Calculus.py

A comprehensive Python toolkit for learning and visualizing single-variable calculus concepts through interactive demonstrations.

✨ Features

• Basic Rules: Power, Product, Chain, and Quotient rule demonstrations
• Fundamental Theorem: FTC Parts 1 & 2 with Riemann sum visualizations
• Derivatives: Complete library with pattern recognition and critical point analysis
• Integrals: Advanced techniques including integration by parts and u-substitution
• Interactive Games: Practice exercises with instant feedback
• Custom Explorer: Analyze user-defined functions

🚀 Quick Start

pip install calculus-learn-kit

Then run it.

calculus

Or build from the source:

# Clone and install
git clone https://github.com/aalotai1/calculus.py.git
cd calculus.py
pip install -r requirements.txt

# Run interactive toolkit
python src/main.py

📦 Dependencies

• NumPy - Numerical computations
• Matplotlib - Visualizations and plotting
• SymPy - Symbolic mathematics
• SciPy - Scientific computing

💻 Usage

from src.basic_rules_viz import CalculusRules
from src.derivatives_viz import CommonDerivatives

# Demonstrate calculus concepts
rules = CalculusRules()
rules.power_rule_demo(3)

derivatives = CommonDerivatives()
derivatives.demonstrate_derivative_patterns()

🏗️ Architecture

src/
├── *_core.py     # Mathematical computation engines
├── *_viz.py      # Visualization and demonstration layers
└── main.py       # Interactive CLI interface
test/
└── main_test.py  # Comprehensive test suite

Core Modules:

• basic_rules_* - Fundamental calculus rules
• fundamental_theorem_* - FTC demonstrations and Riemann sums
• derivatives_* - Comprehensive derivatives library
• integrals_* - Advanced integration techniques

🧪 Testing

python -m pytest test/ -v

📚 Educational Use

• Students: Visual learning with step-by-step demonstrations
• Educators: Lecture support and assignment generation
• Coverage: Calculus I/II, AP Calculus, University-level concepts

📄 License

MIT License.