this video.

Numerical Analysis Lecture 04: This is on the root finding technique for transcendental equation by Regula-Falsi Method. Please see this video.

Numerical Analysis Lecture 03 Bisection: This is on the root finding technique for transcendental equation by Bisection Method. Please see this video.

Numerical Analysis Lecture 02 Iteration: This is on the root finding technique for transcendental equation by Iteration Method. Please see this video.

Numerical Analysis Lecture 01 Error: This is on the basic concepts of Mistake and Error. Error types and Error propagation are explained with examples. Absolute Error and Relatives Error are calculated. Please see this video.

Calculus:

Calculus is one of the most famous branch of Mathematics connected with many different disciplines. So far, 12 videos are uploaded here. Link and a short description for each is given below.

Calculus Lecture 12: Techniques of finding Arc Length and Volume of revolution by Integration are discussed with example problems. Please see this video.

Calculus Lecture 11: Method of calculating the Area under the curve by using Integration is discussed with example problems. Please see this video.

Calculus Lecture 10: Definite Integral concept and techniques of finding integral value is discussed in details with example problems. Please see this video.

Calculus Lecture 09: Function of function concept in Integration is discussed here. Basic one degree function problems are solved with shortcut way. Please see this video.

Calculus Lecture 08: Integration by parts, commonly called as multiplication formula, is discussed in details with example problems. Please see this video.

Calculus Lecture 07: Basic concept and techniques of Integration are discussed in details with example problems. Please see this video.

Calculus Lecture 06: Maxima Minima in Differentiation is discussed in details with real life example problems. Please see this video.

Calculus Lecture 05: Successive Differentiation and Differentiation of Parametric Equations are discussed in details with example problems. Please see this video.

Calculus Lecture 04: Chain Rule in Differentiation and Differentiation of Implicit Function are discussed in details with example problems. Please see this video.

Calculus Lecture 03: Product Rule and Quotient Rule of Differentiation are discussed in details with example problems. Please see this video.

Calculus Lecture 02: This is on the fundamental concept of Differentiation and basic formula of Differentiation with examples. Please see this video.

Calculus Lecture 01: This is on the basic concepts of function, limit and continuity before starting Differentiation in Calculus. Please see this video.

Vector Analysis:

Vector is a branch of Mathematics and Engineering that gives the foundation concept of many other areas including mechanics, algebra, geometry, and calculus. So far, 3 videos are uploaded here. Link and a short description for each is given below.

Vector Lecture 03: This is on the graphical concept and calculations with example two three dimensional vectors. Please see this video.

Vector Lecture 02: This is on the graphical concept and basic operations with example calculations for three dimensional vectors. Please see this video.

Vector Lecture 01: This is on the basic concept of Vector and its operations with example calculations for two dimensional vectors. Please see this video.

Matrix Algebra:

Matrix Algebra is a basic branch of Mathematics that have utilities in many other areas including economics, business, engineering, and science. So far, 2 videos are uploaded here. Link and a short description for each is given below.

Matrix Lecture 02: This is on the Transpose, Co-factor, Adjoint and Inverse of Matrix and their example applications in real life. Please see this video.

Matrix Lecture 01: This is on the basic concept of Matrix and its operations with example application in real life. Please see this video.

Other Videos:

Under this category some extra videos are made, which are connected with miscellaneous topics related to Mathematics education. So far, 6 videos of this kind are uploaded here.

Proof by Method of Induction: This is one of the methods of proof that is usually used to prove a theory with series of numbers. The main concept and working steps are described with example. Please see this video.

Modulo Operation: Modulo Operation is a basic calculation technique in the number theory. Modulo, MOD in short form, is used as an operator or a function. The concept and applications are described with example. Please see this video.

Affine Cipher Code Data Encryption Example: Affine Ciphering is one of the methods for Data Encryption. This method is stronger than Caesar Cipher Code. The method of encryption and decryption is described with example. Please see this video.

Caesar Cipher Code Data Encryption Example: Caesar Ciphering is one of the methods for Data Encryption. The method is named on Roman Emperor Julius Caesar of around 100 years BC. This interesting idea is described with example. Please see this video.

Sum of infinite series with 1’s: Adding some whole numbers is fun, right? What about only 1’s? If the 1’s are plus and minus alternatively, it will be more fun. It will be exciting when the 1’s are unlimited with alternate signs. Please see this video.

Pascal’s Triangle 1st: Pascal’s Triangle is a triangle of calculated numbers. There is a pattern of calculations. And, off course there are connections with Mathematics, such as Combination formula and Binomial Theorem. Please see this 1st video.

Pascal’s Triangle 2nd: Numbers in Pascal’s Triangle are the coefficients of Binomial expansions. There is a pattern in these coefficients in Binomial Theorem. Please see the 2nd video.