## Description

Unit I: Algebra, vectors and geometry

solution of equations

linear algebra: Determinants, matrices

vector Algebra and solid Geometry

Unit II: calculus

differential Calculus and its applications

partial differentiation and its applications

integral calculus and its applications

multiple Integrals and Beta, Gamma functions

vector calculus and its applications

Unit III: series

infinite series

Fourier series

Unit IV: differential equations

differential equations of first order

applications of differential equations of first order

linear differential equations

applications of linear differential equations

differential equations of other types

series solution of differential equations and special functions

partial differential equations

applications of partial differential equations

Unit V: complex analysis

complex Numbers and functions

calculus of complex functions

Unit VI: transforms

Laplace transforms

Fourier transforms

z-transforms

Unit VII: numerical techniques

empirical laws and curve-fitting

statistical methods

probability and distributions

sampling and inference

Numerical solution of equations

finite difference and interpolation

Numerical differentiation and integration

difference equations

Numerical solution of ordinary differential equations

Numerical solution of partial differential equations

Unit VIII: special topics

linear programming

calculus of variations.

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