A grading rubric for the "Data Containers" project. It evaluates students on conceptual abstraction of n-dimensional vectors, accuracy in modeling linear combinations, computational precision, and the depth of their critical reflection on linear algebra's role in data science.

A student worksheet for an undergraduate linear algebra lesson focusing on vectors as data containers. It includes a spreadsheet hook, video-guided notes on n-dimensional vectors, and a "Nutrition Ledger" project where students apply linear combinations to real-world data.

Summative assessment covering the entire sequence, including conceptual questions on scale factors, vector operator calculations, and applications to metrics and symmetry.

Discussion and inquiry guide for teachers to explore metric tensors, map distortions, and geodesics through thought experiments and physical demonstrations.

Introductory presentation on the metric tensor, non-Euclidean geometry, geodesics, and the conceptual foundation of General Relativity.

Problem set focused on solving boundary value problems using Legendre polynomials, including hemispherical potential and a sphere in a uniform electric field.

Case study handout connecting the mathematical solutions of Laplace's equation to the physical shapes of atomic orbitals in quantum mechanics.

Presentation on solving Laplace's equation in spherical coordinates using separation of variables and Legendre polynomials, with physical boundary condition examples.