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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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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 9,723

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

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

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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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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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**David****Member**- From: Bumpkinland
- Registered: 2014-04-23
- Posts: 3,164

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)*

His dominion is an everlasting dominion, Which shall not pass away, And His kingdom the one Which shall not be destroyed.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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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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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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**David****Member**- From: Bumpkinland
- Registered: 2014-04-23
- Posts: 3,164

Why not just name it Zetafunc - Learn Maths Free?

His dominion is an everlasting dominion, Which shall not pass away, And His kingdom the one Which shall not be destroyed.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 9,723

hi zetafunc,

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

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

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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