- The GW landscape: introducing GW theory and astrophysics across the spectrum.
- Stochastic GW backgrounds: understanding how to probe GW backgrounds through statistics; n-point correlations; Gaussians and other probability density functions.
- Pulsars & pulsar timing: pulsar timing response to GWs; overlap reduction function for PTAs; cross-power spectrum of timing deviations caused by a SGWB.
- Sources & signals: supermassive black-hole binaries generating individual GWs and a GW background; cosmological sources.
- Brief tour of astro-statistics: frequentist & Bayesian statistics, parameter estimation, model selection.
- Numerical Bayesian techniques: MCMC sampling; optimizing proposal distributions; stopping criteria; evidence and odds ratio evaluation.
- PTA data analysis techniques: noise sources for PTAs; marginalizing over the timing ephemeris; the PTA data model; structure of the PTA likelihood; practical recipes for pulsar noise characterization, searching for the GW background, single GW sources.