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Phys301.html
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---
layout: default
---
<a id="main"></a>
<h1>Phys301 — Introduction to Mathematical Physics</h1>
<br>
<!-- ============================================== -->
<h3>Purpose of this course</h3>
<p>To develop a set of mathematical problem-solving tools which you can apply to physical systems. The emphasis is on practical approaches, rather than formal rigor. The only way to become comfortable with the tools is through practice, and as such the homework is a vital part of the class.
</p>
<!-- ============================================== -->
<h3>Books</h3>
<ul>
<li>REQUIRED: Mary L. Boas <i>Mathematical Methods in the Physical
Sciences</i>.
Currently in third edition, older editions are just as good.</li>
<li>Riley, Hobson & Bense <i>Mathematical Methods for Physics
and Engineering</i>
is also a very nice book, but is many more pages.</li>
</ul>
<!-- ============================================== -->
<h3>Topics</h3>
<ul>
<li>Infinite series</li>
<li>Complex numbers</li>
<li>Linear algebra and matrices</li>
<li>Fourier series and transforms</li>
<li>Ordinary and partial differential equations</li>
<li>Functions of a complex variable</li>
</ul>
<!-- ============================================== -->
<h3>Grading</h3>
<p> Problem Sets: <i>20%</i>, Midterm Exam: <i>25%</i>, Final Exam: <i>45%</i>. </p>
<!-- ============================================== -->
<h3>Lecture Notes</h3>
<table class="highlights">
<tr class="highlights">
<td class="highlights"> 1. </td>
<td class="highlights">Infinite series</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/739rmbu9oz8qzm046f2dnxyeek8e7w1o">[pdf]</a>
</td>
</tr>
<tr class="highlights">
<td class="highlights"> 2. </td>
<td class="highlights">Complex numbers</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/ecdergikg9g9bpytkhtf0b8v3ki6c1v5">[pdf]</a>
</td>
</tr>
<tr class="highlights">
<td class="highlights"> 3. </td>
<td class="highlights">Matrices</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/122st0mb2vsipbko8ei3omh6rcricbql">[pdf]</a>
</td>
</tr>
<tr class="highlights">
<td class="highlights"> 3.5 </td>
<td class="highlights">Linear Algebra</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/f5ed11vt1wflje3u68425pjziopy09t2">[pdf]</a>
</td>
</tr>
<tr class="highlights">
<td class="highlights"> 4. </td>
<td class="highlights">Fourier Series</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/6itb8lozot8sbhomehbvipy6z8vl06tk">[pdf]</a>
</td>
</tr>
<tr class="highlights">
<td class="highlights"> 4.5 </td>
<td class="highlights">Fourier Transforms</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/qabjh32jkwm7oal4fbcsdhmu0idd2bpx">[pdf]</a>
</td>
</tr>
<tr class="highlights">
<td class="highlights"> 5. </td>
<td class="highlights">Ordinary Differential Equations I</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/1lr8ics7iej9m7tq9393rwyx2xf0i8dj">[pdf]</a>
</td>
</tr>
<tr class="highlights">
<td class="highlights"> 5.33 </td>
<td class="highlights">Ordinary Differential Equations II</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/vzbeo5yxu92lxdb4n7si882eq2x3lung">[pdf]</a>
</td>
</tr>
<tr class="highlights">
<td class="highlights"> 5.66 </td>
<td class="highlights">Ordinary Differential Equations III</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/2ltcoxgaoji2f8t6f59jirndkfsoyzp6">[pdf]</a>
</td>
</tr>
<tr class="highlights">
<td class="highlights"> 6. </td>
<td class="highlights">Partial Differential Equations</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/scssqttortvb2uhvhkggwx3pcaiv8aio">[pdf]</a>
</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/5v5o32tytmnyebxh2d5hc6rqi23h6ygb">[mathematica]</a>
</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/arpg4ubt92n07xmo3lt32h3q79vb4sxe">[mathematica]</a>
</td>
</tr>
<tr class="highlights">
<td class="highlights"> 7. </td>
<td class="highlights">Functions of a complex variable</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/0a1hxbrdl5ar71hmx4aqo886iqikw3tg">[pdf]</a>
</td>
</tr>
</table>
<!-- ============================================== -->
<br>
<h3>Problem Sets</h3>
<table class="highlights">
<tr class="highlights">
<td class="highlights"> 1. </td>
<td class="highlights">Infinite series</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/arkounynl1t44o7g9xatmd3yfjwn0hzy">[pdf]</a>
</td>
<td class="highlights">due Feb. 7</td>
</tr>
<tr class="highlights">
<td class="highlights"> 2. </td>
<td class="highlights">Complex numbers</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/qpz1ta2kwjexh9yj4zkcvzzuuudgq3uo">[pdf]</a>
</td>
<td class="highlights">due Feb. 14</td>
</tr>
<tr class="highlights">
<td class="highlights"> 3. </td>
<td class="highlights">Matrices 1</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/xkg6k8pfxcul5cqbs00r45nplcvl6nta">[pdf]</a>
</td>
<td class="highlights">due Feb. 21</td>
</tr>
<tr class="highlights">
<td class="highlights"> 4. </td>
<td class="highlights">Matrices 2</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/2bbbjqau22g3xzki9kfbq6o1ivpf2hnc">[pdf]</a>
</td>
<td class="highlights">due Feb. 28</td>
</tr>
<tr class="highlights">
<td class="highlights"> 5. </td>
<td class="highlights">Linear algebra</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/rildzj67efsgr4ldjwv1vos9s6qtxuyw">[pdf]</a>
</td>
<td class="highlights">due Mar. 20</td>
</tr>
<tr class="highlights">
<td class="highlights"> 6. </td>
<td class="highlights">Fourier series</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/r4d4xl07g4iw1bfd7s7efteajywoulx6">[pdf]</a>
</td>
<td class="highlights">due Mar. 27</td>
</tr>
<tr class="highlights">
<td class="highlights"> 7. </td>
<td class="highlights">Fourier transforms</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/zayv3mh0lzau6mo1vr9gc7un2182939z">[pdf]</a>
</td>
<td class="highlights">due Apr. 3</td>
</tr>
<tr class="highlights">
<td class="highlights"> 8. </td>
<td class="highlights">ODE 1</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/wt1w1m1yfjvknp2qz7009h5ij4v1ms0y">[pdf]</a>
</td>
<td class="highlights">due Apr. 10</td>
</tr>
<tr class="highlights">
<td class="highlights"> 9. </td>
<td class="highlights">ODE 2</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/012eiuuwdjhgfv8q7gam8b9y0vbvz2hk">[pdf]</a>
</td>
<td class="highlights">due Apr. 17</td>
</tr>
<tr class="highlights">
<td class="highlights"> 10. </td>
<td class="highlights">PDE</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/2yjkfois2mfy4wiwcq1w8sl5yehazk00">[pdf]</a>
</td>
<td class="highlights">due May. 1</td>
<td class="highlights">
<a href="https://wm1693.box.com/s/y5htkfn6tezwems7qhiopo7ms2vdg2mb">[mathematica]</a>
</td>
</tr>
</table>
</div>