You need to create your custom validation method
$.validator.addMethod('dimention', function(value, element, param) {
    if(element.files.length == 0){
        return true; <--- check here if file not added than return true for not check file dimention
    }
    var width = $(element).data('imageWidth');
    var height = $(element).data('imageHeight');
    if(width == param[0] && height == param[1]){
        return true;
    }else{
        return false;
    }
},'Please upload an image with 1170 x 300 pixels dimension');
And you need to set parameter imageWidth and imageHeight at image change like this
// files is id of your input
<input type="file" id="files" name="name" />
$('#files').change(function() {
    $('#files').removeData('imageWidth');
    $('#files').removeData('imageHeight');
    var file = this.files[0];
    var tmpImg = new Image();
    tmpImg.src=window.URL.createObjectURL( file ); 
    tmpImg.onload = function() {
        width = tmpImg.naturalWidth,
        height = tmpImg.naturalHeight;
        $('#files').data('imageWidth', width);
        $('#files').data('imageHeight', height);
    }
});
and call like this
rules: {
    banner: {
        dimention:[1170,300]
    }
}
Working fiddle link fiddle link