https://github.com/imd10/math317-numerical-methods

A collection of Python implementations of numerical methods based on the pseudocodes from MATH317 lectures, including Bisection, Horner's method, Complete Horner's method, Newton's method, and Polynomial evaluation techniques.
https://github.com/imd10/math317-numerical-methods

bisection-method horners-method mathematics newtons-method numerical-methods polynomial

Last synced: 8 months ago
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A collection of Python implementations of numerical methods based on the pseudocodes from MATH317 lectures, including Bisection, Horner's method, Complete Horner's method, Newton's method, and Polynomial evaluation techniques.

• Host: GitHub
• URL: https://github.com/imd10/math317-numerical-methods
• Owner: iMD10
• Created: 2024-11-17T09:58:21.000Z (about 1 year ago)
• Default Branch: main
• Last Pushed: 2024-11-20T18:44:44.000Z (about 1 year ago)
• Last Synced: 2025-06-28T11:05:23.682Z (8 months ago)
• Topics: bisection-method, horners-method, mathematics, newtons-method, numerical-methods, polynomial
• Language: Python
• Homepage:
• Size: 22.5 KB
• Stars: 3
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

          
# MATH317: Numerical Methods in Python

![image](https://i.pinimg.com/originals/f2/07/a8/f207a8f3cda30d3fbbc2383e6a433bf8.gif)

Welcome to the **MATH317: Numerical Methods** repository! This project contains Python implementations of various numerical methods covered in the MATH317 course. Each method is implemented based on the pseudocodes provided during lectures, with clear examples and explanations.

---

## 📚 Course Topics

This repository includes implementations of the following numerical methods:

- **Bisection Method**: A root-finding technique that repeatedly bisects an interval to converge to a root.

- **Horner's Method**: An efficient way to evaluate polynomials at a given value.

- **Complete Horner's Method**: Extends Horner's method to compute derivatives as well.

- **Newton's Method**: An iterative method for finding successively better approximations to the roots of a function.

- **Polynomial Operations**: Basic operations like addition, multiplication, and evaluation of polynomials.

---

## 📂 Repository Structure

```plaintext

MATH317-NumericalMethods/

├── bisection.py          # Implementation of the Bisection Method

├── testBisection.py      # Implementation of Bisection Method Test

├── horner.py             # Implementation of Horner's Method

├── complete_horner.py    # Implementation of Complete Horner's Method

├── newton.py             # Implementation of Newton's Method

├── polynomial.py         # Basic polynomial operations

└── README.md             # This documentation