Answering Questions about Precalculus & Trig

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    Precalculus Trig
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SUMMARY

The discussion clarifies that College Algebra often serves as a precursor to Precalculus, typically excluding trigonometry. Key differences include a greater focus on complex numbers, matrices, systems of equations (3x3), and the fundamental theorem of algebra, compared to Precalculus, which incorporates trigonometric functions, exponentials, logarithms, and limits. The conversation emphasizes that course content may vary by institution, but the foundational elements remain consistent across implementations.

PREREQUISITES
  • Understanding of complex numbers
  • Familiarity with matrices and systems of equations
  • Knowledge of the fundamental theorem of algebra
  • Basic concepts of trigonometry and logarithmic functions
NEXT STEPS
  • Research the differences between College Algebra and Precalculus curricula
  • Study complex numbers and their applications in algebra
  • Learn about matrices and solving systems of equations
  • Explore the fundamental theorem of algebra and its implications
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Students transitioning from high school mathematics to college-level courses, educators designing curriculum, and anyone seeking to understand the foundational differences between College Algebra and Precalculus.

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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