Why study thermodynamics: heat-to-work conversion, heat engines, energy sources, and contemporary stakes.
From Hero's aeolipile to Carnot, Mayer, and Clausius: the birth of thermodynamics and entropy.
Equilibrium, the zeroth law, walls, state variables and functions, and quasi-static transformations.
Work, heat, internal energy, and the first law.
Entropy, reversibility, and the second law.
Fundamental relations and thermodynamic potentials.
Differential calculus, the Legendre transform, and thermodynamic potentials.
Calorimetric and thermoelastic coefficients, and equations of state.
Phase diagrams, instabilities, and the Van der Waals gas.
Two-reservoir cycles, the Carnot cycle, efficiencies, and statements of the second law.
The geometric structures underlying thermodynamics.
Information, entropy, and the limits of classical thermodynamics.
Efficiency at maximum power and real heat engines.
Thermoelectric effects and energy conversion.
Irreversible phenomena and Onsager's relations.
Thermodynamic applications to Earth's climate system.
Work, heat, and entropy at the quantum scale.