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Introduction to Application of Derivatives

Last Updated: 06 May 2026

Derivative of a variable y with respect to x is defined as the ratio between the change in y and the change in x, depending upon the condition that changes in x should be ...read more

PYQ on Complex Analysis

Last Updated: 15 November 2025

In the examination, questions from Complex Analysis are often asked in the form of evaluating complex integrals, finding residues, checking analyticity, or determining har...read more

Engineering Mathematics

Calculus

Mobius Transformation

Last Updated: 12 November 2025

In complex analysis, a Mobius transformation (also known as a linear fractional transformation) is a special type of function that maps the extended complex plane (includi...read more

Engineering Mathematics

Calculus

Conformal Mapping

Last Updated: 12 November 2025

Conformal mapping is an important concept in complex analysis that refers to a function that preserves angles and shapes of infinitesimally small figures, though it may ch...read more

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Engineering Mathematics

Calculus

PYQ on Ordinary Differential Equation of Higher Order

Last Updated: 08 November 2025

In examinations, questions from Ordinary Differential Equations (ODEs) of higher order are often asked in the form of solving second or higher-order linear differential eq...read more

Engineering Mathematics

Calculus

Simultaneous linear differential equations

Last Updated: 01 November 2025

If two or more dependent variables are functions of a single independent variable and their derivatives are involved, they are called simultaneous differential equations.T...read more

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Engineering Mathematics

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

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

Mathematics

Calculus

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

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

Mathematics

Maths

Calculus

Differential Calculus - PYQs | Engineering Mathematics

Last Updated: 17 September 2025

In examinations, questions from Differential Calculus are frequently asked in the form of limits, continuity, and differentiability checks, as well as derivative-based pro...read more

Engineering Mathematics

Maths

Calculus

Taylor Theorem

Last Updated: 30 January 2026

In calculus, Taylor's Theorem gives a way to approximate a function near a point using its derivative at that point. This makes it easier to work with complicated function...read more

Engineering Mathematics

Maths

Calculus

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

Mathematics

Maths

Calculus

Real life Applications of Limits

Last Updated: 27 October 2025

Limits are used in calculus to define derivatives, continuity, and integrals, and they are defined as the approaching value of the function as the input approaches a speci...read more

Real Life Application

Practice Question on Differentiation Solved and Unsolved (Hard)

Last Updated: 23 July 2025

Differentiation is a fundamental concept in calculus that measures how a function changes as input changes. It is used in various fields, such as physics, engineering, an...read more

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