CALCULUS: Explained at a 5th Grade Level

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CALCULUS: Explained at a 5th Grade Level

Calculus is an advanced level math but it can be simply explained in just 15 minutes.

Chapters
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0:00 Introduction
0:10 Average Rate of Change
2:46 Instantaneous Rate of Change
3:27 Derivatives
6:14 Optimization (Application of Derivatives)
8:49 Area under the Curve
10:17 Integration
12:02 The Fundamental Theorem of Calculus
12:32 Finding Volume
13:31 Infinity
14:21 Gabriel's Horn

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Awesome video! I taught university calculus for a bit and wish I was half as eloquent as you are here!

travisbroussard

When I was in elementary school during the Space Race, we learned New Math. It seemed to be involved with a lot of number theory, the properties of numbers and such. A lot of our "problems" involved plugging values into "function boxes."
When I was in sixth grade, we learned "New" New Math from the guy who had invented New Math.
We were taught by grad students from the university. We didn't use a falling ball, more often we used a vibrating string and played all sorts of number games with that.
We moved to another state at the end of the year and I was ever after presented with "old" math. Math just wasn't fun anymore.
Looking back, it seems the whole point of "New Math" was to present number theory and the principles of calculus without getting into the actual calculations so much.

It reminds me of an Advanced Topics in Astronomy class I took my second year in college, taught by the head of the Astronomy Department. It was just a bunch of lectures about "what we know about astronomy, " and at the end of each week we would have to write a paper on what we learned. There was no math involved, though he occasionally would put formulas and calculations on the board "just to show that the math works, " but we weren't required to know any of it. We were only responsible for understanding the concepts involved.
A typical Astronomy class at this level would only be offered to Astronomy Grad students after they had achieved proficiency in advanced mathematics.
Our professor wanted to see if he could teach all these "advanced topics" to undergrads without all the math.
It was delightful!!

lorensims

I think of math as trying to learn a foreign language (1 is x, 2 is y, etc.). Then when you learn that foreign language, you try to write it down so others can understand it. That is where the confusion and miscommunication come in. If it was written in English instead of foreign graphs and symbols it would be easier to understand and communicate to others.

XtoriezNovel

Please every high school course explained 🙏🙏🙏

Would genuinely be quite useful

Wad-mylv

I'm so glad I found this video. I'm getting ready to start a degree in data analytics and I'm starting out in precalculus for first term. The video has eased my anxiety a bit. 😊

llmd

You don't substract. You subtract.

scienceMicroguy

I watch this once and recognized how hard my college professors were making this

cartoo

I think this “infinity is not a number it’s a concept” quote that is often repeated is misguided for the following reasons:
1. All numbers are concepts, so infinity being a concept does not preclude it from being a number.
2. Because infinity is not a REAL number does not make it not a number.
3. You can in fact deal with number systems (you just have to realize infinities play differently than the other numbers) with either (a) a single infinity (where plus and minus infinity are the same, you get an infinite circle) or a number system where the positive and negative infinity are distinct. These are two distinct number systems (there are many other systems with infinite numbers).
4. In these two distinct systems infinities play with one another and with the “usual numbers” differently than the “usual numbers” do. We can set out a number of rules they must follow.

jenamartin

Please narrate slower! I have a mathematics degree (BA) and I had trouble keeping up with some of your sentences. I can't imagine anyone new to the topic getting it from this.

tomlake

This was a great video! I had to watch a few times and make some notes to grasp it, but it is definitely going to make my pre-calc and calculus easier now that I have a "birds eye view"

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