Thursday, April 22, 2021

MAT225: Week02 of Unit04 Vector Calculus!

MAT225: Week02 of Unit04 Vector Calculus!






Dear Students, (Week02 of Unit04)

This week we finished our coverage of the 4 Great Theorems: Green's Thm for Work in the Plane, Green's Thm for Flux in the Plane, The Divergence Thm for Flux in Space and Stokes' Thm for Work in Space on Tuesday 2021.0422.

We even talked about Maxwell's Equations! Note above, when you apply The Divergence Theorem to the Divergence Equations, you get the integral form of said equation. Likewise, when you apply Stokes' Theorem to the Curl Equations, you get the integral form of said equation. Cool, right?



On Thursday 2021.0422 we reviewed CHAP17 during our HWK04 Clinic! Please see below for some sample SAGE solutions:

(101) L'Hopital's Calculus Carol Filk: 

(102) Difference Quotient Filk:

(103) Product Rule Filk: 

(201) Quotient Rule Filk: 

(202) Chain Rule Filk: 

(203) s(t), v(t) and a(t) Filk:
(301) a(t), v(t) and s(t) Filk:
(302) Numa Numa Calculus:
(303) Chief Reader Rosenstein:
(401) Tom Lehrer's New Math:
(402) Tom Lehrer's Lobachevsky:
(403) Tom Lehrer's Elements:
(404) Chris Hadfield's Space Oddity on the ISS:
(405) ASAP Science's The Elements:

OK, that's all the updates for now!


Good luck and be well,

MrG


A. Jorge Garcia

Applied Math & CS

Nassau Community College

http://shadowfaxrant.blogspot.com

https://www.patreon.com/calcpage2020


Well, that's all folks.


Teaching With Technology,
A. Jorge Garcia

 
Applied Math, Physics and CS

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

www.youtube.com/calcpage2009

calcpage.redbubble.com

society6.com/calcpage



2015 NYS Secondary Math PAEMST Nominee

Teaching with Technology, 
pastebin youtube slideshare 
mathforum apcommunity sage

(IDEs & Code)
MATH 4H, AP CALC, CSH: SAGECELL
(Curriculae)
CSH: CodeHS
APCSA: Big Java
APCSA: CSAwesome

RECOMMENDED AP COMPSCI REVIEW:
CRIB SHEET (given during exam)
REVIEW BARRONS BOOK (see me)
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) 
REVIEW BARRONS BOOK (see me)
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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