@MathOutLoud@mathstodon.xyz avatar

MathOutLoud

@MathOutLoud@mathstodon.xyz

You can watch me solve Mathematics problems that I am seeing for the first time here: https://youtube.com/@mathoutloud

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MathOutLoud, to math
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A nice viewer submitted problem today dealing with the range of values of a function. See my thought process and solution here:

https://youtu.be/KcCvTZDWbAU

MathOutLoud, to math
@MathOutLoud@mathstodon.xyz avatar

A different kind of maximization than typically seen in introductory Calculus. See my thought process and solution here:

https://youtu.be/c6JwnK29eJY

#math #mathematics

MathOutLoud, to math
@MathOutLoud@mathstodon.xyz avatar

A nice problem today that can be solved just be intuition. See my thought process and solution here:

https://youtu.be/7B6unBDn4Co

#math #mathematics

MathOutLoud, to math
@MathOutLoud@mathstodon.xyz avatar

A little bit of simple geometry to finish the week. See my thought process and solution here:

https://youtu.be/6l3s5xi-nFY

#math #mathematics

MathOutLoud, to math
@MathOutLoud@mathstodon.xyz avatar

A simple question about polynomial roots, testing some understanding of their properties. See my thought process and solution here:

https://youtu.be/9gA8Tqq82A4

#math #mathematics

MathOutLoud, to math
@MathOutLoud@mathstodon.xyz avatar

A little late on this one, but here’s a problem about figuring out the dimension spanned by a set of vectors. See my thought process and solution here:

https://youtu.be/aA8TxxWaPak

#math #mathematics

MathOutLoud, to math
@MathOutLoud@mathstodon.xyz avatar

A simple minimization problem from an old GRE test. See my thought process and solution here: https://youtu.be/GsV1EpmJzhU #math #mathematics

MathOutLoud, to random
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Today we check out a standard problem about probabilities of independent events. See my thought process and solution here:
https://youtu.be/44PcJHJ9gm4

MathOutLoud, to random
@MathOutLoud@mathstodon.xyz avatar

A couple days ago I posted my solution to a simply stated problem. My method wasn't so elegant, but it's been nice to see so many responses with other approaches. You can seem them in the comments to this video: https://youtu.be/JUxyTEHHCqA

MathOutLoud, to random
@MathOutLoud@mathstodon.xyz avatar

Some of my viewers discussed/asked about this alternative method to solving a problem, so I present it here: https://youtu.be/0t_ljJ17YKc

MathOutLoud,
@MathOutLoud@mathstodon.xyz avatar

@RobertJackson58585858

Glad you enjoyed it! Not sure I would call this “everyday use” but like I mention in the description, a good technique to have in your back pocket.

Now that I write this, I remember that I used this in a research project several years ago, so it’s not just a gimmick!

MathOutLoud, to random
@MathOutLoud@mathstodon.xyz avatar

Even academic mathematicians can go through times of not liking math so much. That happened to me during today’s problem. See me vent some frustrations here:
https://youtu.be/jLDIPP5hvvs

MathOutLoud,
@MathOutLoud@mathstodon.xyz avatar

@RobertJackson58585858 Thanks! A main part of why I started the channel is to show ALL of the experiences in solving math problems, including the bad ones. Of all the videos I've ever posted I think this is the most frustrated I've been.

MathOutLoud, to random
@MathOutLoud@mathstodon.xyz avatar

Today's problem was quite frustrating, a lot of mistakes were made. See my thought process and a whole lot of incorrect reasoning here: https://youtu.be/et9cFHJIKG0

MathOutLoud,
@MathOutLoud@mathstodon.xyz avatar

@ColinTheMathmo Thanks for the feedback!

I think I could have figured this one out if I took my time more and thought more carefully about it. I even had some ideas for some completely different ways to approach the problem that I didn't explore.

Showing the struggle is pretty much the whole point of my channel. I want the young aspiring mathematicians that watch to understand that you won't always know exactly how to solve a fresh problem, and making mistakes is a huge part of the process.

MathOutLoud, to random
@MathOutLoud@mathstodon.xyz avatar

A viewer asked about the Gamma function. It wasn't a specific question, so I just decided to prove its most well known property. See the thought process here: https://youtu.be/R1AS9ocj0fY

MathOutLoud, to random
@MathOutLoud@mathstodon.xyz avatar

Today's problem is very geometrical, so sketching a diagram should be one of the first steps. Once that's done, a general approach can be laid out. See my thought process and solution here: https://youtu.be/NhbPBeQMD60

MathOutLoud, to random
@MathOutLoud@mathstodon.xyz avatar

Today’s problem considers a limit of a function of two variables. Sometimes different techniques are required compared to approaching limits of one variable. See my thought process and solution here:
https://youtu.be/sbee-JE8Uz4

MathOutLoud, to random
@MathOutLoud@mathstodon.xyz avatar

Today's problem is a good test of understanding how iterated powers propagate. Nothing too deep in this one, just keeping track of computations that need to be done. See my thought process and solution here: https://youtu.be/3xVait9Rg9k

MathOutLoud, to random
@MathOutLoud@mathstodon.xyz avatar

Today’s problem leans hard on the binomial theorem. I have a small hiccup at the end which almost threw me off course, but end up with the correct answer. See my thought process and solution here: https://youtu.be/vUdrrBfPRY0

MathOutLoud,
@MathOutLoud@mathstodon.xyz avatar

@ColinTheMathmo not sure where my brain was at in the moment with this one.

MathOutLoud,
@MathOutLoud@mathstodon.xyz avatar

@ColinTheMathmo yeah that’s true. And I like to show off my mistakes too so that younger learners and students can see that errors are part of the learning process, and you never really stop making them altogether.

MathOutLoud, to random
@MathOutLoud@mathstodon.xyz avatar

Today’s problem has a few misunderstandings regarding what I’m being asked about. This causes me to be confidently incorrect, but luckily I figure this out before the end. See my thought process and solution here:
https://youtu.be/tFlOrUyBe60

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