MIT Subject Listing & Schedule
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18.01 Calculus

(, )
Prereq: None
Units: 5-0-7
Credit cannot also be received for ES.1801, ES.181A
Lecture: TR1,F2 (1-190) Recitation: MW10 (2-139) or MW11 (2-139) or MW12 (2-136) or MW1 (2-136, 66-154) or MW2 (66-154) +final

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.
Fall: L. Guth
Spring: information: W. Minicozzi
No textbook information available