Math 385/685 Summer 2014 (Numerical Analysis)
The syllabus.
Homework 1 solutions.
Newton's Method vs. Bisection Method code.
Newton's Method vs. Secant Method code.
Homework 1 code
Eigenvalue homework problem.
A web-scraped comparison of Mathematica and other languages, written in Mathematica.
Minima finding notes: gradient descent & Newton's method.
Minima finding visuals page (3D components require Wolfram CDF Player).
Minima finding code. 3D code.
Programming exam. 385 is the first two pages, 685 the second two.
Programming exam grades correlation matrix and histograms: 385 and 685.
Runge's phenomenon (the local control problem).
Midterm exam. 385 is the first two pages, 685 the second two.
Midterm exam grades correlation matrix and histogram: 385 and 685.
In-class examples: Vandermonde interpolation, Lagrange interpolation, cellular membrane diffusion.
A demonstration of the 1-D Heat equation solution.
Forward and backwards Euler method conditioning properties.
A comparison of different 1st order ODE approximations.
Final exam. 385 is the first two pages, 685 the second two.