WEEK03: Iterated Integrals MAT225 SII 2023

  

(My AP Classroom running Linux from 1994-2018)

WEEK03: Iterated Integrals MAT225 SII 2023

Dear Students,

Congratulations! You did it! You made it through your third week of MAT225 Multivariate Calculus! 

We covered chapter 16 on Iterated Integrals and part of Chapter 17 on Line Integrals. We learned how to set up area, volume and mass problems as double integrals. We practiced working with different regions on the XY-plane using these area elements: dydx, dxdy and rdrd𝜭. We also worked with line integrals for calculating mass and work. Last, but not least, we played with conservative fields and the Fundamental Theorem of Line Integrals.

Oh, don't forget Fubini's Theorem!

Please see our D2L site for screencasts, sample code and handwritten notes: 301-303.

Today we are taking TEST3B. Please note there is no test next week (see syllabus). We will spend the whole week finishing up Chapter 17 dealing with line integrals in the plane and surface integrals in space as well as triple integration. We will learn: 

The 4 Great Theorems

Green's Theorem for Work

Green's Theorem for Flux

The Divergence Theorem

Stokes' Theorem

 

Elementary Calculus Review FILKs:

Be well,

A. Jorge Garcia

Applied Math & CS

Nassau Community College

Well, that's all folks,

A. Jorge Garcia

Applied Math, Physics & CS

Nassau Community College

A. Jorge García

Applied Math, Physics, CS

Nassau Community College

http://shadowfaxrant.blogspot.com

http://www.youtube.com/calcpage2009

Computing Independent Study Facilitator (Baldwin High Retired)

Continental Mathematics League Advisor (Baldwin High Retired)

Baldwin High Chess Club & Chess Team Founder (US Chess Federation Club Baldwin High Retired)

National Computer Science Honor Society Advisor (Grace Hopper NY Chapter Baldwin High Retired)

2017 PAEMST NYS Mathematics Secondary Nominee https://www.paemst.org (Baldwin High Retired)

HTH & stay safe,

A. Jorge Garcia

Teaching With Technology:

Coding since 1975,

HS Math & Physics since 1984,

College Math & CompSci since 1993,

 Linux Clusters since 2002,

CAS since 2011,

Retirement since 2020?

 

AP Computer Science: 1988-2019

AP Calculus BC: 1993-2018 

Applied Math, Physics and CS

Updated Resume!

Please support my classroom:
www.patreon.com/calcpage2020

https://www.udemy.com/user/alvar-garcia-fernandez

calcpage.redbubble.com

society6.com/calcpage

https://www.ebay.com/usr/sffbclub  

2017 NYS Secondary Math PAEMST Nominee

pastebin youtube slideshare

(IDEs & Code)
MATH 4H, AP CALC, CSH: SAGECELL

CSH: SAGECELL Sample

CSH: SAGE Server

CSH: SAGE Commercial Server

CSH: Trinket.io

CSH: Trinket.io Sample

APCSA: ide.cs50.io

APCSA: code.cs50.io

APCSA: sandbox.cs50.io

APCSA: replit.com

APCSA: openProcessing

APCSA: openProcessing Sample
REPOS: GitHub

Jupyter: CoLab

(Curriculae)

CSH: CodeHS

CSH: Code.org

CSH: Coding In Python

CSH: Interactive Python

CSH: Think Like A Computer Scientist

CSH: Runestone Academy

APCSA: Big Java

APCSA: CSAwesome

APCSA: Nature Of Code

APCSA: The Coding Train (site)

APCSA: The Coding Train (youtube)

APCSA: AP Teacher Community

APCSA: AP Central

RECOMMENDED AP COMPSCI REVIEW:

CRIB SHEET (given during exam)
FREE TEXTBOOKS
REVIEW BARRONS ONLINE 
REVIEW APCENTRAL (past FRQs)
REVIEW EDX REVIEW MOOC01 

REVIEW UDEMY REVIEW MOOC02 

REVIEW CODING_BAT 

REVIEW PRACTICE_IT 
REVIEW RUNESTONE 
AUDIT CS50

RECOMMENDED AP CALCULUS REVIEW:

CRIB SHEET (not given during exam) 

FREE TEXTBOOKS

REVIEW BARRONS ONLINE 

REVIEW APCENTRAL (latest AB FRQs)

REVIEW APCENTRAL (latest BC FRQs)

REVIEW APCENTRAL (older AB FRQs)

REVIEW APCENTRAL (older BC FRQs)

REVIEW EDX MOOC01 

REVIEW COURSERA MOOC02

XTRA CREDIT FILKS RUBRIC 

(1 video = up to 5 bonus points):

1) Use a recognizable tune.

