# MIT Calculus Revisited: Calculus of Complex Variables

#### This course gives an introduction to Complex Variables, Ordinary Differential Equations and Linear Algebra. Created by MIT OpenCourseWare.

18 hours

###### Skill Level

Intermediate

Creative Commons (non commercial)

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1: Part I: Complex Variables, Lecture 1: The Complex Numbers
2: Part I: Complex Variables, Lecture 2: Functions of a Complex Variable
3: Part I: Complex Variables, Lecture 3: Conformal Mappings
4: Part I: Complex Variables, Lecture 4: Sequences and Series
5: Part I: Complex Variables, Lecture 5: Integrating Complex Functions
6: Part II: Differential Equations, Lecture 1: The Concept of a General Solution
7: Part II: Differential Equations, Lecture 2: Linear Differential Equations
8: Part II: Differential Equations, Lecture 3: Solving the Linear Equations L(y) = 0; Constant Coefficients
9: Part II: Differential Equations, Lecture 4: Undetermined Coefficients
10: Part II: Differential Equations, Lecture 5: Variations of Parameters
11: Part II: Differential Equations, Lecture 6: Power Series Solutions
12: Part II: Differential Equations, Lecture 7: Laplace Transforms
13: Part III: Linear Algebra, Lecture 1: Vector Spaces
14: Part III: Linear Algebra, Lecture 2: Spanning Vectors
15: Part III: Linear Algebra, Lecture 3: Constructing Bases
16: Part III: Linear Algebra, Lecture 4: Linear Transformations
17: Part III: Linear Algebra, Lecture 5: Determinants
18: Part III: Linear Algebra, Lecture 6: Eigenvectors
19: Part III: Linear Algebra, Lecture 7: Dot Products
20: Part III: Linear Algebra, Lecture 8: Orthogonal Functions