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Calculus

Last Updated : 10 Dec, 2025

Calculus, developed by Newton and Leibniz, is the branch of mathematics that helps us study how quantities change and how they accumulate. It allows us to understand motion, growth, rates, and areas under curves.

Calculus has two main parts:

  1. Differential Calculus – the study of derivatives and rates of change
  2. Integral Calculus – the study of accumulation, areas, and total values

Basics of Calculus

This section builds the foundation for calculus by introducing functions, graphs, limits, and continuity.

Differential Calculus

Differential calculus focuses on the concept of derivatives, which measure how a function changes at any point. This section covers basic rules, formulas, and real-life applications.

Derivatives of Common Functions

The derivatives of various types of functions are essential concepts in calculus used to analyze rates of change and the behavior of functions.

Integral Calculus

Integral calculus studies accumulation and the total effect of small changes. It also establishes the relationship between differentiation and integration through the Fundamental Theorem of Calculus.

Types of Integrals

There are different types of integrals used depending on the problem at hand. You will explore each type of integral here:

Advance Integrals

Differential Equations

Differential equations describe relationships between functions and their derivatives. They are widely used in physics, engineering, biology, and economics.

Types of Differential Equations:

Here you will explore the types of differential equations, each with its unique methods of solution.

Also, check: Calculus Cheat Sheet

Practice for Calculus

This section provides a series of practice quizzes and questions to reinforce your understanding of key calculus concepts. You'll test your knowledge on limits, continuity, maxima and minima, and integration through interactive exercises.

Programs for Calculus

This section offers practical programming solutions for implementing calculus operations. You’ll learn how to write efficient code in Python and MATLAB, enhancing your skills in applying mathematical concepts through programming.

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