Introduction to Differential Equations

Course
en
English
42 h
This content is rated 5 out of 5
Source
  • From www.edx.org
Conditions
  • Self-paced
  • Free Access
  • Fee-based Certificate
More info
  • 14 Sequences
  • Introductive Level

Their employees are learning daily with Edflex

  • Safran
  • Air France
  • TotalEnergies
  • Generali
Learn more

Course details

Syllabus

Unit 1

  1. Introduction to differential equations and modeling
  2. Complex numbers
  3. Solving first order linear differential equations

Unit 2

  1. The complex exponential
  2. Sinusoids
  3. Higher order linear differential equations
  4. Characteristic polynomial

Unit 3

  1. Harmonic oscillators
  2. Operators
  3. Complex replacement
  4. Resonance

Unit 4

  1. Graphical methods and nonlinear differential equations
  2. Autonomous equations
  3. Numerical methods

Prerequisite

Single variable calculus

Instructors

David Jerison
Professor of Mathematics
Massachusetts Institute of Technology

Arthur Mattuck
Emeritus Professor of Mathematics
Massachusetts Institute of Technology

Haynes Miller
Professor of Mathematics
Massachusetts Institute of Technology

Jennifer French
Digital Learning Scientist and Lecturer
Massachusetts Institute of Technology

Duncan Levear
Postdoctoral Associate/DLL
Massachusetts Institute of Technology

Editor

MIT is a world-class educational institution where teaching and research — with relevance to the practical world as a guiding principle — continue to be its primary purpose.

MIT is independent, coeducational, and privately endowed. Its five schools and one college encompass numerous academic departments, divisions and degree-granting programs, as well as interdisciplinary centers, laboratories and programs whose work cuts across traditional departmental boundaries.

Platform

Harvard University, the Massachusetts Institute of Technology, and the University of California, Berkeley, are just some of the schools that you have at your fingertips with EdX. Through massive open online courses (MOOCs) from the world's best universities, you can develop your knowledge in literature, math, history, food and nutrition, and more. These online classes are taught by highly-regarded experts in the field. If you take a class on computer science through Harvard, you may be taught by David J. Malan, a senior lecturer on computer science at Harvard University for the School of Engineering and Applied Sciences. But there's not just one professor - you have access to the entire teaching staff, allowing you to receive feedback on assignments straight from the experts. Pursue a Verified Certificate to document your achievements and use your coursework for job and school applications, promotions, and more. EdX also works with top universities to conduct research, allowing them to learn more about learning. Using their findings, edX is able to provide students with the best and most effective courses, constantly enhancing the student experience.

This content is rated 5 out of 5
(no review)

What did you think of this course?

Complete this resource to write a review