## 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 7 - Dot Products |

Herb Gross axiomatically defines the dot product as the map of ordered pairs of vectors into the real numbers. Using this definition, Herb next defines and shows how and why to find an orthonormal basis.

Go to **the Course Home** or watch other lectures: