Calculus

Single Variable Calculus Courses

Prerequisites: High school algebra and trigonometry.
Recommended path
    If you're looking for a rigorous set of lectures, go through MIT 18.01.
    If you want to refresh your memory of calculus concepts, use Trefor Bazett's videos.
    If you are scared of calculus and want to go through as many examples as possible, use Prof Leonard's lectures.
    If you learn most when going through examples, but Prof Leonard's videos are too long for you, try Khan Academy.
Course
Year
Description
Difficulty Level
Resources
2010
Rigorous, relatively fast-paced lectures
Medium
Trefor Bazett - Calculus I & Calculus II​
2017
Short-form videos with emphasis on simple explanations
Easy-Medium
πŸ—‹
Prof. Leonard - Calculus I & Calculus II​
2012, 2014
Slow-paced long-form lectures with a lot of step-by-step examples
Easy
πŸ—‹
Khan Academy - Calculus I & Calculus II​
2008-2014
Short-form videos with emphasis on building intuition with examples
Easy
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Multivariable Calculus Courses

Prerequisites: Single Variable Calculus
Recommended path
    Basically the same as above. One difference: if you're looking for videos that go through similar content as the MIT lectures (with similar level of rigorousness), but from a different perspective or with a different set of examples, try out Michael Penn's videos.
Course
Year
Description
Difficulty Level
Resources
2010
Rigorous, fast-paced lectures
Medium
Michael Penn - Multivariable Calculus​
2020
Short-form videos that also covers topics that a bit more challenging.
Medium
​
Trefor Bazett - Calculus III​
2019-2020
Short-form videos with emphasis on simple explanations
Easy-Medium
​
Prof. Leonard - Calculus III​
2016
Slow-paced long-form lectures with a lot of step-by-step examples
Easy
​
Khan Academy - Multivariable Calculus​
2016-2018
Short-form videos with emphasis on building intuition with examples
Easy
​
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Supplementary Resources

Resource
Year
Description
Type
3Blue1Brown - Essence of Calculus​
2018
Beautiful visualizations to gain an intuitive understanding of Calculus
πŸŽ₯
MathTheBeautiful - Calculus I & Calculus II​
2018
A collection of worked out examples
πŸŽ₯
Krista King - Calculus I, II, III​
Continiously updated
Great videos to use as concept reviews
πŸŽ₯
Gilbert Strang - MIT Calculus textbook​
1991
A nice companion book while learning Calculus
πŸ“š
David Guichard, Neal Koblitz - Single and Multivariable Calculus textbook​
2020
Another calculus book that covers similar topics as Strang but is a more recent publication (2020)
πŸ“š
Terence Parr, Jeremy Howard - The Matrix Calculus You Need For Deep Learning​
2018
An overview of the core concepts you need in matrix calculus to understand the fundamentals of training deep learning models
πŸ“„
Tom Kiffe - Calculus Visualizations​
2011
A nice collection of visualizations to understand calculus in three dimensions
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Last modified 8mo ago