18.024 Calculus with Theory II, Spring 2003
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 varia...
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| Format: | Learning Object |
| Language: | en-US |
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2003
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| Online Access: | http://hdl.handle.net/1721.1/74132 |
| _version_ | 1826202760059551744 |
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| author | Munkres, James Lachowska, Anna |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Munkres, James Lachowska, Anna |
| author_sort | Munkres, James |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T12:17:44Z |
| format | Learning Object |
| id | mit-1721.1/74132 |
| institution | Massachusetts Institute of Technology |
| language | en-US |
| last_indexed | 2025-03-10T10:31:08Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | mit-1721.1/741322025-02-24T15:02:11Z 18.024 Calculus with Theory II, Spring 2003 Calculus with Theory II Munkres, James Lachowska, Anna Massachusetts Institute of Technology. Department of Mathematics linear algebra vector integral calculus 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 Calculus 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. 2003-06 Learning Object 18.024-Spring2003 local: 18.024 local: IMSCP-MD5-2fc878546eee25036f80230c77ade59d http://hdl.handle.net/1721.1/74132 en-US 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. text/html Spring 2003 |
| spellingShingle | linear algebra vector integral calculus 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 Calculus Munkres, James Lachowska, Anna 18.024 Calculus with Theory II, Spring 2003 |
| title | 18.024 Calculus with Theory II, Spring 2003 |
| title_full | 18.024 Calculus with Theory II, Spring 2003 |
| title_fullStr | 18.024 Calculus with Theory II, Spring 2003 |
| title_full_unstemmed | 18.024 Calculus with Theory II, Spring 2003 |
| title_short | 18.024 Calculus with Theory II, Spring 2003 |
| title_sort | 18 024 calculus with theory ii spring 2003 |
| topic | linear algebra vector integral calculus 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 Calculus |
| url | http://hdl.handle.net/1721.1/74132 |
| work_keys_str_mv | AT munkresjames 18024calculuswiththeoryiispring2003 AT lachowskaanna 18024calculuswiththeoryiispring2003 AT munkresjames calculuswiththeoryii AT lachowskaanna calculuswiththeoryii |