18.022 Calculus, Fall 2005
Name
18-022-fall-2005/contents/index.htm
Size
15.89 KB
Format
HTML
Checksum (MD5)
8125a83e4d77d1c18f57d963dab6b03b
Author(s)
Rogers, Hartley
Alternative Title
Calculus
Date Issued
December 2005
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.
Subjects
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Persistent DSpace Link
