- From www.edx.org
Introduction to Differential Equations
- Self-paced
- Free Access
- Fee-based Certificate
- 14 Sequences
- Introductive Level
Course details
Syllabus
Unit 1
- Introduction to differential equations and modeling
- Complex numbers
- Solving first order linear differential equations
Unit 2
- The complex exponential
- Sinusoids
- Higher order linear differential equations
- Characteristic polynomial
Unit 3
- Harmonic oscillators
- Operators
- Complex replacement
- Resonance
Unit 4
- Graphical methods and nonlinear differential equations
- Autonomous equations
- 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.
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