2017-2018 Materials

NOTE: If clicking the link doesn’t show the PDF, right click the link and select “save link as” (or similar) to download the original PDF, which you can then view locally.

 

Initial Setup
Installation Guide (for laptop users)
A good talk that reviews Python basics:
https://www.youtube.com/watch?v=lyDLAutA88s (start at 7:04)

* = Python Essentials
** = Data Science Essentials

MATH 345: VOLUME 1 (Tuesdays)

*Introduction to Python
*Introduction to NumPy (Numpy Visual Guide)
*Introduction to Matplotlib
Linear Transformations
Linear Systems
*Unit Testing
QR Decomposition
Least Squares and Computing Eigenvalues
Image Segmentation
SVD and Image Compression
Facial Recognition
*Data Visualization

*Profiling
*SymPy
Differentiation
Newton’s Method
Conditioning and Stability
Monte Carlo Integration
Visualizing Complex-valued Functions
The PageRank Algorithm
**Unix Shell 1
**Unix Shell 2
Blazin’ Drazin
Iterative Solvers

 

MATH 321: VOLUME 2 (Thursdays)

*The Standard Library
*Object Oriented Programming
*Exceptions and File I/O
Linked Lists

Trees
Nearest Neighbor
Breadth-first Search
Markov Chains
**SQL 1
**SQL 2
Fourier Transform (bring headphones to class!)
Filtering and Convolution

Wavelets
Polynomial Interpolation
Gaussian Quadrature
One-dimensional Optimization
Newton and Quasi-Newton Optimization
Gradient-based Optimization
Convex Optimization with CVXOPT
Simplex (two weeks)
Interior Point 1: Linear Optimization
Interior Point 2: Quadratic Optimization
Value Function Iteration
Policy Function Iteration

 

MATH 403: VOLUME 3 (Thursdays)

**Unix Shell 1 (review only, not assigned)
**Unix Shell 2
**Regular Expressions
**Web Technologies
**Web Scraping 1
**Web Scraping 2
**Pandas 1: Introduction
**Pandas 2: Plotting
**Pandas 3: Grouping
**Pandas 4: Time Series
**Mongo DB

**Parallel Computing 1: iPyParallel
**Parallel Computing 2: MPI
Metropolis-Hasting
Gibbs Sampling
More Fun Machine Learning Stuff

 

MATH 437: VOLUME 4 (Tuesdays)

Weightloss 
IVP
Shooting Method
SIR
Lorenz Equations
Hysteresis 
Finite Difference Method
Heat Flow
Anisotropic Diffusion
Wave Equation
Poisson Equation

——————-Winter Semester———————
Finite Volume Method
Finite Element Method
MWR Pseudospectral 1