Real numbers, Sequences, Series, Power series, Limit, Continuity, Differentiability, Mean value theorems and applications, Linear Approximation, Newton and Picard method, Taylor's theorem (one variable), Approximation by polynomials, Critical points, Convexity, Curve tracing, Riemann Integral fundamental theorems of integral calculus, Improper integrals, Trapezoidal and Simpson's rules, Error Bounds, Space coordinates, Lines and Planes, Polar coordinates, Graphs of polar equations, Cylinders, Quadric surfaces, Volume, Area, Length, Continuity, Differentiability of vector functions, Arc Length, Curvature, Torsion, Serret-Frenet formulas, Functions of two or more variables, Partial Derivatives, Taylor's theorem and criteria for maxima/Minima/saddle points, Double and triple integrals, Jacobians, Surfaces and Suface Integrals, Vector Calculus, Green,Gauss and Stokes Theorems.