### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# ADV MULTIVAR CALC 1 MATH 324

UW

GPA 3.76

### View Full Document

## 56

## 0

## Popular in Course

## Popular in Mathematics (M)

This 4 page Class Notes was uploaded by Addison Beer on Wednesday September 9, 2015. The Class Notes belongs to MATH 324 at University of Washington taught by Travis Kopp in Fall. Since its upload, it has received 56 views. For similar materials see /class/192063/math-324-university-of-washington in Mathematics (M) at University of Washington.

## Reviews for ADV MULTIVAR CALC 1

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/09/15

Math 324 Midterm Review Sheet Fall 20081 This is a list of topics you need to be familiar with as covered in class and on the home work for the midterm on Friday along with the sections in the book where they are discussed Preliminaries 0 partial differentiation 143 o polar coordinates 103 1 convert functions fy to polar coordinates 2 polar curves 7 90 0 vectors 1 basic properties 122 2 dot product7 cross product 1237 124 3 equation for a plane 125 o parameterized curves 131 Double Integrals o iterated integrals7 Fubini7s theorem7 partial integration 152 0 type I type II regions7 changing order of integration 153 0 double integration in polar coordinates 154 o calculating mass7 center of mass7 moments of inertia 155 0 change of variables in two variables 159 Line Integrals 0 line integral of a function with respect to arclength 162 0 line integral of a function with respect to X and y 162 Surface Integrals o parameterized surfaces 166 1 surfaces of graphs7 eg z fy 2 planes 3 the sphere of radius R 0 surface integrals of functions 167 Good Luck on the exam Math 324 Final Review Sheet Fall 2008 1 This is a list of topics you need to be familiar with as covered in class and on the homework for the nal on Thursday along with the sections in the book where they are discussed Preliminaries 0 partial differentiation 143 o polar coordinates 103 1 convert functions fy to polar coordinates 2 polar curves 7 90 0 vectors 1 basic properties 122 2 dot product7 cross product 1237 124 3 equation for a plane 125 o parameterized curves 131 Chain Rule and Gradient o generalized chain rule 145 0 gradient 146 1 de nition and interpretation of gradient 2 chain rule in terms of gradient 3 directional derivatives 4 using the gradient to nd a normal to surface de ned by Fy7 z k Double Integrals o iterated integrals7 Fubini7s theorem7 partial integration 152 0 type I type ll regions7 changing order of integration 153 0 double integration in polar coordinates 154 o calculating mass7 center of mass7 moments of inertia 155 0 change of variables in two variables 159 Triple Integrals 0 type l7 ll and Ill regions7 changing order of integration 157 o calculating mass7 center of mass7 moments of inertia 156 0 change of variables in three variables 159 o spherical and cylindrical coordinates and integration 158 Math 324 Final Review Sheet Line Integrals 0 line integral of a function with respect to arclength 162 o calculating mass7 center of mass7 moments of inertia 162 0 line integral of a function with respect to X and y 162 0 line integral of a vector eld 162 Surface Integrals o parameterized surfaces 166 1 surfaces of graphs7 eg z fy 2 planes 3 the sphere of radius R 0 surface integrals of functions 167 o calculating mass7 center of mass7 moments of inertia 167 o orientation on surfaces 167 1 de nition of an orientation 2 induced orientation on boundary curves 0 surface integrals ux of a vector eld 167 Derivatives o the gradient Vf 146 o in two dimensions7 the vector eld derivative dF Q1 7 Pg 164 o in three dimensions7 the curl V gtlt F 165 o divergence V F 165 o Laplace operator sz V Vf 165 0 basic properties of these 1 dVf07 VgtltVf0 2 divcurlF0 Fall 2008 2 Math 324 Final Review Sheet Fall 2008 3 Theorems 0 Fundamental Theorem of Line lntegrals 163 1 statement of theorem 2 conservative vector elds have path independent line integrals 3 vector elds with path independent line integrals are conservative o Green7s Theorem 164 statement of Green7s Theorem using Green7s Theorem to calculate area 1 2 3 simple connectedness in the plane 4 if F is de ned on a simply connected region and dF E 07 then F is conservative 5 Green7s theorem on regions 77with holes 7 ie not simply connected 0 Stoke7s Theorem 168 H statement of Stoke7s Theorem 3 simple connectedness in space 9 if F is de ned on a simply connected region in space and V gtlt F E 07 then F is conservative r ux of curl F across a closed surface is always 0 o Divergence Theorem 169 Good Luck on the exam

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "I used the money I made selling my notes & study guides to pay for spring break in Olympia, Washington...which was Sweet!"

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.