https://github.com/dataspieler12345/mathematics_for_ai

Mathematics for AI
https://github.com/dataspieler12345/mathematics_for_ai

jupyter-notebook matplotlib-pyplot numpy python sympy-library

Last synced: about 2 months ago
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Mathematics for AI

• Host: GitHub
• URL: https://github.com/dataspieler12345/mathematics_for_ai
• Owner: DataSpieler12345
• Created: 2025-07-07T14:45:02.000Z (5 months ago)
• Default Branch: main
• Last Pushed: 2025-07-07T15:05:16.000Z (5 months ago)
• Last Synced: 2025-07-22T19:12:19.938Z (4 months ago)
• Topics: jupyter-notebook, matplotlib-pyplot, numpy, python, sympy-library
• Language: Jupyter Notebook
• Homepage:
• Size: 51.8 KB
• Stars: 0
• Watchers: 0
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

          
# 🚀 Mathematics for AI Beginners

[![License: MIT](https://img.shields.io/badge/License-MIT-blue.svg)](LICENSE) [![Python 3.8+](https://img.shields.io/badge/Python-3.8%2B-blue.svg)](https://www.python.org/) [![Jupyter](https://img.shields.io/badge/Jupyter-Notebook-orange.svg)](https://jupyter.org/)



## 📖 About  

A beginner-friendly mini-project demonstrating symbolic differentiation and integration with Python. We explore 12 derivative exercises and 12 integral exercises using Sympy, visualized in Jupyter Notebook.

## 📋 Table of Contents  

1. [Installation](#installation)  

2. [Usage](#usage)  

3. [Exercises](#exercises)  

   - [Derivatives](#derivatives)  

   - [Integrals](#integrals)  

4. [Tech Stack](#tech-stack)  

5. [Contributing](#contributing)  

6. [License](#license)

## ⚙️ Installation  

```bash

# 1. Clone the repo  

git clone https://github.com/your-username/your-repo.git  

cd your-repo  

# 2. Create & activate virtual environment  

python3 -m venv venv  

source venv/bin/activate          # macOS/Linux  

# venv\Scripts\Activate.ps1       # Windows PowerShell  

# 3. Install dependencies  

pip install -r requirements.txt  

# Launch Jupyter Notebook  

jupyter notebook calculus_project.ipynb

Work through the Derivatives section first, then Integrals.

Code cells render results in framed LaTeX for clarity.

## ▶️ Usage

* Ensure your virtual environment is activated

* Launch the notebook:

jupyter notebook calculus_project.ipynb

Complete the Derivatives section first, then Integrals

Each code cell displays the result as a framed LaTeX equation for clarity

## 🧮 Exercises

📈 Derivatives

Power rule, product rule, quotient rule, chain rule

12 worked examples:

1. x**3 - 5*x**2 + 2*x - 1

2. sin(x)*exp(x)

3. log(x)/x

4. cos(x)**2

5. exp(-2*x)

6. tan(x)

7. sqrt(x)

8. (3*x+1)**5

9. x**x

10. atan(x)

11. sin(x**2)

12. log(x,10)

📉 Integrals

Power integrals, trigonometric identities, substitution, integration by parts

12 worked examples:

1. ∫ x^3 dx

2. ∫ 1/(x^2+1) dx

3. ∫ sin^2(x) dx

4. ∫ x*exp(x) dx

5. ∫ exp(-2*x) dx

6. ∫ log(x) dx

7. ∫ cos(x) dx

8. ∫ tan(x) dx

9. ∫ x^2*cos(x) dx

10. ∫ 2*x/(x^2+1) dx

11. ∫ sin(3*x) dx

12. ∫₀^∞ exp(-x) dx

🧰 Tech Stack

* Python 3.8+

* Sympy for symbolic math

* NumPy & Matplotlib for numerical checks & plots

* Jupyter Notebook for interactive presentation

🤝 Contributing

* Fork the repository

* Create a new branch

git checkout -b feature/your-feature

* Commit your changes

git commit -m "Add some feature"

git commit -m "Add some feature"

* Push to your branch

git push origin feature/your-feature

* Open a Pull Request

👉🏽 Please follow the existing style and update documentation as needed.

📜 License

 @ This project is licensed under the MIT License. See LICENSE for details.