Tangent Lines and Approximation

Related lectures (29)

Page 3 of 3

Delves into tangent vectors as equivalence classes on manifolds, highlighting their abstract nature and role in optimization.

Explores derivatives, tangents, and elementary function rules in general mathematics.

Discusses the Implicit Function Theorem and its application to tangent planes and derivatives.

Explores tangent planes, shadows, and intersections in 3D space, focusing on conic sections and practical applications.

Covers the concept of trigonometric functions and their applications in geometry.

Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.

Explores connections on manifolds, emphasizing the axiomatic definition and properties of derivatives in differentiating vector fields.

Covers the study of parametric curves and tangent vectors.

Covers smooth maps on manifolds, defining functions, tangent spaces, and differentials.