| dc.contributor.author | Munkres, James | en_US |
| dc.contributor.author | Lachowska, Anna | en_US |
| dc.coverage.temporal | Fall 2002 | en_US |
| dc.date.issued | 2002-12 | |
| dc.identifier | 18.014-Fall2002 | |
| dc.identifier | local: 18.014 | |
| dc.identifier | local: IMSCP-MD5-becc0d3b144d63402822dc4cafaa40fa | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/74131 | |
| dc.description.abstract | 18.014, Calculus with Theory, covers the same material as 18.01 (Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary calculus. Topics: Axioms for the real numbers; the Riemann integral; limits, theorems on continuous functions; derivatives of functions of one variable; the fundamental theorems of calculus; Taylor's theorem; infinite series, power series, rigorous treatment of the elementary functions. Dr. Lachowska wishes to acknowledge Andrew Brooke-Taylor, Natasha Bershadsky, 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 | axioms for the real numbers | en_US |
| dc.subject | the Riemann integral | en_US |
| dc.subject | limits | en_US |
| dc.subject | theorems on continuous functions | en_US |
| dc.subject | derivatives of functions of one variablethe fundamental theorems of calculus | en_US |
| dc.subject | Taylor's theorem | en_US |
| dc.subject | infinite series | en_US |
| dc.subject | power series | en_US |
| dc.subject | rigorous treatment of the elementary functions | en_US |
| dc.subject | Calculus | en_US |
| dc.title | 18.014 Calculus with Theory I, Fall 2002 | en_US |
| dc.title.alternative | Calculus with Theory I | en_US |
