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.
This class has no prerequisites.
18.01 will be offered this semester (Fall 2018). It is instructed by J. W. Bush.
Lecture occurs 1:00 PM to 2:00 PM on Tuesdays and Thursdays in 1-190.
This class counts for a total of 12 credits.
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