Answering Questions about Precalculus & Trig

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    Precalculus Trig
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Discussion Overview

The discussion revolves around the content and structure of precalculus courses, particularly in relation to College Algebra and the inclusion or exclusion of trigonometry. Participants explore how these courses may differ based on implementation and educational context.

Discussion Character

  • Debate/contested

Main Points Raised

  • Some participants suggest that precalculus can be viewed as precalculus minus trigonometry.
  • Others argue that the content of College Algebra courses may resemble high school Algebra 2 more than high school Pre-Calculus minus trigonometry, highlighting differences in topics covered.
  • One participant notes that College Algebra often includes more complex numbers, matrices, and systems of equations, while Pre-Calculus may focus more on trigonometry, exponentials, logarithms, and limits.
  • A participant reflects on their past experience with precalculus, indicating that their course included a comprehensive range of topics but may have skimped on certain areas like linear algebra and the Binomial Theorem.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the exact nature of precalculus courses, indicating that multiple competing views remain regarding the content and structure of these courses.

Contextual Notes

Limitations in the discussion include a reliance on personal experiences and course descriptions, which may not reflect current standards or practices in all educational institutions.

Orson
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Is this precalculus minus trig?
 
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Orson said:
Is this precalculus minus trig?
Yes.
 
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This can vary by implementation. In College Algebra courses I have seen, they tend to be closer to a high school Algebra 2 than high school Pre-Calc minus trig. The big differences are: inclusion of more complex numbers, more on matrices and systems of equations (3x3's), and more on the fundamental theorem of algrbra and polynomials. In contrast, most Pre-Calc courses have less of those things to make room not only for trig, but for exponentials, logs, and limits.
 
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Dr. Courtney said:
This can vary buy implementation. In College Algebra courses I have seen, they tend to be closer to a high school Algebra 2 than high school Pre-Calc minus trig. The big differences are: inclusion of more complex numbers, more on matrices and systems of equations (3x3's), and more on the fundamental theorem of algrbra and polynomials. In contrast, most Pre-Calc courses have less of those things to make room not only for trig, but for exponentials, logs, and limits.
Maybe things have changed. All I have to refer to is my own having had studied course many years ago (Pre-Calculus = College Algebra + Trigonometry = Elementary Functions), course descriptions in the college catalogs, some reference textbooks that I've picked up over the years. I studied the full deal, and it was tough going. The course skimped on a few things about linear algebra and a bit on Binomial Theorem but had everything else.
 

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