This introductory courses on (Ordinary) Differential Equations are mainly for the people, who need differential equations mostly for the practical use in their own fields. So we try to provide basic terminologies, concepts, and methods of solving various types of differential equations as well as a rudimentary but indispensable knowledge of the underlying theory and some related applications. The prerequisites of the courses is one- or two- semester calculus course and some exposure to the elementary theory of matrices like determinants, Cramer’s Rule for solving linear systems of equations, eigenvalues and eigenvectors. Table of Contents Differential Equations Part I Basic Theory Chapter 1 Introduction Chapter 2 First Order Differential Equations Chapter 3 Mathematical Modelling and Applications Chapter 4 Linear Second Order Equations Chapter 5 Applications of Second Order Equations Differential Equations Part II Series Solutions Chapter 1 Euler Equations Chapter 2 Series Solutions of Linear Equations Chapter 3 Special Functions: Bessel Functions and Legendre Polynomials Differential Equations Part III Systems of Differential Equations Chapter 1 Systems of Linear Equations Chapter 2 Stability of Autonomous Systems
The course has given me a solid understanding of ODEs and systems of ODEs. I particularly enjoyed the qualitative analysis and stability theory, very well explained.
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The course has given me a solid understanding of ODEs and systems of ODEs. I particularly enjoyed the qualitative analysis and stability theory, very well explained.
I have to continue improving my care . Thanks you.
Great course
awesome
Knowledge of algebra and linear algebra is required to follow this course, as the trainer does not detail any of the algebraic calculations used. If you don't have these algebraic basics, you'll be lost. The instructor is difficult to understand because of his accent. He also writes very badly, which makes it even harder to understand. The automatically generated subtitles are unreliable and therefore unhelpful. The pdf support provided is very inadequate. The quizzes are only available to those who have paid, which is a shame. Hang on to follow the last part concerning the stability of autonomous systems, as it is very indigestible: I'd advise you to read a good book on the subject rather than follow this part of the MOOC.