Math and Physics Educational Platform API

This project is a FastAPI-based backend API for a Math and Physics Educational Platform. It provides various endpoints for mathematical calculations, physics simulations, and data visualizations. The platform is designed to be easily extendable and can be used as a foundation for educational tools or scientific computing applications.

Features

• Complex function visualization
• Fourier transform analysis
• Differential equation solver
• Projectile motion simulation
• Damped harmonic motion simulation

Project Structure

math_physics_platform/
├── app/
│   ├── __init__.py
│   ├── main.py
│   ├── api/
│   │   ├── __init__.py
│   │   ├── math_routes.py
│   │   └── physics_routes.py
│   ├── core/
│   │   ├── __init__.py
│   │   └── config.py
│   ├── models/
│   │   └── __init__.py
│   ├── services/
│   │   ├── __init__.py
│   │   ├── math_service.py
│   │   └── physics_service.py
│   └── utils/
│       ├── __init__.py
│       └── plotting.py
├── tests/
│   └── __init__.py
├── .env
├── .gitignore
├── Dockerfile
├── requirements.txt
└── README.md

Setup

1. Clone the repository:

   git clone https://github.com/raheesahmed/math-physics-learning-platform.git
   

2. Create a virtual environment and activate it:

   python -m venv venv
   source venv/bin/activate  # On Windows use `venv\Scripts\activate`
   

3. Install the required packages:

   pip install -r requirements.txt
   

4. Create a .env file in the root directory and add the following:

   PROJECT_NAME=Math and Physics Educational Platform
   PROJECT_VERSION=1.0.0
   ALLOWED_ORIGINS=http://localhost:3000
   

5. Run the FastAPI server:

   uvicorn app.main:app --reload
   

The server will start running on http://localhost:8000.

API Endpoints

Mathematics

1. Complex Function Visualization

   • Endpoint: POST /api/math/complex_function
   • Payload:

     {
       "function": "z^2",
       "x_range": [-5, 5],
       "y_range": [-5, 5]
     }

2. Fourier Transform

   • Endpoint: POST /api/math/fourier_transform
   • Payload:

     {
       "signal_type": "sine",
       "frequency": 10,
       "duration": 1,
       "sample_rate": 1000
     }

3. Differential Equation Solver

   • Endpoint: POST /api/math/differential_equation
   • Payload:

     {
       "equation_type": "predator_prey",
       "parameters": {"a": 1.0, "b": 0.1, "c": 1.5, "d": 0.075},
       "initial_conditions": [10, 5],
       "t_span": [0, 30]
     }

Physics

1. Projectile Motion

   • Endpoint: POST /api/physics/projectile_motion
   • Payload:

     {
       "initial_velocity": 50,
       "angle_degrees": 45,
       "gravity": 9.8
     }

2. Damped Harmonic Motion

   • Endpoint: POST /api/physics/damped_harmonic_motion
   • Payload:

     {
       "mass": 1,
       "spring_constant": 10,
       "damping_coefficient": 0.5,
       "initial_displacement": 1,
       "initial_velocity": 0,
       "duration": 10
     }

CHECK MORE ABOUT CODE here CODE DOCS

Usage Examples

You can use curl to test the API endpoints. Here are some examples:

1. Complex Function Visualization:

   curl -X POST "http://localhost:8000/api/math/complex_function" \
        -H "Content-Type: application/json" \
        -d '{"function": "z^2", "x_range": [-2, 2], "y_range": [-2, 2]}'

2. Fourier Transform:

   curl -X POST "http://localhost:8000/api/math/fourier_transform" \
        -H "Content-Type: application/json" \
        -d '{"signal_type": "sine", "frequency": 10, "duration": 1, "sample_rate": 1000}'

3. Differential Equation Solver:

   curl -X POST "http://localhost:8000/api/math/differential_equation" \
        -H "Content-Type: application/json" \
        -d '{
            "equation_type": "predator_prey",
            "parameters": {"a": 1.0, "b": 0.1, "c": 1.5, "d": 0.075},
            "initial_conditions": [10, 5],
            "t_span": [0, 30]
        }'

4. Projectile Motion:

   curl -X POST "http://localhost:8000/api/physics/projectile_motion" \
        -H "Content-Type: application/json" \
        -d '{"initial_velocity": 50, "angle_degrees": 45, "gravity": 9.8}'

5. Damped Harmonic Motion:

   curl -X POST "http://localhost:8000/api/physics/damped_harmonic_motion" \
        -H "Content-Type: application/json" \
        -d '{"mass": 1, "spring_constant": 10, "damping_coefficient": 0.5, "initial_displacement": 1, "initial_velocity": 0, "duration": 10}'

Docker Support

To run the application using Docker:

1. Build the Docker image:

   docker build -t math-physics-platform .
   

2. Run the Docker container:

   docker run -p 8000:8000 math-physics-platform
   

The API will be available at http://localhost:8000.

Contributing

Contributions to this project are welcome! Please fork the repository and submit a pull request with your changes.

License

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

Contact

For any questions or concerns, please open an issue on the GitHub repository.