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
