18.01 Single Variable Calculus, Fall 2003

Starr, Jason M.

Author(s)

Starr, Jason M.

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.

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

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

Collections

MIT OCW Archived Courses