2017-2018 Materials

Initial Setup
Installation Guide (for laptop users)
SSH Protocols for the lab machines
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

*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
The Drazin Inverse
Iterative Solvers

 

MATH 321: VOLUME 2

*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
Filtering and Convolution

Wavelets
Polynomial Interpolation
Gaussian Quadrature
One-dimensional Optimization
Newton and Quasi-Newton Optimization Methods

Gradient Descent Optimization Methods
Simplex (two weeks)
Convex Optimization with CVXOPT
Interior Point 1: Linear Programs
Interior Point 2: Quadratic Programs
Value Function Iteration
Policy Function Iteration

 

MATH 403: VOLUME 3

**Unix Shell 1
**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 Sampling
Gibbs Sampling and LDA
PCA and LSI
Learning Scikit-learn
K-Means Clustering
Speech Recognition
Kalman Filter
ARMA

 

MATH 437: VOLUME 4

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
MWR Pseudospectral 2
Solitons
River Crossing
Inverse Problems
Total Variation
Inverted Pendulum
HIV