I have a course table that has 3067 records, create a search engine to filter by courses my problem is based when I put the word "anat" I get all the options (anatomy, human anatomy, clinical anatomy, ect), but when I place calculation, algebra or management (I also put cal, calc, alg, ges) I do not get any course to select the truth I have already tried several options but none of them gives me solutions, maybe I have problems in the query
<!DOCTYPE html>
<html>
<head>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/3.1.0/jquery.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/bootstrap-3-typeahead/4.0.2/bootstrap3-typeahead.min.js"></script>
<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.6/css/bootstrap.min.css" />
</head>
<body>
<br /><br />
<div class="container" style="width:600px;">
<h2 align="center">Autocomplete</h2>
<br /><br />
<label>Search Cursos</label>
<input type="text" name="cursos" id="cursos" class="form-control input-lg" autocomplete="off" placeholder="Ingrese nombre del curso" />
</div>
</body>
</html>
<script>
$(document).ready(function(){
$('#cursos').typeahead({
source: function(query, result)
{
$.ajax({
url:"fetch.php",
method:"POST",
data:{query:query},
dataType:"json",
success:function(data)
{
result($.map(data, function(item){
return item;
}));
}
})
}
});
});
</script>
<?php
$connect = mysqli_connect("localhost", "root", "", "encuesta1");
$request = mysqli_real_escape_string($connect, $_POST["query"]);
$query = "
SELECT * FROM cursos WHERE nombre LIKE '%".$request."%'
";
$result = mysqli_query($connect, $query);
$data = array();
if(mysqli_num_rows($result) > 0)
{
while($row = mysqli_fetch_assoc($result))
{
$data[] = $row["nombre"];
}
echo json_encode($data);
}
?> 
I attach the code if someone can help me or guide me, it would be very helpful.