DayPilot is a standalone library and it doesn't require jQuery.
However, it works nice with jQuery:
DayPilot<script src="scripts/jquery-2.1.1.min.js" type="text/javascript"></script>
<script src="scripts/daypilot-all.min.js" type="text/javascript"></script>
<div id="dp"></div>
<script type="text/javascript">
var dp = $("#dp").daypilotScheduler({
cellWidth: 40,
eventHeight: 25,
headerHeight: 25,
startDate: new DayPilot.Date("2013-03-25").firstDayOfMonth(),
cellGroupBy: "Month",
days: 31,
cellDuration: 1440, // one day
resources: [
{ name: "Room A", id: "A" },
{ name: "Room B", id: "B" },
{ name: "Room C", id: "C" }
]
});
</script>