This course aims to introduce
1. notion of continuum and the length scales for the applicability of continuum mechanics,
2. introduce vector and tensor algebra and equip them with skills for analysis of vector and tensor valued functions, e.g. differentiation and integration,
3. introduce basic kinematics for a deforming body and various deformation measures and their rates,
4. concept of stress and various stress measures as work conjugates of deformation measures,
5. balance laws which govern the motion of a deformable continuum. Lagrangian and
Eulerian description,
6. mathematical restrictions to constitutive theories, e.g. stress strain relationship, and
7. the notion of hyperelastic materials and their numerical implementation.