Differential Equations
Fourier Series and Partial Differential Equations
18.03x Differential Equations,
Differential equations are the mathematical language we use to describe the world around us. Many phenomena are not modeled by differential equations, but by partial differential equations depending on more than one independent variable. In this course, we will use Fourier series methods to solve ODEs and separable partial differential equations (PDEs). You will learn how to describe any periodic function using Fourier series, and will be able to use resonance and to determine the behavior of systems with periodic input signals that can be described in terms of Fourier series. This course will use MATLAB to assist computations.
In this course we will explore:
How to process noisy sound files
The way a beam bends in response to external forces
How to design of ovens to create strong but lightweight composites
The motion of a violin string
The five modules in this seriesare being offered as an XSeries on edX. Please visit theDifferential EquationsXSeries Program Pageto learn more and to enroll in the modules.
Violinist photo by user: DeshaCAM. Copyright © 2018 Adobe Systems Incorporated. Used with permission.
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What you'll learn
- How to describe periodic functions using Fourier series
- How to solve ODEs with Fourier series input
- How to solve separable PDEs using Fourier series inputs and boundary conditions
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| Rating | 5.0★ based on 3 ratings |
|---|---|
| Length | 11 weeks |
| Effort | 11 weeks, 5–8 hours per week |
| Starts | On Demand (Start anytime) |
| Cost | $75 |
| From | MITx, Massachusetts Institute of Technology via edX |
| Instructors | David Jerison, Arthur Mattuck, Jennifer French, Kristin Kurianski, Duncan Levear |
| Download Videos | On all desktop and mobile devices |
| Language | English |
| Subjects | Mathematics Science |
| Tags | Math Engineering Physics |
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What people are saying
often not enough time
Often not enough time is spent on this topic.
active discussion forum where
The MATLAB programs, together with problem sets and an active discussion forum where fellow students and staff were always present to help makes this a truly enjoyable course for me.
may consider getting c.
You may consider getting C. Langton's book, "Intuitive Guide to Fourier analysis."
staff were always present
another excellent
Another excellent course from MIT.
differential equations
nice and well teached course with both theory and practice problems on Fourier Series and related applications on solving Differential Equations.
great class
Great class.
matlab programs
'' it will fill
c. langton 's book
content ( great videos
`` intuitive guide
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| Rating | 5.0★ based on 3 ratings |
|---|---|
| Length | 11 weeks |
| Effort | 11 weeks, 5–8 hours per week |
| Starts | On Demand (Start anytime) |
| Cost | $75 |
| From | MITx, Massachusetts Institute of Technology via edX |
| Instructors | David Jerison, Arthur Mattuck, Jennifer French, Kristin Kurianski, Duncan Levear |
| Download Videos | On all desktop and mobile devices |
| Language | English |
| Subjects | Mathematics Science |
| Tags | Math Engineering Physics |
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