Calculus is a branch of mathematics focused on limits, derivatives, integrals, and infinite series. It is one of the most important branches of mathematics and is used extensively in science, engineering, economics, and many other fields.

Basic Concepts

  • Limit: A limit is the value that a function or sequence "approaches" as the independent variable approaches a particular value.
  • Derivative: The derivative of a function measures the rate at which the function changes with respect to its input.
  • Integral: The integral of a function is the area under the curve of the function.
  • Series: A series is an infinite sum of terms.

Applications

Calculus has numerous applications in various fields. Here are a few examples:

  • Physics: Calculus is used to describe motion, force, and energy.
  • Engineering: It is used to design structures, machines, and systems.
  • Economics: Calculus is used to analyze economic models and optimize resources.

For more information on calculus and its applications, you can visit our Calculus Guide.

Images

Here are some images related to calculus concepts:

limit
derivative
integral

Resources

If you are interested in learning more about calculus, here are some resources you can explore: