5.1 Definition of a Hyperbola 5.2 Standard Equation (Center at origin, transverse axis on x- or y-axis) 5.3 Center not at origin 5.4 Asymptotes 5.5 Rectangular Hyperbola 5.6 Eccentricity 5.7 Tangent and Normal Lines Solved Problems Supplementary Problems

9.1 Introduction 9.2 Parametric equations of conics 9.3 Cycloid and other curves 9.4 Tangent slope from parametric form Solved Problems Supplementary Problems

2.1 Equations of a Line (Point-slope, slope-intercept, two-point form) 2.2 Intercept Form 2.3 Normal Form 2.4 Reduction to Normal Form 2.5 Distance from a Point to a Line 2.6 Families of Lines Solved Problems Supplementary Problems

6.1 Translation of Axes 6.2 Rotation of Axes 6.3 Removal of xy-term (General second-degree equation) 6.4 Invariants under rotation Solved Problems Supplementary Problems