Calc 3 review material suggestions

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SUMMARY

To prepare for Calculus 3, students should focus on reviewing essential concepts from Calculus 1 and 2, particularly differentiation and integration techniques. While trigonometric substitution is mentioned, it is not deemed critical; however, a solid understanding of derivatives and integrals is necessary. Familiarity with linear algebra concepts such as dot products and cross products, along with trigonometry and polar coordinates, will enhance comprehension in 3D calculus. Overall, a strong foundation in these areas will facilitate success in Calculus 3.

PREREQUISITES
  • Understanding of differentiation and integration techniques
  • Familiarity with trigonometry and polar coordinates
  • Basic knowledge of linear algebra concepts, specifically dot products and cross products
  • Review of essential topics from Calculus 1 and 2
NEXT STEPS
  • Review differentiation and integration techniques from Calculus 1 and 2
  • Study trigonometric functions and their applications in calculus
  • Learn about polar coordinates and their relevance in three-dimensional space
  • Explore linear algebra concepts, focusing on dot products and cross products
USEFUL FOR

Students preparing for Calculus 3, particularly those transitioning from Calculus 1 and 2, as well as individuals seeking to strengthen their understanding of trigonometry and linear algebra in a calculus context.

J Goodrich
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Can anyone give me some suggestions of some essentials, calc or non-calc, that I should review and be comfortable with in calc 3?

I know trig sub is supposedly important, and I'm assuming other basic derivative/integration techniques will be coming up a lot too...a lot of topics are bound to show up at one point, but are there any important algebra or trigonometric things I should specifically brush up on before going into this math?

Thank you!
 
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https://www.physicsforums.com/showthread.php?t=328938

The OP of that thread asked for how to review for both calc 3 and diff eq, but the stuff you should review for both of these courses are pretty similar...

Usually, though, the basic stuff from Calc 1-2 is really all you need... you'll be basically doing the stuff you did in those classes in 3D when you get to calc 3. I don't remember trig sub being that important though... but you'd certain want to know some differentiation/integration techniques, and you should review what derivatives/integrations actually are. Some linear algebra concepts like dot products and cross products would be helpful, but the class will cover those materials as well, so no worry if you haven't seen it.

To name a few more, trigonometry and polar coordinates will be helpful as well.
 
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