Welcome to the calculus learning guide! Whether you're just starting out or looking to deepen your understanding, this page is designed to help you navigate the world of calculus.

Basic Concepts

Calculus is the mathematical study of change. It's divided into two main branches: differential calculus and integral calculus.

  • Differential Calculus deals with the rates at which quantities change and the slopes of curves.
  • Integral Calculus involves the accumulation of quantities and the calculation of areas under curves.

Key Terms

Here are some essential terms in calculus:

  • Function: A relation between a set of inputs and a set of permissible outputs, where each input is related to exactly one output.
  • Limit: The value that a function or sequence "approaches" as the input or index approaches some value.
  • Derivative: The rate at which one quantity changes with respect to another.
  • Integral: The area under a curve or the accumulation of quantities.

Learning Resources

To help you get started, here are some resources you might find useful:

Calculus in Action

Calculus is used in various fields, including physics, engineering, economics, and more. Here's an example of how calculus is applied in physics:

  • Velocity and Acceleration: The velocity of an object is the rate at which its position changes over time. The acceleration is the rate at which velocity changes over time.

Useful Links

Calculus Equation