---------- UNIT 1 ------------
Unit 1 Matrices
Unit-1 Matrices-Introduction
Unit-1 Diagonalisation of Matrix by Orthogonal Transformation
Unit-1 Nature of Quadratic Forms
Unit-1 Quadratic Form
Unit-1 Properties of Eigen Values & Eigen Vectors
Unit-1 Eigen Values & Vectors (Three by three Matrix)
Unit-1 Caley-Hamilton Theorem
Unit-1 Eigen Values & Vectors
Unit-1 Eulers Linear Differential Equ
Unit-1 Legendre's Equ
Unit-1 Ordinary Diff Equ intro
Unit-1 Ordinary Diff Equ intro P2
Unit-1 Simultaneous 1st order equ
---------- UNIT 2 ------------
Unit-2 Three Dimensional Analytical Geometry (Example Problem)
Unit-2 Three Dimensional Analytical Geometry (Equation & Right Circular Cylinder)
Unit-2 Three Dimensional Analytical Geometry (Equation f a Cone & Right Circular Cone)
Unit-2 Three Dimensional Analytical Geometry (Equation of Sphere,Tangent Plane)
---------- UNIT 3 ------------
Unit-3 Evolutes and Involutes
Unit-3 Center and Circle Of Curvature
Unit-3 Example Problem to Find Radius of Curvature on the Curve
Unit-3 Differential Calculas(Curvature in Cartesian Co-ordinates)
Unit-3 Examples of Envelopes, Evolute as Envelpe of Normals
Unit-3 Analytic Function Properties
Unit-3 Analytics Functions
Unit-3 Bilinear Transformation
Unit-3 Conformal Mapping Function
Unit-3 Conformal Mapping Function
Unit-3 Harmonic Conjugates
---------- UNIT 4 ------------
Unit-4 Method of Lagrangian Multipliers
Unit-4 Maxima and Minima
Unit-4 Taylor's Expansion
Unit-4 Differentiation of Implict Functions, Jacobians
Unit-4 Total Derivatives
Unit-4 Euler's Theorem For Homogenous Functions
Unit-4 Partial Derivatives
Unit-4 Method of Lagrangian Multipliers
Unit-4 Partial Derivatives
Unit-4 Taylor Series
Unit-4 Singularity chuchys
Unit - 4 Problem I Counter Integrals
Unit- 4 Type II Problem
Unit-4 Complex Integration
---------- UNIT 5 ------------
Unit-5 Multiple Integrals(Volume as Triple Integral)
Unit-5 Multiple Integrals, Cartesian & Polar Coordinates
Unit-5 Multiple Integrals(Double Integration,Cartsian & Polar Coordinates)
Unit-5 Multiple Integrals(Double Integration,Cartsian & Polar Coordinates)
Unit- 5 LT Derivative Integrals
Unit-5 Problem Laplace Transform
Unit-5 Problem Laplace Transform Periodic function
Unit- 5 Convolution Theorem