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01

Calculus for Everyone

16 Lectures · Beginner to Advanced

Discover calculus through narrative storytelling. From rates of change to the beauty of integration, we build intuition first — designed for all learners.

Beginner Basic Concepts

Start here — from what a function even is, to the full toolkit of derivative rules. Follow it in order, step by step.

01

Calculus Ki Kahani

Foundation • The story of change

02

Functions Ki Kahani

Foundation • What a function actually is

03

Domain of Functions

Foundation • Where a function is allowed to live

04

Limits Ki Kahani

Foundation • The idea behind a limit

05

Derivatives Ki Kahani

Foundation • The story of the derivative

06

Rules of Derivatives (Part 1)

Differentiation • Foundational rules — where they come from

07

Rules of Derivatives (Part 2)

Differentiation • Building on the basics

08

Rules of Derivatives (Part 3)

Differentiation • Completing the rule set

09

Marginal Cost, Marginal Revenue and Marginal Profit

Applications • Derivatives at work in economics

10

Extended Power Rule of Derivatives

Differentiation • Beyond the basic power rule

11

Chain Rule, Logarithmic Rule and Exponential Rule of Derivatives

Differentiation • Composite, logarithmic, and exponential functions

12

Concept of Double Integrals

Multivariable • Bridging into double integrals — building the intuition

Pro Advanced & One-Shot Revision

Fast-paced, exam-focused videos — best for revising the full course.

01

All Rules of Derivative in One Shot

Revision • Every derivative rule, one video

02

Double Integration Ki Kahani

Multivariable • The story behind integrating over a region

03

Solving Double Integrals

Multivariable • Working through double integral problems step by step

04

Triple Integrals Ki Kahani

Multivariable • One-shot revision • The story behind integrating over a solid region

Open Calculus for Everyone as a full page →
02

Calculus & Analytical Geometry

Beginner · Pro · Solutions · Quizzes

Specialized calculus and geometry for computer science, machine learning, and AI — multivariable calculus, transformations, and optimization for real-world applications.

Beginner Basic Concepts

Start here — building the core intuition, step by step.

01

Concept of Limits of Functions

Foundation • The idea behind a limit

02

Concept of Derivative

Foundation • The story of the derivative

03

Rules of Differentiation

Differentiation • Foundational rules — where they come from

04

Chain Rule, Logarithmic Rule and Exponential Rule of Differentiation

Differentiation • Composite, logarithmic, and exponential functions

05

Power Rule, Quotient Rule & Cosine Rule of Derivatives

Differentiation • Power, quotient and cosine rule

06

Derivatives of Trigonometric Functions

Differentiation • Sin, cos, tan and their partners

07

Continuous Functions (Continuity)

Limits & Continuity • What continuity really means

📖 Open the complete Calculus & Analytical Geometry course page →
03

Partial Differential Equations

6 Lectures · Advanced

Welcome to the world of Partial Differential Equations — the mathematical language of nature itself. From the ripples on a pond to the heat flowing through a metal rod, PDEs describe how things change across space and time.

Beginner Basic Concepts

Start here — building the core intuition, step by step.

01

Introduction to Differential Equations

Foundation • Where it all begins — from ODEs to PDEs

02

Types of Differential Equations: ODEs and PDEs

Foundation • Understanding the taxonomy of differential equations

03

Introduction to PDE

Foundation • What a partial differential equation actually is

04

Order & Degree of PDE

Foundation • Classifying a PDE by its order and degree

05

Solution of PDE

Foundation • What it means for a function to solve a PDE

06

Formulation of PDE

Foundation • Building a PDE by eliminating arbitrary constants/functions

Open Partial Differential Equations as a full page →
04

Linear Algebra

4 Lectures · Beginner to Advanced

The language of vectors, spaces, and the transformations that connect them — the foundation underneath calculus, machine learning, and modern applied math.

Beginner Basic Concepts

Start here — building the core intuition, step by step.

01

What is Vector Space

Foundation • Building the core intuition behind vector spaces

02

Examples of Vector Spaces

Foundation • Seeing vector spaces in action, with worked examples

03

Subspaces of Vector Spaces

Foundation • Identifying subspaces within a vector space

Pro Advanced & One-Shot Revision

Fast-paced, exam-focused videos — best for revising the full course.

