-
Notifications
You must be signed in to change notification settings - Fork 1
/
sitemap.html
656 lines (519 loc) · 50.2 KB
/
sitemap.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
<!DOCTYPE html>
<html class="gr__ocw_mit_edu" lang="en"><link type="text/css" id="dark-mode" rel="stylesheet" href=""><style type="text/css" id="dark-mode-custom-style"></style><head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta charset="utf-8">
<meta name="format-detection" content="telephone=no">
<title>Site Map | MIT OpenCourseWare | Free Online Course Materials</title>
<!-- Begin Automatic Metadata Insertion -->
<meta content="Global" name="WT.cg_n">
<meta content="Site Map" name="WT.cg_s">
<meta content="" name="Description">
<meta content="MIT OpenCourseWare" name="Author">
<meta content="" name="keywords">
<meta content="Site Map | MIT OpenCourseWare" name="Search_Display">
<meta content="Unlocking knowledge, empowering minds. Free course notes, videos, instructor insights and more from MIT." property="og:description">
<meta content="https://ocw.mit.edu/images/MIT_dome.jpg" property="og:image">
<!-- End Automatic Metadata Insertion -->
<link title="default" rel="stylesheet" type="text/css" href="sitemap_files/grid.css"><link title="default" rel="stylesheet" type="text/css" href="sitemap_files/base.css"><link title="default" rel="stylesheet" type="text/css" href="sitemap_files/menu.css"><link title="default" rel="stylesheet" type="text/css" href="sitemap_files/jquery.css"><link title="default" rel="stylesheet" type="text/css" href="sitemap_files/search.css"><link title="default" rel="stylesheet" type="text/css" href="sitemap_files/global.css"><link title="default" rel="stylesheet" type="text/css" href="sitemap_files/multiple-select.css"><link title="default" rel="stylesheet" type="text/css" href="sitemap_files/courses_new.css">
<link href="https://ocw.mit.edu/xml/ocwcc.rdf" type="application/rdf+xml" rel="metadata">
<link rel="canonical" href="https://ocw.mit.edu/help/site-map/">
<link rel="apple-touch-icon" href="https://ocw.mit.edu/images/apple-touch-icon.png">
<script async="" src="sitemap_files/async-ads.js"></script><script src="sitemap_files/3534.js" async="" type="text/javascript"></script><script type="text/javascript" async="" src="sitemap_files/cse.js"></script><script async="" type="text/javascript" src="sitemap_files/gpt.js"></script><script async="" src="sitemap_files/analytics.js"></script><script type="text/javascript" src="sitemap_files/jquery.js"></script><style>@media print {#ghostery-purple-box {display:none !important}}</style>
<script type="text/javascript" src="sitemap_files/jwplayer.js"></script>
<script type="text/javascript" src="sitemap_files/ocw-media-utils.js"></script>
<script type="text/javascript" src="sitemap_files/ocw.js"></script>
<script type="text/javascript" src="sitemap_files/googleanalytics.js"></script>
<script type="text/javascript" src="sitemap_files/jquery_002.js"></script>
<script type="text/javascript" src="sitemap_files/bubble-popup.js"></script>
<script type="text/javascript">
setTimeout(function(){var a=document.createElement("script");
var b=document.getElementsByTagName("script")[0];
a.src=document.location.protocol+"//script.crazyegg.com/pages/scripts/0017/3534.js?"+Math.floor(new Date().getTime()/3600000);
a.async=true;a.type="text/javascript";b.parentNode.insertBefore(a,b)}, 1);
//google ads script for footer logos
var googletag = googletag || {};
googletag.cmd = googletag.cmd || [];
(function() {
var gads = document.createElement('script');
gads.async = true;
gads.type = 'text/javascript';
var useSSL = 'https:' == document.location.protocol;
gads.src = (useSSL ? 'https:' : 'http:') +
'//www.googletagservices.com/tag/js/gpt.js';
var node = document.getElementsByTagName('script')[0];
node.parentNode.insertBefore(gads, node);
})();
//script for sending the pageview request to GA server
ga('send', 'pageview', location.pathname + location.search + location.hash);
</script>
<script type="text/javascript">
googletag.cmd.push(function() {
googletag.defineSlot('/1064917/HOME_CORP_LOGO_1', [145, 53], 'div-gpt-ad-1388181177156-0').addService(googletag.pubads());
googletag.defineSlot('/1064917/HOME_CORP_LOGO_2', [145, 53], 'div-gpt-ad-1388181177156-1').addService(googletag.pubads());
googletag.defineSlot('/1064917/HOME_CORP_LOGO_3', [145, 53], 'div-gpt-ad-1388181177156-2').addService(googletag.pubads());
googletag.defineSlot('/1064917/HOME_CORP_LOGO_4', [145, 53], 'div-gpt-ad-1388181177156-3').addService(googletag.pubads());
googletag.defineSlot('/1064917/HOME_CORP_LOGO_5', [145, 53], 'div-gpt-ad-1388181177156-4').addService(googletag.pubads());
googletag.defineSlot('/1064917/HOME_CORP_LOGO_6', [145, 53], 'div-gpt-ad-1388181177156-5').addService(googletag.pubads());
googletag.pubads().enableSingleRequest();
googletag.enableServices();
});
</script>
<script src="sitemap_files/cse_element__en.js" type="text/javascript"></script><link type="text/css" rel="stylesheet" href="sitemap_files/defaulten.css"><link type="text/css" rel="stylesheet" href="sitemap_files/espresso.css"><style type="text/css">.gsc-control-cse{font-family:arial, sans-serif}.gsc-control-cse .gsc-table-result{font-family:arial, sans-serif}.gsc-refinementsGradient{background:linear-gradient(to left,rgba(70,18,0,1),rgba(70,18,0,0))}.gsc-control-cse{border-color:#FFFFFF;background-color:#FFFFFF}input.gsc-input,.gsc-input-box,.gsc-input-box-hover,.gsc-input-box-focus{border-color:#CCCCCC}.gsc-search-button-v2,.gsc-search-button-v2:hover,.gsc-search-button-v2:focus{border-color:#000000;background-color:#B30838;background-image:none;filter:none}.gsc-search-button-v2 svg{fill:#FFFFFF}.gsc-tabHeader.gsc-tabhActive,.gsc-refinementHeader.gsc-refinementhActive{color:#000000;border-color:#000000;background-color:#B30838}.gsc-tabHeader.gsc-tabhInactive,.gsc-refinementHeader.gsc-refinementhInactive{color:#999999;border-color:#999999;background-color:#461200}.gsc-webResult.gsc-result,.gsc-results .gsc-imageResult{border-color:#FFFFFF;background-color:#FFFFFF}.gsc-webResult.gsc-result:hover,.gsc-imageResult:hover{border-color:#FFFFFF;background-color:#FFFFFF}.gs-webResult.gs-result a.gs-title:link,.gs-webResult.gs-result a.gs-title:link b,.gs-imageResult a.gs-title:link,.gs-imageResult a.gs-title:link b{color:#B30838}.gs-webResult.gs-result a.gs-title:visited,.gs-webResult.gs-result a.gs-title:visited b,.gs-imageResult a.gs-title:visited,.gs-imageResult a.gs-title:visited b{color:#B30838}.gs-webResult.gs-result a.gs-title:hover,.gs-webResult.gs-result a.gs-title:hover b,.gs-imageResult a.gs-title:hover,.gs-imageResult a.gs-title:hover b{color:#E69138}.gs-webResult.gs-result a.gs-title:active,.gs-webResult.gs-result a.gs-title:active b,.gs-imageResult a.gs-title:active,.gs-imageResult a.gs-title:active b{color:#B30838}.gsc-cursor-page{color:#B30838}a.gsc-trailing-more-results:link{color:#B30838}.gs-webResult .gs-snippet,.gs-imageResult .gs-snippet,.gs-fileFormatType{color:#000000}.gs-webResult div.gs-visibleUrl,.gs-imageResult div.gs-visibleUrl{color:#CCCCCC}.gs-webResult div.gs-visibleUrl-short{color:#CCCCCC}.gs-webResult div.gs-visibleUrl-short{display:none}.gs-webResult div.gs-visibleUrl-long{display:block}.gs-promotion div.gs-visibleUrl-short{display:none}.gs-promotion div.gs-visibleUrl-long{display:block}.gsc-cursor-box{border-color:#FFFFFF}.gsc-results .gsc-cursor-box .gsc-cursor-page{border-color:#999999;background-color:#461200;color:#999999}.gsc-results .gsc-cursor-box .gsc-cursor-current-page{border-color:#000000;background-color:#B30838;color:#000000}.gsc-webResult.gsc-result.gsc-promotion{border-color:#FFFFFF;background-color:#FFFFFF}.gsc-completion-title{color:#B30838}.gsc-completion-snippet{color:#000000}.gs-promotion a.gs-title:link,.gs-promotion a.gs-title:link *,.gs-promotion .gs-snippet a:link{color:#B30838}.gs-promotion a.gs-title:visited,.gs-promotion a.gs-title:visited *,.gs-promotion .gs-snippet a:visited{color:#B30838}.gs-promotion a.gs-title:hover,.gs-promotion a.gs-title:hover *,.gs-promotion .gs-snippet a:hover{color:#E69138}.gs-promotion a.gs-title:active,.gs-promotion a.gs-title:active *,.gs-promotion .gs-snippet a:active{color:#B30838}.gs-promotion .gs-snippet,.gs-promotion .gs-title .gs-promotion-title-right,.gs-promotion .gs-title .gs-promotion-title-right *{color:#000000}.gs-promotion .gs-visibleUrl,.gs-promotion .gs-visibleUrl-short{color:#CCCCCC}.gcsc-find-more-on-google{color:#B30838}.gcsc-find-more-on-google-magnifier{fill:#B30838}</style><style type="text/css">.gscb_a{display:inline-block;font:27px/13px arial,sans-serif}.gsst_a .gscb_a{color:#a1b9ed;cursor:pointer}.gsst_a:hover .gscb_a,.gsst_a:focus .gscb_a{color:#36c}.gsst_a{display:inline-block}.gsst_a{cursor:pointer;padding:0 4px}.gsst_a:hover{text-decoration:none!important}.gsst_b{font-size:16px;padding:0 2px;position:relative;user-select:none;-moz-user-select:none;white-space:nowrap}.gsst_e{vertical-align:middle;opacity:0.55;}.gsst_a:hover .gsst_e,.gsst_a:focus .gsst_e{opacity:0.72;}.gsst_a:active .gsst_e{opacity:1;}.gsst_f{background:white;text-align:left}.gsst_g{background-color:white;border:1px solid #ccc;border-top-color:#d9d9d9;box-shadow:0 2px 4px rgba(0,0,0,0.2);-moz-box-shadow:0 2px 4px rgba(0,0,0,0.2);margin:-1px -3px;padding:0 6px}.gsst_h{background-color:white;height:1px;margin-bottom:-1px;position:relative;top:-1px}.gsib_a{width:100%;padding:4px 6px 0}.gsib_a,.gsib_b{vertical-align:top}.gssb_c{border:0;position:absolute;z-index:989}.gssb_e{border:1px solid #ccc;border-top-color:#d9d9d9;box-shadow:0 2px 4px rgba(0,0,0,0.2);-moz-box-shadow:0 2px 4px rgba(0,0,0,0.2);cursor:default}.gssb_f{visibility:hidden;white-space:nowrap}.gssb_k{border:0;display:block;position:absolute;top:0;z-index:988}.gsdd_a{border:none!important}.gsq_a{padding:0}.gssb_a{padding:0 7px}.gssb_a,.gssb_a td{white-space:nowrap;overflow:hidden;line-height:22px}#gssb_b{font-size:11px;color:#36c;text-decoration:none}#gssb_b:hover{font-size:11px;color:#36c;text-decoration:underline}.gssb_g{text-align:center;padding:8px 0 7px;position:relative}.gssb_h{font-size:15px;height:28px;margin:0.2em}.gssb_i{background:#eee}.gss_ifl{visibility:hidden;padding-left:5px}.gssb_i .gss_ifl{visibility:visible}a.gssb_j{font-size:13px;color:#36c;text-decoration:none;line-height:100%}a.gssb_j:hover{text-decoration:underline}.gssb_l{height:1px;background-color:#e5e5e5}.gssb_m{color:#000;background:#fff}.gssb_a{padding:0 9px}.gsib_a{padding:5px 9px 4px 9px}.gscb_a{line-height:27px}.gssb_e{border:0}.gssb_l{margin:5px 0}input.gsc-input::-webkit-input-placeholder{font-size:14px}input.gsc-input:-moz-placeholder{font-size:14px}input.gsc-input::-moz-placeholder{font-size:14px}input.gsc-input:-ms-input-placeholder{font-size:14px}input.gsc-input:focus::-webkit-input-placeholder{color:transparent}input.gsc-input:focus:-moz-placeholder{color:transparent}input.gsc-input:focus::-moz-placeholder{color:transparent}input.gsc-input:focus:-ms-input-placeholder{color:transparent}.gssb_c .gsc-completion-container{position:static}.gssb_c{z-index:5000}.gsc-completion-container table{background:transparent;font-size:inherit;font-family:inherit}.gssb_c > tbody > tr,.gssb_c > tbody > tr > td,.gssb_d,.gssb_d > tbody > tr,.gssb_d > tbody > tr > td,.gssb_e,.gssb_e > tbody > tr,.gssb_e > tbody > tr > td{padding:0;margin:0;border:0}.gssb_a table,.gssb_a table tr,.gssb_a table tr td{padding:0;margin:0;border:0}</style></head>
<body itemscope="" itemtype="http://schema.org/WebPage" data-gr-c-s-loaded="true">
<header id="top">
<div id="grid">
