Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Internal Heat Transfer EffectsCovers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Signal RepresentationsCovers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.
Structural Mechanics FundamentalsIntroduces the fundamentals of structural mechanics, covering equilibrium, boundary conditions, free-body diagrams, and constraints.
Green Functions: Theory and ApplicationsExplores the theory and applications of Green functions in classical electrodynamics, emphasizing the importance of choosing the right function based on boundary conditions.