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The book is designed to serve as a textbook for the students of engineering. The book spread in fifteen chapters broadly discusses: Convergence and divergence of the infinite series. Mean value theorems and expansions of functions. Functions of several variables. Curvature, evolutes and envelopes. Curve tracing. Lengths, curves, volumes and surfaces of revolution. Multiple integrals. First order and first degree differential equations. Orthogonal trajectories and other geometrical application. Higher order differential equations. Linear differential equations with constant coefficients. Applications of differential equations. Laplace transforms. Vector calculus, gradient, divergence and curl of functions. Green's, Gauss's and Stoke's theorems.