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PHYS-4330: Theoretical Mechanics
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<meta property="og:description" content="Particle and rigid body dynamics using Newtonian, Lagrangian, and Hamiltonian methods. Motion of particle systems. Central force motion. Rotating coordinate systems. Rigid body motion using the inertia tensor and Euler angles. Coupled systems and normal coordinates. Introduction to continuum mechanics and the mechanics of deformable media. Introduction to Hamiltonian Mechanics, including proof and applications of Liouville’s Theorem. Formalism of Special Relativity. Introduction to nonlinear dynamics and chaotic behavior.">
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<h1 id="name">
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Theoretical Mechanics
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</h1>
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<h2 id="code">
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PHYS-4330
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</h2>
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<p>
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Particle and rigid body dynamics using Newtonian, Lagrangian, and Hamiltonian methods. Motion of particle systems. Central force motion. Rotating coordinate systems. Rigid body motion using the inertia tensor and Euler angles. Coupled systems and normal coordinates. Introduction to continuum mechanics and the mechanics of deformable media. Introduction to Hamiltonian Mechanics, including proof and applications of Liouville’s Theorem. Formalism of Special Relativity. Introduction to nonlinear dynamics and chaotic behavior.
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</p>
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4 credits
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Prereqs:
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<div class="pr-or-title">
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one of:
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<div class="pr-or">
|
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<a class="course-pill" href="PHYS-1200">PHYS-1200 Physics II</a>
|
||
<a class="course-pill" href="PHYS-1250">PHYS-1250 Intro Electromag Theory</a>
|
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</div>
|
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</div>
|
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<div class="pr-and">and</div>
|
||
<a class="course-pill" href="MATH-2400">MATH-2400 Intro Diff Equations</a>
|
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<div class="pr-and">and</div>
|
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<a class="course-pill" href="MATH-2010">MATH-2010 Multivar Calc & Matrix Algebra</a>
|
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<th></th>
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<th class="spring season-label">Spring</th>
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<th class="summer season-label" colspan="2">Summer</th>
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<th class="fall season-label">Fall</th>
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</tr>
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<tr>
|
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<th colspan="2"></th>
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<th class="summer2 midsum-label">(Session 1)</th>
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<th class="summer3 midsum-label">(Session 2)</th>
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<th></th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<th class="year">2025</th>
|
||
<td class="term spring offered">
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||
<div class="view-container detail-view-container">
|
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<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202501&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
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||
<ul class="prof-list">
|
||
<li>Charles Harold Martin</li>
|
||
</ul>
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||
<span class="course-capacity">
|
||
Seats Taken: 0/60
|
||
</span>
|
||
</div>
|
||
</td>
|
||
<td colspan="2" class="term summer unscheduled">
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||
</td>
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||
<td class="term fall unscheduled">
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</td>
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</tr>
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<tr>
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<th class="year">2024</th>
|
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<td class="term spring offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202401&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Charles Harold Martin</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 63/60
|
||
</span>
|
||
</div>
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2023</th>
|
||
<td class="term spring offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202301&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Charles Harold Martin</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 40/60
|
||
</span>
|
||
</div>
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2022</th>
|
||
<td class="term spring offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202201&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Charles Harold Martin</li>
|
||
<li>Vincent Meunier</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 53/90
|
||
</span>
|
||
</div>
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2021</th>
|
||
<td class="term spring offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202101&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Charles Harold Martin</li>
|
||
<li>Vincent Meunier</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 38/50
|
||
</span>
|
||
</div>
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202109&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Charles Harold Martin</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 12/30
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2020</th>
|
||
<td class="term spring offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202001&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Charles Harold Martin</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 78/90
|
||
</span>
|
||
</div>
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202009&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Charles Harold Martin</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 11/30
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2019</th>
|
||
<td class="term spring offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201901&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Charles Harold Martin</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 81/90
|
||
</span>
|
||
</div>
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2018</th>
|
||
<td class="term spring offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201801&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Charles Harold Martin</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 21/25
|
||
</span>
|
||
</div>
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2017</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201709&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Kim Michelle Lewis</li>
|
||
<li>Charles Harold Martin</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 64/80
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2016</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201609&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Ingrid Wilke</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 30/60
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2015</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201509&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Ingrid Wilke</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 36/60
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2014</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201409&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Ingrid Wilke</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 53/60
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2013</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201309&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Ingrid Wilke</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 52/60
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2012</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201209&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>Ingrid Wilke</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 55/60
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2011</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall offered">
|
||
<div class="view-container detail-view-container">
|
||
<span class="term-course-info">
|
||
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201109&subj_in=PHYS&crse_in=4330&schd_in=">Theoretical Mechanics - Students Cannot Receive Credit For Both Phys 2330 And Phys 4330 (4c)</a>
|
||
</span>
|
||
<ul class="prof-list">
|
||
<li>James J Napolitano</li>
|
||
</ul>
|
||
<span class="course-capacity">
|
||
Seats Taken: 52/60
|
||
</span>
|
||
</div>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2010</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2009</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2008</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2007</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2006</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2005</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2004</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2003</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2002</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2001</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">2000</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">1999</th>
|
||
<td class="term spring not-offered">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<th class="year">1998</th>
|
||
<td class="term spring unscheduled">
|
||
</td>
|
||
<td colspan="2" class="term summer not-offered">
|
||
</td>
|
||
<td class="term fall not-offered">
|
||
</td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
</div>
|
||
</div>
|
||
</body>
|
||
</html>
|