You Can Learn Calculus 1 in One Video (Full Course)

This is a complete College Level Calculus 1 Course. See below for links to the sections in this video.

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For many more examples check out my Calculus 1 playlist here:

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SECTIONS
1) Introduction to Limits
2) Computing Limits from a Graph 5:38
3) Computing Basic Limits by plugging in numbers and factoring 8:37
4) Limit using the Difference of Cubes Formula 1 12:34
5) Limit with Absolute Value 14:53
6) Limit by Rationalizing 16:29
7) Limit of a Piecewise Function 19:34
8) Trig Function Limit Example 1 21:37
9) Trig Function Limit Example 2 22:38
10) Trig Function Limit Example 3 23:41
11) Continuity 25:35
12) Removable and Nonremovable Discontinuities 34:06
13) Intermediate Value Theorem 42:42
14) Infinite Limits 49:43
15) Vertical Asymptotes 57:33
16) Derivative (Full Derivation and Explanation) 1:04:11
17) Definition of the Derivative Example 1:12:10
18) Derivative Formulas 1:15:39
19) More Derivative Formulas 1:23:11
20) Product Rule 1:26:59
21) Quotient Rule 1:30:26
22) Chain Rule 1:34:10
23) Average and Instantaneous Rate of Change (Full Derivation) 1:39:52
24) Average and Instantaneous Rate of Change (Example) 1:47:37
25) Position, Velocity, Acceleration, and Speed (Full Derivation) 1:51:42
26) Position, Velocity, Acceleration, and Speed (Example) 1:59:36
27) Implicit versus Explicit Differentiation 2:09:25
28) Related Rates 2:14:14
29) Critical Numbers 2:18:46
30) Extreme Value Theorem 2:28:36
31) Rolle's Theorem 2:34:50
32) The Mean Value Theorem 2:41:20
33) Increasing and Decreasing Functions using the First Derivative 2:48:13
34) The First Derivative Test 2:53:28
35) Concavity, Inflection Points, and the Second Derivative 3:00:53
36) The Second Derivative Test for Relative Extrema 3:10:06
37) Limits at Infinity 3:14:26
38) Newton's Method 3:17:16
39) Differentials: Deltay and dy 3:21:39
40) Indefinite Integration (theory) 3:24:11
41) Indefinite Integration (formulas) 3:34:52
41) Integral Example 3:41:54
42) Integral with u substitution Example 1 3:43:21
43) Integral with u substitution Example 2 3:45:31
44) Integral with u substitution Example 3 3:47:49
45) Summation Formulas 3:49:38
46) Definite Integral (Complete Construction via Riemann Sums) 3:58:04
47) Definite Integral using Limit Definition Example 4:10:16
48) Fundamental Theorem of Calculus 4:18:18
49) Definite Integral with u substitution 4:25:47
50) Mean Value Theorem for Integrals and Average Value of a Function 4:28:05
51) Extended Fundamental Theorem of Calculus (Better than 2nd FTC) 4:36:16
52) Simpson's Rule 4:44:59 error here: forgot to cube the (3/2) here at the end, otherwise ok!
53) The Natural Logarithm ln(x) Definition and Derivative 4:50:25
54) Integral formulas for 1/x, tan(x), cot(x), csc(x), sec(x), csc(x) 4:56:30
55) Derivative of e^x and it's Proof 5:02:19
56) Derivatives and Integrals for Bases other than e 5:08:33
57) Integration Example 1 5:15:37
58) Integration Example 2 5:17:16
59) Derivative Example 1 5:19:15
60) Derivative Example 2 5:20:32

Please leave any comments or questions in the comment section below. Thank you:)

[joez]

Just wanna say, as someone who hasn't taken calculus in a couple years and now finds himself registering for a class where calc is a prerequisite, this video is super useful as a refresher! Very clear and concise. Thank you!

[VideoGames_Wizard]

Day 1: 58:24 Day2: 1:34:11 Day3: 1:55:52 Day4: 2:14:22 Day5: 3:00:59 3:35:00
5:02:25 day 13: 5:22:00🎉🎉

[thanasispappas]

Absolutely amazing how you can pack so much info in a relatively small time (compared to most calc playlists) and yet be so clear. Great work, this video really saved me. Would love if you also did a similar one for calc 2!

[nika]

This is amazing. For a month I was struggling with calculus, especially the continuity of a function. After only 5 minutes of your video I finally understood it. Thank you!

[jorgeromero]

I am a member of this channel since I saw this video, which is a really good one. I hope your channel grows up. Keep going!

[aliabbas-xsqm]

You man are legend, i missed out on my CAL classes due to covid and didnt know shit. But this thing is the only thing saving me. So detailed yet so easy.

[jeannetteshaw]

Thank you for giving such a great review of a cal 1. I am in Cal 2 right now and I haven’t taken cal 1 since two years ago this help me remember a lot

[sedenions]

Never was "smart enough" to be in the calculus track in high school or college. Now, I am supplementing this with Larson 10e. Thank you!

[eliseuantonio]

I have a calculus placement exam due today and this is helping me a lot in reviewing and relearning important topics. Thank you

[austincarter]

You make all of these concepts so easy to understand. I love your “no assumptions” way of teaching the concepts. It makes you feel like you’ve done it all before.🙏

[brandonfiennies]

I saw his channel grow from a humble 30k to now almost a million subscribers. I'm truly proud of the math sorcerer. He inspired me to challenge myself and I grew to love maths even more.

[franchesco]

I found your channel with this video, you are a genius! I hope my professors at university explained things like you do. Thanks for all the time and effort you invested making this video! Greetings from south america!

[thechannel]

brother you taught very effectively really i can't believe that i have understood all those boring things which i hated from my childhood since it was being taught. it had became fear for me to try to understand this which is gone now.
again thank you buddy god bless you and your family.

[Mynhassty]

You should do this but for Calculus 2! Thank you so much for this content

[coopermoss]

This video was incredibly beneficial. I have a final coming up and needed help. I appreciate this so much. Keep doing great things. Thanks.

[brycecounts]

You have a natural ability to teach. Really good work here, thank you for putting this up.

[Rwko.]

4:25:27 No bro, you are the cool one here. You made me LEARN and LIKE calculus. I couldn't thank you enough!

[devondevon]

Great explanation on limit and derivatives at the start of the video.

[phapalla]

Great video! Helped me relearn calc really quickly.
The only thing is that erasing the board with your hand hurts my soul.

[Veni-]

Wow thanks for the summary of Calculus today is the birthday of Calculus 🥳🥳🥳