Engineering Mathematics III (Semester 3)
Our Engineering Maths 3 covers 90+ topics including Laplace Transformation, Complex Variables, Linear Algebra Matrix Theory & more. Subscribe today!
Madhumita Bhattacharjee
Basics of Laplace Transformation
FREE PREVIEWLaplace Transformation of Standard Functions
Linearity Property & Its Application
Problems on Linearity Property & Change of Scale Property
First Shifting Property
Second Shifting Property
Effect Of Multiplication of t
Problems on Multiplication of t
Effect of Division by t
Laplace Transform of Derivatives of Function
Problems on Laplace Transform of Derivatives of Function
Laplace Transform of Integrals
Evaluation of Integrals using LT
Basics Of Inverse Laplace Transform
Shifting Theorem to Obtain ILT
Method of partial fraction to Obtain ILT
Continuation of Method of partial fraction to obtain ILT
Convolution theorem to obtain ILT
Continuation of Convolution theorem to obtain ILT
Determination of ILT using Derivatives
Finding ILT by using Integral
Introduction & Determination of Fourier coefficients by Euler's formula
Determination of Fourier Expansion in the interval (0,2π)
Fourier Series & use of Parseval identity
Continuation of finding Fourier Series in the interval (0,2π)
Continuation of finding Fourier Series in the interval (0,2π)
Determination of Fourier Expansion in the interval (-π,π)
Continuation of Determination of Fourier Expansion in the interval (-π,π)
Fourier series of Even & Odd function in the interval (-π,π)
Continuation Fourier series of Even and Odd function in the interval (-π,π)
Determination of Fourier Expansion in the interval (c,c+2l)
Fourier Series in the interval (0,2l) & change of interval
Fourier Series in the interval (-l,l)
Fourier Series of Even and Odd function in the interval (-l,l)
Half Range Cosine and Sine series
Half Range Cosine Series alongwith deduction
Introduction of Complex Variable
Analytic function, Cauchy-Reimann Equation & Problems
Determination of Constants if function is given to be analytic
Analytic function when real part is given by using Milne -Thompson's method
Analytic function when imaginary part is given by using Milne -Thompson's method
Analytic function when u-v or u+v is given by using Milne -Thompson's method
Harmonic function & determination of conjugate harmonic function
Analytic function when harmonic function is given
Orthogonal trajectories
Introduction to Eigen values & Eigen vectors of a Square Matrix
Properties & Problems on Eigen value & Eigen vectors
Determination of Eigen values & Eigen vectors when Eigen values are distinct
Determination of Eigen values & Eigen vectors when Eigen values are repeated
Determination of Eigen values and Eigen vectors when Eigen values are repeated but having same Eigen vectors
Characteristics roots & Characteristics vector of expression containing square matrix
Continuation To find Characteristic roots and Characteristic vector of expression containing square matrix
Cayley-Hamilton's Theorem & its application for solving problems
Continuation Cayley-Hamilton's Theorem & its application for solving problems
Similarity of a Matrix and Diagonalisable matrix
To show whether the given matrix is diagonalisable
To show that the given matrix is not diagonalisable
Function of a Square Matrix
Continuation of Function of Square matrix
Continuation of Function of Square matrix
Introduction to PDE & Numerical method for one dimensional wave equation
Numerical method to solve One dimensional wave equation
One dimensional Heat Flow equation
Numerical method to solve One dimensional Heat Flow equation
Numerical method for solving PDE using Bender Schmidt Formula
Continuation of Numerical method for solving PDE using Bender Schmidt Formula
Numerical method for solving PDE using Crank Nicholson Simplified Formula
Crank Nicholson Simplified Formula for solving problem
Introduction & Basics of Probability
Total Probability Theorem & Bayes Theorem
Total Probability Theorem & Bayes Theorem
Discrete & Continuous Random Variable
...Cont of Discrete & Continuous Random Variable
Expectation of Random Variable with Mean and Variance
...Cont for Expectation of Random Variable with Mean and Variance
Moment Generating Function
... Cont of Moment Generating Function
Numerical on Moment of Continuous Random Variable
Pre-requisite to Vector Calculus
Vector Differentiation, Basics of Gradient & Directional Derivative
Divergence & Curl of Vector point function
Properties Of Vector Field, Solenoidal & Irrotational
Numerical on Solenoidal & Irrotational vector
Vector Integration; Line Integral
Numerical on Line Integral & Work Done
Green's Theorem & its application
Work done by Green's Theorem
Verification of Green's Theorem
Stoke's Theorem & its application
Numerical on Stokes Theorem_1
Numerical on Stoke's Theorem_2