This wiki is associated with Cognito Mentoring, an advising service for learners run by Jonah Sinick and Vipul Naik. The wiki is very much in beta, so you're likely to find many broken links and incomplete pages. Please be patient with us as we continue to improve our offerings.
Please connect with us to offer feedback on the wiki content.
Lower division undergraduate mathematics
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||--||--|