Uploaded November 2022 | Updated September 2026, 2 weeks ago
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: learn.maplesoft.com/doc/yllfw9gbg7/trm-heat-equation-worksheet
Test yourself with some exercises on separable solutions with this FREE worksheet in Maple Learn: learn.maplesoft.com/doc/i72vej3p2d/trm-separable-solutions
Investigate separable solutions to the Heat Equation here: learn.maplesoft.com/d/PQOSOULGKPFHEREGBKJSJRHRKPCPJPHLGRCIFSHOOKFUERPPEGLUDILQNTLIAUJUBTJMLGKPMJJRHMJFIHKJKNLIKOLHNKFNONKU
Check your working using the Maple Calculator App – available for free on Google Play and the App Store.
Android: play.google.com/store/apps/details?id=com.maplesoft.companion&hl=en
Apple: apps.apple.com/us/app/maple-companion/id1466659419
FULL DESCRIPTION OF CONTENT TO FOLLOW
Other videos in the Oxford Calculus series can be found here: youtube.com/playlist?list=PLMCRxGutHqflZoTY8JCm1GRzCdGXvZ3_S
Finding critical points for functions of several variables: youtu.be/Leomuu82-u8
Classifying critical points using the method of the discriminant: youtube.com/watch?v=5M_ts8Q2LEM
Partial differentiation explained: youtu.be/RVwcBGzQcT8
Second order linear differential equations: youtu.be/F54yhRB9qDI
Integrating factors explained: youtube.com/watch?v=ftqKuOfOX3E
Solving simple PDEs: youtu.be/uztjxrGY6Jw
Jacobians explained: youtube.com/watch?v=YqMelRryG8U
Separation of variables integration technique explained: youtu.be/zk41c0vs9XQ
Solving homogeneous first order differential equations: youtu.be/uqvqjbAcbL8
Taylor’s Theorem explained with examples and derivation: youtube.com/watch?v=DULzJmUHN5g
Heat Equation derivation: youtu.be/rz3cdzZXQms
Separable Solutions to PDEs: youtube.com/watch?v=hcm-CgHFbwI
Find out more about the Maple Calculator App and Maple Learn on the Maplesoft YouTube channel: youtube.com/channel/UCq2MmZQ8-kqEVAnmL2GSMsQ
Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: seh.ox.ac.uk/people/tom-crawford
For more maths content check out Tom's website tomrocksmaths.com
You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
facebook.com/tomrocksmaths
twitter.com/tomrocksmaths
instagram.com/tomrocksmaths
Get your Tom Rocks Maths merchandise here:
beautifulequations.net/collections/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: learn.maplesoft.com/doc/yllfw9gbg7/trm-heat-equation-worksheet
Test yourself with some exercises on separable solutions with this FREE worksheet in Maple Learn: learn.maplesoft.com/doc/i72vej3p2d/trm-separable-solutions
Investigate separable solutions to the Heat Equation here: learn.maplesoft.com/d/PQOSOULGKPFHEREGBKJSJRHRKPCPJPHLGRCIFSHOOKFUERPPEGLUDILQNTLIAUJUBTJMLGKPMJJRHMJFIHKJKNLIKOLHNKFNONKU
Check your working using the Maple Calculator App – available for free on Google Play and the App Store.
Android: play.google.com/store/apps/details?id=com.maplesoft.companion&hl=en
Apple: apps.apple.com/us/app/maple-companion/id1466659419
FULL DESCRIPTION OF CONTENT TO FOLLOW
Other videos in the Oxford Calculus series can be found here: youtube.com/playlist?list=PLMCRxGutHqflZoTY8JCm1GRzCdGXvZ3_S
Finding critical points for functions of several variables: youtu.be/Leomuu82-u8
Classifying critical points using the method of the discriminant: youtube.com/watch?v=5M_ts8Q2LEM
Partial differentiation explained: youtu.be/RVwcBGzQcT8
Second order linear differential equations: youtu.be/F54yhRB9qDI
Integrating factors explained: youtube.com/watch?v=ftqKuOfOX3E
Solving simple PDEs: youtu.be/uztjxrGY6Jw
Jacobians explained: youtube.com/watch?v=YqMelRryG8U
Separation of variables integration technique explained: youtu.be/zk41c0vs9XQ
Solving homogeneous first order differential equations: youtu.be/uqvqjbAcbL8
Taylor’s Theorem explained with examples and derivation: youtube.com/watch?v=DULzJmUHN5g
Heat Equation derivation: youtu.be/rz3cdzZXQms
Separable Solutions to PDEs: youtube.com/watch?v=hcm-CgHFbwI
Find out more about the Maple Calculator App and Maple Learn on the Maplesoft YouTube channel: youtube.com/channel/UCq2MmZQ8-kqEVAnmL2GSMsQ
Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: seh.ox.ac.uk/people/tom-crawford
For more maths content check out Tom's website tomrocksmaths.com
You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
facebook.com/tomrocksmaths
twitter.com/tomrocksmaths
instagram.com/tomrocksmaths
Get your Tom Rocks Maths merchandise here:
beautifulequations.net/collections/tom-rocks-maths
