Calculus 1,2,3 -- Brief overview of calculus
Вставка
- Опубліковано 28 лип 2024
- Presenter: Steve Butler (mathbutler.org)
Course websites: calc1.org, calc2.org, calc3.org
0:00 Introduction
0:33 Short summary of calculus
2:43 Differential calculus
7:00 Integral calculus
11:23 Why study calculus
17:36 How to succeed - Фільми й анімація
You have the most reassuring voice I've ever heard, which bodes well for a maths teacher.
That comes from hanging out with some great teachers, particularly Ron Graham!
Thank you so much, you have what 99% of our teachers lack, an actual understanding of why and what is maths and not just how to do it.
Thank you for your comment. I do think that math should be non-mysterious and there are reasons why we do things.
If I had to rank the difficulty of all the math classes that I took in College, here is the ranking from easiest to hardest, here it is:
1. Calculus 1 (This was the simplest and most important math/Calculus class I took in College. If anyone cannot beat this Calculus class in College, there is no way you can beat the higher Calculus or math classes [e.g., Calculus 2, 3, Linear Algebra, Differential Equations]. You do not even necessarily need Calculus to beat Calculus 1 but you do need algebra and trigonometry to beat this class. In fact, Calculus 1 is where your algebra and trigonometry skills could pass or fail you. I got a B on first try. )
2. Linear Algebra (the Calculations are straightforward but tedious and the proofs were a bit of a challenge. It was my first taste of abstract mathematics. Luckily, I had a nice professor and it was an introductory course. I got a C+ on first try.)
3. Calculus 2 (I barely passed this class on my first try (I got a C grade). If you do not have good Calculus 1 and/or Trigonometry/PreCalculus and/or critical thinking skills, this class will expose you. I had trouble determining whether an improper integral or series/sequence diverge or converge and had trouble with basic differential equations)
T-4. Calculus 3 and Differential Equations, the difficulty was a tossup. I both got D's on the first try but second time, I got C's. These classes exposed my single variable calculus skills particularly integration. If you do not have good single variable calculus skills, prepare to struggle with these two classes.
This video should have way more views really great stuff
You are a godsend. Thank you for what you do sir.
I got really excited about Calc III and decided to get a jump on it over break. Thank you for all the videos! You saved me in Calc II!
Love your channel and teaching style. I am going through your Calc 3 playlist, and your voice, your jokes all resonate with me =). Thank you so much for uploading this for everyone.
Thanks. I am glad to hear that people find them useful!
Your content and presentation is brilliant. I came across your site because now in my early 50s I have been trying to re-teach myself Calculus and I was really unhappy with the free material available at other very reputable institutions.
I have one request. Could you make the audio per lecture available as a separate file as well? It would be of tremendous help to serious self-learners like me who would like to review material while they travel to work.
Thank you, I hope that you find the materials helpful as you go through calculus again.
As for the audio files, I don't store and post them separately but there are various websites that let you download the audio files from youtube videos (e.g. yout.com). As a word of caution, I tend to think/explain geometrically and so will often point to pictures and so you will miss out from time to time understanding what is happening without the images.
@@BeardMeetsCalculus I do appreciate your reply. I watch your videos first and work out problems and then listen to audio as I travel. When I listen to audio I replay the demonstrations from your video in my mind. This helps me embed concepts and understanding. Listening to the audio without having watched the video first would be lacking, as you point out. And approximating non-flat surfaces as flat was innovative. I never thought of it as such before, despite reading a couple of books and watching videos from other OpenCourseware sites. Thank you again.
For anyone else out there, I am using VLC media player to download the files and extract the audio from them.
Had to hit the like button when he dropped a "limits" joke
I definitely agree with working with other people. Once quarantine started, I noticed myself not holding myself to the standards that the people I worked with held me to. Working alone allowed me to definitely be on the lazier side which, with Calculus 2 was not a good trait to have.
I always like working with other people, and I say that as someone who is an intense introvert. Good luck in your future classes!
Thank you Prof Butler, your perspective on math has changed my reaction to math.
You are welcome.
Got this video as an assignment from my teacher. Love your teaching style and calming voice. I will come back to this channel!
Thank you. I hope it helps!
I just discovered your channel! I'm taking Khan Academy and your contents are very effective to me. Your enthusiasm is contagious.
Nice, I hope this material helps. Good luck in your studies.
Brilliant video, Professor Butler! Thank you so much for taking the time to explain these mathematical ideas so well. It’s greatly appreciated and is a big help to me as I study algebra and calculus for personal enrichment. Learning is fun! 😄
Glad to hear it.
This guy is awesome!
i could listen to this man speak for hours
Me too.
I love the limits joke!👌🏼
One of the great things about actually seeing a person beyond just their hands is that you can pick up on more of the subtle body language humor (or perhaps in this case not-so-subtle humor).
This explanation made me want to subscribe.
A big high-five for your efforts!
Thank you!
Never have I thought that I would find myself laughing because of a joke on limits...
You are a great teacher!
Thank you.
great
Oaky, so there are two new things I noticed. First is that certain time intervals have names now! Like woah! And second that there are distinct time intervals, like with gaps in the video progress bar! Is there other cool stuff that I missed?
The reason I do calculus is because it's pretty! It just feels like a great and clever exercise
Yes, I am playing around with some of these features. I feel that every iteration of making videos I get better. Someday I may even do it properly!
One more thing I will be playing with is the ability to post "notes" about topics which are a short summary of the ideas and lists of problems and if you click on any part of it you get sent to the relevant clip (for example the solution to a problem). We will see how it goes. Tomorrow is the first proper experiment.
This video just made me want to learn calculus
Woohoo! Comments like this make we want to teach calculus.
you are very good > subscribed :)
Thank you.
I love biology ,,but I want to learn calculus and I like it
Woohoo! sounds great, hope you continue to like it
When you look at calculus notation for the first time, it looks scary. I think explaining like you did before indroducing the notation really makes students less nervous about calculus.
Thank you. Calculus is at its root a few beautiful ideas which we often seem to obfuscate with a lot of notation and algebra. By understanding the ideas from the start it makes the whole process of learning more enjoyable.
Write the equation of the line that passes through thepoint(−1,2)and is perpendicular to the line passingthrough the points(6,1)and(−3,7). Give yourequation in the form ofy=mx+b.
Anyone ever told you, you and Seinfeld share the same voice?
I think this might be the first time someone has told me that. Hmm....