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18.01 Single Variable Calculus, Fall 2003

Author(s)
Starr, Jason M.
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Download18-01Fall2003/OcwWeb/Mathematics/18-01Fall2003/CourseHome/index.htm (14.15Kb)
Alternative title
Single Variable Calculus
Terms of use
Usage Restrictions: This site (c) Massachusetts Institute of Technology 2003. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license"). The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions.
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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.
Date issued
2003-12
URI
http://hdl.handle.net/1721.1/34901
Department
Massachusetts Institute of Technology. Department of Mathematics
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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