JSFiddle - React, Tailwind, and code Playground
HTML
<script src="//netdna.bootstrapcdn.com/twitter-bootstrap/2.3.1/js/bootstrap.min.js"></script>
<link rel="stylesheet" href="//netdna.bootstrapcdn.com/twitter-bootstrap/2.3.1/css/bootstrap-combined.min.css">
<div id="myCarousel" class="carousel slide text-center" data-ride="carousel">
<ol class="carousel-indicators">
<li data-target="#myCarousel" data-slide-to="0" class="active"></li>
<li data-target="#myCarousel" data-slide-to="1"></li>
</ol>
<div class="carousel-inner" role="listbox">
<div class="item active">
<h4>A mind-bending lecture on applied philosophy by Oxford lecturer Ravi Zacharias.</h4>
<br>
<span class="font-normal">youtube/watch?v=3ZZaoavCsYE</span>
</div>
<div class="item">
<h4>Director of the Human Genome Project discusses the greatest mystery of life</h4>
<br>
<span class="font-normal">youtube/watch?v=EGu_VtbpWhE</span>
</div>
</div>
<a href="" class="left carousel-control" href="#myCarousel" role="button" data-slide="prev">
<span class="glyphicon glyphicon-chevron-left" aria-hidden="true"></span>
<span class="sr-only">«</span>
</a>
<a href="" class="right carousel-control" href="#myCarousel" role="button" data-slide="next">
<span class="glyphicon glyphicon-chevron-right" aria-hidden="true"></span>
<span class="sr-only">»</span>
</a>
</div><!-- #myCarousel -->
CSS
body{background:#ccc;}
div{position:relative;}
.carousel-indicators{border-color:#53636f;top:100px;}
.carousel-inner{margin-top:30px;}
.carousel-control{position:relative;top:50px;}
a.left{float:left;text-align:left;font-size:2.3rem;}
a.right{float:right;text-align:right;font-size:2.3rem;}
JavaScript
$('.carousel-control').click(function(e){
e.preventDefault();
$('#myCarousel').carousel( $(this).data() );
});