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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.
FREE
This course includes
Hours of videos
555 years, 6 months
Units & Quizzes
20
Unlimited Lifetime access
Access on mobile app
Certificate of Completion
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 Currilcum
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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
