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#1 2015-08-30 22:38:55

zetafunc
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Registered: 2014-05-21
Posts: 1,821
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LearnMathsFree - Free Maths YouTube Videos

EDIT: Now on Facebook and Twitter!

I recently made a YouTube channel, Learn Maths Free, with the aim of creating video lectures (much in the style of KhanAcademy) on a variety of topics mainly at high-school level and undergraduate level.

At the moment, I've started a new playlist called Geometry and Groups, a course that loosely follows the syllabus of UCL's course*, that seeks to explore the fascinating links between group theory and geometry, starting with the Platonic solids and hopefully culminating in a discussion of the modular group, PSL(2,Z). More specifically, in this playlist I'd like to explore:

-Symmetry groups of Platonic solids
-Spherical and hyperbolic geometry
-A complete classification of Mobius transformations
-Isometries of hyperbolic space
-Euclidean space and quaternions

In the future (mostly dependent on popularity), I'd like to make videos on a number of other subjects, such as, GCSE Maths, AS and A-level Maths, SAT prep, Topology, Number Theory, Partial Differential Equations, Group Theory, Linear Algebra, Calculus, Real and Complex Analysis, Elliptic Curves, Fluid Mechanics.

*Taught in 2014-2015.

Videos so far:

Logarithm of a Complex Number
Integration by Parts: Basic Examples
Integrating log(x)
Calculating Partial Derivatives
Introduction to Summation Notation
Introducing Complex Numbers
Adding/Subtracting Complex Numbers
Multiplying Complex Numbers
Dividing Complex Numbers
Complex Conjugates
Calculating Powers of i
The Argand Diagram
Rationalising the Denominator
Simplifying Surds/Radicals
Proving Trig Identities Using Double-Angle Formulae
Proving a Complex Number Identity
Multiply 2-digit Numbers in 10 SECONDS!
Contour Integration #1 - Integrating 1/(x^2 + 1)
Contour Integration #2 - Integrating x^2 / (x^4 + 1)
Contour Integration #3 - Integrating cos(x) / (x^2 + 1)
Contour Integration #4 - Integrating Over Different Contours
How to Add ANY Pair of Fractions
How to Subtract ANY Pair of Fractions
How to Multiply Fractions
How to Divide Fractions in Three EASY Steps
Applying the AM-GM Inequality
Simplifying Expressions 1 - Basic Expressions
Simplifying Expressions 2 - Expressions with Powers
Expanding Brackets 1
Expanding Brackets 2
Continued Fractions #1 - Introduction and Finite Continued Fractions
Continued Fractions #2 - Infinite Continued Fractions
Metric Spaces #1 - Introduction
Geometry and Groups #1 - Platonic Solids Introduction
Geometry and Groups #2 - Platonic Solids and Duality
Geometry and Groups #3 - Duality
Geometry and Groups #4 - Group Actions
Geometry and Groups #5 - Orbits
Geometry and Groups #6 - Stabilisers
Geometry and Groups #7 - Orbit-Stabiliser Theorem
Is f(z) = z^2 + 2z* holomorphic?
Is f(z) = Im(z) holomorphic?
An Integration by Substitution Problem

EDIT 2: For the past couple of weeks, the above links were not functional. They are now fixed, as of the 1st of October, 2015.

Last edited by zetafunc (2016-01-07 00:28:42)

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#2 2015-08-31 04:14:24

bob bundy
Moderator
Registered: 2010-06-20
Posts: 7,835

Re: LearnMathsFree - Free Maths YouTube Videos

Sounds excellent!  I am limited to my kindle at the moment.  I will check it out properly tomorrow. smile

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#3 2015-08-31 04:24:52

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

Re: LearnMathsFree - Free Maths YouTube Videos

Hi;

It is your channel?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#4 2015-08-31 04:31:33

zetafunc
Member
Registered: 2014-05-21
Posts: 1,821
Website

Re: LearnMathsFree - Free Maths YouTube Videos

Yes, it's my channel. I've only got a handful of videos at the moment but more is coming soon, and am open to requests.

I was thinking of using it to also potentially answer problems from the Help Me forum.

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#5 2015-08-31 04:39:20

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

Re: LearnMathsFree - Free Maths YouTube Videos

You should have told me sooner, I will want to look at the videos as soon as the weather here clears. The rain is coming and I will be blacked out.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#6 2015-08-31 04:46:10

zetafunc
Member
Registered: 2014-05-21
Posts: 1,821
Website

Re: LearnMathsFree - Free Maths YouTube Videos

It is very new, a few days old. Oh, is that because of a hurricane?

