Unexpected token: io.listen(server)

I am new to node.js. Following some of the tutorials, I created a file named server.js and put this code in that file:

var http = require("http");
var url = require('url');
var fs = require('fs');

var server = http.createServer(function(request, response){
    console.log('Connection');
    var path = url.parse(request.url).pathname;
 console.log(path);
    switch(path){
        case '/':
            response.writeHead(200, {'Content-Type': 'text/html'});
            response.write('hello world');
            break;
        case '/socket.html':
    response.writeHead(200, {'Content-Type': 'text/html'});
            response.write('Inside hello world');
            fs.readFile(__dirname + path, function(error, data){
                if (error){
                    response.writeHead(404);
                    response.write("opps this doesn't exist - 403");
                }
                else{
                    response.writeHead(200, {"Content-Type": "text/html"});
                    response.write(data, "utf8");
                }
            });
            break;
        default:
            response.writeHead(404);
            response.write("opps this doesn't exist - 405");
            break;
    }
    response.end();
});

server.listen(8001);

var io.listen(server);

Then I run this using the command: node C:\Users\user\Desktop\server.js and I get this error:

C:\Users\user\Desktop\server.js:38
var io.listen(server);
  ^
SyntaxError: Unexpected token .
at Module._compile (module.js:439:25)
at Object.Module._extensions..js (module.js:474:10)
at Module.load (module.js:356:32)
at Function.Module._load (module.js:312:12)
at Function.Module.runMain (module.js:497:10)
at startup (node.js:119:16)
at node.js:906:3

This line is causing the error:

var io.listen(server);

Initially I thought of installing the npm package socket.io hence I tried this:

npm install --save socket.io

But after this also I am getting the same error:

C:\Users\user\Desktop\server.js:38
var io.listen(server);
  ^
SyntaxError: Unexpected token .
at Module._compile (module.js:439:25)
at Object.Module._extensions..js (module.js:474:10)
at Module.load (module.js:356:32)
at Function.Module._load (module.js:312:12)
at Function.Module.runMain (module.js:497:10)
at startup (node.js:119:16)
at node.js:906:3

Please advice how to resolve this error.