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Introduction to Ordinary Differential Equations

Korea Advanced Institute of Science and Technology via Coursera

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  • Provider Coursera
  • Subject Mathematics
  • $ Cost Free Online Course (Audit)
  • Session Upcoming
  • Language English
  • Certificate Paid Certificate Available
  • Effort 2-3 hours a week
  • Start Date
  • Duration 9 weeks long

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Overview

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In this introductory course on Ordinary Differential Equations, we first provide basic terminologies on the theory of differential equations and then proceed to methods of solving various types of ordinary differential equations. We handle first order differential equations and then second order linear differential equations. We also discuss some related concrete mathematical modeling problems, which can be handled by the methods introduced in this course.

The lecture is self contained. However, if necessary, you may consult any introductory level text
on ordinary differential equations. For example, "Elementary Differential Equations and Boundary Value Problems
by W. E. Boyce and R. C. DiPrima from John Wiley & Sons" is a good source for further study on the subject.

The course is mainly delivered through video lectures. At the end of each module, there will be a quiz consisting of several problems related to the lecture of the week.

Syllabus

Introduction


First Order Differential Equation 1


FIRST ORDER DEFERENTIAL EQUATION 2


Mathematical Modeling and Applications


LINEAR SECOND ORDER EQUATIONS 1


Linear Second order equations 2


Linear Second order equations 3


Linear Second order equations 4


APPLICATIONS OF SECOND ORDER EQUATIONS


Taught by

Kwon, Kil Hyun

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Review for Coursera's Introduction to Ordinary Differential Equations
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Gaetano P
5.0 6 months ago
by Gaetano completed this course, spending 4 hours a week on it and found the course difficulty to be medium.
Nice course well teached with attention to mathematical theory and theorems.

Highly recommended to those who want to start to study DE.
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