V.L-1

V.L-2

V.L-3

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1.1

1.2

1.3

-

1.1

1.2

1.3

1

Fourier series of functions of 2π or any other period

1.1

1.2

1.3

1

Dirichlet’s condition for convergence of Fourier series

1.1

1.2

1.3

1

Fourier series of even and odd functions

1.1

1.2

1.3

1

Half-range Fourier series

1.1

1.2

1.3

1

V.L-2

V.L-3

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2.1

2.2

2.3

-

Formation of partial differential equations

2.1 2.1.1

2.2

2.3

2​

Solution of first order linear and non-linear partial differential equations

2.1 2.1.1

2.2 

2.3 2.3.1

2

Charpit’s method

2.1

2.2

2.3

2

Solution of homogeneous and non-homogeneous linear PDEs of second and higher order by complementary function and particular integral method

2.1

2.2

2.3 2.3.1

2

Classification of second order linear partial differential equations

2.1

2.2

2.3

2

Method of separation of variables

2.1

2.2

2.3

2

One-dimensional wave equation and heat equation

2.1

2.2 2.2.1

2.3 2.3.1

2

V.L-1

V.L-2

V.L-3

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Quick Formula Learning & All In One Shot

Laplace transform

6.1

6.2

6.3

6

Inverse Laplace transform

6.1

6.2

6.3

6

Linearity

6.1

6.2

6.3

6

First shifting theorem (s-shifting)

6.1

6.2

6.3

6

Transforms of derivatives 

6.1

6.2

6.3

6

Transforms of integrals​

6.1

6.2

6.3

6

Laplace transform of periodic functions​

6.1

6.2

6.3

6

Short impulses, Dirac’s delta function

6.1

6.2

6.3

6

Convolution​

6.1

6.2 6.2.1

6.3

6

Integral equations

6.1

6.2

6.3

6

Differentiation and integration of transforms

6.1

6.2 6.2.1

6.3

6

ODEs with variable coefficients

6.1

6.2

6.3

6

Systems of ODEs

6.1

6.2

6.3

6