Preparing for Calc II: Tips and Resources for Success

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Discussion Overview

The discussion centers around preparing for Calculus II after completing Calculus I, focusing on tips, resources, and essential topics to review. Participants share websites, books, and specific mathematical techniques that may aid in preparation.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant requests a list of resources and topics to review before starting Calculus II.
  • Another participant recommends a specific website for self-teaching integration techniques.
  • There is a suggestion to focus on u-substitution and integration by parts as key techniques to practice.
  • A participant shares a link to a book they found helpful, which includes derivatives, integrals, and important theorems.
  • One contributor mentions the importance of understanding trigonometric identities and algebraic techniques, such as completing the square, for solving integrals.
  • Challenging topics identified include parametric/polar tangents, sequences and series, and integrals involving partial fractions and trigonometric substitutions.

Areas of Agreement / Disagreement

Participants generally agree on the importance of reviewing specific techniques and concepts, but there is no consensus on a definitive list of resources or the most effective preparation strategies.

Contextual Notes

Some suggestions rely on personal experiences and may not apply universally. The discussion does not resolve which resources or techniques are the most effective for all learners.

Who May Find This Useful

Students preparing for Calculus II, educators looking for resource recommendations, and individuals interested in enhancing their calculus skills.

Quixot
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What would be on your list if you were preparing for Calc II right after Calc I? If you could point out some web-sites or places to review, test, and check my existing knowledge and see if it satisfactory for a Calc II class.

Thanks.
 
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you can't really do much in 3 days, so just google u-substitution since i don't see it on here, and start doing some integration by parts problems (IBP)

http://tutorial.math.lamar.edu/Classes/CalcII/IntegrationByParts.aspx

you can also get this book for a penny and $3.99 shipping: https://www.amazon.com/dp/0070434093/?tag=pfamazon01-20

it was my secret weapon for calc2, as it had all of the derivatives and integrals of normal functions listed conveniently in the front, as well as log rules, exponents, etc. and the typical theorems for shells / cylinders, etc.
 
I just finished it.

There are some neat little tricks that were helpful on some of the problems. Adding and subtracting a number from the numerator of a fraction to factor and split it. Things like that. It's important to know your trigonometric identities, particularly the half-angle. Completing the square happens quite often too. Aside from that, you really should just fully understand all of the calculus I material. I thought the following topics were more challenging than the rest, and you might work ahead before your course gets to these sections:

Parametric/Polar tangents and arclength
Sequence and Series
Integrals with Partial fractions/trig-sub/by-parts.

The "material" for the integrals sections is not difficult, however, there were (for me at least) many challenging integrals that involved many "tricks" involving algebra/trig that I would not have considered using.
 

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