In this homework, you will use Numpy, Scipy and Matplotlib to model the bacterial growth. This should serve as a good assessment of what you understand at this point in the course. Make sure to use Slack and help room hours if you run into issues! As you have seen in the last homework, the study of bacteria can be very complicated. In order to deepen your knowledge in this field, you now want to initiate yourself to the modeling of bacterial growth based on ordinary differential equations (ODES). As a first step, you will focus on the modeling of bacterial growth in a liquid environment, where aquatic bacteria such as Vibrio spp. can be found. More precisely, you are interested in a Monod kinetics growth model given by HI CN dCN CM = CM dt K, + CN M2 CN CM dt K + CN where Cm is the concentration of bacteria per unit of volume, Cn is the concentration of nutrients per unit of volume, ui is the maximum specific growth rate, HCN u2 > 0 considers the effect of the yield rate and K, is the concentration of nutrients where the specific growth rate, given by K, +CN has half its maximum value.