Slides and transcripts: https://drive.google.com/drive/folder...
At 1:31:05 I'm inconsistent with the use of E_sys and U_sys: apologies for that.
0:00:00 Recap of previous video
0:01:36 Ideal gas law
0:08:04 Equipartition theorem
0:13:43 Maxwell's velocity distribution
0:18:36 Boltzmann's combinatorics
0:42:14 Boltzmann entropy
0:49:47 Quasi-static processes
0:53:54 Exponential distributions
0:55:13 Lagrange multipliers
0:58:31 Distinguishability
1:02:21 Phase space, coarse graining
1:10:11 Gibbs paradox
1:17:44 Thermodynamic quantities from entropy
1:23:32 Fundamental thermodynamic relation, Lagrange multipliers
1:26:00 Chemical potential in chemical reactions
1:29:20 System interacting with reservoir
1:37:20 Gibbs entropy
1:43:06 Partition function
1:48:08 Statistical ensembles
1:50:25 Summary