Homework 1 Computational Methods

Summary

Part A: Starting from the basic principle of why the approximation error should be perpendicular to the basis vectors, derive the ... Generate the surface coordinates of a helical pipe of cross-sectional radius 0.5 with a central helical curve defined by the ... Using closure, explain and code a higher order function that returns functions that calculate the Frenet-Serret T=dr/ds (tangent) ... Explain and code a function that calculutes a surface point a distance r=0.5 from the central helix for arbitrary angle theta between ... Vectorize the function in Part 3, and generate a plot of the surface of the helical pipe of radius 0.5 that follows the helical curve ... Numerically demonstrate the central limit theorem. In this video I will make some corrections to my original submission for part 2. Part 4: Vectorize the function in Part 3, and generate a plot of the surface of the helical pipe of radius 0.5 that follows the helical ... Part 2: Using closure, explain and code a higher order function that returns functions that calculate the Frenet-Serret T=dr/ds ... Part 3: Explain and code a function that calculates a surface point a distance r=0.5 from the central helix for arbitrary angle theta ...