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Hacker News Comments on
Multivariable Calculus 1: Vectors and Derivatives

edX · Massachusetts Institute of Technology · 5 HN points · 1 HN comments

HN Academy has aggregated all Hacker News stories and comments that mention edX's "Multivariable Calculus 1: Vectors and Derivatives" from Massachusetts Institute of Technology.
Course Description

We live in a multivariable world. Explore the derivative in higher dimensions and learn how to apply it to solve real world problems. Part 1 of 3.

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This course is offered by Massachusetts Institute of Technology on the edX platform.
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Hacker News Stories and Comments

All the comments and stories posted to Hacker News that reference this url.
The first part of 18.02x (Multivariable Calculus) is open at the moment, not for certificate, but the autograder works. The second part starts next month

Feb 11, 2022 · 2 points, 1 comments · submitted by drhodes

  Unit 1: Functions of two variables

  Graphing functions and slicing
  Level curves
  Partial derivatives
  Tangent planes
  Linear approximation

  Unit 2: Geometry of derivatives

  Dot products
  Vector fields
  Directional derivatives

  Unit 3: Optimization

  Critical points
  Second derivative test
  Constrained optimization
  Lagrange multipliers
  Least squares approximation

  Unit 4: Matrices

  Systems of equations
  Matrix algebra
  Undetermined and overdetermined systems
  Linear functions as matrix maps

  Unit 5: Curves

  Parametric curves in 2 and 3 dimensions
  Chain rule
  Vectors and derivatives in three dimensions and higher
Jun 07, 2021 · 3 points, 1 comments · submitted by drhodes
Why is vector calculus important to programmers? It may not be to some, but for others it definitely is. For games? Some fluency with vectors in three dimensions goes a long ways. ∇ Multivariable calculus opens doors to upper level engineering, statistics, physics, finance, machine learning theory, it's all over the place.

For people who didn't have a great experience with their own university studies and for current students who may have had a less than stellar introduction over a covid semester, this is a great opportunity to really learn it. If you have single variable differential and integral calculus under your belt, my suggestion is to sign up for this class and give it 100%. The course is free to audit, but if you can afford it then give them your money! They'll be incentivized to make more of these excellent courses and besides, they deserve it.

This is an important time for online learning. The hype over MOOCs has died down and the dedicated remaining educators are still at it, learning from our participation. It's not perfect yet, but even today some of the courses are way better than their brick and mortar counterparts. I think this will be true for 18.02x.

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