# 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.

##### Pick a lesson

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