Lectures related to Mathematical Tools in Thermodynamics

Differential Calculus: Applications and Reminders

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

Functions of LR: Differentiability

Explains differentiability in LR functions and introduces the Jacobian matrix.

Thermodynamics: Energy Transformation

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

Thermodynamic Coefficients: Applications

Explores the practical applications of calorimetric coefficients in thermodynamics, including specific calculations for perfect gases.

Differentiation and Coordinate Changes in Multivariable Functions

Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.

Thermodynamics & Phase Diagrams

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

Differential Equations: Implicit Function Theorem Applications

Discusses the reduction of higher-order differential equations to first-order systems using the implicit function theorem.