## 2.1: Basic Properties## Definition 2.1.1: Closed CurveCircle Ellipse Lissajous Figure Flower Cardioid ## Definition 2.1.1: Simple CurveCircle Ellipse Cardioid (Simple for k ≥ 1 or k ≤ –1. For –1 < k < 1, the
cardioid is not simple.)## 2.2: Rotation Index## Proposition 2.2.1: Rotation Index of a Curve## Example 2.2.2: Figure-Eight Curve## Definition 2.2.3: Degree of a Mapping## 2.3: Isoperimetric Inequality## Theorem 2.3.1: Isoperimetric Inequality## 2.4: Curvature, Convexity, and the Four-Vertex Theorem## Definition 2.4.2: ConvexCircle Ellipse Cardioid (Convex for k ≥ 2 or k ≤ –2. For –2 < k < 2, the
cardioid is not convex.)## Page 54 and Figure 2.6: Height Function## Theorem 2.4.5: Four-Vertex Theorem |