• Length:
    7 Weeks
  • Effort:
    2–8 hours per week
  • Price:

    FREE
    Add a Verified Certificate for $169 USD

  • Institution
  • Subject:
  • Level:
    Intermediate
  • Language:
    English
  • Video Transcript:
    English
  • Course Type:
    Self-paced on your time

Prerequisites

This course require single variable calculus, differentiation and integration.

About this course

Skip About this course

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

Skip 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

Meet your instructors

Betul Orcan-Ekmekci
Assistant Teaching Professor
Rice University

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