Unit route
Study lessons in order, complete the pathway selected by diagnostic evidence, conduct the investigation, then demonstrate mastery. Reassessment follows correction and reflection.
Weeks 33, 34 · 6 detailed lessons
Differential Equations & Growth Models
How do differential equations encode change, and how do slope fields and initial conditions determine model behavior?
Pathways
Lesson 01 · Week 33
Differential Equations and Slope Fields
A differential equation specifies a relationship between a quantity and its rate. Slope fields visualize local directions; initial conditions select one solution from a family.…
Lesson 02 · Week 33Verifying Solutions to Differential Equations
A differential equation specifies a relationship between a quantity and its rate. Slope fields visualize local directions; initial conditions select one solution from a family.…
Lesson 03 · Week 33Separation of Variables
A differential equation specifies a relationship between a quantity and its rate. Slope fields visualize local directions; initial conditions select one solution from a family.…
Lesson 04 · Week 34Exponential Growth and Decay Models
A differential equation specifies a relationship between a quantity and its rate. Slope fields visualize local directions; initial conditions select one solution from a family.…
Lesson 05 · Week 34Euler's Method
A differential equation specifies a relationship between a quantity and its rate. Slope fields visualize local directions; initial conditions select one solution from a family.…
Lesson 06 · Week 34Model Comparison, Equilibria & Limitations
A differential equation specifies a relationship between a quantity and its rate. Slope fields visualize local directions; initial conditions select one solution from a family.…