Lectures related to Planes and Cylinders: Ray Intersections and Implementations

Graph Surfaces and Sphere in Spherical Coordinates

Covers graph surfaces with an example of a surface defined by a parametric equation.

Reservoirs and Dams: Hydraulic Construction and Sizing

Explores sizing reservoirs and dams using cumulative flow curves and tank dimensioning for dry and rainy periods.

Geometric Surfaces: Paraboloid and Hyperboloid Concepts

Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.

Geometry of Surfaces in R²

Explores the geometry of surfaces in R², including implicit descriptions, critical points, and regular surfaces.

Surfaces with Variable Curvature

Explores surfaces with variable curvature, discussing their construction and properties.

Descriptive Geometry: The Sphere

Explores the definitions, properties, and symmetry of spheres, including tangent planes and section circles.

Multivariate Statistics: Conditional Distributions

Covers conditional distributions and correlations in multivariate statistics, including partial variance and covariance, with applications to non-normal distributions.