<div id="portletwrapper-6f63772e746f70706f72746c65746d616e616765720a636f6e746578740a2f506c6f6e650a736974652d686561646572" class="portletWrapper kssattr-portlethash-6f63772e746f70706f72746c65746d616e616765720a636f6e746578740a2f506c6f6e650a736974652d686561646572"><div class="portletStaticText portlet-static-site-header"><!--googleoff: index--> <div class="grid_6 alpha" id="banner"><a href="https://ocw.mit.edu/"><img src="sitemap_files/ocw_mast.png" class="logo" alt="MIT OpenCourseWare, Massachusetts Institute of Technology"></a></div> <div class="grid_6 omega" id="subscribe"><aside class="module" aria-label="Connect with OCW"> <table class="social"> <tbody> <tr> <td class="socialbutton"><a aria-label="Subscribe to the OCW Newsletter" href="https://ocw.mit.edu/subscribe/index.htm?utm_source=header"><img src="sitemap_files/trans.gif" alt="An icon depicting an envelope.">Subscribe to the OCW Newsletter</a></td> <td><a aria-label="Facebook" href="https://facebook.com/mitocw"><img src="sitemap_files/icon_fb.png" alt="Click to visit our Facebook page."></a> <a aria-label="Twitter" href="https://twitter.com/mitocw"><img src="sitemap_files/icon_twitter.png" alt="Click to visit our Twitter feed."></a> <a aria-label="YouTube" href="https://www.youtube.com/mitocw"><img src="sitemap_files/icon_yt.png" alt="Click to visit our YouTube page."></a> <a aria-label="Open Matters blog on WordPress" href="https://mitopencourseware.wordpress.com/"><img src="sitemap_files/icon_wp.png" alt="Click to visit our blog on WordPress."></a></td> </tr> </tbody> </table> </aside><nav aria-label="Help Links" class="helplinks"> <a aria-label="OCW Site Help" href="https://ocw.mit.edu/help">Help</a><span aria-hidden="true">|</span> <a href="https://ocw.mit.edu/about/contactus">Contact Us</a> </nav></div> <div class="clear"> </div> <!--googleon: index--></div>
</div>
<div id="portletwrapper-6f63772e746f70706f72746c65746d616e616765720a636f6e746578740a2f506c6f6e650a6d6567612d6d656e75" class="portletWrapper kssattr-portlethash-6f63772e746f70706f72746c65746d616e616765720a636f6e746578740a2f506c6f6e650a6d6567612d6d656e75"><div class="portletStaticText portlet-static-mega-menu"><div><nav id="mega" class="grid_8 alpha" aria-label="Site">
<ul id="menu" role="presentation">
<li id="menu_home"><a href="https://ocw.mit.edu/" aria-label="Homepage"><img src="sitemap_files/top-nav_home.png" class="home_icon" alt="Click for site home page."></a><!-- Begin Home Item --></li>
<!-- End Home Item -->
<li id="drop_1" aria-label="Find Courses"><a href="#" aria-hidden="true">FIND COURSES</a><!-- Begin 5 columns Item -->
<div class="dropdown_5columns-a mega-courses">
<div class="col_1a">
<div class="row_1a"><nav aria-labelledby="mm-find-courses-by"> <span id="mm-find-courses-by" class="nav" aria-hidden="true">Find courses by:</span>
<ul class="find_by" role="presentation">
<li><a href="https://ocw.mit.edu/courses/find-by-topic/">Topic</a></li>
<li><a href="https://ocw.mit.edu/courses/find-by-number/">MIT Course Number</a></li>
<li><a href="https://ocw.mit.edu/courses/find-by-department/">Department</a></li>
</ul>
</nav> <nav aria-labelledby="mm-collections"> <span id="mm-collections" class="nav" aria-hidden="true">Collections</span>
<ul role="presentation">
<li><a href="https://ocw.mit.edu/courses/new-courses/">New Courses</a></li>
<li><a href="https://ocw.mit.edu/courses/most-visited-courses/">Most Visited Courses</a></li>
<li><a href="https://ocw.mit.edu/courses/ocw-scholar/">OCW Scholar Courses</a></li>
<li><a href="https://ocw.mit.edu/courses/audio-video-courses/">Audio/Video Lectures</a></li>
<li><a href="https://ocw.mit.edu/courses/online-textbooks/">Online Textbooks</a></li>
<li><a href="https://ocw.mit.edu/resources/">Supplemental Resources</a></li>
<li><a href="https://ocw.mit.edu/high-school/">OCW Highlights for High School</a></li>
<li><a href="https://ocw.mit.edu/courses/mitx-related-courseware/">MITx & Related OCW Courses</a></li>
</ul>
</nav> <nav class="col_1b" aria-labelledby="mm-translated-courses"> <span id="mm-translated-courses" class="nav" aria-hidden="true" style="line-height: 1.3;">Cross-Disciplinary Topic Lists</span>
<ul role="presentation">
<li><a href="https://ocw.mit.edu/courses/energy-courses">Energy</a></li>
<li><a href="https://ocw.mit.edu/courses/entrepreneurship">Entrepreneurship</a></li>
<li><a href="https://ocw.mit.edu/courses/environment-courses">Environment</a></li>
<li><a href="https://ocw.mit.edu/courses/intro-programming">Introductory Programming</a></li>
<li><a href="https://ocw.mit.edu/courses/life-sciences">Life Sciences</a></li>
<li><a href="https://ocw.mit.edu/courses/transportation-courses">Transportation</a></li>
</ul>
</nav></div>
<div class="row_1b"><nav aria-labelledby="mm-cross-disciplinary-topic-lists"> <span id="mm-cross-disciplinary-topic-lists" class="nav" aria-hidden="true">Translated Courses</span>
<ul role="presentation">
<li><a href="https://ocw.mit.edu/courses/translated-courses/traditional-chinese" aria-label="Traditional Chinese">繁體字 / Traditional Chinese</a></li>
<li><a href="https://ocw.mit.edu/courses/translated-courses/spanish" aria-label="Spanish">Español / Spanish</a></li>
<li><a href="https://ocw.mit.edu/courses/translated-courses/turkish" aria-label="Turkish">Türkçe / Turkish</a></li>
<li><a href="https://ocw.mit.edu/courses/translated-courses/korean" aria-label="Korean">(비디오)한국 / Korean</a></li>
</ul>
</nav></div>
</div>
</div>
</li>
<li id="drop_2"><a href="#" aria-label="For Educators">For Educators</a>
<div class="dropdown_1column-a" style="width: 270px;"><nav aria-labelledby="mm-find-courses-by"> <span id="mm-find-courses-by" class="nav" aria-hidden="true">OCW Educator Portal</span>
<ul role="presentation">
<li><a href="https://ocw.mit.edu/educator/?view=instructional&utm_campaign=Educator&utm_source=megamenu&utm_medium=find-courses&utm_content=approaches">Search for Instructor Insights</a></li>
<li><a href="https://ocw.mit.edu/educator/?view=teaching&utm_campaign=Educator&utm_source=megamenu&utm_medium=find-courses&utm_content=materials">Search for Teaching Materials</a></li>
</ul>
<span id="mm-collections" class="nav" aria-hidden="true">OCW Collections</span>
<ul role="presentation">
