Flow Chart of System of Equations

 

Determined, Over-determined, Under-determined System of equations

 

Introduction To Derivatives, Power rule, Chain Rule, Product Rule, Derivative of Implicit Functions, Higher Order derivatives.

 

Introduction To Limits, Some Useful Limits, Continuous and Discontinuous Functions.

 

Introduction To Function, Types of Functions and its graphs

 

Application Problems of Calculus

 

Properties of Fourier Transforms

 

Fourier Transform of Simple Functions, Fourier Sine Transform, Fourier Cosine Transform

 

Fourier Series Of Even & Odd Functions, Fourier Series of the functions with period 2L

 

Fourier Series of the Functions with period 2 pi

 

Fourier Series, Fourier Coefficients

 

Solution of Differential Equations By Laplace Transform

 

Heaviside's Expansion Formula

 

Convolution Theorem

 

Applications of Laplace Transform in the area of Science and Engineering

 

Inverse Laplace Transform by Integrals

 

Inverse Laplace Transform by Completing Square Method & By Partial Fraction Method

 

Inverse Laplace Transform by Completing Square Method

 

Inverse Laplace Transform & Its Properties

 

Laplace Transforms Of Special Functions

 

Some Important Property of Laplace Transforms, First shifting property, Second Shifting property, Change Scale property, Linear Property, Multiplication by t,

 

Laplace Transforms of Elementary Functions

 

Applications of Higher Order Differential Equations

The Cauchy-Euler Equation

Solution of Higher Order Non-Homogeneous Linear Differential Equations 2

Solution of Higher Order Non-Homogeneous Linear Differential Equations

Solution of Higher Order Homogeneous Differential Equations

Solution of Higher Order Homogeneous Differential Equations

Application of First order Differential Equations

Orthogonal Trajectories

Linear & Reducible to Linear Differential Equations

Integrating Factors & Solution of Non-Exact Differential Equations

Exact & Non-Exact Differential Equations

Exact Differential Equations

Non-Homogeneous Differential Equations

Solution of Homogeneous Differential Equations

Solution of Differential Equations of first order first degree by Variables separable Method

Formation of Differential Equations & Initial and Boundary conditions