Derivability and Continuity

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Related lectures (56)

Analyse II: Directional Derivative Log in to Mediaspace to watch this video

Covers the concept and calculation of directional derivatives in multivariable calculus.

Green's Function: Theory and Applications Log in to Mediaspace to watch this video

Covers the theory and applications of Green's function in solving differential equations.

Convex Functions Log in to Mediaspace to watch this video

Covers the properties and operations of convex functions.

Function Limits: Definitions and Theorems Log in to Mediaspace to watch this video

Explores function limits, including right and left limits, algebraic operations, and the theorem of the two gendarmes.

Integer Cones Log in to Mediaspace to watch this video

Covers the concept of integer cones and Carathéodory's theorem with illustrative examples.

Iterative Methods for Linear Equations Log in to Mediaspace to watch this video

Covers iterative methods for solving linear equations and analyzing convergence, including error control and positive definite matrices.

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.

Equivalence Relations and Construction of R Log in to Mediaspace to watch this video

Covers the construction of R and equivalence relations in sequences and linear recurrences.

Open Sets and Interior Points Log in to Mediaspace to watch this video

Explores open sets and interior points in real numbers, with examples and criteria for identification.

Fixed Point Proof: Exam Blanc Log in to Mediaspace to watch this video

Covers the definition and proof of fixed point methods, emphasizing the importance of continuity.

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

Explains partial derivatives, Hessienne matrix, and their properties.

Advanced Physics I: Definitions and Motion Log in to Mediaspace to watch this video

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

Advanced Physics I: Orders of Magnitude Log in to Mediaspace to watch this video

Explores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.

Untitled Log in to Mediaspace to watch this video

Basic Notations: Sets and Subsets Log in to Mediaspace to watch this video

Covers basic notations related to sets and subsets, including elements and subsets.

Curve Integrals: Gauss/Green Theorem Log in to Mediaspace to watch this video

Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.

Coordinate Changes: Definitions and Laplacian Log in to Mediaspace to watch this video

Covers the definitions of coordinate changes and the Laplacian of a function.

Stiffness vs Strength: Deformation and Load Log in to Mediaspace to watch this video

Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.

Orthogonal Projections: Rectors and Norms Log in to Mediaspace to watch this video

Covers orthogonal projections, rectors, norms, and geometric observations in vector spaces.

Numerical Differentiation and Integration Log in to Mediaspace to watch this video

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.

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