<li><a href="https://ocw.mit.edu/courses/instructor-insights/">Instructor Insights by Department</a></li>
<li><a href="https://ocw.mit.edu/courses/find-by-topic/#cat=teachingandeducation">MIT Courses about Teaching and Education</a></li>
</ul>
<span id="mm-collections" class="nav" aria-hidden="true">K-12</span>
<ul role="presentation">
<li><a href="https://ocw.mit.edu/high-school/">OCW Highlights for High School</a></li>
<li><a href="https://www.k12videos.mit.edu/videos" aria-label="External Link: MIT Plus K12 Videos">MIT+K12 Videos</a></li>
</ul>
<span id="mm-higher-ed" class="nav" aria-hidden="true">Higher Ed</span>
<ul>
<li><a href="https://teachingexcellence.mit.edu/" aria-label="External Link: Teaching Excellence at MIT">Teaching Excellence at MIT</a></li>
<li><a href="https://ocw.mit.edu/courses/mit-curriculum-guide/">MIT Undergraduate Curriculum Map</a></li>
<li><a href="https://openlearning.mit.edu/campus/digital-innovations/">Residential Digital Innovations</a></li>
</ul>
</nav></div>
</li>
<li id="drop_3"><a href="#" aria-hidden="true">Give Now</a>
<div class="dropdown_1column-a"><nav class="col_1" aria-label="Donate">
<ul role="presentation">
<li><a href="https://ocw.mit.edu/give/">Make a Donation</a></li>
<li><a href="https://ocw.mit.edu/give/why-give/">Why Give?</a></li>
<li><a href="https://ocw.mit.edu/give/our-supporters/">Our Supporters</a></li>
<li><a href="https://ocw.mit.edu/give/other-ways-to-contribute/">Other Ways to Contribute</a></li>
<li><a href="https://ocw.mit.edu/give/shop-ocw">Shop OCW</a></li>
<li><a href="https://ocw.mit.edu/support/">Become a Corporate Sponsor</a></li>
</ul>
</nav></div>
</li>
<li id="drop_4"><a href="#" aria-hidden="true">About</a>
<div class="dropdown_1column-a"><nav class="col_1" aria-label="About">
<ul role="presentation">
<li><a href="https://ocw.mit.edu/about/">About MIT OpenCourseWare</a></li>
<li><a href="https://ocw.mit.edu/about/site-statistics/">Site Statistics</a></li>
<li><a href="https://ocw.mit.edu/about/ocw-stories/">OCW Stories</a></li>
<li><a href="https://ocw.mit.edu/about/newsletter/">News</a></li>
</ul>
</nav></div>
</li>
</ul>
</nav></div></div>
</div>
<!--googleoff: index-->
<script>
(function() {
var cx = '012626166551961672889:owjdpuboktq';
var gcse = document.createElement('script');
gcse.type = 'text/javascript';
gcse.async = true;
gcse.src = 'https://cse.google.com/cse.js?cx=' + cx;
var s = document.getElementsByTagName('script')[0];
s.parentNode.insertBefore(gcse, s);
})();
window.onload = function(){
document.getElementById('gsc-i-id1').placeholder = 'Search';
};
$(document).ready(function(){
$('.advanceSearch a').keydown(function(event){showSearchTips($(this),event);})
$('#searchTipsModal').keydown(function(event){showSearchTips($(this),event);})
function showSearchTips(obj,evt) {
// if pressed enter key
if ( evt.which == 13 || evt.which == 32) {
showModal();
ga('send', 'pageview', "AdvanceSearch");
$(".advanceSearch a").attr('aria-expanded', 'true');
$('.searchTipsModal').focus();
evt.preventDefault();
}
if ( evt.which == 27 ) {
hideModal();
$(".advanceSearch a").attr('aria-expanded', 'false');
var modal = document.getElementById('searchTipsModal');
modal.style.display = "none";
$(".advanceSearch a").focus();
evt.preventDefault();
}
}
});
function showModal(){
var modal = document.getElementById('searchTipsModal');
modal.style.display = "block";
ga('send', 'pageview', "AdvanceSearch");
document.getElementById("searchTipsBtn").setAttribute("aria-expanded", true);
window.setTimeout(function () {
document.getElementById('searchTipsModal').focus(); }, 0);
}
function hideModal(){
var modal = document.getElementById('searchTipsModal');
modal.style.display = "none";
document.getElementById("searchTipsBtn").setAttribute("aria-expanded", false);
}
</script>
<div id="search" role="search" class="grid_4 omega">
<table class="search">
<tbody>
<tr>
<td><div class="searchboxheader"><div id="___gcse_0"><div class="gsc-control-searchbox-only gsc-control-searchbox-only-en" dir="ltr"><form class="gsc-search-box gsc-search-box-tools" accept-charset="utf-8"><table class="gsc-search-box" cellspacing="0" cellpadding="0"><tbody><tr><td class="gsc-input"><div class="gsc-input-box" id="gsc-iw-id1"><table style="width: 100%; padding: 0px;" id="gs_id50" class="gstl_50 gsc-input" cellspacing="0" cellpadding="0"><tbody><tr><td id="gs_tti50" class="gsib_a"><input autocomplete="off" type="text" size="10" class="gsc-input" name="search" title="search" style="width: 100%; padding: 0px; border: medium none; margin: 0px; height: auto; background: rgb(255, 255, 255) url("https://www.google.com/cse/static/images/1x/googlelogo_lightgrey_46x16dp.png") no-repeat scroll left center; text-indent: 48px; outline: currentcolor none medium;" id="gsc-i-id1" placeholder="Search" dir="ltr" spellcheck="false"></td><td class="gsib_b"><div class="gsst_b" id="gs_st50" dir="ltr"><a class="gsst_a" href="javascript:void(0)" style="display: none;" title="Clear search box" role="button"><span class="gscb_a" id="gs_cb50" aria-hidden="true">×</span></a></div></td></tr></tbody></table></div></td><td class="gsc-search-button"><button class="gsc-search-button gsc-search-button-v2"><svg width="13" height="13" viewBox="0 0 13 13"><title>search</title><path d="m4.8495 7.8226c0.82666 0 1.5262-0.29146 2.0985-0.87438 0.57232-0.58292 0.86378-1.2877 0.87438-2.1144 0.010599-0.82666-0.28086-1.5262-0.87438-2.0985-0.59352-0.57232-1.293-0.86378-2.0985-0.87438-0.8055-0.010599-1.5103 0.28086-2.1144 0.87438-0.60414 0.59352-0.8956 1.293-0.87438 2.0985 0.021197 0.8055 0.31266 1.5103 0.87438 2.1144 0.56172 0.60414 1.2665 0.8956 2.1144 0.87438zm4.4695 0.2115 3.681 3.6819-1.259 1.284-3.6817-3.7 0.0019784-0.69479-0.090043-0.098846c-0.87973 0.76087-1.92 1.1413-3.1207 1.1413-1.3553 0-2.5025-0.46363-3.4417-1.3909s-1.4088-2.0686-1.4088-3.4239c0-1.3553 0.4696-2.4966 1.4088-3.4239 0.9392-0.92727 2.0864-1.3969 3.4417-1.4088 1.3553-0.011889 2.4906 0.45771 3.406 1.4088 0.9154 0.95107 1.379 2.0924 1.3909 3.4239 0 1.2126-0.38043 2.2588-1.1413 3.1385l0.098834 0.090049z"></path></svg></button></td><td class="gsc-clear-button"><div class="gsc-clear-button" title="clear results"> </div></td></tr></tbody></table></form></div></div></div></td>
