Essence of calculus, chapter 1
https://www.youtube.com/watch?v=WUvTyaaNkzM
http://3b1b.co/calculus (Alternate link)
Publisher, 3Blue1Brown, Video, YouTube, YouTube Playlist
In this series of videos, Grant Sanderson (3Blue1Brown) want you to feel that you could have invented calculus for yourself.
In this first video, we see how unraveling the nuances of a simple geometry question can lead to integrals, derivatives, and the fundamental theorem of calculus.
More:
Chapter 2 - The paradox of derivative
Chapter 3 - Derivative formulas through geometry
Chapter 4 - Visualizing the chain rule and product rule
Chapter 5 - Derivatives of exponentials
Chapter 6 - Implicit differentiation, what's going on here?
Chapter 7 - Limits
Chapter 8 - Integration and the fundamental theorem of calculus
Chapter 9 - What does area have to do with slope?
Footnote - Higher order derivatives
Chapter 10 - Taylor series
Alternative link takes you to the YouTube playlist for this series.
29 April 2017 Edit: 6 June 2019
- Content Type:
- Publisher, 3Blue1Brown, Video, YouTube, YouTube Playlist
- Australian Curriculum / Mathematical Methods
- Unit 2 Topic 3 Introduction to differential calculus, Unit 3 Topic 1 Further differentiation and applications
- NSW Mathematics Advanced Stage 6 Syllabus
- Calculus, MA-C1 Introduction to Differentiation, C1.1 Gradients of tangents, C1.2 Difference quotients, C1.3: The derivative function and its graph, C1.4 Calculating with derivatives, MA-C2 Differential Calculus, C2.1 Differentiation of trigonometric, exponential and logarithmic functions, C2.2 Rules of differentiation, MA-C3 Applications of Differentiation, C3.1 The first and second derivatives, C3.2 Applications of the derivative, MA-C4 Integral Calculus, C4.1: The anti-derivative, C4.2 Areas and the definite integral
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