18.01 Single Variable Calculus, Fall 2003
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18-01Fall2003/OcwWeb/Mathematics/18-01Fall2003/CourseHome/index.htm
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Checksum (MD5)
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Author(s)
Starr, Jason M.
Alternative Title
Single Variable Calculus
Date Issued
December 2003
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.
Subjects
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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