18.022 Calculus, Fall 2005

Rogers, Hartley

Author(s)

Rogers, Hartley

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Alternative title

Calculus

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Abstract

This is an undergraduate course on calculus of several variables. It covers all of the topics covered in Calculus II (18.02), but presents them in greater depth. These topics are vector algebra in 3-space, determinants, matrices, vector-valued functions of one variable, space motion, scalar functions of several variables, partial differentiation, gradient, optimization techniques, double integrals, line integrals in the plane, exact differentials, conservative fields, Green's theorem, triple integrals, line and surface integrals in space, the divergence theorem, and Stokes' theorem. Additional topics covered in 18.022 are geometry, vector fields, and linear algebra.

Date issued

2005-12

URI

http://hdl.handle.net/1721.1/74133

Department

Massachusetts Institute of Technology. Department of Mathematics

Other identifiers

18.022-Fall2005

local: 18.022

local: IMSCP-MD5-bbcfc42139135e577586e9f6c35ec26c

Keywords

vector algebra, determinant, matrix, matrices, vector-valued, functions, space motion, scalar functions, partial differentiation, gradient, optimization techniques, double integrals, line integrals, exact differentials, conservative fields, Green's theorem, triple integrals, surface integrals, divergence theorem, Stokes' theorem, geometry, vector fields, linear algebra

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