Week 01-02: Introduction to parametric equation and calculus with parametric equation

Learning outcomes:

In this chapter student will learn new ways to define curves in the plane. Instead of taking a curve as the graph of a function or equation, it is taken as the path of a moving particle whose position is changing over time. Then each of the x- and y-coordinates of the particle’s position becomes a function of a third variable t.

 

Lesson Plan:

Lecture 01.         Introduction to parametric equation

Lecture 02.         Parametrization of plane curve

Lecture 03.         Finding of cartesian from parametric equation

Lecture 04.         Tangents to Parametrized Curves

Lecture 05.        Length of a Parametrically Defined Curve

Lecture 06.        Areas of Surfaces of Revolution for Parametrized Curves

Download Files

calculus-with-parametric-equation.pdf (0.48 MB )

introduction-to-parametric-equations.pdf (0.47 MB )