Oxford Calculus: How to Solve the Heat Equation

University of Oxford mathematician Dr Tom Crawford explains how to solve the Heat Equation - one of the first PDEs encountered by undergraduate students. Links to worksheet and app download below.

Accompanying Maple Learn worksheet with practice questions: https://learn.maplesoft.com/doc/yllfw...

Test yourself with some exercises on separable solutions with this FREE worksheet in Maple Learn: https://learn.maplesoft.com/doc/i72ve...

Investigate separable solutions to the Heat Equation here: https://learn.maplesoft.com/d/PQOSOUL...

Check your working using the Maple Calculator App – available for free on Google Play and the App Store.

Android: https://play.google.com/store/apps/de...
Apple: https://apps.apple.com/us/app/maple-c...

FULL DESCRIPTION OF CONTENT TO FOLLOW

Other videos in the Oxford Calculus series can be found here:    • Oxford Calculus  

Finding critical points for functions of several variables:    • Oxford Calculus: Finding Critical Poi...  

Classifying critical points using the method of the discriminant:    • Oxford Calculus: Classifying 2D Criti...  

Partial differentiation explained:    • Oxford Calculus: Partial Differentiat...  

Second order linear differential equations:    • Oxford Mathematics Open Day 2021: Dif...  

Integrating factors explained:    • Oxford Calculus: Integrating Factors ...  

Solving simple PDEs:    • Oxford Calculus: Solving Simple PDEs  

Jacobians explained:    • Oxford Calculus: Jacobians Explained  

Separation of variables integration technique explained:    • Oxford Calculus: Separation of Variab...  

Solving homogeneous first order differential equations:    • Oxford Calculus: Solving Homogeneous ...  

Taylor’s Theorem explained with examples and derivation:    • Oxford Calculus: Taylor's Theorem Exp...  

Heat Equation derivation:    • Oxford Calculus: Heat Equation Deriva...  

Separable Solutions to PDEs:    • Oxford Calculus: Separable Solutions ...  

Find out more about the Maple Calculator App and Maple Learn on the Maplesoft YouTube channel:    / @maplesoft  

Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: https://www.seh.ox.ac.uk/people/tom-c...

For more maths content check out Tom's website https://tomrocksmaths.com/

You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.

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