# infocobuild

## 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 8 - Orthogonal Functions

Herb Gross defines and illustrates the Fourier representation of a piecewise continuous function.

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 Part II, Lecture 5 - Variations of Parameters Part II, Lecture 6 - Power Series Solutions Part II, Lecture 7 - Laplace Transforms Part III - Linear Algebra (8) Part III, Lecture 1 - Vector Spaces Part III, Lecture 2 - Spanning Vectors Part III, Lecture 3 - Constructing Bases Part III, Lecture 4 - Linear Transformations Part III, Lecture 5 - Determinants Part III, Lecture 6 - Eigenvectors Part III, Lecture 7 - Dot Products Part III, Lecture 8 - Orthogonal Functions