18.03 Differential Equations, Spring 2004
Study of ordinary differential equations, including modeling of physical problems and interpretation of their solutions. Standard solution methods for single first-order equations, including graphical and numerical methods. Higher-order forced linear equations with constant coefficients. Complex num...
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| Language: | en-US |
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2004
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| Online Access: | http://hdl.handle.net/1721.1/34888 |
| _version_ | 1811069238060777472 |
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| author | Miller, Haynes R., 1948- Mattuck, Arthur |
| author_facet | Miller, Haynes R., 1948- Mattuck, Arthur |
| author_sort | Miller, Haynes R., 1948- |
| collection | MIT |
| description | Study of ordinary differential equations, including modeling of physical problems and interpretation of their solutions. Standard solution methods for single first-order equations, including graphical and numerical methods. Higher-order forced linear equations with constant coefficients. Complex numbers and exponentials. Matrix methods for first-order linear systems with constant coefficients. Non-linear autonomous systems; phase plane analysis. Fourier series; Laplace transforms. |
| first_indexed | 2024-09-23T08:07:55Z |
| id | mit-1721.1/34888 |
| institution | Massachusetts Institute of Technology |
| language | en-US |
| last_indexed | 2024-09-23T08:07:55Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/348882019-09-13T01:52:49Z 18.03 Differential Equations, Spring 2004 Differential Equations Miller, Haynes R., 1948- Mattuck, Arthur Ordinary Differential Equations ODE modeling physical systems first-order ODE's Linear ODE's second order ODE's Undetermined coefficients variation of parameters Sinusoidal signals exponential signals oscillations damping resonance Fourier series periodic solutions Delta functions convolution Laplace transform methods Matrix systems first order linear systems Non-linear autonomous systems critical point analysis phase plane diagrams constant coefficients complex numbers exponentials eigenvalues eigenvectors Study of ordinary differential equations, including modeling of physical problems and interpretation of their solutions. Standard solution methods for single first-order equations, including graphical and numerical methods. Higher-order forced linear equations with constant coefficients. Complex numbers and exponentials. Matrix methods for first-order linear systems with constant coefficients. Non-linear autonomous systems; phase plane analysis. Fourier series; Laplace transforms. 2004-06 18.03-Spring2004 local: 18.03 local: IMSCP-MD5-9ca77abee86dc4bbaef9e2d6b157eaa9 http://hdl.handle.net/1721.1/34888 en-US Usage Restrictions: This site (c) Massachusetts Institute of Technology 2003. 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"). 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. 15763 bytes 21400 bytes 19396 bytes 52967 bytes 26276 bytes 20464 bytes 24257 bytes 25098 bytes 16631 bytes 16938 bytes 17311 bytes 34298 bytes 17352 bytes 14476 bytes 4586 bytes 18637 bytes 11602 bytes 18220 bytes 4755 bytes 27322 bytes 25313 bytes 4039 bytes 301 bytes 354 bytes 339 bytes 180 bytes 285 bytes 67 bytes 17685 bytes 49 bytes 143 bytes 247 bytes 19283 bytes 262 bytes 46525 bytes 47228 bytes 135181 bytes 162401 bytes 246013 bytes 169217 bytes 120736 bytes 134311 bytes 69532 bytes 111301 bytes 134317 bytes 104910 bytes 97843 bytes 100001 bytes 129040 bytes 729323 bytes 216537 bytes 129271 bytes 161519 bytes 98039 bytes 112741 bytes 78643 bytes 64749 bytes 59304 bytes 494197 bytes 450184 bytes 264561 bytes 275606 bytes 268278 bytes 144332 bytes 108924 bytes 1344094 bytes 44327 bytes 97085 bytes 95494 bytes 126160 bytes 145907 bytes 104146 bytes 132698 bytes 136660 bytes 126396 bytes 106772 bytes 126634 bytes 89813 bytes 122704 bytes 99621 bytes 124650 bytes 107094 bytes 128147 bytes 118616 bytes 100237 bytes 130508 bytes 141366 bytes 128635 bytes 104414 bytes 214112 bytes 112476 bytes 309845 bytes 31455 bytes 27154 bytes 29199 bytes 19724 bytes 19939 bytes 21552 bytes 15796 bytes 17487 bytes 30602 bytes 21905 bytes 33523 bytes 16717 bytes 21943 bytes 26411 bytes 20259 bytes 27763 bytes 24382 bytes 21511 bytes 25001 bytes 25330 bytes 18034 bytes 25902 bytes 18316 bytes 20297 bytes 18637 bytes 24926 bytes 21387 bytes 24661 bytes 26550 bytes 20584 bytes 21303 bytes 23680 bytes 18491 bytes 24630 bytes 21109 bytes 21760 bytes 34641 bytes 46188 bytes 120113 bytes 59200 bytes 74372 bytes 38428 bytes 228242 bytes 59366 bytes 48365 bytes 63665 bytes 50974 bytes 90358 bytes 50516 bytes 63820 bytes 54938 bytes 68208 bytes 52304 bytes 93338 bytes 45517 bytes 219719 bytes 59431 bytes 118264 bytes 62549 bytes 96404 bytes 62220 bytes 90177 bytes 48970 bytes 121204 bytes 53426 bytes 86280 bytes 56437 bytes 98879 bytes 60830 bytes 87022 bytes 48092 bytes 106394 bytes 50150 bytes 89569 bytes 59475 bytes 100016 bytes 49082 bytes 101573 bytes 57239 bytes 146792 bytes 99243 bytes 164254 bytes 109647 bytes 117058 bytes 73936 bytes 77196 bytes 98848 bytes 104209 bytes 120852 bytes 145276 bytes 91846 bytes 88121 bytes 86632 bytes 60499 bytes 88041 bytes 319965 bytes 52806 bytes 42001 bytes 170581 bytes 63834 bytes 65641 bytes 120340 bytes 131403 bytes 83484 bytes 62264 bytes 68628 bytes 97454 bytes 97583 bytes 88648 bytes 82614 bytes 142127 bytes 194117 bytes 128900 bytes 19283 bytes 3486 bytes 811 bytes 813 bytes 830 bytes 452 bytes 2097 bytes 214688 bytes 8915 bytes 9472 bytes 9489 bytes 9568 bytes 9451 bytes 9469 bytes 9484 bytes 9537 bytes 9528 bytes 9520 bytes 9724 bytes 9211 bytes 9934 bytes 9581 bytes 9570 bytes 9725 bytes 9508 bytes 9414 bytes 9476 bytes 9523 bytes 9506 bytes 9028 bytes 9565 bytes 9493 bytes 9537 bytes 9569 bytes 9537 bytes 9537 bytes 9488 bytes 9589 bytes 9934 bytes 9493 bytes 9934 bytes 9724 bytes 9537 bytes 9495 bytes 9935 bytes 9584 bytes 9490 bytes 8970 bytes 9509 bytes 9457 bytes 9935 bytes 9493 bytes 9456 bytes 9934 bytes 9093 bytes 9537 bytes 9571 bytes 9537 bytes 9509 bytes 9473 bytes 9472 bytes 9475 bytes 9451 bytes 9933 bytes 9590 bytes 9493 bytes 9582 bytes 9577 bytes 9508 bytes 9484 bytes 9580 bytes 9575 bytes 9934 bytes 9537 bytes 9492 bytes 9490 bytes 9527 bytes 9454 bytes 9435 bytes 9577 bytes 9537 bytes 9473 bytes 9466 bytes 9250 bytes 9592 bytes 9487 bytes 9533 bytes 9510 bytes 9724 bytes 9724 bytes 9498 bytes 9472 bytes 9567 bytes 9490 bytes 9559 bytes 9471 bytes 9934 bytes 9582 bytes 9490 bytes 9577 bytes 9569 bytes 9481 bytes 9537 bytes 9935 bytes 9471 bytes 9498 bytes 9536 bytes 9587 bytes 9503 bytes 9535 bytes 9480 bytes 9504 bytes 9935 bytes 9495 bytes 9581 bytes 9517 bytes 9465 bytes 9536 bytes 9496 bytes 9458 bytes 9527 bytes 9513 bytes 9584 bytes 9521 bytes 9935 bytes 9535 bytes 9535 bytes 9481 bytes 9573 bytes 9462 bytes 8885 bytes 9504 bytes 8784 bytes 9536 bytes 9466 bytes 9466 bytes 9537 bytes 9536 bytes 9567 bytes 9840 bytes 9469 bytes 9531 bytes 9725 bytes 9525 bytes 9579 bytes 9455 bytes 8960 bytes 9613 bytes 9537 bytes 9511 bytes 9416 bytes 9472 bytes 8932 bytes 9933 bytes 9535 bytes 9934 bytes 9499 bytes 9935 bytes 9933 bytes 9934 bytes 9935 bytes 9537 bytes 9571 bytes 9592 bytes 9471 bytes 9537 bytes 9934 bytes 9537 bytes 9933 bytes 9505 bytes 9477 bytes 9500 bytes 9724 bytes 9482 bytes 9491 bytes 9480 bytes 9579 bytes 9065 bytes 9933 bytes 9507 bytes 9415 bytes 9456 bytes 9486 bytes 9494 bytes 9513 bytes 9724 bytes 9460 bytes 9488 bytes 9484 bytes 9044 bytes text/html Spring 2004 |
| spellingShingle | Ordinary Differential Equations ODE modeling physical systems first-order ODE's Linear ODE's second order ODE's Undetermined coefficients variation of parameters Sinusoidal signals exponential signals oscillations damping resonance Fourier series periodic solutions Delta functions convolution Laplace transform methods Matrix systems first order linear systems Non-linear autonomous systems critical point analysis phase plane diagrams constant coefficients complex numbers exponentials eigenvalues eigenvectors Miller, Haynes R., 1948- Mattuck, Arthur 18.03 Differential Equations, Spring 2004 |
| title | 18.03 Differential Equations, Spring 2004 |
| title_full | 18.03 Differential Equations, Spring 2004 |
| title_fullStr | 18.03 Differential Equations, Spring 2004 |
| title_full_unstemmed | 18.03 Differential Equations, Spring 2004 |
| title_short | 18.03 Differential Equations, Spring 2004 |
| title_sort | 18 03 differential equations spring 2004 |
| topic | Ordinary Differential Equations ODE modeling physical systems first-order ODE's Linear ODE's second order ODE's Undetermined coefficients variation of parameters Sinusoidal signals exponential signals oscillations damping resonance Fourier series periodic solutions Delta functions convolution Laplace transform methods Matrix systems first order linear systems Non-linear autonomous systems critical point analysis phase plane diagrams constant coefficients complex numbers exponentials eigenvalues eigenvectors |
| url | http://hdl.handle.net/1721.1/34888 |
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