To review the methodology for the analytical modeling of physical systems with emphasis on chemical engineering applications. The course will cover the following topics: Analysis and Modelling of Physical Systems Review of ODEs'; Mass Balance and Continuity Equation; Species Balance, Stoichiometry and Reaction Kinetics; Force Balances and Mechanics of Materials; Fluid Mechanics and Navier-Stokes Equations; Flow Through Porous Media; Conservation of Mechanical Energy; First Law of Thermodynamics and Thermal Energy Balance; Heat Transfer, Fourier Law, and Equation of Energy; Mass Transfer, Fick's Law, and Species Continuity Equation; Probabilistic Modelling.