• Week 1
  • Tuesday: Introduction
    • Fab Futures
      • fab labs
      • Academany
      • vocational skills
      • illiberal arts
    • Examples
      • climate change
      • energy literacy
    • Taxonomy
      • interpolation, extrapolation
      • parametric, non-parametric
      • supervised, unsupervised
      • offline, online
      • generative
    • Resources
      • class interactive notebooks
      • The Nature of Mathematical Modeling
      • Numerical Recipes
    • Assignment
      • Select a data set to analyze
  • Thursday: Tools Survey
    • Programming
      • Python
      • Jupyter
      • Colab
    • Math
      • NumPy
      • Jax
      • PyTorch
    • Visualization
      • Matplotlib
      • Plotly
      • D3
    • Data
      • flat files
      • SQL
    • Assignment
      • Plot your data set
• Week 2
  • Tuesday: Fitting
    • Functions
      • linear
        • scalar
        • matrix
      • nonlinear
        • polynomial
    • Linear least squares
      • Singular Value Decomposition (SVD)
    • Nonlinear least squares
      • Levenberg-Marquardt
    • Assignment
      • Fit a function to your data
  • Thursday: Neural Networks
    • Breadth vs depth
    • Back propagation
    • Early stopping
    • Autoencoders
    • Assignment
      • Fit a neural network to your data
• Week 3
  • Tuesday: Probability
    • Errors
      • model estimation
      • model mismatch
    • Probability distributions
      • unconditional
      • conditional
    • Statistics
      • variance
      • covariance
      • correlation
    • Common distributions
      • Gaussian
      • long tail
      • multi-modal
    • Frequentist vs Bayesian
      • priors
      • regularization
    • Assignment
      • Investigate the probability distribution of your data
  • Thursday: Inference
    • Clustering
      • k-means
      • Voronoi tesselation
      • hard, soft boundaries
    • Density Estimation
      • mixture models
      • cluster-weighted modeling
    • Assignment
      • Fit a probability distribution to your data
• Week 4
  • Tuesday: Transforms
    • Fast Fourier Transform (FFT)
    • Wavelets
    • Principal Components Analysis (PCA)
    • Assignment
      • Document your analysis of your data
  • Thursday
    • Site Presentations and Discussion