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Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra (Res.18-008, MIT OCW). This consists of 20 video lectures given by Professor Herbert Gross, providing an introduction to Complex Variables, Ordinary Differential Equations and Linear Algebra.
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Description
Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Complex Variables, Differential Equations, and Linear Algebra is the third course in the series, consisting of 20 Videos, 3 Study Guides, and a set of Supplementary Notes. (from ocw.mit.edu)
Course content
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- Part I, Lecture 1 – The Complex Numbers Unlimited
- Part I, Lecture 2 – Functions of a Complex Variable Unlimited
- Part I, Lecture 3 – Conformal Mappings Unlimited
- Part I, Lecture 4 – Sequences and Series Unlimited
- Part I, Lecture 5 – Integrating Complex Functions Unlimited
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- Part II, Lecture 1 – The Concept of a General Solution Unlimited
- Part II, Lecture 2 – Linear Differential Equations Unlimited
- Part II, Lecture 3 – Solving the Linear Equations L(y) = 0; Constant Coefficients Unlimited
- Part II, Lecture 4 – Undetermined Coefficients Unlimited
- Part II, Lecture 5 – Variations of Parameters Unlimited
- Part II, Lecture 6 – Power Series Solutions Unlimited
- Part II, Lecture 7 – Laplace Transforms Unlimited
- Part III, Lecture 1 – Vector Spaces Unlimited
- Part III, Lecture 2 – Spanning Vectors Unlimited
- Part III, Lecture 3 – Constructing Bases Unlimited
- Part III, Lecture 4 – Linear Transformations Unlimited
- Part III, Lecture 5 – Determinants Unlimited
- Part III, Lecture 6 – Eigenvectors Unlimited
- Part III, Lecture 7 – Dot Products Unlimited
- Part III, Lecture 8 – Orthogonal Functions Unlimited
Instructor
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