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Maths

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Maths

Last Updated :
10 Sep, 2025

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var video_api_response = JSON.parse(“[]”);

Mathematics, often referred to as “math” for short. It is the study of numbers, quantities, shapes, structures, patterns, and relationships. It is a fundamental subject that explores the logical reasoning and systematic approach to solving problems. Mathematics is used extensively in various fields such as science, engineering, economics, computer science, and many others.

Maths

Join our free Maths for Computer Science course with daily topic-wise lessons, covering essential concepts. Each day ends with a quiz to reinforce learning.

Branches of Mathematics

Mathematics is made up of different branches that focus on various aspects of numbers and shapes. These include algebra, geometry, calculus, statistics, and many others, each with its own purpose and uses.

Arithmetic

Arithmetic is the branch of math that deals with basic numbers and operations like addition, subtraction, multiplication, and division. It’s the foundation of all math and is used in everyday tasks like shopping or budgeting.

Number Theory

Number Theory is a branch of mathematics that studies the properties and relationships of integers. It focuses on concepts like prime numbers, divisibility, and patterns in numbers.

Algebra

Algebra is a branch of mathematics that deals with symbols and the rules for manipulating them. It helps us solve problems by setting up equations and representing numbers with letters or symbols, making it easier to work with unknown values.

Geometry

Geometry is the branch of math that studies shapes, sizes, and the properties of space. It helps us understand things like angles, lines, circles, and areas.

Coordinate Geometry

Coordinate Geometry connects algebra and geometry using a coordinate system. It allows us to represent geometric shapes like points, lines, and curves on a graph using numbers and equations.

Trigonometry

Trigonometry is a branch of mathematics that studies the relationships between the angles and sides of triangles, especially right-angled triangles. Trigonometry defines six fundamental functions that relate the angles of a triangle to the lengths of its sides.

Vector Algebra

Vector Algebra deals with vectors, which are quantities that have both magnitude and direction. It helps in solving problems related to movement, force, and geometry in 2D or 3D space using simple mathematical operations.

Calculus

Calculus is a branch of mathematics that studies continuous change, using concepts such as derivatives, integrals, limits, and infinite series. It is foundational for various fields, including physics, engineering, economics, computer science, and more.

Combinatorics

Combinatorics is the study of counting, selecting, arranging, and grouping objects. It helps solve problems related to combinations, permutations, and probabilities in a simple and logical way.

Probability

Probability deals with events and quantifies their likelihood of occurring with numerical values ranging from 0 to 1. Higher probabilities indicate a greater chance of the event happening.

Statistics

Statistics is a branch of mathematics that deals with collecting, organizing, analyzing, and interpreting data. It helps in understanding patterns, making predictions, and drawing conclusions from data sets.

Set Theory

Set Theory is a branch of mathematics that studies collections of objects, called sets. It focuses on understanding relationships between sets, such as union, intersection, and difference.

Some Common Maths Topics

In addition to these branches, some common mathematical theorems and formulas are:

const rawVideoDataMap = null;

// Convert it into a JS Map
const videoDataMap = new Map(Object.entries(rawVideoDataMap));

document.addEventListener(‘DOMContentLoaded’, function () {
let currentlySelectedTile = document.getElementById(“video-info-container-title”);
let firstVideoH2;
let firstSelectedVideo
var videoPlayer = document.getElementById(‘video-iframe-container’);
if (!videoPlayer) return;

var videoIframe = videoPlayer.querySelector(‘iframe’);
if (!videoIframe) return;

// Safely inject PHP data as JSON into JavaScript
var resp = null;

function postToIframeWhenReady(iframe, data, maxAttempts = 20, intervalTime = 100) {
let attempts = 0;
const interval = setInterval(() => {
if (iframe && iframe.contentWindow) {
try {
iframe.contentWindow.postMessage(data, ‘*’);
clearInterval(interval);
} catch (err) {
console.warn(“❌ Failed to postMessage, retrying…”);
}
}
if (++attempts >= maxAttempts) {
console.warn(“⚠️ postMessage failed: iframe not ready after multiple attempts.”);
clearInterval(interval);
}
}, intervalTime);
}

// Call the function right after iframe is confirmed to exist
videoIframe.onload = function () {
postToIframeWhenReady(videoIframe, { resp: resp, inView: false });
};

const playlistContainer = document.getElementById(“video-playlist-container”);
if(playlistContainer) {
firstSelectedVideo = playlistContainer.querySelectorAll(‘.playlist-video-tile’)[0];
if(firstSelectedVideo) {
firstVideoH2 = firstSelectedVideo.querySelector(‘h2’);
firstVideoH2.style.setProperty(‘color’, ‘var(–discussion-button-color)’, ‘important’);
}
}

function changeCurrentPlayingVideoTitle(tile, autoplayed = true) {
const playlistVideoTileHeading = tile.querySelector(‘h2’);
if (playlistVideoTileHeading) {
if(!autoplayed && firstVideoH2.innerText !== playlistVideoTileHeading.innerText) {
firstVideoH2.style.setProperty(‘color’, ‘#EC4E20’, ‘important’);
}
if(autoplayed) {
let siblingElement = tile.previousElementSibling;
const siblingElementH2 = siblingElement.querySelector(‘h2’);
siblingElementH2.style.setProperty(‘color’, ‘#EC4E20’, ‘important’);
firstVideoH2 = playlistVideoTileHeading;
}
playlistVideoTileHeading.style.setProperty(‘color’, ‘var(–discussion-button-color)’, ‘important’);
if (currentlySelectedTile) {
currentlySelectedTile.innerText = playlistVideoTileHeading.innerText;
}
}
}
// Inject the video data map as a JS object
window.addEventListener(‘message’, function (event) {
if (event.data.type === ‘AUTOPLAYED_NEXT_VIDEO’ && event.data.autoplayPlaylistEnabled) {

// Changing the current video index on autoplaying the next video from playlist
const allVideoTiles = Array.from(document.querySelectorAll(‘.playlist-video-tile’));
changeCurrentPlayingVideoTitle(allVideoTiles[event.data.currentVideoIndex]);
}
});

if(playlistContainer) {
playlistContainer.addEventListener(‘click’, (event) => {
const tile = event.target.closest(‘.playlist-video-tile’);

// Find the index of the clicked tile
const allTiles = Array.from(playlistContainer.querySelectorAll(‘.playlist-video-tile’));
const currentIndex = allTiles.findIndex((el) => el === tile);

if (tile) {
const videoId = tile.getAttribute(‘data-video-id’);
const videoData = videoDataMap.get(videoId);
videoIframe.contentWindow.postMessage({ playlist: [videoData], inView: true, clickedVideoFromPlaylist: true, currentIndex: currentIndex }, ‘*’);

// handleVideoTitle([videoData]);
changeCurrentPlayingVideoTitle(tile, false);
firstVideoH2 = tile.querySelector(‘h2’);
}
});
}
});

var video_api_response = JSON.parse(“[]”);

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