Jumpy object movement and camera movement

Hi,

I am a beginner at Unity and am currently trying to create a simple platformer that works in only the x and y axis. I have my camera following the player object in the scene (just a simple capsule at the moment with a character controller attached). When I move the player object (the capsule) it has quite visibly jarring stutter on screen, this also affect the camera making it a little jumpy too. Here is the code

Player.js

 var health = 100;
 var mana = 100;
 var moveSpeed = 5;
 var jumpSpeed = 10;
 var gravity = 20.0;
 
 private var moveDir : Vector3 = Vector3.zero;
 
 function Start () 
 {
 
 }
 
 function Update () 
 {
     var controller : CharacterController = GetComponent(CharacterController);
     
     // calculate movement on the x-axis
     moveDir.x = Input.GetAxis("Horizontal") * moveSpeed;
     moveDir = transform.TransformDirection(moveDir);
 
     // set the jumpHeight when the Jump key is pressed
     if(controller.isGrounded)
     {
         if(Input.GetButtonDown("Jump")) 
         {
             moveDir.y = jumpSpeed;
         }
 
     }
     
     // calculate movement on the y-axis with gravity applied
     moveDir.y -= gravity * Time.deltaTime;
     controller.Move(moveDir * Time.deltaTime);
 }

PlayerCamera.js

 var target : Transform;
 
 function Start () 
 {
 
 }
 
 function Update () 
 {
     transform.LookAt(target);
     transform.position.x = target.position.x;
     transform.position.y = target.position.y;
 }