If you're interested in learning all about past civilizations, check out Museum of Archaeology and Ethnography of Siberia at TSU. Study its unearthed objects and gain an insight into the customs and beliefs of people from long ago.
You're spoiled for sightseeing choice when in Tomsk. Museum of Archaeology and Ethnography of Siberia at TSU is a good place to begin here, but there are numerous other worthy places to consider. NKVD Memorial Museum of Political Repression, Tomsk State University, and Skomorokh Puppet and Actor Theater are not far from the exhibition of human history and will fill in your day nicely.