Links

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
🗋
Prof. Leonard - Calculus I & Calculus II
2012, 2014
Slow-paced long-form lectures with a lot of step-by-step examples
Easy
🗋
Khan Academy - Calculus I & Calculus II
2008-2014
Short-form videos with emphasis on building intuition with examples
Easy
📕

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

Supplementary Resources

Resource
Year
Description
Type
3Blue1Brown - Essence of Calculus
2018
Beautiful visualizations to gain an intuitive understanding of Calculus
🎥
MathTheBeautiful - Calculus I & Calculus II
2018
A collection of worked out examples
🎥
Krista King - Calculus I, II, III
Continiously updated
Great videos to use as concept reviews
🎥
Gilbert Strang - MIT Calculus textbook
1991
A nice companion book while learning Calculus
📚
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)
📚
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
📄
2011
A nice collection of visualizations to understand calculus in three dimensions
🌐