Numerical analysis concerns the development of algorithms for solving various types of problems of mathematics; it is a vast-ranging field having deep interaction with computer science, mathematics, engineering, and the sciences. Numerical analysis mainly consists of Numerical Integration, Numerical Differentiation and finding Roots numerically. In this paper we develop an algorithm combination of Numerical Integration (Trapezoidal rule, Simpson’s 𝟏𝟏/𝟑𝟑 rule, Simpson’s 𝟑𝟑/𝟖𝟖 rule and Weddle’s rule.), Numerical Differentiation (Euler, modified Euler and Runge- Kutta second and fourth order) and finding Roots (Bisection method and False position method) numerically.