Calculus AB & CD: Coverage of Homework Equations

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High school Calculus AB, often referred to as AP Calculus AB, covers fundamental concepts of single-variable calculus, including limits, derivatives, optimization, Newton's method, linearization, related rates, integration (including integration by parts), volumes of rotated shapes, and some differential equations. In contrast, Calculus BC expands on these topics by incorporating infinite series, polar and spherical coordinates, and potentially some vector calculus, effectively making BC a superset of AB. Some high schools also offer a course informally referred to as Calculus CD, which typically covers multivariable calculus, although it is not an official AP class. The distinction between AB and BC is significant, as AB represents only the initial segment of single-variable calculus, while BC encompasses the entire single-variable curriculum and additional advanced topics.
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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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