Functions and calculus

Differential equations

Differential equations: solutions and equilibria, Slope fields, Separation of variables and initial conditions, Exponential growth and decay, Newton's law of cooling, Euler's method, Logistic growth: carrying capacity and fastest growth, The logistic solution

Slope fields, separation of variables, growth models

Practice

Lessons, in order

  1. 1. Differential equations: solutions and equilibria Calculus AB (AP-aligned)
  2. 2. Slope fields Calculus AB (AP-aligned)
  3. 3. Separation of variables and initial conditions Calculus AB (AP-aligned)
  4. 4. Exponential growth and decay Calculus AB (AP-aligned)
  5. 5. Newton's law of cooling Calculus AB (AP-aligned)
  6. 6. Euler's method Calculus BC (AP-aligned)
  7. 7. Logistic growth: carrying capacity and fastest growth Calculus BC (AP-aligned)
  8. 8. The logistic solution Calculus BC (AP-aligned)