This is a preliminary treatment of topics in functions, limit, continuity, differentiation and theory of equations, and applications of differentiation like Taylor\' theorem, Piccard\'s iteration, conic sections,circle,ellipse, parabola, hyperbola,tangents, normals, curvature, asymptotes,pole and polars, diameters, envelopes, differential calculus for +2 level in CBSE, ICSE and various state councils in India and equivalent courses abroad. This also contains fundamentals required for IITJEE and other entrance examinations.