01

Take a Look into Vector Space

Advanced • Best for revision — a one-shot look at vector spaces

Open Linear Algebra as a full page →
05

Mathematical Economics

5 Lectures · Beginner to Advanced

Elasticity of demand, income determination, marginal productivity, and the models behind economic decision-making — the math underneath how markets and choices actually work.

Beginner Basic Concepts

Start here — building the core intuition, step by step.

01

Income & Cross-Price Elasticities of Demand

How income changes and price shifts in other goods reshape demand — the elasticities every economics model relies on.

02

Income Determination Model - Comparative Statics

How equilibrium income shifts when government spending, taxes, or investment change — comparative statics made intuitive.

03

Endogenous and Exogenous Variables in Economics

What's actually being explained by the model versus what's assumed from outside it — the distinction that makes every economic model click.

04

Marginal Productivity | Marginal Product of Labor & Capital

Why firms hire and invest the way they do — the calculus behind marginal product of labor and capital, explained step by step.

Pro Advanced & One-Shot Revision

Fast-paced, exam-focused videos — best for revising the full course.

01

Integration — All Basics in One Shot

Every integration rule and trick you need for mathematical economics, revised in a single fast-paced session.

Open Mathematical Economics as a full page →
06

Numerical Computing

Free · Beginner to Advanced

When equations refuse to solve themselves on paper — root-finding, interpolation, and numerical methods that turn impossible problems into approximate, computable ones.

Beginner Basic Concepts

Start here — building the core intuition, step by step.

01

Fixed-Point Iteration Method

Root Finding • Fixed-point iteration technique for solving equations

02

Regula Falsi (False Position) Method

Root Finding • False position method for numerical root finding

03

Newton-Raphson Method

Root Finding • Newton-Raphson method for fast convergence

04

Secant and False Position Methods

Root Finding • Secant method and false position combined analysis

05

Simpson's 1-3 Rule Explained

Numerical Integration • Simpson's 1/3 rule for numerical integration

06

Trapezoidal Rule Explained - Numerical Integration

Numerical Integration • Trapezoidal rule for approximating integrals

Pro Advanced & One-Shot Revision

Fast-paced, exam-focused videos — best for revising the full course.

REVISION 01

Quick Revision of All Topics in Numerical Computing & Numerical Analysis

One-Shot Revision • Complete overview of numerical computing and numerical analysis topics

REVISION 02

Numerical Computing in One Shot

One-Shot Lecture • Complete numerical computing course condensed

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07

Quantitative Reasoning I

New · Foundation

Number sense, ratios and proportions, percentages, averages, and basic data interpretation — the foundational reasoning every quantitative test and course builds on.

Beginner Basic Concepts

Lectures for Quantitative Reasoning I are being recorded and will appear here soon. Message on WhatsApp to get notified when they launch.

Open Quantitative Reasoning I as a full page →
08

Quantitative Reasoning II

New · Advanced

Algebraic reasoning, sequences and series, probability, and advanced data interpretation — building on Quantitative Reasoning I.

Advanced Building on QR-I

Lectures for Quantitative Reasoning II are being recorded and will appear here soon. Message on WhatsApp to get notified when they launch.

Open Quantitative Reasoning II as a full page →
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University-level mathematics, taught the way it should be — concepts before formulas, Urdu-English mixed naturally, and zero shortcuts. Built for students who want the Top 1%, not just a passing grade.

// how we teach a limit
limx→0 (sin x)/x
// not a rule to memorise —
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"Every proof has a story. Every formula has a reason. If you can't feel it, you haven't understood it yet."

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Maths Digital Creator, Teacher & EdTech Consultant
Try It Yourself

This is what "feel it" actually means.

Move the sliders. Watch the numbers change. This is how every concept should be taught — not memorised, felt.

Tangent Line — The Derivative, Visually

Drag the slider and watch the tangent line move along the curve. Its slope is the derivative at that point.

slope = f'(x) = 0.00

Circle Area — Depends on Radius

Drag the radius and watch how fast the area grows — it's r², not r. Small changes near the edge matter a lot.

Area = πr² = 28.27
Free Lecture Previews

Ki Kahani Series — Feel the Method

Three signature lectures from our courses. Watch how we teach: intuition first, story-driven, no notation salad. Get a taste of the Kahani Suno approach.

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