Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra | Mathematics | MIT OpenCourseWare

Course Info

Instructor

Prof. Herbert Gross

Departments

Mathematics

As Taught In

Fall 2011

Level

Undergraduate

Topics

Mathematics

Learning Resource Types

Lecture Notes

Lecture Videos

Problem Set Solutions

Problem Sets

Download Course

Lecture Videos

Lecture 1: The Complex Numbers

Lecture 1: The Concept of a General Solution

Lecture 1: Vector Spaces

Lecture 2: Functions of a Complex Variable

Lecture 2: Linear Differential Equations

Lecture 2: Spanning Vectors

Lecture 3: Conformal Mappings

Lecture 3: Constructing Bases

Lecture 3: Solving the Linear Equations L(y) = 0; Constant Coefficients

Lecture 4: Linear Transformations

Lecture 4: Sequences and Series

Lecture 4: Undetermined Coefficients

Lecture 5: Determinants

Lecture 5: Integrating Complex Functions

Lecture 5: Variations of Parameters

Lecture 6: Eigenvectors

Lecture 6: Power Series Solutions

Lecture 7: Dot Products

Lecture 7: Laplace Transforms

Lecture 8: Orthogonal Functions

Course Info

Instructor

Prof. Herbert Gross

Departments

Mathematics

As Taught In

Fall 2011

Level

Undergraduate

Topics

Mathematics

Learning Resource Types

Lecture Notes

Lecture Videos

Problem Set Solutions

Problem Sets

Download Course

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