Should I be conserved about skipping pre-cal?

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Discussion Overview

The discussion revolves around the concerns of a participant who tested out of pre-calculus and is now entering calculus, specifically questioning the importance of trigonometry knowledge. Participants share their experiences and opinions on whether skipping pre-calculus will impact success in calculus.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant expresses concern about missing out on pre-calculus content, particularly trigonometry, despite feeling confident in other areas.
  • Another participant argues that trigonometry is essential for calculus and suggests that the participant should learn it thoroughly.
  • Some participants propose that knowing the properties of trigonometric functions and certain key values is sufficient for success in calculus.
  • Several participants share personal experiences of succeeding in calculus without taking pre-calculus, emphasizing the importance of understanding trigonometric functions.
  • There is a suggestion that the friend's experience with calculus may differ based on the curriculum, potentially lacking in trigonometric content.
  • One participant mentions that their high school calculus class did not cover trigonometry until later in the course, indicating variability in educational approaches.
  • Another participant introduces Euler's formula as a helpful tool for understanding trigonometry.

Areas of Agreement / Disagreement

Participants generally agree that a solid understanding of trigonometry is important for calculus, but there is no consensus on the necessity of pre-calculus as a prerequisite. Multiple competing views exist regarding the sufficiency of self-study in trigonometry versus formal instruction.

Contextual Notes

Some participants note that their experiences with calculus may vary based on the specific curriculum and the level of calculus being taken (e.g., high school vs. university). There is also mention of differing educational standards regarding the coverage of trigonometric concepts.

schlynn
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Ok, I tested out of pre-cal into calculus and calculus with analytic geometry. Should I be concerned about stuff I might miss out on in pre-cal? I know everything in pre-cal that I would have learned, except the trig stuff. My friend is taking calculus now and he said that you don't really need any of the trig stuff that you hammered into your head in calculus.
 
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You should be most concerned about English class.
 
ROFL. I tried to spell concerned, but I can't spell very well, and just clicked the first word that the auto corrector offered me, and didn't ever bother to check it. My bad, but really, should I be concerned?
 
schlynn said:
My friend is taking calculus now and he said that you don't really need any of the trig stuff that you hammered into your head in calculus.

:bugeye:

Then he hasn't gone very far with it. Learn the trig - you'll need it.
And make sure you have a thorough understanding of functions.
 
Like I said, I learned everything except the trig stuff, but when I say trig stuff I mean that I don't have the values of certain sin and cos memorized or that I don't have the identity's memorized. I have a trig book, I worked 3/4 of the way through it, it was surprisingly easy. I think that I'll be good.
 
As long as you know what the trig functions are and some of their properties (like what their graphs look like), you should be good. Don't worry about memorizing tons of trig identities. Most calculus books will have the most important identities listed on the front cover anyway so you can always refer to them quickly when needed.

I would recommend learning the values of sine and cosine at 30, 45, 60, 90...and so on because knowing these values will help you later on.

Overall, the fact that you worked through most of your trig book already and tested out of pre-calc means you will probably do just fine calculus. I wouldn't worry at all.
 
Sweet, that's what I wanted to hear. And yeah, the trip book I have went way into detail about the graphs of all the trig functions. Even ones like inverse hyperbolic cotangent. I'll memorize the values of sine and cosine at 30, 45, 60, 90 and so on, like you suggested though, that shouldn't be very hard I think.
 
You'll be fine. I also never took pre-calc before i took calculus 1 last semester at my university and I passed with a pretty solid A. Like others have said, the most important thing is a thorough knowledge of trig functions; I wish I had known them a little better.
 
mg0stisha said:
You'll be fine. I also never took pre-calc before i took calculus 1 last semester at my university and I passed with a pretty solid A. Like others have said, the most important thing is a thorough knowledge of trig functions; I wish I had known them a little better.

So true.

I haven't taken trig in a while and I would always get stuck whenever a calculus problem came that invovlved that stuff. I think trig functions and log functions are very important. However those aren't too hard to learn on your own. In fact, I re-learned them as I was going along in calculus. Which I was successful in the class, but they are still a HUGE weak point for me.
 
  • #10
Yep. Just take a few days to learn the trig and you will do fine.

No problems.
 
  • #11
The testing is there for a reason. I'm sure you'll be fine.
I never took pre-calc, so I don't know exactly what they cover in it, but I'd imagine that doing well enough to "test out of it" means the people that make the curriculum feel that you will be fine without it.

I have to disagree with your friend's assessment of trig's importance. Every new level of math I take seems to make the trigonometric fundamentals more and more important.
 
  • #12
Is it possible that your friend is taking business calculus (or calculus for social science... however you call it at your institution) instead of standard calculus? Because the former never talks about trigonometry (at least at my institution) whereas the latter talks tons about it.
 
  • #13
Well, he's taking calculus in high school. And apparently they skip a bunch of stuff. Like they never did quadratic approximations, only linear, and things like that. So that could explain why, and he fail calculus horribly, so maybe he just missed it.
 
  • #14
Euler's formula. Just make it a habit, using this identity, and you'll never have any troubles with trigonometry.
 
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  • #15
Your friend might have not seen trig in calculus yet because they may have not gotten to the relevant parts of the subject yet. I know my high school calculus class barely mentioned trig in the first semester, but we used it a *lot* in the second semester. (I remember because I didn't take pre-calc before I took calc, and I had to learn the trig I needed on the fly.) The first semester of my calculus class covered the basics of differentiation and integration, while the second semester focused on various integration techniques and applications, both of which used a lot of trig.
 
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