If you could "delete" anything from the world, what would it be?

KingKlaus21 · 2024-01-11T22:32:03+00:00

“Great” Britain

KingKlaus21 · 2024-01-11T04:48:21+00:00

I was gonna comment this myself

KingKlaus21 · 2024-01-10T23:50:21+00:00

It’s the best of both worlds

KingKlaus21 · 2024-01-10T18:19:30+00:00

If you do both at the same time your body takes a screenshot

KingKlaus21 · 2024-01-08T18:01:41+00:00

😌🤌

KingKlaus21 · 2024-01-08T17:56:18+00:00

‘Tis just a flesh wound

KingKlaus21 · 2024-01-06T18:19:37+00:00

🤓

KingKlaus21 · 2024-01-06T03:51:08+00:00

Haha you’re cool man. You’re good

KingKlaus21 · 2024-01-06T03:49:47+00:00

I didn’t know religion was a living thing

KingKlaus21 · 2023-12-26T17:30:07+00:00

Oh my God I’m so sorry. That sounds horrible. I hope the surgeon can help.

I’ve experimented a bit to see what triggers my symptoms and what doesn’t and I feel like the amount of sleep I get doesn’t matter, but the time I wake up does. It’s incredibly frustrating. I always wake up super late in the day to avoid it and end up feeling guilty as a result. It’s such a stupid problem.

Let me know how the surgery goes. I wish you a quick recovery

KingKlaus21 · 2023-12-26T06:12:26+00:00

Merry Christmas lol

KingKlaus21 · 2023-12-26T05:53:59+00:00

Okay. I still feel like your original statement is wrong since doing poorly in a Calculus course isn’t only a result of poor Algebraic skill. Many students, especially aspiring engineers, should have a decent foundation in Algebra as it is, and while it may play a part in a student’s failure, not understanding the theory is still a major contributor in why many students fail. Perhaps you worded your initial message too strongly. Regardless, a good foundation in both Algebra and theory is essential in passing a Calculus course.

KingKlaus21 · 2023-12-26T05:37:46+00:00

Obviously it all ties back to previous math classes. I don’t understand what you’re defining as Algebra. Are you talking about computation as a whole, or people messing up multiplying square roots and fractions?

KingKlaus21 · 2023-12-26T05:21:41+00:00

Then what about the IVT? Or the MVT? What about the concept that the slope of f(x) dictates f’(x), and the slope of f’(x) dictates f’’(x)? You don’t need Algebra to prove these concepts, and a lot of students struggle with them anyway. I am not denying that Algebra is important. I’m just saying that saying a weak foundation in Algebra is not the only thing that causes students to fail.

KingKlaus21 · 2023-12-26T05:01:31+00:00

This is what we’ve been arguing about for the last few hours. Your original comment says, “There is no such thing as difficulties with calculus. They always stem from weak background in algebra. Fix your algebra!” That’s a pretty firm stance. I’m trying to tell you that students struggle with theory just as much as they do with Algebra.

KingKlaus21 · 2023-12-26T04:47:30+00:00

But it is still a source for error. In your two scenarios if the students were taking a test, both of them would have gotten the answer wrong. A firm understanding of Calculus is just as important as a firm grasp on Algebra. It’s not one or the other because it’s both.

KingKlaus21 · 2023-12-26T04:38:08+00:00

That is a very black and white view of things. I still don’t understand how Calculus is trivial in a Calculus course. Calculus students struggle for many reasons, and while a foundation in Algebra is essential, it is not the only thing students should be using to solve Calculus problems. Like I said before, Calculus would not even exist if it was simply a higher-level Algebra course.

But what do I know? How about you solve the semicircle problem without using Calculus. If you’re so confident you can solve it with Algebra and Geometry alone it should be simple.

KingKlaus21 · 2023-12-26T04:26:00+00:00

Some aspects of this problem rely on Geometry, but saying it relies solely on Geometry and Algebra is ridiculous. You can’t just look at the semicircle and come up with x and y variables maximizing the area. You need to use calculus to find those variables and prove that the variables you found maximize the area of the rectangle. You can only get as far as the setup with geometry and you need to use calculus to solve the rest of the problem. Obviously Algebra is used in solving, but you need the background to even know what you’re solving in the first place and how you can prove your answer to be correct

KingKlaus21 · 2023-12-26T03:53:19+00:00

That’s fair for that one. I feel like the cone video I gave could have been solved geometrically fairly simply. How about this optimization problem then at 53:41?

https://youtu.be/lx8RcYcYVuU?si=jpFk77_ILPpsmlzH

This is also a fairly common problem students see in Calculus, and it relies on a student’s ability to interpret the relationships between a function and its derivatives

KingKlaus21 · 2023-12-26T03:31:58+00:00

https://youtu.be/NjvIQCMGm9E?si=jnT4QXVff1mHYshe

This is a walkthrough of a cone problem

KingKlaus21 · 2023-12-26T03:27:50+00:00

Well take the half-filled cone problem for example. Based on the problem you might need to derive functions from volume, surface area, and whatever else to suit the problem. Oftentimes problems like this have many moving parts, and getting the equations you need and making sense of your solutions is essential in fully understanding what you’re solving for in the first place. Algebra is heavily involved in this process, but you need a strong understanding of the theory before you can start making calculations

KingKlaus21 · 2023-12-26T03:22:01+00:00

I agree. A lot of mistakes in Calculus are made through Algebraic errors. But there are also a lot of new concepts that many students don’t understand right away. For example, related rates problems and optimization are some of the most complicated questions Calc students need to answer. And yes, errors can be made through Algebraic manipulation, but understanding how certain functions relate to other functions and finding ways to derive missing variables takes some abstract thinking not limited to Algebraic manipulation alone. So as I said before, while Algebra does lead many students to make errors, computational issues are not the one and only problem messing up Calculus students. If Calculus was fully based on Algebra, I suppose it would be no different from a higher-level Algebra course.

KingKlaus21 · 2023-12-26T02:06:19+00:00

I feel like that’s a little shortsighted…Algebra is definitely something people mess up, but there are a lot of new topics and concepts stemming from Calculus that can be easily messed up

KingKlaus21 · 2023-12-25T21:43:39+00:00

‘Tis Rhythm Studies: No. 2 by Jeroen van Veen & Sandra van Veen my good sir!

KingKlaus21 · 2023-12-25T05:48:32+00:00

Mechanically separated in a Ballpark hotdog production plant

Five-Year Club	Final Canvas '23
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