Introduction to Calculus (2 of 2: First Principles)

[poojithabejugama]

that class does not know how lucky they are to have a teacher like that!

[burnerjack]

If I had this guy as a teacher, my life would have been vastly different.

[mataburt]

3:45 "Sometimes you'll see it called 'delta X', we'll talk about Y in a second." *chuckles*

[piesho]

I took "The Calculus" many years ago and I was never told this in class. We were solving problems like robots: Just following the rules of the game.

Thanks for this.

[benmacdonald]

Wish his students listened a bit more they always seem to be talking over him. Honestly he's got such elegant explanations of these concepts it's amazing.

[wissamali]

Thank you for posting such a beautiful brilliant video about how calculus was invented. I think that every maths instructor should provide an explanation to what was the original problem that the mathematician was trying to solve and how he or she came up with the mathematics. It makes the subject so fascinating and makes the student more engaged, and it shows how it relates to the real world.

[mkmuaqibizzuddin]

I love when teachers start a story to bring students into the topic and end them with tying all the knots back together. Always amazes me and make me awe all the time

[erikmedina]

You're very good at motivating the math, and you bring a lot of energy to the classroom! Excellent!

[chrismusix]

Calculus is the science of 'close enough'!

[samuelatienzo]

6:24 “everyone is AHHHing and i don’t know what’s happening” 😂 classic

[BM-jycb]

This is how maths should be taught. I try and teach my kid maths like this - think of a problem and explain how and why the steps came about to solve it. It astounds me how many teachers - and books - are still happy just to teach formulas to be regurgitated in exams with no "aha" moment in sight. My pet hate is the phrase "move it to the other side and change the sign" NO! I was obsessive about not allowing my son to use this phrase at primary school.

[douba_plusa]

2 days before my AP Calculus exam and this is the first time I think I really understand limits and why the notation dy/dx is used. Thank you Mr. Woo

[lucasbeebe]

Every single student should watch these two videos before learning Calculus. I have to say that this is one of the greatest educational lectures I have ever seen. I don't say that lightly

[owen]

Theres no need to heap praises on you, you've already deservedly been recognised for your awesome achievements. Listening to the way you explain the philosophy of calculus and it's history and then showing the students how its related to geometry is inspiring. There's a passion, you're the Jonathon Thurston of mathematics education in modern day Australia and my children will be learning from your videos outside of school time. I believe that the government should consult you in the curriculum for school kids and how teachers can bring students together like you do.

[johnhiggins]

I just finished Calc III and I still learned things from this video. Good stuff.

[WarriorPocky]

Thank you so much, from the bottom of my heart.

I am currently a nurse, forced into this career by well-meaning parents. But for the longest time, I knew I wanted to do something else with my life. I wasn’t only good at highschool Maths, I *enjoyed* them. To the point that I felt Maths was a way to put “feelings into words.”

Now I have quit my job, took an ALEKS placement test, and had been self-teaching myself in preparation to go back to college. But I hit a slump— “Why am I learning all of these technical things? Do I expect to be just taught to memorize formulas and brute force numbers into them? All of this feel pointless... etc.”

And then I stumbled onto your content. Thank you for showing us the practical, magical, fun, challenging, and somewhat intuitive, side of Math. I have a newfound inspiration to keep studying! Thanks again.

[bestcreations]

This was truly one of the most easy to follow explanations of calculus concepts ive ever heard. High school students could easily follow this, let alone college students. I was tutoring for my college just today when a student came in for calc I help. Ive taken Applied Calc three or so semesters ago so I was able to help. It was tough though, despite getting an A, none of the concepts were ever explained like this and nothing stuck, I couldnt even draw upon any intuition to help me derive the same concepts again or remember them. On my way home I got fixated on the question of "how was the power rule derived and why cant it be used when a variable is in the power" which led me to researching and attempting to derive the equations myself. After I figured out the power rule I also worked out the chain rule. Now im here watching this video and calculus has never been more clear in my life. I dont even know where im going with this story, I just am having an epiphany. Ive never been more interested in a lecture in all my life.

[manavsethi]

hey please teach my maths teacher how to teach

[ShoeibShargo]

For the first time, I kinda felt sad when the bell rang.

[teddi_tqt]

After many years doing calculus like derivatives, I finally understand what it really is. At school, we just focus on the exercises to get used to the rules, but not fundamental like this. Thank you so much for this video.