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School Learning / Mathematics

Mathematics

5.6K+ posts

Introduction to Linear Algebra

Last Updated: 18 April 2026

Linear Algebra is the branch of mathematics that studies vectors, matrices, and linear equations and how they interact. It’s about solving systems like the following:\begi...read more

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Divergence and Solenoidal Vector Fields in Calculus

Last Updated: 18 February 2026

In vector calculus, divergence tells us how much a vector field spreads out from a point, while a solenoidal vector field is one whose divergence is zero everywhere. These...read more

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Lines Parallel to the Same Line

Last Updated: 27 February 2026

Parallel lines are straight lines that lie in the same plane and never intersect, no matter how far they are extended in either direction. The distance between parallel li...read more

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Epsilon in Maths

Last Updated: 05 December 2025

In mathematics, the symbol epsilon (ε) is used to denote a very small positive quantity. It appears in topics like limits, calculus, analysis, inequalities, approximation,...read more

PYQ on Probability and Statistics | Engineering Mathematics

Last Updated: 01 November 2025

In examinations, questions on Probability and Statistics are considered very important. Most PYQs are based on basic definitions, formulas, and standard theorems related t...read more

Vector Differentiation

Last Updated: 08 October 2025

In Engineering Mathematics, vectors are used to represent physical quantities that have magnitude and direction, such as displacement, velocity. Often, these vectors chang...read more

Vector-Calculus

Vector Calculus Identities

Last Updated: 06 October 2025

Vectors are fundamental tools in engineering, mathematics, and physics. They are widely used in mechanics, electromagnetism, fluid dynamics, and computer graphics. Vector ...read more

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Vector-Calculus

PYQs on Multivariable Calculus - 1 | Engineering Mathematics

Last Updated: 03 October 2025

In examinations, questions from Multivariable calculus are frequently asked in the form of evaluating double and triple integrals, changing the order of integration, as we...read more

Change of Variables

Last Updated: 03 October 2025

Sometimes, it is hard to solve an integral using the given variables like x and y. So, we change the variables to new ones, like u and v, which makes the integral easier. ...read more

Change of Order of Integration

Last Updated: 30 September 2025

When we evaluate a double integral, we add up the values of a function over a region by integrating one variable first and then the other. Sometimes, the given order of in...read more

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Multiple Integral

Last Updated: 29 September 2025

Integration is a mathematical tool used to calculate areas, volumes, mass, and many other quantities. When a function depends on more than one variable, multiple integrals...read more

Divisibility Rule for 15

Last Updated: 15 September 2025

Divisibility rules are shortcuts or tricks in mathematics that help us quickly check whether a number is divisible by another number without doing the full division.These ...read more

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Number Divisibility

Divisibility Rule for 16

Last Updated: 18 September 2025

Divisibility ruleshelp us quickly determine if a number can be divided evenly by another without performing long division. A number is divisible by 16 if any one of the fo...read more

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Number Divisibility

Successive Differentiation

Last Updated: 12 September 2025

Successive differentiation is the process of differentiating a function repeatedly, as many times as required. The derivatives obtained at each stage are called successiv...read more

Diagonalization of a Matrix

Last Updated: 02 September 2025

The process of converting a square matrix into diagonal form using a similarity transformation is called diagonalization. A matrix A is diagonalizable if there exists an i...read more

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