Topics

• Optimization 0
  Minimizing functions with and without constraints, local and global.
• Monte Carlo and random numbers 0
  Random number generation, sampling, Monte Carlo integration and simulation.
• Machine learning 0
  Regression, classification, and neural networks applied to scientific data.
• Visualization 0
  Figures and animations that are worth looking at, from first plot to publication.
• Linear algebra 0
  Vectors, matrices, decompositions, eigenvalues, and solving linear systems.
• Curve fitting 1
  Fitting models to data with uncertainties, parameter errors, and goodness of fit.
• Data wrangling 0
  Loading, cleaning, reshaping, and storing scientific data.
• Numerical calculus 0
  Differentiation, integration, interpolation, and root finding of functions and data.
• Ordinary differential equations 1
  Integrating initial value problems, stiffness, events, and boundary value problems.
• Symbolic mathematics 0
  Computer algebra: exact manipulation of expressions, equations, and series.
• Image analysis 0
  Loading, filtering, segmenting, and measuring images and microscopy data.
• Partial differential equations 0
  Finite differences, method of lines, spectral methods, and the standard equations of physics.
• Performance 0
  Making code fast: vectorization, compilation, parallelism, and profiling.
• Statistics 1
  Distributions, uncertainty, hypothesis tests, and estimating parameters from samples.
• Signal processing 1
  Fourier analysis, spectra, filtering, and time series.