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Santa Fe Institute

Introduction to Differential Equations

Santa Fe Institute via Complexity Explorer

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

4.6 rating, based on 12 Class Central reviews

Start your review of Introduction to Differential Equations

  • Anonymous
    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…
  • Anonymous
    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…
  • Anonymous
    Dr Feldman is very good at explaining complex information. Yet this introduction is very incomplete. It does not go into the types of differential equations and the production quality is very low. Seriously, writing on paper and taking a video?
  • Anonymous
    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.
  • 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 !.
  • Anonymous
    Excellent review! I always look at Prof. Feldman's videos before reading a particular topic in nonlinear dynamics. This is not meant to be a complete class like others have stated, and the instructor makes this point somewhere in the last few viedeos as well.
  • Anonymous
    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.
  • Davide Vignoni
    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.
  • Ben G Small
    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!
  • Anonymous
    The lectures work great as a refresher for me. The instructor communicates the topics in a practical and sensible way.
  • Anonymous
    Good course! I liked it, I learned a lot and the teacher explains so well that it makes everything look very easy
  • Anonymous
    es muy buena introducción , pero falta a mi parecer darle continuidad de poco a poco, es muy didáctico y eso es bueno, es muy interesante el punto de vista en como se describe cada tema y concepto.

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