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 2019). It is instructed by W. Minicozzi.
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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