Chapter 1 : Mathematical Modeling and Engineering Problem Solving
Topic : Mathematical Model, Conservation Laws and Engineering Problems
Content : Mathematical Modeling of Newton's 2nd Law of Motion 29 MB ,19:38 MIN , THEORY

Chapter 2 : Approximations and Round-off Errors
Topic : Significant Figures, Accuracy and Precision, Error Definitions, Round-off Errors
Content : Absolute Errors, Relative Errors, Percentage Errors 45 MB ,32:36 MIN , THEORY

Chapter 3 : Truncation Errors and the Taylor Series
Topic : The Taylor Series, Error Propagation , Total Numerical Errors, Formulation Errors and Data Uncertainty
Content : Blunders 42 MB ,32:21 MIN , THEORY

Chapter 1 : Solution of Algebraic and Transcendental Equations
Topic : Introduction
Content : Algebraic and Transcendental Equations 7 MB ,4:54 MIN , THEORY

Chapter 1 : Solution of Algebraic and Transcendental Equations
Topic : The Bisection Method, The Regula-falsi Method
Content : Examples based on Bisection method, Examples based on Regula-falsi Method 26 MB ,18:41 MIN , THEORY + PRACTICAL

Chapter 1 : Solution of Algebraic and Transcendental Equations
Topic : The Newton-Raphson Method; The Secant Method
Content : Examples based on Newton-Raphson Method ; Examples based on Secant Method 24 MB ,17:31 MIN , THEORY + PRACTICAL

Chapter 2 : Interpolation
Topic : Forward Difference, Backward Difference
Content : Finite Difference; Forward Difference Operator; Backward difference operator ; Shift Operator; Relation between Forward , Backward and shift operators 38 MB ,28:18 MIN , THEORY + PRACTICAL

Chapter 2 : Interpolation
Topic : Newton's Forward Difference Interpolation, Newton's Backward Difference Interpolation, Lagrange's Interpolation
Content : Examples based on Newton's Forward and Newton's Backward Interpolation, Examples based on Lagrange's Interpolation 28 MB ,20:11 MIN , THEORY + PRACTICAL

Chapter 1 : Solutions of Simultaneous Algebraic Equations (Linear)
Topic : Gauss-Jordan Method, Gauss-Seidel Method
Content : Examples based on Gauss-Jordan and Gauss- Seidel method 42 MB ,29:5 MIN , THEORY + PRACTICAL

Chapter 2 : Numerical Differentiation and Integration
Topic : Numerical Differentiation
Content : Formula for Equally Spaced Values of the Arguments; Formula for Unqually Spaced Values of the Arguments; Examples based on Numerical Differentiation 21 MB ,15:25 MIN , THEORY + PRACTICAL

Chapter 2 : Numerical Differentiation and Integration
Topic : Numerical Integration Using Trapezoidal Rule, Simpson's 1/3rd and 3/8th Rule
Content : Examples based on Numerical Integration 15 MB ,11:13 MIN , THEORY + PRACTICAL

Chapter 3 : Numerical Solution of First and Second Order Differential Equations
Topic : Taylor Series , Euler's Method
Content : Examples based on Taylor Series Method and Euler's Method 35 MB ,25:51 MIN , THEORY + PRACTICAL

Chapter 3 : Numerical Solution of First and Second Order Differential Equations
Topic : Modified Euler's Method
Content : Examples based on Modified Euler's Method 15 MB ,11:6 MIN , THEORY + PRACTICAL

Chapter 3 : Numerical Solution of First and Second Order Differential Equations
Topic : Runge-Kutta Method for 1st and 2nd Order Differential Equations
Content : Examples based on Runge- Kutta Method 13 MB ,9:42 MIN , THEORY + PRACTICAL

Chapter 1 : Least-Square Regression
Topic : Regression
Content : Regression 12 MB ,6:58 MIN , MATHS SOLUTION

Chapter 1 : Least-Square Regression
Topic : Linear Regression
Content : Linear Regression 5 MB ,3:8 MIN , THEORY

Chapter 1 : Least-Square Regression
Topic : General Linear Least-Square
Content : Least-Square Lines 26 MB ,15:20 MIN , MATHS SOLUTION

