Deciding Between Calc 1 and Trig 1 in College

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Discussion Overview

The discussion revolves around the decision-making process for selecting between Calculus 1 and Trigonometry 1 in college, particularly focusing on prerequisites and the relevance of prior mathematical knowledge. Participants explore the implications of their backgrounds in algebra and precalculus on this choice.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • Some participants suggest that if one has not taken trigonometry before, it would be advisable to take Trigonometry 1 first.
  • Others express surprise that a student could register for Calculus 1 with only College Algebra, recommending Trigonometry and possibly precalculus as necessary foundations.
  • There are differing opinions on whether precalculus can substitute for trigonometry, with some arguing that a solid understanding of trigonometric identities is essential for success in calculus.
  • One participant notes that the naming of courses may vary by institution, with some schools integrating trigonometry into other classes, which could affect preparedness for calculus.
  • Another participant emphasizes the importance of understanding the unit circle and trigonometric identities for calculus, suggesting that these concepts are often assumed knowledge in calculus courses.
  • Some participants mention that personal experiences with precalculus and algebra influence their views on whether to take trigonometry or calculus first.
  • There is a suggestion to review course syllabi or consult instructors to make a more informed decision based on individual interests and career goals.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether to take Trigonometry 1 or Calculus 1 first, as multiple competing views exist regarding the necessity of trigonometry based on individual backgrounds and course structures.

Contextual Notes

Some participants highlight the importance of prior knowledge in geometry and precalculus, suggesting that the adequacy of these subjects may influence the decision on course selection. There is also mention of varying course structures across different institutions, which may affect the relevance of trigonometry to calculus.

Tyrion101
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If I understand my next possibilities in college, I think I can take either calculus 1 or trig 1, which do I take?
 
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Tyrion101 said:
If I understand my next possibilities in college, I think I can take either calculus 1 or trig 1, which do I take?

If you never took trig before, then trig.
 
Tyrion101 said:
If I understand my next possibilities in college

After what?
 
College algebra
 
Tyrion101 said:
College algebra

I'm surprised you are even able to register for calculus with just college algebra. Do trig first, and perhaps precalc before tackling calculus.
 
What should be after college algebra?
 
Tyrion101 said:
What should be after college algebra?

Trig!
 
Tyrion101 said:
What should be after college algebra?
definitely trig. there are so many identities in my calc book that are used, where they don't tell you that's what their doing. you would be so lost if you didnt know that they were replacing stuff with identities. and understanding the unit circle is always nice.
 
It varies some schools do all the trig stuff in a class with a different name such as algebra, geometry, or calculus. Some students know trig from hobbies.

can you prove
$$\frac{2\tan^2(x)+2\tan(x)\sec(x)}{\tan(x)+\sec(x)-1}=\tan(x)+\sec(x)+1$$
do you know what it means?
 
  • #10
I know that it's a function and have a vague idea of how to solve for x, but beyond that no.
 
  • #11
you probably need to take trig then, do you know what the law of sines is?
 
  • #12
Nope but it sounds familiar. My school has a class called algebra geometry trig 1. The same for calculus.
 
  • #13
I never took "trig". I took precalculus and college algebra in high school and started in calc 1. Whether or not you should take trig depends on what you covered in geometry and precalculus class. You should be fine taking precalc instead of trig in my opinion.
 
  • #14
jbrussell93 said:
I never took "trig". I took precalculus and college algebra in high school and started in calc 1. Whether or not you should take trig depends on what you covered in geometry and precalculus class. You should be fine taking precalc instead of trig in my opinion.
I agree, provided that the precalc class has a significant component on trig. If it doesn't, I would highly recommend taking trig, which gets used in most math classes at the calculus level and above.
 
  • #15
if they are offering trigonometry 1 or calculus 1, then I would guess that in reality, this is advanced trigonometry, and basic calculus. For example, I can't imagine someone learning about the differential equations for simple harmonic motion, before learning what is a sine function.

So anyway, my main point is that they have probably made the courses such that they are both around the same 'level', so it would hopefully not matter which you choose. And if this is the case, just choose the one you are interested in (or perhaps the most useful one to you, if you have a particular job in mind after college).

Having said all that, if you want to make sure, then you could look at the syllabus, or ask one of the teacher/professors? And briefly look up some of the stuff, to see which you would prefer to learn first.
 
  • #16
If you could not prove the trig Identity, then I would advise either precalculus or trig.
 

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