MAT225 SSII Week 4 Summary!

    

My Linux Classroom 1994-2019

AP Calculus AB/BC 1993-2018

AP CSA/CSAB 1988-2019

Regents Math & Physics 1984-2020

Dear Students,

MAT225 SSII Week 4 Summary!

Wow! We worked hard this week trying to make sense of Green's Thorem for Work Line Integrals in the Plane. We even extended Green's Theorem in the Normal Form for Flux Line Integrals in the Plane. We also played with triple integrals and Surface Integrals. 

So, we are now ready to look at Stokes' Theorem and The Divergence Theorem next week. Note that The Divergence Theorem is also known as Gauss's Theorem. You remember Gauss from Physics E&M class and Maxwell's Equations fame, don't you?

These last two theorems are just both of Green's theorems extended from the Plane to Space (2D to 3D). All four theorems are known as the 4 Great Theorems of Multivariate Calculus and form the capstone to our course using all the tools we've developed all summer: Partial Derivatives, Iterated Integrals, Cartesian & Polar Coordinates, Cylindrical & Spherical Coordinates, Gradient Vectors and Gradient Fields, Divergence Functions and Curl Vectors! Holy cow!

Have look at sample code from our review sheet!

Also, sample code for graphing in 2D and 3D.

Even Gemini had a say!

Here's a brief summary of what we covered:

MULTIVARIATE CALCULUS LECTURES

Gauss's Theorems in the Plane

Triple Integrals & Surface Integrals

ELEMENTARY CALCULUS REVIEW FILKS

Tom Lehrer's New Math

Tom Lehrer's The Elements

Tom Lehrer's Lobachevsky

Hope you found that helpful!

Well, that's all folks!

Be well,

A. Jorge García

Applied Math, Physics & CompSci

Nassau Community College (1993-)

http://shadowfaxrant.blogspot.com

http://www.youtube.com/calcpage2009

Baldwin High Retired (1984-2020):

Computing Independent Study Facilitator

Continental Mathematics League Advisor

Baldwin High Chess Club Founder 

Baldwin High Chess Team Coach:

US Chess Federation Affiliate

National CompSci Honor Society Advisor: 

Grace Hopper NY Chapter

2017 PAEMST NYS Secondary Math Nominee: 

https://www.paemst.org

HTH,

A. Jorge Garcia

Teaching With Technology:

Coding since 1975,

NYS Regents Math & Physics since 1984,

College Math & CompSci since 1993,

 Linux Clusters since 2002,

CAS since 2011,

SemiRetirement since 2020!

What's in store for 2029?

 

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 Commercial Server

CSH: Trinket.io

CSH: Trinket.io Sample

APCSA: ide.cs50.io

APCSA: code.cs50.io

APCSA: sandbox.cs50.io

APCSA: openProcessing

APCSA: openProcessing Sample
REPOS: GitHub

Jupyter: CoLab

(Curriculae)

CSH: CodeHS

CSH: Code.org

CSH: Coding In 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 (no longer given during exam)
FREE TEXTBOOKS
REVIEW BARRONS ONLINE 
REVIEW APCENTRAL (exam format)
REVIEW EDX REVIEW MOOC01 

REVIEW UDEMY REVIEW MOOC02 

REVIEW CODING_BAT  

AUDIT CS50

RECOMMENDED AP CALCULUS REVIEW:

CRIB SHEET (not given during exam) 

FREE TEXTBOOKS

REVIEW BARRONS ONLINE 

REVIEW APCENTRAL (AB exam format)

REVIEW APCENTRAL (BC exam format)

REVIEW APCENTRAL (AB exam questions)

REVIEW APCENTRAL (BC exam questions)

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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