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STEM · Mathematics

Calculus

Noun
US US /ˈkælkjələs/ GB UK /ˈkæl.kjʊ.ləs/
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STEM Mathematics intermediate

Definition

Branch of mathematics studying continuous change through derivatives (rates of change) and integrals (accumulation of quantities)

Visual Reference

Calculus illustration

Detailed Explanation

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Example

Differential calculus finds the rate of change: if position s(t) = t2, then velocity v(t) = ds/dt = 2t. Integral calculus reverses this: integral2t dt = t2 + C.

In Practice

Engineers use calculus to design roller coasters, calculating the exact curvatures needed for safe G-forces, optimal speeds at each point, and structural load requirements.

Video Explanation

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Case Study

Newton and Leibniz independently developed calculus in the late 17th century. Today, calculus underpins GPS navigation, weather prediction, medical imaging, and virtually every engineering discipline.

Word Usage

Used across various IT applications and business environments.

STEM Mathematics

Use Case

Practical application in IT systems and business operations.

Also Known As

IntegralDifferential EquationDerivativemathematics

Antonyms

ArithmeticAlgebra

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