Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra (Res.18-008, MIT OCW): Part III - Linear Algebra: Lecture 4

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 4 - Linear Transformations

Herb Gross defines Linear Transformations from vector space V into vector space W. He also defines and gives examples of the null space of such a map and illustrates the matrix representation of a linear transformation relative to a given basis.

Go to the Course Home or watch other lectures:

Part I - Complex Variables (5)

Part I, Lecture 1 - The Complex Numbers

Part I, Lecture 2 - Functions of a Complex Variable

Part I, Lecture 3 - Conformal Mappings

Part I, Lecture 4 - Sequences and Series

Part I, Lecture 5 - Integrating Complex Functions

Part II - Differential Equations (7)

Part II, Lecture 1 - The Concept of a General Solution

Part II, Lecture 2 - Linear Differential Equations

Part II, Lecture 3 - Solving the Linear Equations L(y) = 0; Constant Coefficients

Part II, Lecture 4 - Undetermined Coefficients