<td>
<div class="advanceSearch">
<a id="searchTipsBtn" onclick="showModal();" href="#" role="button" aria-label="search tips" aria-expanded="false" aria-describedby="searchtips">Search Tips</a>
<!-- The Modal -->
<div id="searchTipsModal" class="modal" tabindex="-1">
<!-- Modal content -->
<div class="modal-content">
<div class="modal-body">
<button class="close" onclick="hideModal();" aria-label="close">X</button>
<span>
<b>Exclude words from your search</b>
<br>Put - in front of a word you want to leave out. For example, jaguar speed -car
<br><br>
<b>Search for an exact match</b>
<br>Put a word or phrase inside quotes. For example, "tallest building".
<br><br>
<b>Search for wildcards or unknown words</b>
<br>Put a * in your word or phrase where you want to leave a placeholder. For example, "largest * in the world".
<br><br>
<b>Search within a range of numbers</b>
<br>Put .. between two numbers. For example, camera $50..$100.
<br><br>
<b>Combine searches</b>
<br>Put "OR" between each search query. For example, marathon OR race.
<br><br>
</span>
</div>
</div>
</div>
</div>
</td>
</tr>
</tbody>
</table>
</div>
<div class="clear"></div>
<!--googleon: index-->
<!-- *end header* -->
</div><!-- top grid end -->
</header><!-- top end -->
<div id="center_global">
<div id="grid">
<div id="left">
<div id="breadcrumb_global">
<p>
<a href="https://ocw.mit.edu/">Home</a>
»
<a href="https://ocw.mit.edu/help">Help</a>
»
Site Map
</p>
</div>
<div class="clear"></div>
<div id="global_title">
<h1 class="title" itemprop="name" property="dct:title">
<span class="" id="parent-fieldname-title">
Site Map
</span>
</h1>
</div>
<div class="clear"></div>
<div id="global_wrapper">
<div id="global_inner">
<p><a class="bullet" href="https://ocw.mit.edu/about/index.htm"><strong>About OpenCourseWare</strong></a><br> <a class="bullet" href="https://ocw.mit.edu/about/ocw-stories">OCW Stories</a><br> <a class="bullet" href="https://ocw.mit.edu/about/site-statistics">Site Statistics</a><br> <a class="bullet" href="https://ocw.mit.edu/about/ocw-team">OCW Team</a><br> <a class="bullet" href="https://ocw.mit.edu/about/our-history">Our History</a><br> <a class="bullet" href="https://ocw.mit.edu/about/presidents-message">President's Message</a><br> <a class="bullet" href="https://ocw.mit.edu/about/newsletter">Newsletter</a><br> <a class="bullet" href="https://ocw.mit.edu/about/newsletter/subscribe">Newsletter Subscribe</a><br> <a class="bullet" href="https://ocw.mit.edu/help/rss">RSS Feeds</a><br> <a class="bullet" href="https://ocw.mit.edu/about/press-releases">Press Releases</a></p> <p> </p> <p><a class="bullet" href="https://ocw.mit.edu/courses/index.htm"><strong>Courses</strong></a><br> <a class="bullet" href="https://ocw.mit.edu/courses/index.htm">All Courses</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/new-courses">New Courses</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/most-visited-courses">Most Visited Courses</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/ocw-scholar">OCW Scholar</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/audio-video-courses">Audio/Video Courses</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/archived-courses">Archived Courses</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/mit-curriculum-guide">Curriculum Guide</a><br> <a class="bullet" href="https://ocw.mit.edu/resources/index.htm">Supplemental Resources</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/translated-courses">Translated Courses</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/translated-courses/traditional-chinese">Translated Courses: Traditional Chinese</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/translated-courses/turkish">Translated Courses: Turkish</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/translated-courses/korean">Translated Courses: Korean</a></p> <p><a class="bullet" href="https://ocw.mit.edu/courses/aeronautics-and-astronautics">Aeronautics and Astronautics</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/anthropology">Anthropology</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/architecture">Architecture</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/athletics-physical-education-and-recreation">Athletics, Physical Education, and Recreation</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/biological-engineering">Biological Engineering</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/biology">Biology</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/brain-and-cognitive-sciences">Brain and Cognitive Sciences</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/chemical-engineering">Chemical Engineering</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/chemistry">Chemistry</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/civil-and-environmental-engineering">Civil and Environmental Engineering</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/comparative-media-studies">Comparative Media Studies</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/earth-atmospheric-and-planetary-sciences">Earth, Atmospheric, and Planetary Sciences</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/economics">Economics</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/electrical-engineering-and-computer-science">Electrical Engineering and Computer Science</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/experimental-study-group">Engineering Systems Division</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/experimental-study-group">Experimental Study Group</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/global-studies-and-languages">Foreign Languages and Literatures</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/health-sciences-and-technology">Health Sciences and Technology</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/history">History</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/institute-for-data-systems-and-society">Institute for Data Systems and Society</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/linguistics-and-philosophy">Linguistics and Philosophy</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/literature">Literature</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/materials-science-and-engineering">Materials Science and Engineering</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/mathematics">Mathematics</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/mechanical-engineering">Mechanical Engineering</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/media-arts-and-sciences">Media Arts and Sciences</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/music-and-theater-arts">Music and Theater Arts</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/nuclear-engineering">Nuclear Science and Engineering</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/physics">Physics</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/political-science">Political Science</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/science-technology-and-society">Science, Technology, and Society</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/sloan-school-of-management">Sloan School of Management</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/urban-studies-and-planning">Urban Studies and Planning</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/womens-and-gender-studies">Women's and Gender Studies</a><br> <a class="bullet" href="https://ocw.mit.edu/courses/writing-and-humanistic-studies">Writing and Humanistic Studies</a></p> <p><a class="bullet" href="https://ocw.mit.edu/give/index.htm"><strong>Give Now</strong></a><br> <a class="bullet" href="https://ocw.mit.edu/give/why-give">Why Give?</a><br> <a class="bullet" href="https://ocw.mit.edu/DNP/individual-supporters">Individual Supporters</a><br> <a class="bullet" href="https://ocw.mit.edu/give/our-supporters">Our Supporters</a><br> <a class="bullet" href="https://ocw.mit.edu/give/other-ways-to-contribute">Other Ways to Contribute</a></p> <p><a class="bullet" href="https://ocw.mit.edu/high-school"><strong>Highlights for High School</strong></a></p> <p><a class="bullet" href="https://ocw.mit.edu/educator"><strong>OCW Educator</strong></a><br> <a class="bullet" href="https://ocw.mit.edu/courses/instructor-insights">Instructor Insights</a><br> <a class="bullet" href="https://ocw.mit.edu/educator/pedagogy-highlights">Pedagogy Highlights in Course Introduction Videos</a></p> <p><a class="bullet" href="https://ocw.mit.edu/help/index.htm"><strong>Help</strong></a><br> <a class="bullet" href="https://ocw.mit.edu/help/faq-using-ocw-materials">FAQ: Using OCW Materials</a><br> <a class="bullet" href="https://ocw.mit.edu/help/faq-intellectual-property">FAQ: Intellectual Property</a><br> <a class="bullet" href="https://ocw.mit.edu/help/faq-technology">FAQ: Technology</a><br> <a class="bullet" href="https://ocw.mit.edu/help/faq-highlights-for-high-school">FAQ: Highlights for High School</a><br> <a class="bullet" href="https://ocw.mit.edu/help/faq-underwriting">FAQ: Underwriting</a><br> <a class="bullet" href="https://ocw.mit.edu/help/faq-cite-ocw-content">Cite/Attribute OCW Content</a><br> <a class="bullet" href="https://ocw.mit.edu/help/get-started-with-ocw">Get Started with OCW</a><br> <a class="bullet" href="https://ocw.mit.edu/help/faq-technical-requirements">Technical Requirements</a></p> <p><a class="bullet" href="https://ocw.mit.edu/about/contactus"><strong>Contact Us</strong></a></p> <p><a class="bullet" href="https://ocw.mit.edu/terms"><strong>Privacy and Terms of Use</strong></a><br> <a class="bullet" href="https://ocw.mit.edu/terms/trademarks">Trademarks</a></p>
<div id="coursePreview" role="dialog" aria-labelledby="courseTitle" aria-hidden="true" class="coursePreview" style="display: none; width: 468px;">
<div id="courseInfoInner" role="document">
<a title="Close Window" href="javascript:void(0);" class="close">
<img class="btn_close" alt="Close" title="Close Window" src="sitemap_files/close.png">
</a>
<div class="coursePreviewTop"><h3 id="courseTitle"></h3></div>
<div class="coursePreviewBottom">
<div class="images">
<img id="courseThumb" class="first" alt="Course image thumbnail alt-text goes here." src="">
<br>
<a id="viewCourse" href="javascript:void(0)" title="Click here to view this course."><img alt="Click here to view this course." src="sitemap_files/button_view-course.png">
</a>
</div>
<div class="info" title="CourseInfo">
<table class="coursePreviewTable">
<tbody>
<tr>
<td colspan="2">
<p id="courseDesc" class="intro">Some Description</p>
</td>
</tr>
<tr class="instructor">
<td class="first">
<p>
<strong>Instructor(s)</strong>
</p>
</td>
<td>
<p id="courseInstructors">Prof.</p>
</td>
</tr>
<tr>
<td class="first">
<p>
<strong>As Taught In</strong>
</p>
</td>
<td>
<p id="courseSem">Spring 2002</p>
</td>
</tr>
<tr>
<td>
<p>
<strong>Course Number</strong>
</p>
</td>
<td>
<p id="courseNo">2.24</p>
</td>
</tr>
<tr id="level">
<td>
<p>
<strong>Level</strong>
</p>
</td>
<td>
<p id="courseLevel">Undergraduate/Graduate</p>
</td>
</tr>
<tr class="last">
<td>
<p>
<strong>Features</strong>
</p>
</td>
<td>
<p id="courseFeatures">Lecture Notes, Student Work</p>
</td>
</tr>
</tbody>
</table>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div id="right_global">
<div>
</div>
<div>
<div id="portletwrapper-6f63772e72696768746d6964646c65706f72746c65746d616e616765720a636f6e746578740a2f506c6f6e652f68656c700a68656c702d6e6176" class="portletWrapper kssattr-portlethash-6f63772e72696768746d6964646c65706f72746c65746d616e616765720a636f6e746578740a2f506c6f6e652f68656c700a68656c702d6e6176"><div class="portletStaticText portlet-static-help-nav"><script>
