| dc.contributor.author | Munkres, James | en_US |
| dc.contributor.author | Lachowska, Anna | en_US |
| dc.coverage.temporal | Spring 2003 | en_US |
| dc.date.issued | 2003-06 | |
| dc.identifier | 18.024-Spring2003 | |
| dc.identifier | local: 18.024 | |
| dc.identifier | local: IMSCP-MD5-2fc878546eee25036f80230c77ade59d | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/74132 | |
| dc.description.abstract | This course is a continuation of 18.014. It covers the same material as 18.02 (Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is considerable emphasis on linear algebra and vector integral calculus.Topics include: Calculus of several variables. 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 and line integrals in the plane; exact differentials and conservative fields; Green's theorem and applications, triple integrals, line and surface integrals in space, Divergence theorem, Stokes' theorem; applications. Dr. Lachowska wishes to acknowledge Andrew Brooke-Taylor and Alex Retakh for their help with this course web site. | 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 | linear algebra | en_US |
| dc.subject | vector integral calculus | en_US |
| dc.subject | Calculus of several variables | en_US |
| dc.subject | Vector algebra in 3-space | en_US |
| dc.subject | determinants | en_US |
| dc.subject | matrices | en_US |
| dc.subject | Vector-valued functions of one variable | en_US |
| dc.subject | space motion | en_US |
| dc.subject | Scalar functions of several variables: partial differentiation | en_US |
| dc.subject | gradient | en_US |
| dc.subject | optimization techniques | en_US |
| dc.subject | Double integrals and line integrals in the plane | en_US |
| dc.subject | exact differentials and conservative fields | en_US |
| dc.subject | Green's theorem and applications | en_US |
| dc.subject | triple integrals | en_US |
| dc.subject | line and surface integrals in space | en_US |
| dc.subject | Divergence theorem | en_US |
| dc.subject | Stokes' theorem | en_US |
| dc.subject | applications | en_US |
| dc.subject | Calculus | en_US |
| dc.title | 18.024 Calculus with Theory II, Spring 2003 | en_US |
| dc.title.alternative | Calculus with Theory II | en_US |
