Course Introduction
《Differential Equations》 

Differential Equation is an immediateconnected course of Calculus and Linear Algebra, as its content consists of various applications of these basic mathematics. Differential Equation is originated from Newtonian mechanics and celestial mechanics, and still plays an important role in modern physics including quantum mechanics. On the other hand, mathematical modeling has prevailed in neural science, infectious diseases, gene networks, circuit theory, financial engineering, and traffic flows, etc. Although nonlinear differential equations can not be solved into solutions of exact forms in general, it is still feasible to apply various mathematical ideas and concepts such as analysis and geometry in understanding at least a certain part of the dynamics. Moreover, combining numerical computation with geometric delineation of or phase portraits enhances the investigation of differential equations.
