I was in need to synchronize two folders on two separate servers, one is a Windows server, and the other is a Linux server. I created this short and sweet function to help me do this. PLEASE NOTICE: This will not copy folders, and probably will fail if remote folder contains anything else than files.
function sync_folders($host, $port, $username, $password, $remote_dir, $local_dir, $passive_mode = true) {
    $conn_id = ftp_connect($host, $port);
    if (!$conn_id) return false; # fail to connect
    if (!ftp_login($conn_id, $username, $password)) { ftp_close($conn_id); return false; }  # fail to login
    ftp_pasv($conn_id, $passive_mode);
    if (!ftp_chdir($conn_id, $remote_dir)) { ftp_close($conn_id); return false; } # fail to change dir
    if (substr($local_dir, -1) != '/') $local_dir .= '/';
    $list = ftp_nlist($conn_id, '.');
    sort($list);
    foreach ($list as $file) {
        if (!file_exists($local_dir . $file)) {
            $is_copied = ftp_get($conn_id, $local_dir . $file, $file, FTP_BINARY);
        }
    }
    ftp_close($conn_id);
    return true;
}