This document outlines the syllabus for an Engineering Mathematics course. It includes 8 units that cover topics in differential and integral calculus, vector calculus, linear algebra, differential equations, and engineering applications. Some key areas covered are derivatives and integrals of standard functions, indeterminate forms, partial differentiation, Taylor series expansions, vector operations, matrices, linear transformations, eigenvectors, first order differential equations, and curve sketching. The course aims to provide foundational mathematical skills needed for engineering studies.