Preparing for Calc I: Self-Study Tips for Higher Placement Test Scores

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Discussion Overview

The discussion centers around self-studying for calculus prerequisites, specifically algebra and trigonometry, in preparation for a placement test for Calculus I. Participants share their thoughts on the effectiveness of self-study versus formal classes and recommend resources for learning.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant expresses a desire to self-teach algebra and trigonometry to avoid taking two prerequisite classes before Calculus I.
  • Another participant suggests that while any book may suffice, true mastery of the material is crucial for success in calculus.
  • Some participants advocate for taking a formal Pre-calculus class, arguing that it can be completed in one semester if the student is strong in algebra.
  • One participant recommends specific books, such as "Trigonometry" by Gelfand, while emphasizing the importance of understanding the material rather than just passing the placement test.
  • Concerns are raised about the potential difficulties in Calculus I and II if foundational knowledge in trigonometry is lacking.

Areas of Agreement / Disagreement

Participants express differing views on whether self-study is sufficient or if a formal class is necessary. There is no consensus on the best approach, with some advocating for self-study and others recommending formal education.

Contextual Notes

Participants note the importance of mastering foundational concepts, indicating that passing a test without true understanding may lead to challenges in future coursework.

armolsf
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I was able to graduate from high school early, so now I am at a community college, and i need to take calc I for an economics major. I don't want to have to take two classes(trig and precalc) in order to take calc I. So I've decided that ill teach myself both of those subjects so that i can get a higher score on the placement test(as well as actually understanding the math itself) and thus avoid having to spend two semesters in pre-req classes.


my algebra is alright i probably need to brush up though,never took and trig. I checked out the Trig for dummies book from the library and I've found it to be well written and I am considering purchasing it on amazon along with the workbook as well as the algebra II book for dummies and workbook by the same author. However, i thought id see what you guys at this forum have to say about which book i should use.

Thanks.
 
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Any book would do really. At a high school level most books would be sufficient.

But just make sure you know what you're doing. I see a lot of people who tell themselves they know the material but in reality don't.

You can pass a test not mastering the material but it will come back to hurt you when you take calculus if you don't have the proper foundations.

That's just something you want to watch out for^^
 
I agree maybe brush up on algebra yourself, but i think you should formally take Pre-calc in a classroom setting. If you are strong in Algebra you can take Pre-Calc in one semester oppose to two.

Good Luck,
Eg
 
Precalculus traditionally covers both algebra and trigonometry, usually in a single semester class. I like Trigonometry by Gelfand, but as stated above almost any precalc or trig book will suffice. However, reading the material and knowing the material are very different matters; it's one thing to read a book and do well enough on a placement exam to exempt out of a precalculus class. If you don't really know your trig it will come back to haunt you in a big way. If not in Calc I when looking at derivatives of trig and inverse trig functions then certainly in Calc II (assuming you have to take Calc II?) when you're covering trig integrals and substitutions. I'm not very familiar with econ major requirements, but I agree with the sentiment that it may not be the best idea to try to skip a class with content you haven't seen before.

Best of luck.
 

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