Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra
Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra (Res.18-008, MIT OCW). This consists of
20 video lectures given by Professor Herbert Gross, providing an introduction to Complex Variables, Ordinary Differential Equations
and Linear Algebra. Calculus Revisited is a series of videos and related resources that covers the materials normally
found in freshman- and sophomore-level introductory mathematics courses. Complex Variables, Differential Equations,
and Linear Algebra is the third course in the series, consisting of 20 Videos, 3 Study Guides, and a set of Supplementary Notes.
(from ocw.mit.edu)
Part III, Lecture 2 - Spanning Vectors
Herb Gross describes spanning vectors: Vectors whose linear combinations generate a vector space. Herb also defines linear dependence and the dimension of a vector space.