The mathematical neurobiology course provides insight to the elements of neurophysiology and neuroanatomy for the development of quantitative models of nerve cell and brain phenomena and to develop and analyze several different mathematical models in neurobiology. Topics include difference equations, dynamical systems theory, ordinary differential equations and partial differential equations, linear membrane and cable theory, Rall's equivalent cylinder model of the nerve cell, determination of active membrane properties using linear theory, action potentials including Hodgkin-Huxley (HH) model and FitzHugh-Nagumo (FHN) model, asymptotic and computational determination of the action potential using the FHN equations