MTH 271 Spring 2020¶
Mathematical computing with data¶
Instructor: Jay Gopalakrishnan
March 30 - June 5, 2020
Contents¶
- Syllabus
- A 2014 video by SIAM. What is data science?
- Second of 44 Microsoft videos, 2019. Why python?
- Notes for starting and setting up
Activity units¶
- 01 Overview of some tools using COVID-19 data
- 02 Interacting with your python installation
- 03 Working with git
- 04 Conversion table
- 05 Approximating derivatives
- 06 Genome of SARS-CoV-2 virus
- 07 Fibonacci primes
- 08 Numpy blitz
- 09 The SEIR model of infectious diseases
- 10 Singular value decomposition
- 11 Bikes on Tilikum Crossing
- 12 Visualizing geospatial data
- 13 Gambler's ruin
- 14 Google's PageRank
- 15 Supervised learning
- 16 Unsupervised learning
- 17 Latent semantic analysis
In class exercises¶
- Power sum
- Graph functions
- Argument passing
- Piecewise functions
- Row swap
- Averaging matrix
- Differentiation matrix
- Pairwise differences
- Hausdorff distance
- $k$-nearest neighbors
- Predator-prey model
- Column space
- Null space
- Pandas from dictionaries
- Iris flowers
- Stock prices
- Passengers on the Titanic
- Animate functions
- Insurance company
- Probabilities on small graphs
- Ehrenfest urns
- Power method for large graphs
- Google's toy graph
- Atmospheric carbon dioxide
- Ovarian cancer data
- Eigenfaces
- Word vectors
Take home assignments¶
- Bisection
- Rise of CO$_2$ in the atmosphere
- COVID-19 cases in the west coast
- World map of COVID-19 cases
- Neighbor's color
Download everything¶
Author: Jay Gopalakrishnan
License: CC-BY-SA. ©2020