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Lecture
Immediate Consequences
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Related lectures (30)
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Partial Derivatives and Functions
Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.
Derivability and Continuity
Explores derivability, continuity, and composite functions with illustrative examples.
Change of Coordinates: Invertible Matrices & Functions
Explores invertible matrices, injective functions, and the theory of reciprocal functions.
Partial Derivatives: Definitions and Applications
Explores the definitions and applications of partial derivatives in functions of several variables, emphasizing the importance of specifying the choice of variables.
Concavity and Convexity: Analysis of Functions
Explores concavity, convexity, critical points, and singularities in functions.
Exact Linearization: Earth Dynamics and Stabilization
Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.
Convexity Study and Limiting Developments
Explores convexity, concavity, and limiting developments for functions, emphasizing extrema and derivative properties.
Jacobian Matrix: Derivative of Composite Functions
Explains the Jacobian matrix and derivative of composite functions with examples.
Derivatives and Tangent Planes
Covers derivatives, differentiability, and tangent planes for functions of one and two variables.
Functions Reciprocal and Monotone: Advanced Analysis II
Explores reciprocal functions, strict monotonicity, and continuity in advanced analysis.