Studying Tips on getting better at "reading" vector calc equations

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Vector calculus can be challenging, especially when tackling complex equations in courses like Electromagnetism. Familiarity with the material often improves with practice, but time constraints can hinder this process. Helpful resources include instructional videos from Khan Academy and Math is Power, which break down vector calculus concepts into manageable segments. Additionally, Better Explained offers insights specifically into understanding the curl, a common point of confusion. Engaging with these resources may enhance comprehension and ease the learning curve associated with vector calculus.
NicolaiTheDane
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I have this odd difficulty when it comes to vector calculus. No matter what I do, seeing these equations just stays daunting. Its a massive effort for me to read them, and when I say "read" I mean look at the equations, and actually understand what it is it wants me to do. Now as with most math, I suspect I just need to deal with them more, but unfortunately I don't have the luxury of time. I'm taking a course on Electromagnetism atm, and its absolutely brutal. Anyone got any tips or tricks to get more familiar with these types of equations?
 
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One thing that might help you are these videos:

https://www.khanacademy.org/math/multivariable-calculus/multivariable-derivatives

and from this site too:

http://www.mathispower4u.com/calc-iii.php

Each video is about 10 minutes long, and they go step by step through various topics on vector calculus (column 3).

Also, you can check out Better Explained to give you an understanding on the curl which is the most confusing of vector operations in my mind:

https://betterexplained.com/articles/vector-calculus-understanding-circulation-and-curl/

there are more vector topics here:

  1. Vector Calculus: Understanding the Dot Product
  2. Vector Calculus: Understanding the Cross Product
  3. Vector Calculus: Understanding Flux
  4. Vector Calculus: Understanding Divergence
  5. Vector Calculus: Understanding Circulation and Curl
  6. Vector Calculus: Understanding the Gradient
  7. Understanding Pythagorean Distance and the Gradient
 
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Likes berkeman and NicolaiTheDane
Thanks a bunch man! :)
 
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