18.022 Calculus, Fall 2005
| dc.contributor.author | Rogers, Hartley | en_US |
| dc.coverage.temporal | Fall 2005 | en_US |
| dc.date.issued | 2005-12 | |
| dc.identifier | 18.022-Fall2005 | |
| dc.identifier | local: 18.022 | |
| dc.identifier | local: IMSCP-MD5-bbcfc42139135e577586e9f6c35ec26c | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/74133 | |
| dc.description.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. | en_US |
| dc.language | en-US | en_US |
| dc.rights.uri | Usage Restrictions: This site (c) Massachusetts Institute of Technology 2012. 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") unless otherwise noted. 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. | en_US |
| dc.subject | vector algebra | en_US |
| dc.subject | determinant | en_US |
| dc.subject | matrix | en_US |
| dc.subject | matrices | en_US |
| dc.subject | vector-valued | en_US |
| dc.subject | functions | en_US |
| dc.subject | space motion | en_US |
| dc.subject | scalar functions | en_US |
| dc.subject | partial differentiation | en_US |
| dc.subject | gradient | en_US |
| dc.subject | optimization techniques | en_US |
| dc.subject | double integrals | en_US |
| dc.subject | line integrals | en_US |
| dc.subject | exact differentials | en_US |
| dc.subject | conservative fields | en_US |
| dc.subject | Green's theorem | en_US |
| dc.subject | triple integrals | en_US |
| dc.subject | surface integrals | en_US |
| dc.subject | divergence theorem | en_US |
| dc.subject | Stokes' theorem | en_US |
| dc.subject | geometry | en_US |
| dc.subject | vector fields | en_US |
| dc.subject | linear algebra | en_US |
| dc.title | 18.022 Calculus, Fall 2005 | en_US |
| dc.title.alternative | Calculus | en_US |
| dc.type | Learning Object | |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics |