There has been a growing interest, especially in the last decade, in computational modeling of processes by which related languages -- or language families -- evolve over time. The problems include determining: - relationships among languages within a language family, - rules of correspondence among the sounds in the related languages, - the structure of the family tree, - the word-forms in the internal nodes in the tree, including those in the root -- the ancestral proto-language, from which the observed languages have evolved. Traditionally, over several centuries, linguists have been devising theories of linguistic evolution through manual analysis based on observed data, which in most cases, are limited to records from only the last few hundred years. By contrast, the the family trees are believed to have branched out many thousands of years ago. We will study current computational approaches to these problems. Prerequisites: courses on information theory and probabilistic models.