Fundamentals of nonlinear mechanics
Background, notation, tensors
Kinematics 1, Eulerian and Lagrangian coordinates, Green-Lagrange and Almansi strain
Kinematics 2, Small deformation theory, stretch, polar decomposition
Kinematics 3, Small and large compared, rigid body motion, velocity gradient

Stress and constitutive models for engineering materials
Stress 1, Engineering and Cauchy stress, Piola Kirchhoff
Stress 2, Meaning of PK stress, incremental and rate approach
Constitutive models 1, Background, terminology and elasticity constitutive models
Constitutive models 2, Elastoplastic model, incremental theories, numerical approach constitutive models

Summary of formulas
Convervation laws, incremental decomposition and conjugate measures

Generalities and fun
Computational aspects of stress wave propagation problems
Dispersion in time and space due to finite element modelling
Pitfalls of FE computing pitfalls of FE
Examples - academic:
- Fitting experimental data, 1D stretch experiment with rubber
- 1D rod element for large strains
Examples - more practical:
- Numerical modelling of axially impacted rod
- Rock drilling efficiency revisited
Final joke: 
Polution-free energy production by a proper misuse of finite elements