Single-variable calculus - Revision history

Vipul at 00:59, 14 February 2014

2014-02-14T00:59:38Z

← Older revision		Revision as of 00:59, 14 February 2014
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	==Learning calculus==		==Learning calculus==

			===Typical learning trajectories===

			{{further\|[[High school mathematics course structure]], [[Lower division undergraduate mathematics course structure]]}}

			We recommend learning calculus in high school, taking Advanced Placement BC Calculus if possible, and then starting with the appropriate calculus placement in college based on placement tests and information about optimal starting points.

			===Recommendations===

	See our [[single-variable calculus learning recommendations]] for recommendations on learning calculus.		See our [[single-variable calculus learning recommendations]] for recommendations on learning calculus.

Vipul at 00:57, 14 February 2014

2014-02-14T00:57:25Z

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 '''Single-variable calculus''', also called '''calculus of one variable''' or '''calculus''', is a topic within mathematics that has wide applications both within and outside mathematics. It builds on knowledge of algebra, trigonometry, and functions (sometimes collectively called ''precalculus''). The material is typically covered in either late high school or early college. Typical follow-up courses to single-variable calculus are [[multivariable calculus]] and [[linear algebra]].
 ==Components==
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 The following are the major components of single-variable calculus:
-* Limits: Conceptual (typically covered only at college level) and computational
+{| class="sortable" border="1"
-* Differential calculus: Conceptual and computation
+! Component !! Part covered in AP AB Calculus !! Part covered in AP BC Calculus that is ''not'' covered in AB Calculus !! Part covered in a comprehensive college calculus course not covered in BC Calculus
-* Integral calculus
+|-
-* Differential equations (a very preliminary peek)
+| Limits || Basic conceptual definition and computational techniques for limits of functions || L'Hopital's rule || Limits and convergence of sequences, formal definition of limit (<math>\varepsilon-\delta</math>)
-* Sequences and series, including Taylor series and power series: These topics are typically covered as part of a calculus course even though they are somewhat removed from the themes of differentiation and integration.
+|-
 ==Learning calculus==
 See our [[single-variable calculus learning recommendations]] for recommendations on learning calculus.

Vipul: /* Components */

2014-02-04T02:20:55Z

Components

← Older revision		Revision as of 02:20, 4 February 2014
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	* Differential calculus: Conceptual and computation		* Differential calculus: Conceptual and computation
	* Integral calculus		* Integral calculus
			* Differential equations (a very preliminary peek)
	* Sequences and series, including Taylor series and power series: These topics are typically covered as part of a calculus course even though they are somewhat removed from the themes of differentiation and integration.		* Sequences and series, including Taylor series and power series: These topics are typically covered as part of a calculus course even though they are somewhat removed from the themes of differentiation and integration.

Vipul: Created page with "'''Single-variable calculus''', also called '''calculus of one variable''' or '''calculus''', is a topic within mathematics that has wide applications both within and outside ..."

2014-02-04T02:18:38Z

Created page with "'''Single-variable calculus''', also called '''calculus of one variable''' or '''calculus''', is a topic within mathematics that has wide applications both within and outside ..."

New page

'''Single-variable calculus''', also called '''calculus of one variable''' or '''calculus''', is a topic within mathematics that has wide applications both within and outside mathematics. It builds on knowledge of algebra, trigonometry, and functions (sometimes collectively called ''precalculus''). The material is typically covered in either late high school or early college. Typical follow-up courses to single-variable calculus are [[multivariable calculus]] and [[linear algebra]].

==Components==

The following are the major components of single-variable calculus:

* Limits: Conceptual (typically covered only at college level) and computational
* Differential calculus: Conceptual and computation
* Integral calculus
* Sequences and series, including Taylor series and power series: These topics are typically covered as part of a calculus course even though they are somewhat removed from the themes of differentiation and integration.

==Learning calculus==

See our [[single-variable calculus learning recommendations]] for recommendations on learning calculus.