Understand Calculus in 45 Minutes

This video is my attempt to provide an overview and concisely explain the concepts in Calculus 1. While Calculus isn't learned in just 45 minutes, this video essentially gives a basic overview of all relevant topics in first calculus courses, providing basic examples and geometric intuition of what calculus looks like.
This video is divided into four (4) chapters, specifically covers the following topics:
• Chapter 1: Limits and Continuity
• Chapter 2: Derivatives
• Chapter 3: Applications of Differentiation
• Chapter 4: Integrals
I worked really hard to accomplish this video. It's inspired by 3Blue1Brown-type videos and is made using a Python library called Manim. Feel free to suggest improvements, and point out the possible mistakes I have made in this video (hopefully not much since this video is thoroughly checked).
I hope this video helped you understand the basic concepts of Calculus 1, or even help you review through your Calculus exams. Please subscribe and support this small channel for more uploads!
========== [TIMESTAMPS] ==========
CHAPTER 1: LIMITS AND CONTINUITY
0:00 Intuitive Notion of a Limit
1:55 Limit Theorems
2:11 Algebraic Techniques in Solving Limits
2:53 Infinite Limits
3:40 Limits at Infinity
4:42 Curve Sketching Using Limits
6:20 Continuity
8:07 Intermediate Value Theorem
8:45 Squeeze Theorem
10:03 Epsilon-Delta Definition
CHAPTER 2: DERIVATIVES
11:01 Limit Definition of the Derivative
13:16 Differentiation Rules
14:25 Higher-Order Derivatives
14:58 Differentiability
15:33 Chain Rule
16:21 Implicit Differentiation
17:10 Logarithmic Derivatives and Differentiation
18:19 Derivatives of Other Special Functions
18:57 Equations of the Tangent Line
CHAPTER 3: APPLICATIONS OF DIFFERENTIATION
20:17 Mean Value Theorem
21:18 Derivatives and Graphs
23:26 Extreme Value Theorem
23:46 Indeterminate Forms and L’Hôpital’s Rule
24:39 Optimization
26:25 Rates of Change and Related Rates
27:55 Differentials and Local Linear Approximation
CHAPTER 4: INTEGRALS
30:08 Antidifferentiation Rules
32:08 Integration by Substitution
34:06 Antiderivatives of Special Functions
36:08 Separable Differential Equations
37:18 Riemann Sums and the Definite Integral
38:52 The Fundamental Theorem of Calculus
42:27 Mean Value Theorem for Integrals
42:52 Area Between Two Curves
43:59 Conclusion
========== [MUSIC] ==========
Sovereign Kevin MacLeod
Licensed under Creative Commons: By Attribution 3.0 License
creativecommons.org/licenses/b...
Artist: incompetech.com/
Ambiment Kevin MacLeod
Licensed under Creative Commons: By Attribution 3.0 License
creativecommons.org/licenses/b...
Artist: incompetech.com/
Drone in D Kevin MacLeod
Licensed under Creative Commons: By Attribution 3.0 License
creativecommons.org/licenses/b...
Artist: incompetech.com/
Chords of Harmony and Dreamland by Aakash Gandhi
Frozen in Love by Aakash Gandhi
#calculus #math #calculus1

[@isaac10231]

Put this on your resume dude! It's great.

[@abbasfadhil1715]

Man I can’t appreciate you enough this vid helped my enormously thx from the bottom of my heart

[@wonjontheaxolotl]

THIS IS SO GOOD and so much effort put into it, i will definitely use this video in the future

[@yesnomaybeso9144]

Hey I just wanted to thank you for this wonderful video! Your time and effort is much appreciated, and I'm definitely going to be using this video to learn and study for Calculus 1 :)

[@MancoBlanco]

Excellent work, thank you very much for posting this

[@DantorrTorres-pv8iv]

Subscribed, thanks for this!

[@gtrf0129]

Excellent video

[@rudransh6583]

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[@4limusic542]

How does this have 1.2k views!

[@finhz]

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[@trumpgaming5998]

This video could have been much shorter and started off more user-friendly at the beginning. The transitions could have been much smoother rather than jumping onto "here is the squeeze theorem" or "here is the mean value theorem".

[@PabloEstaVerga]

Algo bien.