Demos

Demos

Demo 1: Intro

An Introduction to Numerical Methods

Demo 2: Python

Python introduction.

Python tutorial

Additional resources for the python tutorial offered by TAs (Sept 3 and 4)

In-class activity 1: Python

Using python to create music

Demo 3: Floating Point

Floating point storage, arithmetic, rounding and more!

Demo 4: Big-O notation and convergence plots

Obtaining cost and complexity from plots

In-class activity 2: Floating Point

Using smaller storage systems and more

Demo 5: Taylor Series

Approximating functions using Taylor Series

Demo 6: Monte Carlo

Performing numerical experiments using Monte Carlo methods.

In-class activity 3: Monte Carlo

Using Monte Carlo methods to predict stock prices

Demo 7: Vectors and Matrices

Linear transformations, norms and sparse matrices.

Demo 8: Linear Systems

Linear system of equations and matrix conditioning

In-class activity 4: Linear system of equations

Solving ODEs and PDEs using interpolation methods

Demo 9: Eigenvalues

Power iteration algorithms

In-class activity 5: Markov chains

A nice application of eigenvalue problems!

Demo 10: Nonlinear Equations

Basic algorithms to solve nonlinear system of equations

In-class activity 6: Nonlinear problems

Using different methods to find roots

Demo 11: Optimization

Solving 1d and Nd optimization problems

In-class activity 7: Optimization

Solving optimization with steepest descent methods

Demo 12: Singular Value Decomposition

Brief introduction to SVD

Demo 13: Linear Least Squares

Data fitting with least squares

Demo 14: PCA

Brief intro to principal components analysis

In-class activity 8: Linear Least Squares

Using least squares to choose your starting Fantasy team

In-class activity 9: Principal Component Analysis

Using PCA in soccer data

In-class activity 10: Intro to Machine Learning

Using sklearn to solve simple classification problems

help(object_name)

import numpy
help(numpy.array)