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Introduction to Differential Equations

Santa Fe Institute via Complexity Explorer

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Overview

This tutorial contains excerpts from David Feldman's Dynamical Systems course.  Note that Complexity Explorer tutorials are meant to introduce students to various important techniques and to provide illustrations of their application in complex systems.  A given tutorial is not meant to offer complete coverage of its topic or substitute for an entire course on that topic.   

This tutorial is designed for beginning math students (those who have completed at least one year of high-school algebra but not calculus). 

 

Syllabus

  1. The Idea of the Derivative
  2. Introduction to Differential Equations (Dave Feldman)
  3. Differential Equations
  4. Qualitative Solutions
  5. Computational Solutions
  6. Summary
  7. Unit 2 Homework

Taught by

David Feldman

Reviews for Complexity Explorer's Introduction to Differential Equations
4.6 Based on 8 reviews

  • 5 stars 63%
  • 4 stars 38%
  • 3 star 0%
  • 2 star 0%
  • 1 star 0%

Did you take this course? Share your experience with other students.

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  • 1
Anonymous
5.0 4 months ago
Anonymous completed this course.
The course was perfect . Perfect lecture . Perfect presentation. Very useful. I could apply deifferential equations easily in my work and also I understand what I do.
Was this review helpful to you? Yes
Anonymous
4.0 2 months ago
Anonymous completed this course.
I took this course even though I am somewhat familiar with the material, because I wanted to see the presentation style. Even though the content is very basic, I really liked the style, I think it takes you away from the "maths classroom" and makes you think about DEs as a tool with which to make sense of the rates of change in the world, the math being almost secondary.

This is a very worthy approach and I believe that if it were pursued more, then more interest would be generated in students, as the subject becomes alive and relevant rather than just a collection of meaningless and boring equations in a book. The concept of seeing maxima and minima as attractors and repellers really motivated me (even if *is* obvious in hindsight).

4 stars because I would have like to see more advanced material presented in this way!
Was this review helpful to you? Yes
Anonymous
4.0 2 months ago
Anonymous completed this course.
I took this course even though I am somewhat familiar with the material, because I wanted to see the presentation style. Even though the content is very basic, I really liked the style, I think it takes you away from the "maths classroom" and makes you think about DEs as a tool with which to make sense of the rates of change in the world, the math being almost secondary.

This is a very worthy approach and I believe that if it were pursued more, then more interest would be generated in students, as the subject becomes alive and relevant rather than just a collection of meaningless and boring equations in a book. The concept of seeing maxima and minima as attractors and repellers really motivated me (even if *is* obvious in hindsight).
Was this review helpful to you? Yes
Anonymous
4.0 4 months ago
Anonymous completed this course.
In terms of accessibility, this course is very accessible. I found it very helpful in preparing me for my differential equations course in the university. However, the course can't stand on its own as a full intro course, since it doesn't delve in methods of solving differential equations analytically at all.
Was this review helpful to you? Yes
Jose E
5.0 4 months ago
by Jose is taking this course right now.
Awesome. The understanding of this topic will improve my knowledge of other courses at MIT that requires Differential Equations. I took this course at the university but the professor at that time couldn't explain it as well as it was explained here. Bravo !.
Was this review helpful to you? Yes
Davide V
5.0 4 months ago
Davide completed this course, spending 3 hours a week on it and found the course difficulty to be medium.
Taking part of this course allowed me to review topics I studied in my advanced calculus courses and, at the same time, to enhance and rearrange in a better way my knowledge of this issue from a more general point of view.
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Ben S
5.0 4 months ago
Ben completed this course, spending 3 hours a week on it and found the course difficulty to be medium.
Similar to the 'Functions and Iterations' course that I took prior to this module, another excellent breakdown of the basic mathematics necessary to understand ODE's. To be recommended!
Was this review helpful to you? Yes
Anonymous
5.0 4 months ago
Anonymous completed this course.
Good course! I liked it, I learned a lot and the teacher explains so well that it makes everything look very easy
Was this review helpful to you? Yes
  • 1

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