Mathematics-III (Transforms and Vector Calculus)

label_important 1.1 Gradient

label_important1.2 Directional derivatives

label_important 1.3 Curl & Divergence

label_important 1.4 Solenoidal & Irrotational

label_important 1.5 Line Integral

label_important 1.6 Surface Integral

label_important 1.7 Volume Integral

label_important 1.8 Greens Theorem

label_important 1.9 Gauss Divergence Theorem

label_important 1.10 Stokes Theorem

label_important 2.1 Laplace transform

label_important2.2 Laplace Transform of Some Standard Functions

label_important 2.3 First, Second Shifting Theorem and Change of Scale Property

label_important 2.4 Transforms of Derivatives

label_important 2.5 Transforms of Integrals

label_important 2.6 Laplace Transform of Periodic Functions

label_important 2.7 Laplace Transform of Unit Step and Unit Impulse Functions

label_important 2.8 Inverse Laplace Transform

label_important 2.9 First and Second Shifting Theorem, Change of Scale of Property

label_important 2.10 Inverse Laplace Transform of Derivatives and Integrals

label_important 2.11 Multiplication by Power of s and Division by s

label_important 2.12 Convolution theorem

label_important 2.13 Solving Ordinary Equations by Laplace Transforms

label_important 3.1 Fourier series

label_important3.2 Function having points of discontinuity

label_important 3.3 Change of variable

label_important 3.4 Even and odd functions

label_important 3.5 Half range fourier series

label_important 4.1 Formation of PDE's by elimination of arbitrary constants

label_important4.2 Formation of PDE's by elimination of arbitrary functions

label_important 4.3 Solutions of standard first order partial differential equations

label_important 4.4 First Order Linear(Lagrange's) Equation

label_important 5.1 Higher Order Partial Differential Equation

label_important5.2 Complementary Function for a Non-homogenous Linear Equation

label_important 5.3 Classification of second order PDE

label_important 5.4 Method of separation of variables

label_important 5.5 Solutions of One dimensional wave equation

label_important5.6 Solutions of One dimensional Heat equation