Paul Online Math Notes Green S Theorem

The binomial theorem when dealing with really large values for n or when we are looking for only one specific term pascal s triangle is still a lot of work.

Paul online math notes green s theorem. Here is a set of notes used by paul dawkins to teach his calculus iii course at lamar university. Included are detailed discussions of limits properties computing one sided limits at infinity continuity derivatives basic formulas product quotient chain rules l hospitals rule increasing decreasing concave up concave down related rates optimization and basic integrals basic formulas. Paul s online math notes. Contained in this site are the notes free and downloadable that i use to teach algebra calculus i ii and iii as well as differential equations at lamar university.

In this case the boundary curve c c will be where the surface intersects the plane z 1 z 1 and so will be the curve. Use green s theorem to calculate line integral. Video on green s theorem. Topics covered are three dimensional space limits of functions of multiple variables partial derivatives directional derivatives identifying relative and absolute extrema of functions of multiple variables lagrange multipliers double cartesian and polar coordinates and triple integrals.

Mathematics stack exchange is a question and answer site for people studying math at any level and professionals in related fields. Here is a set of notes used by paul dawkins to teach his calculus i course at lamar university. 3 2 graphing higher degree polynomials. 3 5 asymptotes of rational functions.

The notes contain the usual topics that are taught in those courses as well as a few extra topics that i decided to include just because i wanted to. The department of mathematics ucsb homepage. So the boundary curve will be the circle of radius 2 that is in the plane z 1 z 1. University of california santa barbara ucsb math home page graduate information.

3 1 the remainder theorem and the factor theorem. 4 4 properties of logarithms. Welcome to my math notes site. 3 4 the fundamental theorem of algebra.

Need help on setting up a double integral over a given region in polar coordinates. It only takes a minute to sign up. Green s theorem let c c be a positively oriented piecewise smooth simple closed curve and let d d be the region enclosed by the curve. Green s theorem part 1 2 mathispower flux form of green s theorem mathispower lesson readings.

X 2y 4 x4 8x3y 24x2y2 32xy3 16y x 2y 4 1x 2y 0 4x3 2y 1 6x2 2y 2 4x 2y 3 1x0 2y 4. If p p and q q have continuous first order partial derivatives on d d then c p dx qdy d q x p y da c p d x q d y d q x p y d a. The idea behind green s theorem mathinsight when green s theorem applies mathinsight green s theorem ltcc lesson practice exercises activities. 4 5 exponential and logarithmic equations.