Parametrize curve Study guides, Study notes & Summaries

Jacobian How to use the chain rule? When you have a composition of functions (dw/ds, dw/dt)= (df/du, df/dv)(du/ds, dv/ds, du/dt, dv/dt) so it gives a vector Classify critical points 1. differentiate WRT each variable x and y. 2. set them equal to 0. then solve for the values (often take the equation that is easy to factorize and take its values. 3. replace the values obtained in the other partial equation set equal to 0 to get the points ***trick: you can add the equations some...

Lecture notes were made while watching the recorded lectures assigned to watch. These notes include theory (theorems) and worked out examples from the lecturer. These specific notes cover Line integrals.

This document will go into depth about parametric equations in a calculus-level course. Topics covered will include how to graph a parametric equation, determine the direction of a parametric curve, parametrize linear functions, as well as finding the area under a parametric curve using integration. There are several examples for each sub-topic with work/explanations/diagrams included.