# 18.01 Calculus

**Catalog description:**

Differentiation and integration of functions of one variable, with applications. Informal treatment of limits and continuity. Differentiation: definition, rules, application to graphing, rates, approximations, and extremum problems. Indefinite integration; separable first-order differential equations. Definite integral; fundamental theorem of calculus. Applications of integration to geometry and science. Elementary functions. Techniques of integration. Polar coordinates. L’Hopital’s rule. Improper integrals. Infinite series: geometric, p-harmonic, simple comparison tests, power series for some elementary functions.

Also see the math department’s subject overview for courses on calculus.

### Resources:

- Fall 2010 OCW (homework, solutions, exams, recitation videos)
- Fall 2006 OCW (homework, exams, lecture notes, lecture videos)
- MITx online version part 1, part 2, part 3
- Fall 2011 - Fall 2018 Concourse version of 18.01A (supplementary notes)
- Crowdsourced student work