Lower division undergraduate mathematics: Difference between revisions
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'''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. | '''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. | ||
{| class="sortable" border="1" | {| class="sortable" border="1" | ||
! Subject !! Brief description !! Benefits !! Learning recommendations | ! 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 || || -- || -- | ||
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* [[Lower division undergraduate mathematics course structure]] | * [[Lower division undergraduate mathematics course structure]] | ||
* [[Lower division undergraduate mathematics learning recommendations]] | |||
Latest revision as of 04:10, 28 April 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 | -- | -- |
See also: