18.100A Analysis I, Fall 2007
Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some point-set topology...
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| Format: | Learning Object |
| Language: | en-US |
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2007
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| Online Access: | http://hdl.handle.net/1721.1/76713 |
| _version_ | 1826198059626790912 |
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| author | Mattuck, Arthur |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Mattuck, Arthur |
| author_sort | Mattuck, Arthur |
| collection | MIT |
| description | Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some point-set topology, including some work in Euclidean n-space. MIT students may choose to take one of three versions of 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginning on point-set topology and n-space, whereas Option A is concerned primarily with analysis on the real line, saving for the last weeks work in 2-space (the plane) and its point-set topology. Option C (18.100C) is a 15-unit variant of Option B, with further instruction and practice in written and oral communication. |
| first_indexed | 2024-09-23T10:58:13Z |
| format | Learning Object |
| id | mit-1721.1/76713 |
| institution | Massachusetts Institute of Technology |
| language | en-US |
| last_indexed | 2025-03-10T09:16:26Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | mit-1721.1/767132025-02-24T14:57:44Z 18.100A Analysis I, Fall 2007 Analysis I Mattuck, Arthur Massachusetts Institute of Technology. Department of Mathematics Massachusetts Institute of Technology. Department of Nuclear Science and Engineering mathematical analysis convergence of sequences convergence of series continuity differentiability Riemann integral sequences and series of functions uniformity interchange of limit operations utility of abstract concepts construction of proofs point-set topology n-space Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some point-set topology, including some work in Euclidean n-space. MIT students may choose to take one of three versions of 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginning on point-set topology and n-space, whereas Option A is concerned primarily with analysis on the real line, saving for the last weeks work in 2-space (the plane) and its point-set topology. Option C (18.100C) is a 15-unit variant of Option B, with further instruction and practice in written and oral communication. 2007-12 Learning Object 18.100A-Fall2007 local: 18.100A local: IMSCP-MD5-21752ff48df1a83658d331a6a7151b3c http://hdl.handle.net/1721.1/76713 en-US Usage Restrictions: This site (c) Massachusetts Institute of Technology 2013. 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. text/html Fall 2007 |
| spellingShingle | mathematical analysis convergence of sequences convergence of series continuity differentiability Riemann integral sequences and series of functions uniformity interchange of limit operations utility of abstract concepts construction of proofs point-set topology n-space Mattuck, Arthur 18.100A Analysis I, Fall 2007 |
| title | 18.100A Analysis I, Fall 2007 |
| title_full | 18.100A Analysis I, Fall 2007 |
| title_fullStr | 18.100A Analysis I, Fall 2007 |
| title_full_unstemmed | 18.100A Analysis I, Fall 2007 |
| title_short | 18.100A Analysis I, Fall 2007 |
| title_sort | 18 100a analysis i fall 2007 |
| topic | mathematical analysis convergence of sequences convergence of series continuity differentiability Riemann integral sequences and series of functions uniformity interchange of limit operations utility of abstract concepts construction of proofs point-set topology n-space |
| url | http://hdl.handle.net/1721.1/76713 |
| work_keys_str_mv | AT mattuckarthur 18100aanalysisifall2007 AT mattuckarthur analysisi |