Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus.

The word Calculus comes from Latin meaning "small stone", Because it is like understanding something by looking at small pieces. Differential Calculus cuts something into small pieces to find how it changes. Integral Calculus joins (integrates) …

It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor’s Manual and a student Study Guide. The complete textbook (PDF) is also available as a single file.

Mar 30, 2025 · calculus, branch of mathematics concerned with the calculation of instantaneous rates of change (differential calculus) and the summation of infinitely many small factors to determine some whole (integral calculus).

Jan 18, 2022 · We will discuss many of the basic manipulations of logarithms that commonly occur in Calculus (and higher) classes. Included is a discussion of the natural (\(\ln(x)\)) and common logarithm (\(\log(x)\)) as well as the change of base formula.

Jan 16, 2023 · Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. Calculus has two primary branches: differential calculus and integral calculus. Multivariable calculus is the extension of calculus in one variable to …

Calculus is the branch of mathematics that deals with continuous change. Calculus is also called infinitesimal calculus or “the calculus of infinitesimals”. The meaning of classical calculus is the study of continuous change of functions.

Apr 7, 2025 · This section explores differential calculus, focusing on derivatives and their applications. You will learn differentiation rules, including the power, product, quotient, and chain rules, along with real-life applications such as rate of change, extrema, and curve sketching.

Jul 24, 2024 · Calculus is the study of rates of change. Gottfried Leibniz and Isaac Newton, 17th-century mathematicians, both invented calculus independently. Newton invented it first, but Leibniz created the notations that mathematicians use today.

The text guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them.