Engineering Mathematics

Linear Algebra: Matrices and Determinants; Systems of linear equations; Eigenvalues and Eigenvectors.

Calculus: Limit, continuity and differentiability; Successive differentiation; Partial differentiation; Maxima and
minima; Errors and approximations; Definite and improper integrals; Sequences and series; Test for
convergence; Power series; Taylor series.

Differential Equations: First order linear and non-linear differential equations; Higher order linear differential
equations with constant coefficients; Euler-Cauchy equation; Partial differential equations; Wave and heat
equations; Laplace’s equation.

Probability and Statistics: Random variables; Poisson, binomial and normal distributions; Mean, mode, median,
standard deviation; Confidence interval; Test of hypothesis; Correlation analysis; Regression analysis; Analysis
of variance; Control charts.

Numerical Methods: Numerical solutions of linear and non-linear algebraic equations; Numerical integration by
trapezoidal and Simpson’s rules; Single-step and multi-step numerical methods for differential equations.