About this XSeries
Differential equations are the language of the models that we use to describe the world around us. In this series, we will explore temperature, spring systems, circuits, population growth, biological cell motion, and much more to illustrate how differential equations can be used to model nearly everything.
We will develop the mathematical tools needed to solve linear differential equations, understand 2x2 systems of first-order linear and nonlinear differential equations. We will use linear algebra to solve systems of more than two differential equations. As well as, explore the use of Fourier series to analyze the behavior of and solve ordinary differential equations (ODEs) and separable partial differential equations (PDEs). In the last course of the series, we will consider frequency domain and Laplace transform to help us appreciate their effects on mechanical and electrical systems.
- Jiting (completed this course, spending 10 hours a week on it and found the course difficulty to be medium)
- Gaetano (completed this course, spending 4 hours a week on it and found the course difficulty to be medium)
- Dna47a (completed this course, spending 8 hours a week on it and found the course difficulty to be medium)
What you'll learn
- Use differential equations to model real-world phenomena
- How to solve linear differential equations as well as how to use matrix methods to solve systems of differential equations
- How to use graphical methods to understand the qualitative behavior of linear and nonlinear systems
- Formulate and solve eigenvalue and eigenvector problems
- How to solve ODEs and separable PDEs using Fourier series inputs and boundary conditions
From | Massachusetts Institute of Technology, MITx via edX |
---|---|
Hours | 220 |
Instructors | Haynes Miller, Jeremy Orloff, Jennifer French, Kristin Kurianski, Duncan Levear, David Jerison, Arthur Mattuck, Bjorn Poonen |
Language | English |
Subjects | Mathematics Science |
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Courses in this XSeries
Listed in the order in which they should be taken
Starts | Course Information | |
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On Demand |
Transfer Functions and the Laplace Transform This course is about the Laplace Transform, a single very powerful tool for understanding the behavior of a wide range of mechanical and electrical systems: from helicopters to... edX | Massachusetts Institute of Technology, MITx |
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On Demand |
Differential Equations: Fourier Series and Partial 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... edX | MITx, Massachusetts Institute of Technology |
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On Demand |
Differential Equations: Linear Algebra and NxN Systems of Differential Equations Differential equations are the mathematical language we use to describe the world around us. Most phenomena can be modeled not by single differential equations, but by systems of... edX | Massachusetts Institute of Technology, MITx |
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From | Massachusetts Institute of Technology, MITx via edX |
---|---|
Hours | 220 |
Instructors | Haynes Miller, Jeremy Orloff, Jennifer French, Kristin Kurianski, Duncan Levear, David Jerison, Arthur Mattuck, Bjorn Poonen |
Language | English |
Subjects | Mathematics Science |
Careers
An overview of related careers and their average salaries in the US. Bars indicate income percentile (33rd - 99th).
Award Winning Photojournalist, Microwave Engineer, Non-Linear Editor $51k
Non-Linear Video Technician $64k
Software Engineer, Linear TV $67k
Non-linear Editing Specialist $68k
Senior Planning Analyst-Linear Solutions $79k
Linear Maintenance Technician $83k
Similar Courses
Sorted by relevance