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Related lectures (29)
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Curves in the Oriented Plane
Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Derivatives and Functions: Definitions and Interpretations
Covers the definition of derivative functions and their interpretation, focusing on differentiability, velocity, and curve lengths.
Taylor Expansions: First Order
Explores Taylor expansions of first order in optimization on manifolds.
Differentiability of Functions of Several Variables
Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.
Implicit Curves: Analysis & Regular Points
Covers implicit curves, regular and critical points, convexity, concavity, and inflection points.
Curves: differentiability and smoothness
Explores the differentiability and smoothness of curves in R², covering criteria, singularity points, and length.
Curvature and Osculating Circle
Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.
Surfaces in R^3: Curves and Regular Surfaces
Covers curves in R^2, regular surfaces in R^3, and geometric properties of edges.
Advanced Analysis II: Isoclines Method
Explores the Isoclines Method and solutions of differential equations with tangents.