Numerical Analysis is a graduate course that deals with utilizing basic computer programming to derive solutions to functions that are otherwise too tedious or time consuming to derive by standard methods. Topics covered include Gaussian Quadratures, Forward and Backward Interpolation, Newton’s Method, Secant Method, Lagrange Method, Legendre Polynomials, Euler Method, Bisection Method, Fixed Point Iteration, Integration, Differentiation, to name a few. Real-world applications of these methods can be used in astronomy and aeronautics. Click on the links below to view the Microsoft Excel Files that I created during this course.
- Newton’s, Secant and Midpoint Methods to find solutions of trigonometric functions
- False Position and Fixed Point Methods to find solutions of functions that are difficult to derive by hand
- Lagrange Method of approximating polynomials
- Lagrange Method of approximating polynomials
- Three-point and Five-point Methods
- Simpson’s, Midpoint and Trapezoidal Methods