MIT Calculus Revisited: Calculus of Complex Variables (English)

   Monday, December 23, 2024   

Starting a new Lecture Notes Series on MIT Calculus Revisited: Calculus of Complex Variables

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MIT Calculus Revisited: Calculus of Complex Variables By Lecture Notes together!

Lecture 1: Part I: Complex Variables, Lec 1: The Complex Numbers

Lecture 2: Part I: Complex Variables, Lec 2: Functions of a Complex Variable

Lecture 3: Part I: Complex Variables, Lec 3: Conformal Mappings

Lecture 4: Part I: Complex Variables, Lec 4: Sequences and Series

Lecture 5: Part I: Complex Variables, Lec 5: Integrating Complex Functions

Lecture 6: Part II: Differential Equations, Lec 1: The Concept of a General Solution

Lecture 7: Part II: Differential Equations, Lec 2: Linear Differential Equations

Lecture 8: Part II: Differential Equations, Lec 3: Solving the Linear Equations L(y) = 0; Constant Coefficients

Lecture 9: Part II: Differential Equations, Lec 4: Undetermined Coefficients

Lecture 10: Part II: Differential Equations, Lec 5: Variations of Parameters

Lecture 11: Part II: Differential Equations, Lec 6: Power Series Solutions

Lecture 12: Part II: Differential Equations, Lec 7: Laplace Transforms

Lecture 13: Part III: Linear Algebra, Lec 1: Vector Spaces

Lecture 14: Part III: Linear Algebra, Lec 2: Spanning Vectors

Lecture 15: Part III: Linear Algebra, Lec 3: Constructing Bases

Lecture 16: Part III: Linear Algebra, Lec 4: Linear Transformations

Lecture 17: Part III: Linear Algebra, Lec 5: Determinants

Lecture 18: Part III: Linear Algebra, Lec 6: Eigenvectors

Lecture 19: Part III: Linear Algebra, Lec 7: Dot Products

Lecture 20: Part III: Linear Algebra, Lec 8: Orthogonal Functions