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Mathematics (Course 18) < MIT

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Prereq: None U (Fall, Spring) 5-0-7 units. CALC I Credit cannot also be received for 18.01A, CC.1801, ES.1801, ES.181A 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 Prereq: Knowledge of differentiation and elementary integration U (Fall; first half of term) 5-0-7 units. CALC I Credit cannot also be received for 18.01, CC.1801, ES.1801, ES.181A Six-week review of one-varia

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