In your header.php
check if you are an the front page:
if ( is_front_page() or is_home() )
{
# your slider code here
}
else
{
# your regular code
}
The front page is the top page, eg. http://example.com/
. The home page is the page for your blog posts. That can be the same as your front page or a custom page like http://example.com/news/
. See Settings/Reading in WP admin.