// a short bit of jQuery to highlight the current section in the right nav
// by Peter Pinch, testing against jQuery 1.7.2
$(document).ready(function() {
var path = location.pathname.substring(1);
if (path) {
// window.alert(path)
$('#global_side_nav a[href$="' + path + '"]').parent().attr('class', 'selected');
}
});
</script>
<div id="global_side_nav" class="white_side">
<ul>
<li><a href="https://ocw.mit.edu/help/get-started-with-ocw/">Getting Started Tour</a></li>
<li><a href="https://ocw.mit.edu/help/finding-courses/">Finding Courses</a></li>
<li><a href="https://ocw.mit.edu/help/faq-technology/">Technology FAQ</a></li>
<li><a href="https://ocw.mit.edu/help/faq-using-ocw-materials/">Using OCW Materials</a></li>
<li><a href="https://ocw.mit.edu/help/faq-technical-requirements/">Technical Requirements</a></li>
<li><a href="https://ocw.mit.edu/help/faq-fair-use/">Fair Use FAQ</a></li>
<li><a href="https://ocw.mit.edu/help/faq-ocw-scholar/">OCW ScholaR FAQ</a> </li>
<li><a href="https://ocw.mit.edu/help/faq-cite-ocw-content/">Cite/Attribute OCW Content</a></li>
<li><a href="https://ocw.mit.edu/help/faq-intellectual-property/">Intellectual Property</a></li>
<li><a href="https://ocw.mit.edu/help/faq-highlights-for-high-school/">Highlights for High School FAQ</a></li>
<li><a href="https://ocw.mit.edu/help/faq-underwriting/">Underwriting FAQ</a> </li>
<li><a href="https://ocw.mit.edu/help/rss/">RSS Feeds</a> </li>
</ul>
</div></div>
</div>
</div>
<!-- RSI google ad space-->
<div id="google_ads">
<script async="async" src="sitemap_files/gpt.js"></script>
<script type="text/javascript">var googletag = googletag || {}; googletag.cmd = googletag.cmd || [];</script>
<script type="text/javascript">
googletag.cmd.push(function() {googletag.defineSlot('/1064917/HELP_SLOT_A', [[300, 250], [300, 300], [180, 200]], 'HELP_SLOT_A').addService(googletag.pubads());googletag.defineSlot('/1064917/HELP_SLOT_B', [[300, 250], [300, 300], [180, 150], [180, 200]], 'HELP_SLOT_B').addService(googletag.pubads());googletag.defineSlot('/1064917/HELP_SLOT_C', [[160, 600], [160, 650]], 'HELP_SLOT_C').addService(googletag.pubads());
googletag.pubads().enableSingleRequest();
googletag.enableServices();
});</script>
<script language="javascript" type="text/javascript">googletag.cmd.push(function() {googletag.pubads().set("TYPE","HOUSE");googletag.pubads().set("DEPARTMENT","WEB");googletag.pubads().set("PG_SECTION","HELP");googletag.pubads().set("PG_AREA","SITEMAP");googletag.pubads().set("PG_TLP","");})
</script>
<div id="HELP_SLOT_A" style="width:180; height:200; overflow: visible;">
<script>googletag.cmd.push(function() { googletag.display('HELP_SLOT_A'); });</script>
</div>
<div id="HELP_SLOT_B" style="width:180; height:200;; overflow: visible;">
<script>googletag.cmd.push(function() { googletag.display('HELP_SLOT_B'); });</script>
</div>
<div id="HELP_SLOT_C" style="width:160; height:600;; overflow: visible;">
<script>googletag.cmd.push(function() { googletag.display('HELP_SLOT_C'); });</script>
</div>
</div>
<!-- End RSI ads-->
<div>
</div>
</div>
<div class="clear"></div>
</div>
</div>
<footer id="bottom">
<div id="grid">
<div id="portletwrapper-6f63772e626f74746f6d706f72746c65746d616e616765720a636f6e746578740a2f506c6f6e650a736974652d666f6f746572" class="portletWrapper kssattr-portlethash-6f63772e626f74746f6d706f72746c65746d616e616765720a636f6e746578740a2f506c6f6e650a736974652d666f6f746572"><div class="portletStaticText portlet-static-site-footer"><div id="footer"><nav aria-label="Footer"> <nav id="foot-c1" class="grid_2 alpha" aria-labelledby="f-find-courses"> <span class="footer" id="f-find-courses" aria-hidden="true">Find Courses</span>
<ul class="foot-bullet" role="presentation">
<li><a href="https://ocw.mit.edu/courses/find-by-topic/">Find by Topic</a></li>
<li><a href="https://ocw.mit.edu/courses/find-by-number/">Find by Course Number</a></li>
<li><a href="https://ocw.mit.edu/courses/find-by-department/">Find by Department</a></li>
<li><a href="https://ocw.mit.edu/courses/new-courses/">New Courses</a></li>
<li><a href="https://ocw.mit.edu/courses/most-visited-courses/">Most Visited Courses</a></li>
<li><a href="https://ocw.mit.edu/courses/ocw-scholar/">OCW Scholar Courses</a></li>
<li><a href="https://ocw.mit.edu/courses/audio-video-courses/">Audio/Video Courses</a></li>
<li><a href="https://ocw.mit.edu/courses/online-textbooks/">Online Textbooks</a></li>
<li><a href="https://ocw.mit.edu/courses/instructor-insights/">Instructor Insights</a></li>
<li><a href="https://ocw.mit.edu/resources/">Supplemental Resources</a></li>
<li><a href="https://ocw.mit.edu/courses/mitx-related-courseware/">MITx & Related OCW Courses</a></li>
<li><a href="https://ocw.mit.edu/courses/translated-courses/">Translated Courses</a></li>
</ul>
</nav>
<div id="foot-c2" class="grid_2"><nav aria-labelledby="f-for-educators"> <span id="f-for-educators" class="footer" aria-hidden="true">For Educators</span>
<ul class="foot-bullet" role="presentation">
<li><a href="https://ocw.mit.edu/educator/?view=instructional&utm_campaign=Educator&utm_source=footer&utm_medium=find-courses&utm_content=approaches">Search for Instructor Insights</a></li>
<li><a href="https://ocw.mit.edu/educator/?view=teaching&utm_campaign=Educator&utm_source=footer&utm_medium=find-courses&utm_content=materials">Search for Teaching Materials</a></li>
<li><a href="https://ocw.mit.edu/courses/instructor-insights/">Instructor Insights by Department</a></li>
<li><a href="https://ocw.mit.edu/courses/find-by-topic/#cat=teachingandeducation">MIT Courses about Teaching and Education</a></li>
<li><a href="https://ocw.mit.edu/high-school/">Highlights for High School</a></li>
<li><a href="http://k12videos.mit.edu/" aria-label="External Link: MIT+K12 Videos">MIT+K12 Videos</a></li>
