Mathematics-II (Linear Algebra, Transform Calculus and Numerical Methods)

label_important 1.1 Matrix Introduction

label_important1.2 Real matrices: Symmetric, skew – symmetric, orthogonals

label_important 1.3 Rank of a matrix (Echelon form)

label_important 1.4 Rank of a matrix (Normal form or Canonical form)

label_important 1.5 Characteristic Equation

label_important 1.6 Eigen values and Eigen vectors

label_important 1.7 Properties of Eigen values and Eigen vectors

label_important 1.8 Cayley Hamilton Theorem

label_important 1.9 Diagonalization of matrix (Similarity Transformation)

label_important 1.10 Diagonalization of matrix (Orthogonal Transformation)

label_important 1.11 Quadratic forms and Nature of quadratic forms

label_important 2.1 The Iteration Method

label_important2.2 Newton-Raphson method

label_important 2.3 Interpolation (Introduction)

label_important 2.4 Newton’s divided difference interpolations

label_important 2.5 Newton’s forward and backward difference interpolation

label_important 2.6 Trapezoidal rule

label_important 2.7 Simpson’s 1/3 rule

label_important 2.8 Simpson’s 3/8 rule

label_important 3.1 Taylor’s series method

label_important3.2 Euler’s method

label_important 3.3 Modified Euler’s method

label_important3.4 Runge-Kutta method

label_important 3.5 Milne's predictor-corrector method

label_important3.6 Milne's predictor-corrector method

label_important 4.1 Laplace Transform

label_important4.2 Laplace Transform of some standard functions

label_important 4.3 First, Second Shifting Theorem and Change of scale property

label_important 4.4 Transform of Derivatives

label_important 4.5 Transform of Integrals

label_important 4.6 Laplace Transform of Periodic functions

label_important 4.7 Laplace Transform of unit step and unit Impulse functions

label_important 4.8 Inverse Laplace Transform

label_important 4.9 First and Second shifting Theorem, Change of Scale Property

label_important4.10 Inverse Laplace Transform of Derivatives

label_important 4.11 Multiplication by power of 's'

label_important 4.12 Convolution Theorem

label_important 4.13 Solving ordinary equations by Laplace Transforms