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Lecture
Partial and Total Derivatives
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Derivatives and Continuity in Multivariable Functions
Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.
Thermodynamic Systems: First Principle and Applications
Covers thermodynamic systems, the first principle, and their applications in physics.
Partial Derivatives and Functions
Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.
Laplacian in Polar and Spherical Coordinates: Derivatives
Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.
Thermodynamic Functions and Equilibria: Mathematical Tools
Discusses thermodynamic functions, their mathematical tools, and key relationships between state variables in thermodynamics.
Partial Derivatives: Higher Order and Applications
Covers the concept of partial derivatives of higher order and their applications in various contexts.
Gradient and Taylor Formula
Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.
Geometric Interpretation of Derivatives
Explores the geometric interpretation of derivatives and properties of derivable functions.