Differential Equations: Linear Algebra and NxN Systems of Differential Equations
- Offered byedX
Differential Equations: Linear Algebra and NxN Systems of Differential Equations at edX Overview
Differential Equations: Linear Algebra and NxN Systems of Differential Equations
at edX
Duration | 12 weeks |
Start from | Start Now |
Mode of learning | Online |
Difficulty level | Intermediate |
Official Website | Go to Website  |
Credential | Certificate |
Differential Equations: Linear Algebra and NxN Systems of Differential Equations at edX Highlights
Differential Equations: Linear Algebra and NxN Systems of Differential Equations
at edX
- Length: 12 Weeks
- Effort: 5-8 hours per week
- Price: FREE Add a Verified Certificate for $75 USD
- Institution MITx
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Differential Equations: Linear Algebra and NxN Systems of Differential Equations at edX Course details
Differential Equations: Linear Algebra and NxN Systems of Differential Equations
at edX
More about this course
- 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 interacting differential equations. These systems may consist of many equations. In this course, we will learn how to use linear algebra to solve systems of more than 2 differential equations. We will also learn to use MATLAB to assist us.
- We will use systems of equations and matrices to explore:
- The original page ranking systems used by Google,
- Balancing chemical reaction equations,
- Tuned mass dampers and other coupled oscillators,
- Threeor more species competing for resources in an ecosystem,
- The trajectory of a rider on a zipline.
- The five modules in this seriesare being offered as an XSeries on edX. Please visit the Differential EquationsXSeries Program Page to learn more and to enroll in the modules.
- *Zipline photo by teanitiki on Flickr (CC BY-SA 2.0)
Differential Equations: Linear Algebra and NxN Systems of Differential Equations at edX Curriculum
Differential Equations: Linear Algebra and NxN Systems of Differential Equations
at edX
Syllabus
Unit 1: Linear Algebra Solving linear systems: elimination and RREF Nullspace, vector space Column space, determinants, and inverses eigenvalues, eigenvectors, and diagonalization Unit 2: Systems of Differential Equations Solving homogeneous NxN systems of differential equations Matrix exponential and diagonalization Decoupling and solving inhomogeneous systems of equations Solving nonlinear systems with MATLAB
Differential Equations: Linear Algebra and NxN Systems of Differential Equations at edX Faculty details
Differential Equations: Linear Algebra and NxN Systems of Differential Equations
at edX
jennifer french
Designation : Digital Learning Scientist and Lecturer University : Massachusetts Institute of Technology
duncan levear
Designation : Postdoctoral Associate/DLL University : Massachusetts Institute of Technology
david jerison
Designation : Professor of Mathematics University : Massachusetts Institute of Technology
bjorn poonen
Designation : Claude Shannon Professor of Mathematics University : Massachusetts Institute of Technology
Differential Equations: Linear Algebra and NxN Systems of Differential Equations at edX Entry Requirements
Differential Equations: Linear Algebra and NxN Systems of Differential Equations
at edX
Eligibility criteria
- 18.031x Introduction to Differential Equations (Scalar equations), 18.032x Differential Equations: 2x2 Systems (2x2 first order differential equations)
Conditional Offer
- Not mentioned
Differential Equations: Linear Algebra and NxN Systems of Differential Equations at edX Admission Process
Differential Equations: Linear Algebra and NxN Systems of Differential Equations
at edX
Important Dates
May 25, 2024
Course Commencement Date
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Differential Equations: Linear Algebra and NxN Systems of Differential Equations
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