Відео

Forget "My dad could beat up your dad!" go straight for "My math teacher could beat up your math teacher!" instead!

🙋‍♂

Thanks man was super helpful!

You can spit all over me Daddy Leonard, I wouldn't mind 16:18

As simple as he makes it out to be, if you don't get a full understanding of what he's doing, don't even take Calculus or Statistics because 90% of the equations are radicals!!!!! An its not the Calculus or Stats that's the problem; its most people's algebra and arithmetic skills that kills them in those courses😒😒😒😒😒😒😒😒😉😉

low dee high minus high dee low, all over the squared below

This guy is funny and good at explaining math. Such a gifted/skilled/tactful man! Thanks for helping me

2:12:21

Super teacher, 👍👍 🙏 GOD Bless you sir. Amen

56:43

00:02 Introduction to functions in calculus 02:50 A function assigns each input to a unique output. 07:00 Understanding functions and notation for input and output 09:13 Understanding functions and their notation 14:34 Determining if a given equation is a function. 16:40 Introduction to peace wise functions in calculus. 21:21 Functions can be defined with a piece-wise definition. 23:58 Graphing piecewise functions involves graphing each piece individually within the given range. 28:47 Understanding piecewise functions and graphing them. 30:48 Graphing functions involves understanding various shapes such as circles. 34:37 Understanding domain and range in functions 37:12 Functions in real life have restrictions to ensure practicality. 41:47 Understanding the domain of a function. 43:47 Identify problem numbers for domain restrictions 48:25 Understanding the positivity constraint of radicals. 50:05 Finding ranges for roots based on inequality 53:49 Testing points in a quadratic function to determine positivity 55:31 Understanding the domain of a function and its implications. 59:19 Understanding domain issues with denominators 1:01:33 Simplification maintains original domain. 1:06:12 Understanding and removing discontinuities in functions 1:08:23 Vertical ASM toote occurs when a number is divided by zero. 1:12:43 Introduction to functions and finding range 1:14:39 Introduction to domain and range in calculus 1:19:10 Finding domain leads to range discovery 1:21:02 Creating cardboard boxes by cutting and folding a piece of cardboard. 1:25:59 Calculating volume of a rectangular prism using dimensions 1:27:53 X has to be greater than zero for sure. 1:31:45 Even functions are symmetric about the y-axis, odd functions are symmetric about the origin. 1:34:14 Identifying even and odd functions

00:02 Introduction to functions in calculus 02:50 A function assigns each input to a unique output. 07:00 Understanding functions and notation for input and output 09:13 Understanding functions and their notation 14:34 Determining if a given equation is a function. 16:40 Introduction to peace wise functions in calculus. 21:21 Functions can be defined with a piece-wise definition. 23:58 Graphing piecewise functions involves graphing each piece individually within the given range. 28:47 Understanding piecewise functions and graphing them. 30:48 Graphing functions involves understanding various shapes such as circles. 34:37 Understanding domain and range in functions 37:12 Functions in real life have restrictions to ensure practicality. 41:47 Understanding the domain of a function. 43:47 Identify problem numbers for domain restrictions 48:25 Understanding the positivity constraint of radicals. 50:05 Finding ranges for roots based on inequality 53:49 Testing points in a quadratic function to determine positivity 55:31 Understanding the domain of a function and its implications. 59:19 Understanding domain issues with denominators 1:01:33 Simplification maintains original domain. 1:06:12 Understanding and removing discontinuities in functions 1:08:23 Vertical ASM toote occurs when a number is divided by zero. 1:12:43 Introduction to functions and finding range 1:14:39 Introduction to domain and range in calculus 1:19:10 Finding domain leads to range discovery 1:21:02 Creating cardboard boxes by cutting and folding a piece of cardboard. 1:25:59 Calculating volume of a rectangular prism using dimensions 1:27:53 X has to be greater than zero for sure. 1:31:45 Even functions are symmetric about the y-axis, odd functions are symmetric about the origin. 1:34:14 Identifying even and odd functions

Hello there, I think in square roots, you should have instead written, "Inside must be non negative". Inside must be positive excludes zero you see...

