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Course · 6 Lectures · Advanced
Partial Differential
Equations.
The mathematical language of nature itself — from ripples on a pond to heat flowing through a rod. We don't just teach you to solve PDEs; we help you feel them.
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Beginner
Basic Concepts
Start here — building the core intuition, step by step.
LECTURE 01
🎬 Introduction to Differential Equations
Foundation • Where it all begins — from ODEs to PDEs
LECTURE 02
🎬 Types of Differential Equations: ODEs and PDEs
Foundation • Understanding the taxonomy of differential equations
LECTURE 03
🎬 Introduction to PDE
Foundation • What a partial differential equation actually is
LECTURE 04
🎬 Order & Degree of PDE
Foundation • Classifying a PDE by its order and degree
LECTURE 05
🎬 Solution of PDE
Foundation • What it means for a function to solve a PDE
LECTURE 06
🎬 Formulation of PDE
Foundation • Building a PDE by eliminating arbitrary constants/functions
Pro
Advanced & One-Shot Revision
Fast-paced, exam-focused videos — best for revising the full course.
More advanced & one-shot revision lectures coming soon.
Frequently Asked Questions
What is a Partial Differential Equation (PDE)?
A PDE is an equation involving an unknown function of two or more variables and its partial derivatives with respect to those variables. It describes how a quantity changes across space and time — heat flow, wave motion, and fluid dynamics are all modeled with PDEs.
What is the order and degree of a PDE?
The order is the order of the highest partial derivative in the equation. The degree is the power of that highest-order derivative once the PDE is written as a polynomial in its derivatives.
What does it mean to solve a PDE?
Solving a PDE means finding a function that satisfies the equation identically, often subject to given boundary or initial conditions.
What is formulation of a PDE?
Formulation is the process of deriving a PDE by eliminating arbitrary constants or arbitrary functions from a given relation between the variables.
Is this PDE course free?
Yes — every PDE video lecture, notes set, and quiz on MforMathodology is free to access.