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#1130 overall

Big Picture Calculus

MIT OpenCourseWare

1 recommender · 1 thread · recommended in 1 year, 2017 · score 0.7

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A video lecture series from MIT OpenCourseWare that gives an overview of calculus, meant as a refresher on the main ideas.

The one commenter calls it designed precisely for refreshing calculus before moving on to other math.

Mathematicsbeginnerfreevideo lectures#calculus#mit ocw#visual intuition#refresher

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What commenters said (1)

  1. Recommendsespeed2017in “Ask HN: How to Learn Math”

    Start with a refresher on calculus -- MIT's "Big Picture Calculus" video series is designed precisely for this: https://news.ycombinator.com/item?id=13634476

    To develop your visual intuition, watch 3Blue1Brown's YouTube channel (he also has an "Elements of Calculus" series coming soon): https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw

    Try to find the geometrical underpinning for each topic you learn. This will not only help you visualize what you're learning, but it will also help keep a red thread going as you traverse from topic to topic.

    After calc, I would study Linear Algebra next since it's at the heart of numerical computing today, see: https://news.ycombinator.com/item?id=13620871 (note the comments, they also include many good pointers and references, e.g. here's a list of video's that help you visualize https://news.ycombinator.com/item?id=13623711).

    The Numberphile channel is always good to keep your mind thinking in numbers: https://www.youtube.com/user/numberphile

    Also, you can go through my HN stories profile -- there are a ton of math-related links and discussions in there, such as this one: https://news.ycombinator.com/item?id=13631213

    Explore math topics on WikiPedia, YouTube and online lectures from MIT/Stanford/Caltech/Berkeley etc.

    Group theory comes up often: https://en.wikipedia.org/wiki/Group_theory

    Set theory is at the root of everything: https://en.wikipedia.org/wiki/Set_(mathematics)

    Pay close attention to the concept of intervals: https://en.wikipedia.org/wiki/Interval_(mathematics)

    Practice reading journal articles until you can start to understand the notation (this may take a while but persevere, the continual exposure will start building fluency).

    Practice implementing the concepts you're learning in Python.

    Ask questions on MathOverflow http://mathoverflow.net. Quora is also good: https://www.quora.com/

    Get and read SICP and do the material for the online MIT SICP course (it's the all-time classic CS course, with a math bent): https://ocw.mit.edu/courses/electrical-engineering-and-compu...

    ...the SICP videos are on YouTube too https://www.youtube.com/playlist?list=PLB63C06FAF154F047

    Explore and have fun!

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