Course description
Ordinary Differential Equations and Linear Algebra - Part 1
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.
Who should attend?
Prerequisites
This course require single variable calculus, differentiation and integration.
Course delivery details
This course is offered through Rice University, a partner institute of EdX.
2-8 hours per week
Costs
- Verified Track -$169
- Audit Track - Free
Certification / Credits
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
About edX
edX
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Contact info
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