**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 | -- | -- |

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