Your theme doesn’t necessarily include all these template files.
It might just use index.php to serve the single page template as well as listings (category, date, author, tag, etc).
The articles Theme Development and Template Hierarchy from the codex should get you on the right road with theme development.
If you add a single.php file, WP will use that instead of index.php for example.
‘product-category.php’ (as @ialocin rightly says) is almost certainly a WooCommerce template file and the way you override that is different. They have good docs: http://docs.woothemes.com/document/template-structure/
The general principle is the same – you override the default template (index.php) with successively more-specific templates.
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