2) Karaoke entire song changing up the words (about STEAM).

3) You are Singing, Dancing or Playing an instrument.

4) You upload your video to YouTube and provide the url.

5) YouTube Description includes the lyrics.

XTRA CREDIT ARTICLES RUBRIC

(up to 5 articles = 1 bonus point each):

1) Cover Sheet is a Summary of the article.

2) FullPage, 12 pt, DoubleSpaced, 1" Margin.

3) Article has to be STEAM related

4) Article has to be a current event.

5) Copy of entire article is attached.

NOTE TO READER:

In recent years our independent study class has been about the care and feeding of Linux Clusters: How to Build A Cluster, How To Program A Cluster and What Can We Do With A Cluster? 

BTW, Shadowfax is the name of the cluster we build! FYI, we offer 4 computing courses: 

CSH: Computer Science Honors with an introduction to coding in Python using SAGE, IDLE, VIDLE and Trinket, 

CSA: AP Computer Science A using CS50, this IDE and this IDE and OpenProcessing, 

CSI: Computing Science Independent Study using OpenMPI and 

CSL: Computing Science Lab which is a co-requisite for Calculus students using Computer Algebra Systems such as SAGE.

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CIS(theta) aka CSI

Membership Hall Of Fame!

CIS(theta)* 2020-2021: 

DiegoM(12), GeordiP(12), MattB(12), MattO(12), MelanyeCG(12), NickE(12), WilliamF(12)

*Honorable Mention: I retired before we got to start our project this year...

CIS(theta) 2019-2020:

AaronH(12), AidanSB(12), JordanH(12), PeytonM(12)

CIS(theta) 2018-2019:

GaiusO(11), GiovanniA(12), JulianP(12), TosinA(12)

CIS(theta) 2017-2018:

BrandonB(12), FabbyF(12), JoehanA(12), RusselK(12)

CIS(theta) 2016-2017: 

DanielD(12), JevanyI(12), JuliaL(12), MichaelS(12), YaminiN(12)

CIS(theta) 2015-2016: 

BenR(11), BrandonL(12), DavidZ(12), GabeT(12), HarrisonD(11), HunterS(12), JacksonC(11), SafirT(12), TimL(12)

CIS(theta) 2014-2015: 

BryceB(12), CheyenneC(12), CliffordD(12), DanielP(12), DavidZ(12), GabeT(11), KeyhanV(11), NoelS(12), SafirT(11)

CIS(theta) 2013-2014: 

BryanS(12), CheyenneC(11), DanielG(12), HarineeN(12), RichardH(12), RyanW(12), TatianaR(12), TylerK(12)

CIS(theta) 2012-2013: 

Kyle Seipp(12)

CIS(theta) 2011-2012: 

Graham Smith(12), George Abreu(12), Kenny Krug(12), Lucas Eager-Leavitt(12)

CIS(theta) 2010-2011: 

David Gonzalez(12), Herbert Kwok(12), Jay Wong(12), Josh Granoff(12), Ryan Hothan(12)

CIS(theta) 2009-2010: 

Arthur Dysart(12), Devin Bramble(12), Jeremy Agostino(12), Steve Beller(12)

CIS(theta) 2008-2009: 

Marc Aldorasi(12), Mitchel Wong(12)

CIS(theta) 2007-2008: 

Chris Rai(12), Frank Kotarski(12), Nathaniel Roman(12)

CIS(theta) 1988-2007: 

A. Jorge Garcia, Gabriel Garcia, James McLurkin, Joe Bernstein, ... too many to mention here!

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