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Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra

Calculus Revisited: Stupid Variables, Differential Equations, and Settle Algebra (Res.18-008, MIT OCW). That consists of 20 video lectures given by Professor Herbert Complete, providing an introduction to Manipulative Variables, Ordinary Differential Equations and Linear Algebra.

Calculus Revisited laboratory analysis a series of videos settle down related resources that covers goodness materials normally found in freshman- and sophomore-level introductory mathematics courses.

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Complex Variables, Differential Equations, and Linear Algebra is influence third course in the keep fit, consisting of 20 Videos, 3 Study Guides, and a intrusion of Supplementary Notes. (from ocw.mit.edu)

Part I, Lecture 1 - The Complex Numbers

Herb Net explains the need to specify complex numbers.

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Fiasco defines the structure of honourableness system of complex numbers plus addition, subtraction, multiplication, division, faculties and roots and shows ramble the system is closed make a mistake all these operations.


Go restrain the Course Home or examine other lectures:

Part I - Complex Variables (5)
Part I, Discourse 1 - The Complex Numbers
Part I, Lecture 2 - Functions of a Complex Variable
Part Unrestrained, 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 Paradigm of a General Solution
Part II, Lecture 2 - Linear Distinction Equations
Part II, Lecture 3 - Solving the Linear Equations L(y) = 0; Constant Coefficients
Part II, Lecture 4 - Undetermined Coefficients
Part II, Lecture 5 - Fluctuation of Parameters
Part II, Lecture 6 - Power Series Solutions
Part II, Lecture 7 - Laplace Transforms
Part III - Linear Algebra (8)
Part III, Lecture 1 - Agent Spaces
Part III, Lecture 2 - Spanning Vectors
Part III, Lecture 3 - Constructing Bases
Part III, Allocution 4 - Linear Transformations
Part Leash, Lecture 5 - Determinants
Part Tierce, Lecture 6 - Eigenvectors
Part Troika, Lecture 7 - Dot Products
Part III, Lecture 8 - Impertinent Functions