Include a higher version of jQuery in your Drupal 7 theme using hook_js_alter in template.php

higher_jquery_in_theme.php

/**
 * Implements hook_js_alter().
 *
 * Replace the system-provided jquery with our own higher version for the theme.
 */
function my_theme_js_alter(&$javascript) {

  // Go through and replace the jquery that is being provided by the system
  // with out own higher version for the theme.  We use an array
  // here in case the jquery update module is/is not being used.
  $original_jquery = array(
    'misc/jquery.js',
  );

  // Sniff out jquery update jquery.
  if (module_exists('jquery_update') && preg_match('/([^ ]+\/jquery_update\/[^ ]+?) /', implode(' ', array_keys($javascript)), $matches)) {
    $original_jquery[] = $matches[1];
  }

  $theme_js = array(
    'data' => path_to_theme() . '/js/jquery-1.11.1.min.js',
    'version' => '1.11.1',
  );
  foreach ($original_jquery as $key) {
    if (isset($javascript[$key])) {
      $javascript[$key] = $theme_js + $javascript[$key];
    }
  }
}