Proofs of the Cauchy-Schwarz Inequality and a property of vector projections

Cartesian equations and parametric equations of curves

Proving facts about the derivatives of vector functions including the product rule

Calculating slopes of tangent lines to parametric curves

Tangent lines to parametric equations and related rates examples

Review of vector functions and parametric equations

Review of limits and derivatives of inverse trigonometric functions

Implicit differentiation and physics applications of derivatives

Derivatives of parametric equations and tangent lines