Implicit Functions: Analysis II

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Related lectures (30)

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Implicit Differentiation: Solving Equations Locally

Explores implicit differentiation and the Implicit Function Theorem for finding unique functions locally.

Implicit Functions Theorem

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Block Pulled by a Spring

Explores the dynamics of a block pulled by a spring under various conditions.

Implicit Functions Theorem

Discusses the uniqueness of implicit functions solutions and surfaces described by equations.

Mechanics of Continuous Media

Covers potential energy, balance solutions, and the Ritz method in mechanics.

Implicit Functions Theorem

Explores the Implicit Functions Theorem, demonstrating how to find solutions to equations like x²+y²=1 through implicit differentiation and function properties.

Equations of Heat and Fourier Transform

Covers heat equations, Fourier transforms, and variable separation methods.

Exact Differential Equations

Revisits exact differential equations, discussing implicit function theorem and factors integrants.

Nonlinear Systems: Equations and Solutions

Explores solving nonlinear systems of equations using Newton's method.

Dynamical Theory: Nanoparticle Systems

Covers constructing a dynamical theory for nanoparticle systems, conservation equations, and transport phenomena.