Introduction to Differential Equations

Santa Fe Institute via Complexity Explorer

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Details

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Provider

Complexity Explorer
Pricing

Free Online Course
Languages

English
Duration & workload

1 hour of material
Sessions

Found in

Mathematics Courses

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

The Idea of the Derivative
Introduction to Differential Equations (Dave Feldman)
Differential Equations
Qualitative Solutions
Computational Solutions
Summary
Unit 2 Homework

Taught by

David Feldman

Reviews

4.7 rating, based on 11 Class Central reviews

Start your review of Introduction to Differential Equations

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

Anonymous is taking this course right now.

The lectures work great as a refresher for me. The instructor communicates the topics in a practical and sensible way.
Anonymous

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...

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!
Anonymous

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...

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).
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.
Anonymous

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.
Jose Quezada Erickson

Jose Quezada Erickson 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 !.
Anonymous

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.
Davide Vignoni

Davide Vignoni 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.
Ben G Small

Ben G Small 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!
Anonymous

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

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