Chapter 1 : Least-Square Regression
Topic : Non-Linear Regression
Content : Polynomial Regression 46 MB ,25:2 MIN , MATHS SOLUTION

Chapter 1 : Least-Square Regression
Topic : General Linear Least-Squares
Content : Fitting of Straight Line 12 MB ,7:39 MIN , MATHS SOLUTION

Chapter 1 : Least-Square Regression
Topic : Linear Regression
Content : Regression line of X on Y 20 MB ,12:30 MIN , MATHS SOLUTION

Chapter 1 : Least-Square Regression
Topic : Linear Regression
Content : Regression Lines of Y on X 28 MB ,17:51 MIN , MATHS SOLUTION

Chapter 1 : Least-Square Regression
Topic : Linear Regression
Content : Properties of Regression Coefficient 14 MB ,8:52 MIN , MATHS SOLUTION

Chapter 1 : Least-Square Regression
Topic : Non-Linear Regression
Content : Second-Degree Parabola 14 MB ,9:7 MIN , MATHS SOLUTION

Chapter 1 : Least-Square Regression
Topic : Multiple Linear Regression
Content : Multiple Linear Regression 10 MB ,6:14 MIN , MATHS SOLUTION

Chapter 2 : Linear Programing
Topic : Linear Programing
Content : Introduction 7 MB ,4:29 MIN , THEORY

Chapter 2 : Linear Programing
Topic : Linear Programing
Content : Formulation 14 MB ,8:41 MIN , MATHS SOLUTION

Chapter 2 : Linear Programing
Topic : Linear Programing
Content : Formulation 9 MB ,5:41 MIN , MATHS SOLUTION

Chapter 2 : Linear Programing
Topic : Linear Programing
Content : Solution of LPP 32 MB ,21:33 MIN , MATHS SOLUTION

Chapter 2 : Linear Programing
Topic : Linear Programing
Content : Solution of LPP 29 MB ,18:35 MIN , MATHS SOLUTION

Chapter 1 : Random Variable
Topic : Random Variables
Content : Discrete & Continuous Random Variables 7 MB ,4:29 MIN , THEORY

Chapter 1 : Random Variable
Topic : Discrete Random Variable
Content : Probability Distribution and Probability Mass Function 11 MB ,6:48 MIN , MATHS SOLUTION

Chapter 1 : Random Variable
Topic : Discrete Random Variable
Content : Probability Distribution Numerical 7 MB ,4:53 MIN , MATHS SOLUTION

Chapter 1 : Random Variable
Topic : Discrete Random Variable
Content : Cumulative Distribution Function 10 MB ,6:49 MIN , MATHS SOLUTION

Chapter 1 : Random Variable
Topic : Discrete Random Variable
Content : Expected Value & Variance 13 MB ,8:5 MIN , MATHS SOLUTION

Chapter 1 : Random Variable
Topic : Continuous Random Variable
Content : Probability Density Function, Cumulative Distribution Function 24 MB ,14:51 MIN , MATHS SOLUTION

Chapter 1 : Random Variable
Topic : Continuous Random Variable
Content : Expected Value, Variance 19 MB ,11:59 MIN , MATHS SOLUTION

Chapter 2 : Distributions
Topic : Discrete Distribution
Content : Uniform Distribution 8 MB ,5:24 MIN , MATHS SOLUTION

Chapter 2 : Distributions
Topic : Discrete Distribution
Content : Bernoulli Distribution 5 MB ,2:58 MIN , THEORY

Chapter 2 : Distributions
Topic : Discrete Distribution
Content : Binomial Distribution 23 MB ,14:40 MIN , MATHS SOLUTION

Chapter 2 : Distributions
Topic : Discrete Distribution
Content : Poissons Distribution 17 MB ,11:8 MIN , MATHS SOLUTION

Chapter 2 : Distributions
Topic : Continuous Distribution
Content : Exponential Distribution 19 MB ,12:21 MIN , MATHS SOLUTION

Chapter 2 : Distributions
Topic : Continuous Distribution
Content : Uniform Distribution 20 MB ,12:49 MIN , MATHS SOLUTION

Chapter 2 : Distributions
Topic : Continuous Distribution
Content : Normal Distribution 17 MB ,8:16 MIN , MATHS SOLUTION