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Ordinary Differential Equations and Linear Algebra

If you are curious about how we model a phenomena from nature and how we understand its behavior from past to future mathematically, this is the course that will give you answers.

This course provides a comprehensive qualitative and quantitative analysis of ordinary differential equations and linear algebra. This course is divided in two parts to be able to facilitate the learning experience. The first part focuses on 1st order differential equations and linear algebra. The second part is about higher order equations that presents beautiful theory of linearity, as well as the complexity of nonlinearity.

What you'll learn

  • Introduction to differential equations and their solutions
  • Qualitative Analysis via Directional Fields
  • Separable Equations
  • Theory of 1st order Differential Equations, i.e. Picard's Theorem
  • 1st order Linear Differential Equations with two techniques
  • Linear Algebra: Matrix Algebra
  • Solving systems of linear equations by using Gauss Jordan Elimination
  • Invertibility- Determinants
  • Subspaces and Vector Spaces
  • Linear Independency
  • Span
  • Basis-Dimension

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Length 7 weeks
Effort 2 - 8 hours per week
Starts On Demand (Start anytime)
Cost $169
From Rice University via edX
Instructor Betul Orcan-Ekmekci
Download Videos On all desktop and mobile devices
Language English
Subjects Mathematics
Tags Math

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Rating Not enough ratings
Length 7 weeks
Effort 2 - 8 hours per week
Starts On Demand (Start anytime)
Cost $169
From Rice University via edX
Instructor Betul Orcan-Ekmekci
Download Videos On all desktop and mobile devices
Language English
Subjects Mathematics
Tags Math

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