Partial and Total Derivatives

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Related lectures (28)

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Partial Derivatives Rules

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

Multivariable Functions: Partial Derivatives and Exact Differentials

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

Maxwell's Relations: Thermodynamics

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

Mathematical Tools in Thermodynamics

Covers mathematical tools used in thermodynamics and explores examples of auxiliary variables.

Mathematical Complements: df or δf

Explores mathematical tools for differentials of functions of multiple variables and their practical applications in thermodynamics and real-life scenarios.

Functions: Multivariable Functions and Exact Differentials

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

Thermodynamic Equilibrium and Mechanical Transfer

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

Chemical Equilibrium and Matter Transfer

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

Thermodynamic Transformations: Internal Energy and Kinetic Gas Theory

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

Thermodynamics: State, Quantities, and Differential

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