CSE330 Numerical Methods Lab

This repository contains Python implementations of various numerical methods and computational algorithms covered in the CSE330 Numerical Methods course in FALL 2024.

📚 Course Overview

This course focuses on implementing and understanding numerical methods for solving mathematical problems using Python. Topics include:

• Polynomial and Lagrange interpolation
• Newton's divided difference method
• Numerical differentiation techniques
• Richardson extrapolation
• Solving nonlinear equations
• Linear system solutions

📂 Repository Structure

Laboratory Sessions

• Lab 1: Introduction to Python

  • Python basics and fundamentals
  • Data structures and operations
  • NumPy & Pandas
  • File: Lab_1_Introduction_to_Python.ipynb
  • Data: lab1_data.csv

• Lab 2: Polynomial Interpolation

  • Polynomial fitting techniques
  • Interpolation methods (Vandermonde)
  • File: Lab_2_Polynomial_Interpolation.ipynb

• Lab 3: Lagrange Interpolation

  • Lagrange polynomial method
  • File: Lab_3_Lagrange_Interpolation.ipynb

• Lab 4: Newton's Divided Difference Interpolation

  • Newton's divided difference method
  • File: Lab_4_Newtons_Divided_Difference_Interpolation.ipynb

• Lab 5: Differentiation and Richardson Extrapolation

  • Richardson extrapolation method
  • Forward, backward and central differences
  • File: Lab_5_Differentiation_and_Richardson_Extrapolation.ipynb

• Lab 6: Nonlinear Equations

  • Root finding methods (Bisection)
  • Fixed point iteration
  • File: Lab_6_Nonlinear_Equations.ipynb

• Lab 7: Solving Linear Systems

  • Inverse Matrix
  • Gaussian elimination
  • File: Lab_7_Solving_Linear_System.ipynb

🛠️ Technologies Used

• Programming Language: Python 3.10.11
• Libraries:
  • NumPy (Numerical computations)
  • Pandas (Data manipulation)
  • Matplotlib (Data visualization)
  • SciPy (Scientific computing)
• Environment: Visual Studio Code

🚀 Getting Started

Prerequisites

• Python 3.10 installed
• Jupyter Notebook or VS Code
• Required Python libraries

Installation

1. Clone the repository:

git clone https://github.com/ShafiurShuvo/MAT316-Numerical-Methods.git
cd CSE330-Numerical-Methods

2. Install required packages:

pip install numpy pandas matplotlib scipy

3. Launch VS Code:

4. Open any .ipynb file to view and run the code

📊 Data Files

• lab1_data.csv: Sample dataset for Python introduction exercises

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