Course Weekly Lecture Plan

Week	Topic
1	Introduction to numerical methods: Functions, Taylor Series, Algorithms, Numerical Errors
2	Solutions of a single non-linear equation: Direct Iteration, Bisection Method, False Position (Regula-Falsi) Method
3	Newton-Raphson and Secant Methods, Modified Secant Method
4	Solutions of non-linear systems of equations
5	Linear systems of equations: Gauss Elimination, LU Decomposition, Iterative Methods, Thomas Algoritm
6	Iterative Methods: Jacobi, Gauss-Seidel, SOR (Successive Over-Relaxation)
7	Newton Interpolation Polynomial and Lagrange Interpolation Polynomial - 1st MIDTERM EXAM
8	Spline Interpolation
9	Curve Fitting: Least Square Approximation
10	Numerical Integration and Numerical Differentiation: The Trapezoid Rule
11	Numerical Integration: Simpson Rule, Gauss-Legendre Integration (Gauss-Quadrature) - 2nd MIDTERM EXAM
12	Numerical Solution of Ordinary Differential Equations: Euler, Heun and Taylor Methods
13	Numerical Solution of Ordinary Differential Equations: Runge-Kutta Methods
14	Introduction to Solution of Partial Differential Equations