Welcome to the Calculus Introduction page! 📚 This course is designed to help you grasp the foundational concepts of calculus, a powerful branch of mathematics used to study change and motion. Let’s dive into the basics!
🌟 What is Calculus?
Calculus is divided into two main areas:
- Differential Calculus - Focuses on rates of change and slopes of curves.
- Integral Calculus - Deals with accumulation and the area under curves.
🧠 Key Concepts
- Limits: The foundation of calculus, used to define derivatives and integrals.
- Derivatives: Measure how a function changes as its input changes.
- Integrals: Sum up infinitesimal quantities to find total values.
- Series: Sum of infinite terms, essential for approximations and analysis.
🛠️ Applications
Calculus is widely applied in:
- Physics (motion, acceleration)
- Engineering (optimization, fluid dynamics)
- Economics (marginal cost, growth models)
- Computer Science (machine learning, algorithms)
For a deeper dive into limits and continuity, check out our Limits and Continuity Course. 🚀
Let me know if you'd like to explore more!