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source: MIT OpenCourseWare Last updated on 2014年7月2日
MIT Calculus Revisited: Calculus of Complex Variables
This course gives an introduction to Complex Variables, Ordinary Differential Equations and Linear Algebra.
View the complete course at: http://ocw.mit.edu/RES18-008
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
Part I: Complex Variables, Lec 1: The Complex Numbers 43:37
Part I: Complex Variables, Lec 2: Functions of a Complex Variable 35:08
Part I: Complex Variables, Lec 3: Conformal Mappings 36:00
Part I: Complex Variables, Lec 4: Sequences and Series 33:36
Part I: Complex Variables, Lec 5: Integrating Complex Functions 34:52
Part II: Differential Equations, Lec 1: The Concept of a General Solution 34:33
Part II: Differential Equations, Lec 2: Linear Differential Equations 35:15
Part II: Differential Equations, Lec 3: Solving the Linear Equations L(y) = 0; Constant Coefficients 19:48
Part II: Differential Equations, Lec 4: Undetermined Coefficients 29:27
Part II: Differential Equations, Lec 5: Variations of Parameters 24:54
Part II: Differential Equations, Lec 6: Power Series Solutions 33:29
Part II: Differential Equations, Lec 7: Laplace Transforms 38:35
Part III: Linear Algebra, Lec 1: Vector Spaces 31:43
Part III: Linear Algebra, Lec 2: Spanning Vectors 27:49
Part III: Linear Algebra, Lec 3: Constructing Bases 40:06
Part III: Linear Algebra, Lec 4: Linear Transformations 36:26
Part III: Linear Algebra, Lec 5: Determinants 39:31
Part III: Linear Algebra, Lec 6: Eigenvectors 38:04
Part III: Linear Algebra, Lec 7: Dot Products 41:26
Part III: Linear Algebra, Lec 8: Orthogonal Functions 34:30
