Engineering Mathematics I includes topics in basic calculus and algebra. The focus is on differentiation and integration of functions involving inverse trigonometric functions, hyperbolic and inverse hyperbolic functions; improper integrals; series; vectors including line and plane equation; matrices including vector spaces, eigenvalues and eigenvectors; polar coordinates; and complex numbers including de Moivre theorem.

This course is about multivariable calculus of real and vector-valued functions. The basic theory of partial derivatives and multiple integrals of real functions with their applications are discussed. This theory is extended to vector valued functions to describe motion in space, directional derivatives, gradient, divergence and curl, line integrals, surface integrals and volume integral. Related theorems, namely Green’s Theorem, Stokes’ Theorem and Gauss’ Divergence Theorem and their applications are discussed.

This course discusses various numerical methods that can be used to solve problems involving non-linear equations, linear system, interpolation and curve fitting, numerical differentiation and integration, eigenvalue problem, ordinary differential equation and partial differential equation.