Lectures related to Interpolation and Calculus

Error Analysis and Interpolation Log in to Mediaspace to watch this video

Explores error analysis and limitations in interpolation on evenly distributed nodes.

Differential Geometry: Surfaces Log in to Mediaspace to watch this video

Explores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.

Differential Geometry: Curves Log in to Mediaspace to watch this video

Explores the geometry of parametric curves, covering tangent vectors, curvature, and curve smoothing techniques.

Curves: Parameterized Curves and Tangent Vectors Log in to Mediaspace to watch this video

Explores the definition of curves, parameterized curves, and tangent vectors in relation to open intervals and continuous functions.

Taylor Polynomials: Calculating Limits and Derivatives Log in to Mediaspace to watch this video

Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.

Curve Integrals of Vector Fields Log in to Mediaspace to watch this video

Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.