Pre-Calculus online class question

  • Context: High School 
  • Thread starter Thread starter Engnr
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    Class Pre-calculus
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Discussion Overview

The discussion revolves around the adequacy of self-study resources for pre-calculus in preparation for a subsequent calculus course. Participants evaluate the content of a specific online course and its alignment with typical pre-calculus curriculum requirements.

Discussion Character

  • Exploratory, Conceptual clarification, Homework-related

Main Points Raised

  • One participant shares a link to an online course and requests feedback on whether it covers the necessary material for pre-calculus.
  • Another participant suggests that the original poster summarize the course notes to facilitate discussion.
  • A detailed breakdown of topics covered in the course notes is provided, including functions, polynomials, exponential and logarithmic functions, and trigonometry.
  • One participant comments that the material appears standard and indicates that mastering it should prepare the original poster for calculus.
  • The original poster expresses gratitude for the feedback and acknowledges a concern about the length of their initial post.

Areas of Agreement / Disagreement

Participants generally agree that the material presented in the course notes is standard for pre-calculus and that mastering it would likely prepare the original poster for calculus. However, there is no explicit consensus on the sufficiency of the resources without further evaluation.

Contextual Notes

The discussion does not address specific assumptions about the original poster's prior knowledge or the depth of understanding required for calculus. There are no unresolved mathematical steps noted.

Who May Find This Useful

Students preparing for calculus who are considering self-study options for pre-calculus may find this discussion relevant.

Engnr
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Hey guys, I'm trying to avoid taking a pre-calculus class so i can take Calculus in the spring.
I found resources from OCW which I'm going to use in order to learn on my own in the Fall so I'll be prepared in the spring for Calculus. Can somebody please take 10-15 minutes to look over this link and let me know if this covers what the 'normal' Pre-Calc class would cover to prepare me for Calc 1? Thanks a lot!

http://ocw.capilanou.ca/mathematics-statistics/precalculus-mathematics/course-notes
 
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How about this? Why don't you take 10-15 minutes and post a summary of what's in the course notes?
 
Chapter 2. Functions
• domain, range, expression, table, graph, difference quotient
• graphs (x, f(x)), vertical line test, piecewise, absolute value, greatest
integer, equations, calculator, label axes, window
• intervals of increase, decrease, local maximum, local minimum, average
rate of change
• transformations of functions, vertical shifts, horizontal shifts, reflections,
vertical and horizontal stretching and shrinking, even and odd functions
• extreme values, quadratic, standard form, completing the square,
maximum, minimum values analytically and graphically
• modeling, domains, ranges, pictures, functions
• combining functions, function composition
• inverse functions, one-to-one, horizontal line test, finding inverse
functions, graphing inverse, domains and ranges
Chapter 3. Polynomials
• polynomial functions, end behaviour, zeros, graphs, local extrema, graphs
and expressions
• long division of polynomials, remainder theorem, factor theorem
• applications
• rational functions, horizontal and vertical asymptotes, graphs, limits,
graphs
Chapter 4. Exponential and logarithmic functions
• definitions, graphs, natural exponential and natural log, compound
interest, evaluation analytically and by calculator, properties, common log,
modeling
• laws of logs, expansion, contraction, change of base
• equations, solving
• modeling
Chapter 5,6,7. Trigonometry
• angles, radians, degrees, standard position, arc length, sector area, right
angle trigonometry, 2 special triangles, applications, trigonometric
functions of angles, SOHCAHTOA, signs of functions, ASTC, reference
angles, standard position, identities, Pythagorus, similar triangles
• unit circle, reference number, trigonometric functions of real numbers,
even and odd trig functions, graphs, periods, transformations
• inverse trigonometric functions, domains and ranges, evaluation,
applications
• trigonometric equations, solutions, algebraic, quadratic, identity use

Thanks Mark.
 
Looks pretty standard. If you are able to master this stuff on your own, you will be in good shape for Calculus.
 
Excellent! Thank you Mark, sorry for being so 'lazy' in the original post. I thought it would be a bit of a 'spam' session if I posted all of that in the original post lol. Thanks again!
 

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