Explore vectorized integration and the Lorenz equation in this 48-minute lecture from the Engineering Mathematics course at the University of Washington. Delve into topics such as function handles, chaos, exponential divergence, turbulence, gravity, and uncertainty in initial conditions. Learn about insect locomotion and Phil Holmes' work. Gain practical skills in MATLAB, including simulating the Lorenz system, creating mesh grids, visualizing data, and optimizing code through vectorized operations. Access accompanying MATLAB code for hands-on practice and visit the course website for additional resources.