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18.01 Single Variable Calculus, Fall 2003

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18.01 Single Variable Calculus, Fall 2003

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Alternative Title: Single Variable Calculus
Author: Starr, Jason M.
Date Issued: 2003-12
Abstract:
DIFFERENTIATION AND INTEGRATION OF FUNCTIONS OF ONE VARIABLE, WITH APPLICATIONS. CONCEPTS OF FUNCTION, LIMITS, AND CONTINUITY. DIFFERENTIATION RULES, APPLICATION TO GRAPHING, RATES, APPROXIMATIONS, AND EXTREMUM PROBLEMS. DEFINITE AND INDEFINITE INTEGRATION. FUNDAMENTAL THEOREM OF CALCULUS. APPLICATIONS OF INTEGRATION TO GEOMETRY AND SCIENCE. ELEMENTARY FUNCTIONS. TECHNIQUES OF INTEGRATION. APPROXIMATION OF DEFINITE INTEGRALS, IMPROPER INTEGRALS, AND L'HÔPITAL'S RULE.
URI: http://hdl.handle.net/1721.1/34901
Other Identifiers: 18.01-Fall2003
local: 18.01
local: IMSCP-MD5-4f54fff0e7ebe926b38172753790c7c3
Keywords: limits, continuity, differentiation rules, extremum problems, fundamental theorem of calculus, techniques of integration, improper integrals, l'Hôpital's rule, single variable calculus, mathematical applications, function, graphing, rates, approximations, definite integration, indefinite integration, geometry, science, elementary functions, definite integrals, Calculus

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