Lectures related to Mathematical Tools in Thermodynamics

Explores rules of derivation, including partial derivatives and cyclic identities.

Covers Maxwell's relations in thermodynamics, including internal energy, free energy, enthalpy, and Gibbs free energy.

Covers partial and total derivatives, differentials, and temporal derivatives in functions with multiple variables.

Explores expressing oscillations as functions of time and discusses exact differentials in thermodynamics.

Explores mechanical equilibrium, entropy, and irreversible processes in thermodynamics.

Explores chemical equilibrium, matter transfer, entropy, and irreversible processes in a thermodynamic context.

Explores functions as a function of time and space, differentiation of multivariable functions, exact differentials, and gradients.

Explores thermodynamic transformations, internal energy, kinetic gas theory, and temperature measurement methods.

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Covers thermodynamic systems, the first principle, and their applications in physics.

Explores state, extensive and intensive quantities, differentials, processes, and temporal derivatives in thermodynamics.

Discusses thermodynamic functions, their mathematical tools, and key relationships between state variables in thermodynamics.

Covers the concept of orthogonality between vectors and the notion of distance between functions.

Explains partial derivatives, Hessienne matrix, and their properties.

Covers the definitions and relationships between calorimetric coefficients in perfect gases.

Explores phase transitions and stability criteria in thermodynamics, emphasizing entropy, internal energy, and thermodynamic potentials.

Explores differentiability in two variables and the chain rule for compositions.

Explores surface integrals, change of variables, and properties of regular surfaces.

Explores the thermodynamics of lead-acid batteries and their efficiency calculations.

Covers historical thermodynamics, continuity equations, state functions, and Cartesian products in scalar and vectorial forms.