Section 13.1 Vector Functions

• Vector Functions – The Main Idea
• Vector Functions in 3D
• Vector Function using Polar Form
• Perspective Curves
• Parametrizations of Curves

Section 13.2 Derivatives & Integrals of Vector Functions

• Derivatives
• Domain, Continuity, Differentiability
• Equation of a Tangent Line to a Space Curve
• Integrals of Vector Functions

Section 13.3 Arc Length and Curvature

• Arc Length
• Curvature
• More Curvature
• Unit Normal and Binormal Vectors
• Circle of Curvature

Section 13.4 Motion in Space

• Motion in Space
• Circular Motion
• Projectile Motion in 2D
• Tangential and Normal Components of Acceleration
• Boat Crossing a River Problem