Course Weekly Lecture Plan

Week	Topic
1	Core Python: Python interpreter, data structures, operators, conditionals and loops
2	Python Functions and Modules: variable scope, functions, modules, file I/O
3	Python Mathematics Modules: math functions, numpy, scipy, matplotlib
4	Systems of Linear Equations: Solvability condition, Gaussian Elimination
5	Iteration Methods- Jacobi Method, Gauss-Seidel
6	Interpolation and Approximation: Newtons divided differences, Lagrange’s Method
7	Interpolation and Regression: Interpolation using spline functions, Least squares fit
8	Rootfinding: Bisection Method, Newton-Raphson Method
9	Rootfinding: Secant Method, Fixed Point Iteration Stability
10	Numerical Differentiation: Finite difference approximations, Richardson Extrapolation
11	Numerical Integration: The trapezoidal and Simpson Rules
12	Numerical Integration: Romberg Numerical Integration
13	Initial Value Problems: Euler’s Method
14	Initial Value Problems: Runge-Kutta Methods