## 18.01 Single Variable Calculus, Fall 2003

##### Author(s)

Starr, Jason M.
Download18-01Fall2003/OcwWeb/Mathematics/18-01Fall2003/CourseHome/index.htm (14.15Kb)

##### Alternative title

Single Variable Calculus

##### Metadata

Show full item record##### 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##### 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