Mathematics

 Probability

Introduction To Probability
Probability Worked Out Example 01
Conditional Probability Easiest Way
Bayes’ Theorem Easiest Way
Random Variable And Its Distribution
Distribution Function Of Random Variables
Introduction To Cumulative Distribution Function, Marginal Probability And Joint Density Function
Mathematical Expectation of Random Variables With Examples And Expected Value Formula
Variance Formula of Random Variable With Example
What is Covariance?
All About Moment Generating Function With Examples
Binomial Distribution With Examples
Poisson Distribution With Examples
Normal Distribution With Examples


 Statistics

Measure Of Central Tendency In Statistics
Arithmetic Mean formula With Example
Geometric Mean
Harmonic Mean
Median
Mode
Mean Median Mode
Measures of Dispersion
Standard Deviation Formula
Range the Absolute Measure of Dispersion
Quartile Deviation the Absolute Measure of Dispersion
Mean Deviation The Absolute Measure of Dispersion
Correlation – Definition, Types, Methods of Measurements
Scatter Diagram Method (Correlation)
Karl Pearson’s Coefficient Method (Correlation)


 Limit

Limits Definition And Complete Solution


 Differential Calculus

First Order Derivative Solution – Part I
First Order Derivative Solution – Part II
Second Order Derivative Solution
Successive Differentiation
Leibnitz’s Theorem


 Differential Equation

Introduction To Differential Equation – What? Why? How?
Cheat Sheet of First Order First Degree Differential Equation Solution Methods
21 Most Valuable Questions To Master – Separation Of Variables Method
Must Do Problems Of Homogeneous Differential Equation
All Things You Must Know About Exact Differential Equation
Uses of Integrating Factor To Solve Non Exact Differential Equation
The Actual Way to Solve Linear Differential Equation
Bernoulli’s Equation And Solution


 Numerical Methods

Bisection Method – Algorithm, Implementation in C with Solved Examples
Iteration Method or Fixed Point Iteration – Algorithm, Implementation in C With Solved Examples
Newton-Raphson Method – Algorithm, Implementation in C With Solved Examples
Gauss-Jacobi’s Iteration Method – Algorithm, Implementation in C With Solved Examples
Gauss Seidel Method – Algorithm, Implementation in C With Solved Examples
LU Decomposition Method – Algorithm, Implementation in C With Solved Examples
Trapezoidal Rule – Algorithm, Implementation in C With Solved Examples
Simpson’s 1/3rd Rule – Algorithm, Implementation in C With Solved Examples
Euler Method – Algorithm, Implementation in C With Solved Examples
Runge-Kutta Methods – Algorithm, Implementation in C With Solved Examples


 Linear Algebra

Introduction To Vector Space In Linear Algebra
All You Need To Know – Subspace of Vector Space
Linear Span / Generator of Vector Space
Linear Dependence and Linear Independence of Vectors