1) Analyze and apply fundamental numerical methods, with an emphasis on the finite element formulation, to solve boundary value problems in geomechanics.

2) Explain the theory and application of various constitutive laws for geotechnical materials, including linear elastic, perfectly plastic, and nonlinear elasto-plastic models based on Critical State Soil Mechanics.

3) Develop a foundational understanding of plasticity theory, including yield criteria (e.g., Mohr-Coulomb), plastic potential, flow rules, and hardening laws.

4) Implement a plasticity theory-based finite element code (e.g., in Mathcad) to model and analyze the behavior of geotechnical materials.

5) Critically evaluate the results of numerical models by comparing predictions with actual material response and assessing the advantages and limitations of different constitutive models.

6) Formulate and solve practical geotechnical problems using a finite element computer program and interpret the results to inform engineering decisions.