diff --git a/core/modules/update/update.api.php b/core/modules/update/update.api.php
index 79293ae..6233e40 100644
--- a/core/modules/update/update.api.php
+++ b/core/modules/update/update.api.php
@@ -28,7 +28,7 @@
  *   includes all the metadata documented in the comments below for each project
  *   (either module or theme) that is currently enabled. The array is initially
  *   populated inside update_get_projects() with the help of
- *   _update_process_info_list(), so look there for examples of how to populate
+ *   update_process_info_list(), so look there for examples of how to populate
  *   the array with real values.
  *
  * @see update_get_projects()
diff --git a/core/modules/update/update.compare.inc b/core/modules/update/update.compare.inc
index 3662932..e2db9c5 100644
--- a/core/modules/update/update.compare.inc
+++ b/core/modules/update/update.compare.inc
@@ -101,7 +101,8 @@ function update_get_projects() {
  *   Boolean that controls what status (enabled or disabled) to process out of
  *   the $list and add to the $projects array.
  * @param $additional_whitelist
- *   Array of additional elements to be collected from the .info file.
+ *   (optional) Array of additional elements to be collected from the .info
+ *   file. Defaults to array().
  *
  * @see update_get_projects()
  */
@@ -807,7 +808,8 @@ function update_project_cache($cid) {
  * @param array $info
  *   Array of .info file data as returned by drupal_parse_info_file().
  * @param $additional_whitelist
- *   Array of additional elements to be collected from the .info file.
+ *   (optional) Array of additional elements to be collected from the .info
+ *   file. Defaults to array().
  *
  * @return
  *   Array of .info file data we need for the update manager.