100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached 4.2 TrustPilot
logo-home
Previously searched by you
Previously searched by you
logo
To add items to your wishlist, you must be logged in
Class notes

Calculus 3

Rating
-
Sold
-
Pages
30
Uploaded on
18-08-2024
Written in
2024/2025

This document is a collection of detailed lecture notes from a university-level course on Multivariable Calculus and Physics. It covers essential topics including lines, planes, and surfaces, projectile motion, limits, partial derivatives, optimization, and integration techniques in various coordinate systems (polar, cylindrical, and spherical). Each section of the document is dedicated to a specific topic, providing both theoretical explanations and practical examples. The notes are well-structured to facilitate easy learning and revision, making them an excellent resource for students preparing for exams or needing a thorough review of the material.

Show more Read less
Institution
University Of Illinois - Chicago
Course
MATH 210 (MATH210)










Whoops! We can’t load your doc right now. Try again or contact support.
Report Copyright Violation

Written for

Institution
University Of Illinois - Chicago
Course
MATH 210 (MATH210)
All documents for this subject (10)

Document information

Uploaded on
August 18, 2024
Number of pages
30
Written in
2024/2025
Type
Class notes
Professor(s)
Daniel ingebretson
Contains
All classes

Subjects

Content preview

Math 210 Lecture 12: Triple integrals

Daniel Ingebretson

University of Illinois at Chicago


July 8, 2024

,Areas as double integrals

Z b
Notice that dx =
a

, Areas as double integrals

Z b
Notice that dx =
a




If R is a region in the xy plane, then
ZZ
area of R = dA.
R
$10.49
Get access to the full document:
100% satisfaction guarantee
Immediately available after payment
Both online and in PDF
No strings attached
Get to know the seller
Seller avatar
surajpillarisetti

Get to know the seller

Seller avatar
surajpillarisetti Teachme2-tutor
View profile
Follow You need to be logged in order to follow users or courses
Sold
0
Member since
1 year
Number of followers
0
Documents
10
Last sold
-

0.0

0 reviews

5
0
4
0
3
0
2
0
1
0

Why students choose Stuvia

Created by fellow students, verified by reviews

Quality you can trust: written by students who passed their tests and reviewed by others who've used these notes.

Didn't get what you expected? Choose another document

No worries! You can instantly pick a different document that better fits what you're looking for.

Pay as you like, start learning right away

No subscription, no commitments. Pay the way you're used to via credit card and download your PDF document instantly.

Student with book image

“Bought, downloaded, and aced it. It really can be that simple.”

Alisha Student

Frequently asked questions