Differential Equations View more

Go on a grand tour of differential equations and get the hands-on experience needed to master the essentials.

Book 30 Lessons

Course description

Differential equations show up in just about every branch of science, including classical mechanics, electromagnetism, circuit design, chemistry, biology, economics, and medicine.

From analyzing the simple harmonic motion of a spring to looking at the population growth of a species, differential equations come in a rich variety of different flavors and complexities.

Topics covered

  • Applications in Engineering
  • Applications in Physics
  • Direction Fields
  • Euler's Method
  • Integrating Factors
  • Linear Systems
  • Matrix Exponential
  • Modeling
  • Perturbation Method
  • Phase Portraits
  • Separable First-Order Equations
  • Wronskian Determinants

Prerequisites and next steps

You’ll need a grasp of the basic derivative and integration rules covered in a first semester calculus course. Integration techniques are useful to know, but not necessary. Knowing basic linear algebra up to eigenvalues and eigenvectors and multivariable calculus up to gradients is essential.