Lecture 1 - Error analysis and estimates, significant digits, convergence Lecture 2 - Roots of Non-linear equations, Bisection method Lecture 3 - Newton Raphson method, Secant method Lecture 4 - Newton Raphson Method Lecture 5 - Newton Raphson Method (example), Curve fitting and interpolation of data Lecture 6 - Newton’s interpolation formula, statistical interpolation of data Lecture 7 - Linear and Polynomial regression Lecture 8 - Numerical differentiation Lecture 9 - Numerical differentiation, Error analysis Lecture 10 - Numerical integration, Trapezoidal rule Lecture 11 - Simpson’s 1/3rd rule Lecture 12 - Simpson’s 1/3rd rule, Gaussian integration Lecture 13 - Ordinary Differential equations Lecture 14 - Solution of differential equation, Taylor series and Euler method Lecture 15 - Heun’s method Lecture 16 - Runge Kutta method Lecture 17 - Examples of differential equation: Heat conduction equation Lecture 18 - Introduction to Monte Carlo technique Lecture 19 - Details of the Monte Carlo method Lecture 20 - Importance sampling Lecture 21 - Applications: Ising model Lecture 22 - Introduction to Molecular Dynamics Lecture 23 - Verlet algorithm Lecture 24 - Applications of Molecular dynamics