Differential Equations for Biotech and Engineering Chemistry

Module 1 (6.5 credits): Introduction to differential equations In the module, first-order ordinary differential equations (separable equations and integrating factor) and second-order ordinary differential equations (with constant coefficients and forcing functions) are dealt with. In addition, the phase plane, qualitative analyses, and the Laplace transform are included. Furthermore, the solution of linear systems of ordinary differential equations is studied using matrix methods and linearization with a focus on understanding system dynamics. Finally, an introduction to the solution of partial differential equations with separation of variables and Fourier series is given. Module 2 (1 credit): Computer lab Lab that illustrates the concepts and demonstrates different numerical methods for solving ordinary differential equations of the types included in the course. In connection with the computer laboratory, an introduction to software for the numerical solution of differential equations is given.