Calculus AB & CD: Coverage of Homework Equations

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Discussion Overview

The discussion centers around the content coverage of high school Calculus AB and the existence of a Calculus CD course, which some participants describe as multivariable calculus. The scope includes comparisons between AP Calculus AB and BC, as well as informal descriptions of course content.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants assert that Calculus AB refers to AP Calculus AB, while others mention that there is no official "Calculus CD" recognized in the AP curriculum.
  • One participant outlines that Calculus AB covers limits, derivatives, optimization, Newton's method, linearization, related rates, integration by parts, volumes of rotated shapes, and some differential equations.
  • Another participant states that Calculus BC includes all topics from Calculus AB plus infinite series, polar coordinates, spherical coordinates, and possibly some vector calculus.
  • A participant shares their experience of a Calculus CD course at their high school, describing it as multivariable calculus, which was not an AP class and had very few students.
  • There is a discussion about the meanings of the letters A, B, C, and the conjectured D in relation to calculus topics, with A referring to precalculus concepts, B to differential and integral calculus, C to sequences and series, and D speculated to cover multivariable calculus.

Areas of Agreement / Disagreement

Participants express disagreement regarding the existence of a Calculus CD course, with some affirming its existence in specific high schools while others state it is not officially recognized. There is no consensus on the exact content distinctions between Calculus AB and BC, as various interpretations are presented.

Contextual Notes

Some statements rely on personal experiences and may not reflect a standardized curriculum across all high schools. The definitions and content of courses may vary significantly by institution.

chill
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Homework Statement



I would like to know what high school Calculus AB covers and what Calculus CD covers.

Homework Equations





The Attempt at a Solution

 
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No such thing as "Calculus CD". If by Calculus AB you mean AP Calculus AB, a simple google search will yield you what it covers and more.
 
Right. There is Calculus AB and Calculus BC.

From what I recall from a few years ago:

AB covers from Limits, Derivatives, Optimization, Newton's Method, Linearization, Related Rates, Integration + By parts, Volumes of Rotated Shapes, some Differential Equations

BC covers that plus Infinite Series, Polar Coordinates, Spherical Coordinates, some Vectors perhaps. I'm sure there's more

Let's get mathy: AB is a subset of BC. BC is a superset of AB... if I were you just get it over with and study all of BC
 
Calculus BC covers all of single variable calculus while Calculus AB only covers the first part of single variable Calculus.
 
actually my high school did have a calculus CD along with AP calculus AB and BC
CD was just multivariable calculus at my school, my calculus teacher started it for those who didnt want to stop at the BC level, but it wasnt an AP class and it usually only had like 3-5 kids in it every year haha
 
Leptos said:
Calculus BC covers all of single variable calculus while Calculus AB only covers the first part of single variable Calculus.
miglo said:
actually my high school did have a calculus CD along with AP calculus AB and BC
CD was just multivariable calculus at my school, my calculus teacher started it for those who didnt want to stop at the BC level, but it wasnt an AP class and it usually only had like 3-5 kids in it every year haha
I forgot where I read this (maybe here?), but the letters AB or BC refer to the following:

A topics refer to concepts in Precalculus
B topics refer to differential and integral calculus
C topics include sequences & series, an intro to differential equations, and some analytic geometry (polar coordinates, parametric equations, vectors)
D topics would have covered multivariable calculus. (Of course there is no "D", but it was conjectured that "D" would have been used if AP were to include multivariable calculus topics. Some high schools would offer a multivariable calculus course and call it "AP Calculus CD" or "AP Calculus D," like miglo's school.)69
 

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