## 2.1: Basic Properties## Definition 2.1.1: Closed Curve## Definition 2.1.1: Simple CurveCircle, Ellipse, and Cardioid for k ≥ 1 or k ≤ –1## 2.2: Rotation Index## Proposition 2.2.1: Rotation Index of a Curve## Definition 2.2.4: Degree of a Mapping## Definition 2.2.7, Proposition 2.2.8: Winding Number## 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, and Cardioid for k ≥ 2 or k ≤ –2## Page 65 and Figure 2.5: Height Function## Theorem 2.4.5: Four-Vertex Theorem## Problem 2.4.4: Parallel Curves |