Function of one variable; limits, continuity, differentiability, I'Hopital's rule mean value theorem, Maclaurin and Taylor series, Leibnitz's theorem for differentiation. Integration; evaluation of arc-length, area of surface of revolution, volume of solid of revolution, methods of integration such as integration by parts, by algebraic and trigonometric substitution, partial fractions. Infinite series; arithmetic and geometric series, convergence of infinite series, tests for convergence, General linear ordinary differential equation with constant coefficients; solution of homogeneous equations, Euler-Cauchy differential equation. Matrices; solution of linear equations. Cramer’s rule, elementary row operations, Gauss' elimination method, lower- upper decomposition. Linear system of first order.