Partial and Total Derivatives

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (33)

Partial Derivatives Rules

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

Maxwell's Relations: Thermodynamics MOOC: Thermodynamics II

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

Thermodynamic Equilibrium and Mechanical Transfer MOOC: Thermodynamics II

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

Chemical Equilibrium and Matter Transfer MOOC: Thermodynamics II

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

Thermodynamics: State, Quantities, and Differential MOOC: Thermodynamics II

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

Differential Calculus: Applications and Reminders

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

Functions with Values in R^m

Explores functions with values in R^m, gradients, derivatives, and the Jacobian matrix in multiple dimensions.

Recurrence Method: Generalization and Differential Calculus

Explores the fundamental principle of the recurrence method and differential calculus of functions of several variables.

Gradient and Taylor Formula

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Multivariable Functions: Partial Derivatives and Exact Differentials Log in to Mediaspace to watch this video

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

Mathematical Tools in Thermodynamics Log in to Mediaspace to watch this video

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

Mathematical Complements: df or δf Log in to Mediaspace to watch this video

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 Log in to Mediaspace to watch this video

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

Thermodynamic Transformations: Internal Energy and Kinetic Gas Theory Log in to Mediaspace to watch this video

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

Mathematical Complements: df or δf, Consequences Log in to Mediaspace to watch this video

Explores the consequences of exact differential forms and necessary conditions for total exact differentials, using examples from mountain hiking.

Thermodynamics: Principles and Applications Log in to Mediaspace to watch this video

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

Derivatives and Tangent Planes Log in to Mediaspace to watch this video

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

Partial Derivatives and Functions Log in to Mediaspace to watch this video

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

Partial Derivatives: Derivability Log in to Mediaspace to watch this video

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Differentiability: Partial Derivatives and Hessiennes Log in to Mediaspace to watch this video

Explains partial derivatives, Hessienne matrix, and their properties.

Page 1 of 2