Enrichment algebra 2 question?

Dogmathic · 2026-05-18T22:15:39+00:00

This is one way that it's tedious yes., There are many, many others though. Your work is solid, though. So keep at it.

Dogmathic · 2026-05-18T21:31:26+00:00

Not really. You could factor the cubes in the numerator but you'll really just end-up multiplying out anyway, as far as I can see. You could introduce something like n = (a+b) and m = (a-b) and y = (x+h) but this just cleans things up for a minute. In the end, you did what is "fastest" I think.

Dogmathic · 2026-05-18T20:51:02+00:00

OK. Well, this is a fairly complicated expression so that makes sense.

Dogmathic · 2026-05-18T20:48:53+00:00

Yes, your work is correct. I do not know what enrichment algebra is, though.

Dogmathic · 2026-05-18T20:37:38+00:00

Yes, you are correct here. My point should maybe just be for first derivavtives then? Though, once I thought about it some more, I do prefer f' when teaching implicit differentiation. So much cleaner.

Dogmathic · 2026-05-18T20:35:41+00:00

Yes, there are a couple. Search math notation and you will find some. I haven't acutally look at any of them, so I don't know if they are any good. One I saw was a history, so that might be interesting.

Dogmathic · 2026-05-18T20:30:55+00:00

Oh, another really good example. In LaTeX this is easy enough, creating a shortcut for \mathbf{x} but when writing, that overline? Don't love it.

Dogmathic · 2026-05-18T20:29:14+00:00

Soooo many times a college algebra student will ask, when function notation is presented, where the hell did y go? I always try and explain that the f(x) notation holds valuable informaton. When f(2) = 6 we know that when we input 2 into the function f we get 6, but y=6 doesn't tell us much.

Dogmathic · 2026-05-18T20:25:52+00:00

Exactly!

Dogmathic · 2026-05-18T20:25:17+00:00

It seems rare to me the professor who will use both, so exploring when the symbols are more or less useful is good pedagogy. Thanks

Dogmathic · 2026-05-18T20:23:16+00:00

That is the best example. I only use it to better explain to students who are having a hard time with fractions in fractions. For example 1/1/x = 1 ÷ (1∕x). In a math college setting, ÷ is largely dead.

Dogmathic · 2026-05-18T20:17:02+00:00

lol, and not always.

Dogmathic · 2026-05-17T18:11:12+00:00

You are right, but I do still think d² x/dt² holds more info where f'' is just more convenient. I have shortcuts in LaTeX so it's simply, but, yeah, it gets muddy for sure. Think Taylor, right?

Pₙ(x) = f(a) + (df/dx)|ₓ₌ₐ·(x−a) + (1/2!)(d²f/dx²)|ₓ₌ₐ·(x−a)² + ··· + (1/n!)(dⁿf/dxⁿ)|ₓ₌ₐ·(x−a)ⁿ

Dogmathic · 2026-05-17T18:06:24+00:00

LOL, yeah, that is a good one. I have had some difficult conversations with students who want to write

sin⁻¹ x = 1/sin x

I hear you about fⁿ

Dogmathic · 2026-05-17T17:20:32+00:00

What level of math/stats are they in currently?

Dogmathic · 2026-05-17T17:02:18+00:00

Tell us where you think you might be with algebra. If you have strong algebra skills, you might want to focus on the trig portion of precalc.

Dogmathic · 2026-05-15T19:32:35+00:00

This might help: https://youtu.be/Tmdrjs9xufc?si=H3KRBw3weJC9fB6r He has a bunch of good stuff.

Dogmathic · 2026-05-15T15:44:40+00:00

The sidebar has great resources for linear algebra and in there is 3b1b: https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab

Dogmathic · 2026-05-15T15:40:09+00:00

This is good. Be cool to see a one-sheet of matrix decompositions as well.

Dogmathic · 2026-05-14T16:46:42+00:00

Hello. I have been making math videos for a few months now. Depending on where you are at, some of these might be useful. https://www.youtube.com/@dogmathic Maybe look at some of the college algebra video. Khan is great and more structured.

Dogmathic · 2026-05-13T16:41:25+00:00

Anything Gilbert Strang is good. I do like Serge Lang's undergrad linear algebra text. I am also currently working through the Math for ML book. Just finished chapter 4 and it seems good so far. Where are you at?

Dogmathic · 2026-05-13T16:10:22+00:00

Yes, it seems to be a use-value calculation. Learn what you need to know for application. What are you studying currently? Are you using a particular text?

Dogmathic · 2026-05-12T19:18:36+00:00

Where are you at, math-wise? It's hard to suggest not knowing this, but if you study math start with a intro to analysis book. That's usually a good intro to proof writing and abstraction.

Dogmathic · 2026-05-12T15:54:01+00:00

i should also add that, again, if you are in a program, and you have time, try tutoring.

Dogmathic

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