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Oxford Calculus: How to Solve the Heat Equation

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Tom Rocks Maths

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/maplec...

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 EarlyCareer Teaching and Outreach Fellow at St Edmund Hall: https://www.seh.ox.ac.uk/people/tomc...

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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posted by vhupkat4e