  These are the lecture notes of a short course on the homogenization method
for topology optimization of structures, given by Gr\'egoire Allaire, during
the "GSIS International Summer School 2018" at Tohoku University (Sendai,
Japan). The goal of this course is to review the necessary mathematical tools
of homogenization theory and apply them to topology optimization of mechanical
structures. The ultimate application, targeted in this course, is the topology
optimization of structures built with lattice materials. Practical and
numerical exercises are given, based on the finite element free software
FreeFem++.
