Mathematics
-
Chain rule in less than 40 sec
-
Concept of derivative
-
From Limits to Tangent Lines
The Concept of Derivatives The derivative is one of the most fundamental ideas in calculus. While it seems abstract at first, its applications are all around you. At its essence, a derivative tells you how one quantity changes compared to another. Derivatives help you understand the dynamics of change. They are used for tracking the…
-
Derivative visualised
-
Understanding Differential Calculus Basics
Differential calculus, one of the cornerstones of mathematics, is a fascinating field that explores how things change. Differential calculus provides tools to measure and analyse changes in quantities. It can be applied to diverse situations. These range from the trajectory of a rocket to the growth rate of a business’s profits. What is Differential Calculus?…
-
Partial vs. Total Derivative
-
Understanding Multivariable Calculus Applications
Calculus is a mathematical powerhouse for understanding change and motion, with widespread applications in physics, engineering, and economics. But the world isn’t limited to one-dimensional problems—many phenomena are influenced by multiple factors at the same time. This is where multivariable calculus comes in, extending traditional calculus to functions that depend on several variables. What Is…
-
Use of Fourier Transform
-
Fourier Series and Transforms
Analysing Periodic Functions Understanding the patterns behind periodic functions—those that repeat over time—is crucial in fields ranging from signal processing to physics. The Fourier series and Fourier transforms are powerful mathematical techniques. They allow to breaking down of complex, repeating signals into simpler components. This breakdown reveals insights into their behavior and applications. The Power…
-
Parametric Equations explaine