I would like to reiterate that this is not a course in Numerical Analysis. Courses in Numerical Analysis are taught by the Department of Mathematics, see, for example, M471 (Numerical Analysis I), M472 (Numerical Analysis II), M568 (Time Series Analysis), M571 (Analysis of Numerical Methods I), M572 (Analysis of Numerical Methods II), M671 (Numerical Treatment of Differential and Integral Equations I), M672 (Numerical Treatment of Differential and Integral Equations II), M771 (Selected Topics in Numerical Analysis I), and M772 (Selected Topics in Numerical Analysis II). Neither is this a course in Computational Physics. This subject is taught by the Department of Physics, see, for example P410 (Computing Applications in Physics), P609 (Computational Physics), and P700 (Topics Course: Monte Carlo Methods in Physics). This is not a course in Computational Chemistry, Geophysics, Optics and Engineering either. All those topics are covered by respective schools.
Selected topics of the Syllabus that are covered by those courses, will not be covered either by this course, or by P573 - unless they're needed to illustrate a particular point. See, for example, our discussion of Spectral Method and incomplete Euler gamma functions in P573.