## Video Lectures

Chapter 1 : Matrices
Topic : Matrices
Content : Matrix, types of matrices, adjoint method to find the inverse 67 MB ,46:38 MIN , MATHS SOLUTION

Chapter 1 : Matrices
Topic : Inverse of matrix by transformation method
Content : Inverse of matrix by transformation method 47 MB ,33:20 MIN , MATHS SOLUTION

Chapter 1 : Matrices
Topic : Rank of matrix
Content : Rank of matrix, Echelon(normal) form 60 MB ,42:45 MIN , MATHS SOLUTION

Chapter 1 : Matrices
Topic : Characteristics roots and characteristics vectors, Reduction of matrix to a diagonal matrix which has elements as characteristics values.
Content : Characteristics roots and characteristics vectors, Reduction of matrix to a diagonal matrix which has elements as characteristics values. 65 MB ,41:49 MIN , MATHS SOLUTION

Chapter 1 : Matrices
Topic : Properties of characteristic vectors
Content : Properties of characteristic vectors 43 MB ,27:29 MIN , MATHS SOLUTION

Chapter 1 : Matrices
Topic : Caley-Hamilton Theorem
Content : Problems on Caley-Hamilton Theorem 74 MB ,46:18 MIN , MATHS SOLUTION

Chapter 1 : Matrices
Topic : Problems on Matrices
Content : Problems on Matrices 99 MB ,1:2:35 MIN , MATHS SOLUTION

Chapter 1 : Matrices
Topic : System of linear Equation
Content : System of linear Equation, Homogeneous system, Non-homogeneous system, solutions of system of linear equations 70 MB ,50:11 MIN , MATHS SOLUTION

Chapter 1 : Matrices
Topic : Dependence and independence of vector
Content : Linearly Dependent and linearly independent vector 35 MB ,24:44 MIN , MATHS SOLUTION

Chapter 2 : Complex Numbers
Topic : Complex number and Graphical representation
Content : Complex number, Equality of complex numbers, Graphical representation of complex number(Argand�??s Diagram), Mathematical operation with complex numbers and their representation on Argand�??s Diagram 64 MB ,39:53 MIN , MATHS SOLUTION

Chapter 2 : Complex Number
Topic :  Polar form of complex numbers
Content :  Polar form of complex numbers, Polar form of x+iy for different signs of x,y, 43 MB ,25:26 MIN , MATHS SOLUTION

Chapter 2 : Complex Number
Topic :  Exponential form
Content :  Exponential form of complex numbers and powers and roots of complex numbers by De-moivre's theorem 64 MB ,39:51 MIN , MATHS SOLUTION

Chapter 2 : Complex Number
Topic : Circular functions and Hyperbolic function Inverse hyperbolic functions
Content : Circular functions of complex angles, Definition of hyperbolic function, Relations between circular and hyperbolic functions, Inverse hyperbolic functions, Differentiation and Integration, Graphs of the hyperbolic functions 58 MB ,35:26 MIN , MATHS SOLUTION

Chapter 2 : Complex Number
Topic :  Logarithms of complex numbers
Content :  Logarithms of complex quality 31 MB ,18:59 MIN , MATHS SOLUTION

Chapter 2 : Complex Numbers:
Topic : Practice Problems on Complex Numbers
Content : Practice Problems on Complex Numbers 30 MB ,18:52 MIN , MATHS SOLUTION

Chapter 3 : Linear Differential Equations with Constant Coefficients
Topic : Introduction, The Differential Operator, Linear Differential Equation f(D) y = 0, Different cases depending on the nature of the root of the equation f(D) = 0, Linear differential equation f(D) y = X
Content : Introduction, The Differential Operator, Linear Differential Equation f(D) y = 0, Different cases depending on the nature of the root of the equation f(D) = 0, Linear differential equation f(D) y = X 39 MB ,24:44 MIN , MATHS SOLUTION

Chapter 1 : Equation of the first order and of the first degree
Topic : Separation of variables
Content : Introduction of Differential Equation and its Application , Solving differential equation by Separation of variables 50 MB ,30:50 MIN , MATHS SOLUTION

Chapter 1 : Equation of the first order and of the first degree
Topic : Equations homogeneous in x and y
Content : Equations homogeneous in x and y 48 MB ,29:0 MIN , MATHS SOLUTION

Chapter 1 : Equation of the first order and of the first degree
Topic : Non-homogeneous linear equations
Content : Non-homogeneous linear equations 56 MB ,31:49 MIN , MATHS SOLUTION

Chapter 1 : Equation of the first order and of the first degree
Topic : Exact differential Equation
Content : Definition of Exact Differential Equation and Methods to find Solution of Exact Differential Equation 35 MB ,19:6 MIN , MATHS SOLUTION

Chapter 1 : Equation of the first order and of the first degree
Topic : Integrating Factor
Content : Integrating Factor 64 MB ,35:44 MIN , MATHS SOLUTION

Chapter 1 : Equation of the first order and of the first degree
Topic : Linear Equation and equation reducible to this form, Method of substitution.
Content : Linear Equation and equation reducible to this form, Method of substitution. 70 MB ,38:49 MIN , MATHS SOLUTION

Chapter 2 : Differential equation of the first order of a degree higher than the first
Topic : Introduction, Solvable for p (or the method of factors)
Content : Introduction, Solvable for p (or the method of factors) 56 MB ,32:10 MIN , MATHS SOLUTION

Chapter 2 : Differential equation of the first order of a degree higher than the first
Topic : Solve for y and Solve for x
Content : Solve for y and Solve for x 39 MB ,21:12 MIN , MATHS SOLUTION

Chapter 2 : Differential equation of the first order of a degree higher than the first
Topic : Clairaut's form of the equation, Methods of Substitution
Content : Clairaut's form of the equation, Methods of Substitution 36 MB ,21:44 MIN , MATHS SOLUTION

