Skills you'll gain

There are 6 modules in this course

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

Week 2

Week 3

Week 4. Stability of Autonomous Systems

Week 5

Week 6

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