<li><a href="http://teachingexcellence.mit.edu/" aria-label="External Link: Teaching Excellence at MIT">Teaching Excellence at MIT</a></li>
<li><a href="https://ocw.mit.edu/courses/mit-curriculum-guide/">MIT Undergraduate Curriculum Map</a></li>
</ul>
</nav></div>
<nav class="grid_2" id="foot-c3" aria-labelledby="f-donate"> <span id="f-donate" class="footer" aria-hidden="true">Give Now</span>
<ul class="foot-bullet" role="presentation">
<li><a href="https://ocw.mit.edu/give/">Make a Donation</a></li>
<li><a href="https://ocw.mit.edu/give/why-give/">Why Give?</a></li>
<li><a href="https://ocw.mit.edu/give/our-supporters/">Our Supporters</a></li>
<li><a href="https://ocw.mit.edu/give/other-ways-to-contribute/">Other Ways to Contribute</a></li>
<li><a href="https://ocw.mit.edu/give/shop-ocw/">Shop OCW</a></li>
<li><a href="https://ocw.mit.edu/support/">Become a Corporate Sponsor</a></li>
</ul>
</nav>
<div class="grid_2" id="foot-c4"><nav aria-labelledby="f-about"> <span id="f-about" class="footer" aria-hidden="true">About</span>
<ul class="foot-bullet" role="presentation">
<li><a href="https://ocw.mit.edu/about/">About OpenCourseWare</a></li>
<li><a href="https://ocw.mit.edu/about/site-statistics/">Site Statistics</a></li>
<li><a href="https://ocw.mit.edu/about/ocw-stories/">OCW Stories</a></li>
<li><a href="https://ocw.mit.edu/about/newsletter/">News</a></li>
<li><a href="https://ocw.mit.edu/about/media-coverage/press-releases/">Press Releases</a></li>
</ul>
</nav><!--about--> <nav aria-labelledby="f-tools"> <span id="f-tools" class="footer" aria-hidden="true">Tools</span>
<ul class="foot-bullet" role="presentation">
<li><a href="https://ocw.mit.edu/help/">Help & FAQs</a></li>
<li><a href="https://ocw.mit.edu/about/contactus">Contact Us</a></li>
<li><a href="https://ocw.mit.edu/help/site-map/">Site Map</a></li>
<li><a href="https://ocw.mit.edu/terms/">Privacy & Terms of Use</a></li>
<li><a href="https://ocw.mit.edu/help/rss/">RSS Feeds</a></li>
</ul>
</nav><!--tools--></div>
</nav> <aside style="min-height: 289px;" aria-labelledby="f-our-corporate-supporters" class="grid_4 omega" id="foot-c5"> <span aria-hidden="true" class="footer" id="f-our-corporate-supporters">Our Corporate Supporters</span> <!-- HOME_CORP_LOGO_1 -->
<div id="div-gpt-ad-1388181177156-0" class="sponsors_google_ads_even"><script type="text/javascript">
googletag.cmd.push(function() { googletag.display('div-gpt-ad-1388181177156-0'); });
</script></div>
<!-- HOME_CORP_LOGO_2 -->
<div id="div-gpt-ad-1388181177156-1" class="sponsors_google_ads_odd"><script type="text/javascript">
googletag.cmd.push(function() { googletag.display('div-gpt-ad-1388181177156-1'); });
</script></div>
<!-- HOME_CORP_LOGO_3 -->
<div id="div-gpt-ad-1388181177156-2" class="sponsors_google_ads_even"><script type="text/javascript">
googletag.cmd.push(function() { googletag.display('div-gpt-ad-1388181177156-2'); });
</script></div>
<!-- HOME_CORP_LOGO_4 -->
<div id="div-gpt-ad-1388181177156-3" class="sponsors_google_ads_odd"><script type="text/javascript">
googletag.cmd.push(function() { googletag.display('div-gpt-ad-1388181177156-3'); });
</script></div>
<!-- HOME_CORP_LOGO_5 -->
<div id="div-gpt-ad-1388181177156-4" class="sponsors_google_ads_even"><script type="text/javascript">
googletag.cmd.push(function() { googletag.display('div-gpt-ad-1388181177156-4'); });
</script></div>
<!-- HOME_CORP_LOGO_6 -->
<div id="div-gpt-ad-1388181177156-5" class="sponsors_google_ads_odd"><script type="text/javascript">
googletag.cmd.push(function() { googletag.display('div-gpt-ad-1388181177156-5'); });
</script></div>
</aside>
<div class="grid_12 alpha omega" itemprop="publisher" itemscope="" itemtype="http://schema.org/CollegeOrUniversity">
<h4 class="footer" style="border-top: thin solid #d5c9ba; padding-top: 10px; margin-bottom: 10px;">About <span itemprop="name">MIT OpenCourseWare</span></h4>
<p style="color: #999; font-size: 1em; line-height: 1.5em; margin-top: 10px;" itemprop="description">MIT
OpenCourseWare makes the materials used in the teaching of almost all
of MIT's subjects available on the Web, free of charge. With more than
2,400 courses available, OCW is delivering on the promise of open
sharing of knowledge. <a href="http://ocw.mit.edu/about/">Learn more »</a></p>
</div>
<div id="foot-copy" class="grid_12 alpha omega" style="border-top: none;"><a href="http://web.mit.edu/"><img src="sitemap_files/logo_mit.png" alt="Massachusetts Institute of Technology logo and name." style="width: 195; height: 44;"></a><a href="http://odl.mit.edu/"><img src="sitemap_files/logo_odl.png" alt="MIT Office of Digital Learning logo and name." style="width: 289; height: 54; vertical-align: top;"></a><a href="http://www.oeconsortium.org/"><img src="sitemap_files/logo_oec.png" alt="Open Education Consortium logo." style="width: 219px; height: 59px; vertical-align: top;"></a><a rel="license" itemprop="useRightsUrl" href="http://creativecommons.org/licenses/by-nc-sa/4.0/"><img src="sitemap_files/cc_by-nc-sa.png" alt="Creative Commons logo with terms BY-NC-SA." style="width: 126px; height: 44px; margin-right: 0; margin-left: 13px;"></a>
<p class="copyright">© 2001–2019<br> Massachusetts Institute of Technology</p>
<p style="font-size: 0.9em; margin-bottom: 15px;">Your use of the MIT OpenCourseWare site and materials is subject to our <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" rel="license">Creative Commons License</a> and other <a href="https://ocw.mit.edu/terms/" rel="cc:morePermissions">terms of use</a>.</p>
</div>
</div></div>
</div>
</div> <!-- bottom grid end -->
</footer><!-- footer bottom end -->
<table style="width: 147px; display: none; top: 134px; position: absolute; left: 993px;" class="gstl_50 gssb_c" cellspacing="0" cellpadding="0"><tbody><tr><td class="gssb_f"></td><td class="gssb_e" style="width: 100%;"></td></tr></tbody></table></body></html>