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#7 2015-08-31 04:47:46

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

Re: LearnMathsFree - Free Maths YouTube Videos

It has broken down to just a T-storm, still 2 - 4 inches of rain will fall on my area. This will cause flooding and power outages.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#8 2015-08-31 04:49:15

zetafunc
Member
Registered: 2014-05-21
Posts: 1,821
Website

Re: LearnMathsFree - Free Maths YouTube Videos

darn, that's terrible. Hope you will be OK. How long until it clears up?

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#9 2015-08-31 04:50:20

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

Re: LearnMathsFree - Free Maths YouTube Videos

Who knows. I do not swim well but will probably not need to. Congratulations on the channel.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#10 2015-08-31 05:58:14

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,118

Re: LearnMathsFree - Free Maths YouTube Videos

Good luck on your channel, Zetafunc. I just subbed.

Suggestion: I believe you should watermark your video.

Last edited by David (2015-08-31 05:58:28)


I wish I was in Dixie, Hooray! Hooray!...
"Non tutte le ciambelle riescono col buco.”

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#11 2015-08-31 06:56:55

zetafunc
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Registered: 2014-05-21
Posts: 1,821
Website

Re: LearnMathsFree - Free Maths YouTube Videos

Thanks. I may put a watermark in future -- perhaps if it becomes more popular.

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#12 2015-08-31 07:21:21

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

Re: LearnMathsFree - Free Maths YouTube Videos

Who is that dude talking?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#13 2015-08-31 07:30:36

zetafunc
Member
Registered: 2014-05-21
Posts: 1,821
Website

Re: LearnMathsFree - Free Maths YouTube Videos

That dude is me.

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#14 2015-08-31 09:37:33

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

Re: LearnMathsFree - Free Maths YouTube Videos

Very good! I have watched the cf one, liked it .


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#15 2015-08-31 09:47:10

zetafunc
Member
Registered: 2014-05-21
Posts: 1,821
Website

Re: LearnMathsFree - Free Maths YouTube Videos

Thanks! I've got a few more videos about Continued Fractions coming soon.

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#16 2015-08-31 15:02:27

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

Re: LearnMathsFree - Free Maths YouTube Videos

Continued fractions used to be one of my favorites.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#17 2015-08-31 19:45:11

zetafunc
Member
Registered: 2014-05-21
Posts: 1,821
Website

Re: LearnMathsFree - Free Maths YouTube Videos

I always thought they were cool, too. They were not so popular among my peers, however.

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#18 2015-08-31 20:00:55

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

Re: LearnMathsFree - Free Maths YouTube Videos

What do they like?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#19 2015-08-31 20:09:02

zetafunc
Member
Registered: 2014-05-21
Posts: 1,821
Website

Re: LearnMathsFree - Free Maths YouTube Videos

Number Theory was not too popular last year. It's difficult to gauge what people like on my course -- often 'easy' would be equated with enjoyment. In which case, everyone loves PDEs.

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#20 2015-08-31 21:07:46

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

Re: LearnMathsFree - Free Maths YouTube Videos

Hmmm, never thought I would see the day that number theory went belly up.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#21 2015-09-01 03:20:27

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,612
Website

Re: LearnMathsFree - Free Maths YouTube Videos

While I really think that this is an excellent effort, I would comment that you could have named your channel better


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#22 2015-09-01 06:32:50

zetafunc
Member
Registered: 2014-05-21
Posts: 1,821
Website

Re: LearnMathsFree - Free Maths YouTube Videos

I would have to agree with you. Truth be told, this is sort of a placeholder name while I think or something a little more creative. One disadvantage of this name is that it's terrible for Google searches: googling "learnmathsfree" will instantly return search results for "learn maths free" (with spaces), which my videos cannot compete with.

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#23 2015-09-01 10:21:34

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,118

Re: LearnMathsFree - Free Maths YouTube Videos

Why not just name it Zetafunc - Learn Maths Free?


I wish I was in Dixie, Hooray! Hooray!...
"Non tutte le ciambelle riescono col buco.”

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#24 2015-09-01 11:06:22

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,456

Re: LearnMathsFree - Free Maths YouTube Videos

In light of post #22, change the name.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#25 2015-09-02 01:35:02

bob bundy
Moderator
Registered: 2010-06-20
Posts: 7,835

Re: LearnMathsFree - Free Maths YouTube Videos

hi zetafunc,

Great start!  It will take me a while to view all of these ... then I may have a request.  smile

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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