Course Weekly Lecture Plan

Week	Topic
1	Introduction to Numerical Methods: Functions, Taylor series, algorithms, errors in numerical methods
2	Nonlinear Equations with a single unknown: Fixed point iteration, bisection method
3	Newton-Raphson Method, Secant Method
4	Nonlinear systems of equations
5	Linear algebraic equations: Gauss elimination, LU decomposition, Thomas algoritm
6	Iterative methods: Jacobi, Gauss-Seidel, Successive Over Relaxation
7	Interpolation: Newton and Lagrange polynomials
8	Spline interpolation
9	Curve fitting: Least-squares regression
10	Numerical differantiation: Trapezoidal rule
11	Numerical integration: Simpson's rule, Gauss quadrature
12	Ordinary differential equations: Euler's and Heun's methods
13	Ordinary differential equations: Runge-Kutta methods
14	Numerical solutions to partial differential equations