Differential Equations Part II Series Solutions

Offered By: Korea Advanced Institute of Science and Technology via Coursera

Course Description

Overview

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.

Syllabus

Euler Equations
Power Series
Solutions about ordinary points
Frobenius Theorem
Finding a Second Solution
Bessel Functions
Legendre Polynomials

Taught by

Kil Hyun Kwon