Lower division undergraduate mathematics: Difference between revisions

Revision as of 19:21, 13 February 2014

Lower division undergraduate mathematics includes courses that are considered general requirements or non-major specific courses. They are taken by students who do not intend to major in mathematics, although there may be a slightly different version of the course tailored at mathematics majors. This is in contrast with upper division undergraduate mathematics, typically taken by and targeted at mathematics majors.

Subject	Brief description	Benefits	Learning recommendations
Single-variable calculus	Limits, differentiation, integration, sequences and series (including Taylor series and power series), some ordinary differential equations. College calculus is more focused on proofs and concepts than high school calculus (such as AP Calculus).	single-variable calculus learning benefits	single-variable calculus learning recommendations
Multivariable calculus	Functions of multiple variables, partial derivatives, iterated integration, parametric and polar coordinates, and other topics.	multivariable calculus learning benefits	multivariable calculus learning recommendations
Linear algebra		linear algebra learning benefits	linear algebra learning recommendations
Ordinary differential equations		--	--

@@ Line 4: / Line 4: @@
 ! Subject !! Brief description !! Benefits !! Learning recommendations
 |-
-| [[single-variable calculus]] || Limits, differentiation, integration, sequences and series (including Taylor series and power series), some ordinary differential equations. College calculus is more focused on proofs and concepts than high school calculus (such as AP Calculus). || [[single-variable calculus learning benefits]] || [[single-variable calculus learning recommendations]]
+| [[Single-variable calculus]] || Limits, differentiation, integration, sequences and series (including Taylor series and power series), some ordinary differential equations. College calculus is more focused on proofs and concepts than high school calculus (such as AP Calculus). || [[single-variable calculus learning benefits]] || [[single-variable calculus learning recommendations]]
 |-
-| [[multivariable calculus]] || Functions of multiple variables, partial derivatives, iterated integration, parametric and polar coordinates, and other topics. || [[multivariable calculus learning benefits]] || [[multivariable calculus learning recommendations]]
+| [[Multivariable calculus]] || Functions of multiple variables, partial derivatives, iterated integration, parametric and polar coordinates, and other topics. || [[multivariable calculus learning benefits]] || [[multivariable calculus learning recommendations]]
 |-
-| [[linear algebra]] || || [[linear algebra learning benefits]] || [[linear algebra learning recommendations]]
+| [[Linear algebra]] || || [[linear algebra learning benefits]] || [[linear algebra learning recommendations]]
 |-
-| [[ordinary differential equations]] || || -- || --
+| Ordinary differential equations || || -- || --
 |}