The best teacher. I have so much fun doing math. I always loved math. And you keep it straight forward and fun! Thank you professor.

Implicit Diff- 1:26:39

I felt so embarassed coming into this lecture with some calc 1 knowledge and realising that I "wasted" my time inputting the values in the f(x+h) - f(x)/h formula when i could've just nx^n-1 😭😭😭😭

Same rules in Calculus except SIN, COS, and TAN along with a Derivative are added in the mix😛😃

Professor Leonard, please turn on autosubs for the video 😭😭🙏🙏

Pay attention!! You will have to know this in Calculus to solve 90% of the problem sets😳😲😯🙂

I used this lesson to help me with my Calculus 3 problem sets. There are a lot of radical expressions in Calculus and Differential Equations Math (Calculus 4)😳😎

Best limits video I've ever seen ...thank you so much you really saved my life 😊❤

thanks sir

I have linear in the fall. Come back Professor lol

just got through the entire course and I'm so glad to have come across your channel. I will be continuing in the more advance courses. You are easily my favorite math teacher I've ever had.

Order of Operations will kill you in Calculus, Linear Algebra, and Differential Equations! He teaches it correctly!!! He's a graduate of MIT with his PhD from Princeton! Professor Leonard knows what you need to know in math!!! Most of the NASA staff had to take calculus at MIT as well!!

Hate to say it but if you don't pay attention to this specific lesson, don't even attempt to sign up for Calculus 1, 2, or 3!!! This is the stuff that trips up folks. Don't laugh; I'm just saying!

You are legit the best freaking teacher I've ever seen. When I have money I will support your Patreon. Because I really can understand everything from your humour and simple way of teaching ^^

ikr

1:08:30 not sure why he didn’t mention that since x≠4, and because x=4 would be a vertical asymptote, then there would be an infinite discontinuity at x=4… maybe he mentions it later? Not sure

Im a little lost on the first example problem because for the second derivative test I get zero, so it won't tell me if Max, Min, or Saddle. So how did you know it's a max. I know this is probably the wrong way to go about figuring this out, but I plugged in values less than (3/2 and 1)/from the left and did the same for values from the right/(values greater than 3/2 and 1). However, the Z variable is constantly Increasing at least for the values I plugged in/((7/5, 0.9) left point and (8/5, 1.1) right point). Do values from the right not count since we have a constraint? Therefore, you can see the z variable Increase from the left to your calculated values of X and Y plugged in and go okay this has to be my lowest point or my highest point therefore Increasing Z variable = Maxima.

Holy moly, do you know how many hours I've spent rereading 2 pages of a book? And this video manages to make me understand all of that formal jargon in less than an hour. As always, thanks for your service sir!

Thank you for your service kind sir!

WE NEED YOU BACK PROFFESOR LEONARD

Sir you forgot to off capslock ☺☺

This was extremely helpful. Thank you.

Thank you for this series. I love that you're not just telling us what to do, but why we're doing it.

This lecture is wonderful because of previous lecture.. Thank you

3:13:37

Thank you professor , for the first time in my life , I'm not memorizing maths , and everything makes sense to me.

Full of fun all the best professor 😂😂😂

over 3 hour lecture and i have to go review spherical 😠 not nice professor!

9:09 That really hit home, I am still waiting for my moment to shine 😂

I trust you because you got bigger biceps then mine

Anyone notice how drastic the views drop on lecture 2? Lol

These classes hold a different value for online students that haven't touched pre-calc in almost 20 years... I forgot everything. I won't need this in my field, but I'll probably need to help my kids in a few years.

42:02

3:15:36

Thank you so incredibly much for the lessons they were incredible and I honestly even got a sad that it was the end. best wishes<3

30:03 thanks to that one student who said it's horizontal.... Everyone else didn't even know. Oh god....

Dear Prof. Thank you very much for giving us a wonderful course. I really appreciate you for spending time to prepare these videos.