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18.01 Calculus
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Undergrad (Fall, Spring) Calculus I
Prereq: None
Units: 5-0-7
Credit cannot also be received for 18.01A, CC.1801, ES.1801, ES.181A
Lecture: TR11,F2 (2-135) Recitation: MW10 (2-135) +final
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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: P. Seidel
Spring: T. Rud
No required or recommended textbooks