Analytic Geom.·Course
Analytic Geometry
Analytic geometry: coordinate systems, lines and planes, second-order curves, vector algebra
5
Modules
15
Articles
~2 h
Reading
IV
CLOs
§ 01 — Curriculum
5 modules.
Each module is a small unit. Most read in sequence — but a determined reader can begin anywhere.
- M IVector AlgebraScalar, vector, and mixed products of vectors3 articles
18 minBegin → - M IILines and PlanesEquations of lines and planes, distances and angles3 articles
18 minBegin → - M IIIConic SectionsEllipse, hyperbola, parabola, reduction to canonical form3 articles
18 minBegin → - M IVQuadric SurfacesEllipsoids, hyperboloids, paraboloids in three-dimensional space3 articles
18 minBegin → - M VAffine and Projective TransformationsTransformations of the plane and space, invariants3 articles
18 minBegin →
§ 02 — Learning outcomes
4 outcomes.
CLO I
Vector Algebra
Perform operations on vectors and compute scalar and vector products.
CLO II
Lines and Planes
Define and analyze lines and planes in three-dimensional space.
CLO III
Second-Order Curves
Classify and analyze conic sections
CLO IV
Surfaces
Study quadric surfaces and their applications
§ 03 — Practices