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