Calculus 1,2,3 -- Brief overview of calculus

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

[stewartmoore]

You have the most reassuring voice I've ever heard, which bodes well for a maths teacher.

[ucr]

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.

[yassinechritt]

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.

[Roshan-tbiz]

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.

[PyMoondra]

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.

[alexbuckley]

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.

[ahillan]

Thank you Prof Butler, your perspective on math has changed my reaction to math.

[omniyambot]

I just discovered your channel! I'm taking Khan Academy and your contents are very effective to me. Your enthusiasm is contagious.

[abrambenker]

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!

[arnabdas]

You are a godsend. Thank you for what you do sir.

[jreed]

Got this video as an assignment from my teacher. Love your teaching style and calming voice. I will come back to this channel!

[MarcusLeo]

This video should have way more views really great stuff

[lxipfeee]

i could listen to this man speak for hours

[zerinfiroze]

I am so scared for the Calc3 prep check quiz this Thursday!

[devincross]

Had to hit the like button when he dropped a "limits" joke

[JLKeener]

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! 😄

[mikhaeldito]

Never have I thought that I would find myself laughing because of a joke on limits...

[raba]

This explanation made me want to subscribe.

[davidaregbe]

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.

[Hi_Brien]

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?