Lectures related to Partial Derivatives Rules

Maxwell's Relations: Thermodynamics

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

Partial and Total Derivatives

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

Multivariable Functions: Partial Derivatives and Exact Differentials

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

Mathematical Tools in Thermodynamics

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

Thermodynamics: Energy Transformation

Covers energy transformation in thermodynamics, discussing laws, entropy, and spontaneity criteria for reactions.

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.

Thermodynamics: Equilibrium and Maxwell Relations

Explores equilibrium, simple systems, Legendre transformations, and Maxwell relations in thermodynamics.

Thermodynamic Equilibrium and Mechanical Transfer

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

Chemical Thermodynamics: Fundamentals and Applications

Covers the basics of chemical thermodynamics, including enthalpy, phase changes, and calculation methods.

Chemistry: Atomic Structure and Thermodynamics

Covers atomic structure, thermodynamics, material properties, and ideal gas law.

Chemical Equilibrium and Matter Transfer

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

Thermodynamics: State, Quantities, and Differential

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

Chemical Thermodynamics: State Functions and Enthalpy

Covers chemical thermodynamics, state functions, enthalpy, spontaneous processes, and limitations of the first law.

Thermodynamics & Phase Diagrams

Explores thermodynamics, phase diagrams, Gibbs free energy, and their role in materials science.

Thermodynamics: Principles and Applications

Provides an overview of thermodynamic principles, focusing on the first principle and its applications in various systems.

Thermodynamics: Fundamentals and Applications

Explores the basics of thermodynamics, including energy transformation, laws, and entropy.

Functions: Multivariable Functions and Exact Differentials

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

Differential Calculus: Applications and Reminders

Covers differential calculus applications and reminders, emphasizing the importance of differentiability in mathematical analysis.

Thermodynamic Transformations: Internal Energy and Kinetic Gas Theory

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

Thermodynamics: Chemical Reactions

Covers the definitions of energy internal and enthalpy of reaction, the expressions for A and H, and the influence of temperature on standard quantities.