ME211 is a core undergraduate offering in statics and mechanics of materials.

Statics: Vector representation of forces and moments; free-body diagrams; equilibrium in two and three dimensions; determination of reactions at supports and internal reactions; friction; two-force members; analysis of pin-jointed structures; resultants of distributed loads and determination of centroids; internal forces (shear force, axial force, bending moment and torque).

Mechanics of Materials: Concept of stress and strain; definition of strain in terms of displacement; generalized Hooke's law including thermal expansion. Engineering applications: axial loads; torsion of circular rods and tubes; bending stresses in beams; determination of centroidal second moments of area; eccentric loading; thin-walled vessels under internal pressure; combined loading; coordinate transformation of stress and strain; applications to failure criteria; strain gage rosettes; multiaxial stress; deflections of beams due to bending; use of discontinuity functions.

ME511 is an introductory graduate (or advanced undergraduate) offering in the theory of deformations of objects. We cover vector and tensor quantities, kinematics (motion and deformation), kinetics (applied and internal forces), conservation laws, constitutive laws (material properties), simple fluid mechanics, and boundary value problems in linear and finite elasticity and viscoelasticity.

I personally really enjoy teaching this course because my soft and bio-materials characterization research is based in the fundamental principles of continuum mechanics.