Chapter 3 : Linear Differential Equations with Constant Coefficients
Topic : The complimentary Function
Content : The complimentary Function 35 MB ,21:31 MIN , MATHS SOLUTION

Chapter 3 : Linear Differential Equations with Constant Coefficients
Topic : Particular Integral
Content : The inverse operator 1/f(D) and the symbolic expiration for the particular integral 1/f(D) X; the general methods, Particular integral : Short methods, Particular integral : Other methods 123 MB ,1:6:17 MIN , MATHS SOLUTION

Chapter 3 : Linear Differential Equations with Constant Coefficients
Topic : Differential equations reducible to the linear differential equations with constant coefficients.
Content : Cauchy Legender Method 83 MB ,44:46 MIN , MATHS SOLUTION

Chapter 1 : Laplace Transform
Topic : Introduction to Laplace Transform
Content : Introduction, Definition of the Laplace Transform 67 MB ,42:36 MIN , MATHS SOLUTION

Chapter 1 : Laplace Transform
Topic : Properties and Theorem on Laplace Transform
Content : Theorems on Important Properties of Laplace Transformation, First Shifting Theorem, Second Shifting Theorem, Laplace Transform of an Integral, Laplace Transform of Derivatives, Table of Elementary Laplace Transforms, 112 MB ,1:8:59 MIN , MATHS SOLUTION

Chapter 1 : Laplace Transform
Topic : Laplace Transform of sin and cos function
Content : Laplace Transform of sin and cos function, Laplace Transform of Derivatives, 35 MB ,21:1 MIN , MATHS SOLUTION

Chapter 1 : Laplace Transform
Topic : Convolution Theorem of Laplace transform
Content : The Convolution Theorem 81 MB ,50:44 MIN , MATHS SOLUTION

Chapter 2 : Inverse Laplace Transform
Topic : Inverse Laplace Transform
Content : Inverse Laplace Transform, Properties, Shifting Theorem, Partial fraction Methods, Use of Convolution Theorem 87 MB ,57:53 MIN , MATHS SOLUTION

Chapter 2 : Inverse Laplace Transform
Topic : Application of Laplace transform
Content : Application of Laplace transform, Solution of Ordinary Linear Differential Equations with Constant Coefficients 39 MB ,26:11 MIN , MATHS SOLUTION

Chapter 2 : Inverse Laplace Transform
Topic : Laplace transform of special functions
Content : Laplace Transformation of Special Function, Periodic Functions, Heaviside Unit Step Function, Dirac-delta Function(Unit Impulse Function) 54 MB ,32:35 MIN , MATHS SOLUTION

Chapter 1 : The Laplace Transform:
Topic : Practice Problems on Laplace Transform
Content : Practice Problems on Laplace Transform 65 MB ,39:14 MIN , MATHS SOLUTION

Chapter 1 : Multiple Integrals
Topic : Introduction
Content : Introduction to double and triple integration 15 MB ,9:35 MIN , MATHS SOLUTION

Chapter 1 : Multiple Integrals
Topic : Double Integral , Triple integrals
Content : How to solve double and triple integrals 57 MB ,34:8 MIN , MATHS SOLUTION

Chapter 1 : Multiple Integrals
Topic : Change of the order of the integration
Content : Solving integration by changing its order 41 MB ,28:9 MIN , MATHS SOLUTION

Chapter 1 : Multiple Integrals
Topic : Double integral in polar co-ordinates
Content : How to solve a double integration using polar co-ordinates 37 MB ,24:42 MIN , MATHS SOLUTION

Chapter 1 : Multiple Integrals
Topic : Triple integral in polar co-ordinates
Content : how to solve triple integration using polar co-ordinates 50 MB ,33:56 MIN , MATHS SOLUTION

Chapter 2 : Application of Integration
Topic : Application of double integration
Content : how to find area using double integration 35 MB ,24:33 MIN , MATHS SOLUTION

Chapter 2 : Application of Integration
Topic : Triple Integration
Content : How to find volume using triple integration 22 MB ,15:6 MIN , MATHS SOLUTION

Chapter 2 : Application of Integration
Topic : Problems on Areas, Volumes of solids.
Content : Problems on Areas, Volumes of solids. 88 MB ,56:41 MIN , MATHS SOLUTION

Chapter 1 : Beta and Gamma function
Topic : Beta function
Content : Beta function and properties 66 MB ,41:30 MIN , MATHS SOLUTION

Chapter 1 : Beta and Gamma function
Topic : Gamma function
Content : Gamma function and properties 52 MB ,34:34 MIN , MATHS SOLUTION

Chapter 1 : Beta and Gamma function
Topic : Relationship between Beta and Gamma function
Content : Relationship between Beta and Gamma function 61 MB ,37:24 MIN , MATHS SOLUTION

Chapter 1 : Beta and Gamma function
Topic : Problems on Beta and gamma Function
Content : Problems on Beta and gamma Function 50 MB ,35:12 MIN , MATHS SOLUTION

Chapter 2 : Differentiation Under the Integral Sign
Topic : Differentiation Under the Integral Sign
Content : Differentiation Under the Integral Sign 91 MB ,56:49 MIN , MATHS SOLUTION

Chapter 3 : Error Functions
Topic : Error Functions
Content : Error Functions 86 MB ,55:14 MIN , MATHS SOLUTION

Chapter 1 : Beta and Gamma Functions
Topic : Practice Problems on Beta and Gamma Functions
Content : Practice Problems on Beta and Gamma Functions 28 MB ,18:52 MIN , MATHS SOLUTION

## The Shikshak App

The Shikshak App is an honest attempt to provide quality education. 