## Differential Equations

**The Language of Differential Equations**

**Slope Fields**

**Slope Field Grapher**

**Euler's Method Graphically**

**Euler's Method Analytically**

**Separation of Variables**

**Newton's Model of Cooling**

**Logistic Growth Model**

**AP Calculus (BC) Topics**

II.

**Derivatives**

**E.**

**Application of Derivatives**: Geometric interpretation of differential equations via slope fields and the relationship between slope fields and solution curves for differential equations. Numerical solution of differential equations using Euler's method.

III.

**Integrals**

**E.**

**Applications of antidifferentiation**: Solving separable differential equations and using them in modeling. In particular, studying the equation y' = ky and exponential growth. Solving logistic differential equations and using them in modeling.