Lectures related to Integral Applications: Arc Length

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Explores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.

Differential Geometry: Parametric Curves & Surfaces

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Calculus Applications: Lengths and Surfaces of Revolution

Discusses the applications of calculus in calculating lengths and surfaces of revolution, emphasizing integral calculus and geometric interpretations.

Parametric Curves - Introduction

Introduces parametric curves and discusses tangent vectors and symmetry properties.

Introduction to Derivatives

Introduces derivatives, forward contracts, options, and their financial uses.