University at Buffalo 3 credits Chemical and Biological Engineering
Mathematical and computational techniques of particular interest to chemical engineers. Essential multivariable calculus and coordinate systems. Legendre transforms. Analytical solution of nth-order linear ODEs. Matrix eigenvalue problems, analytical solution of systems of 1st-order linear ODEs, stability of equilibria. Fourier series, method of separation of variables for solving linear elliptic and parabolic PDEs. Programming with Matlab. Numerical solution of systems of nonlinear 1st-order ODEs, as well as linear elliptic, quasilinear parabolic and other PDEs. Applications to model problems describing diagnostic flow cells and controlled drug release.
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