Friday, November 25, 2022

Fall 2022 MAT225 Lecture 403

    

(My AP Classroom from 1988-2019)
(Running Linux from 1994-2018)

Fall 2022 MAT225 Lecture 403:

Lecture 403, this week on Monday 11/21/2022, was about extending Green's Theorem Normal Form. We talked about calculating Flux through a 2D surface in 3D rather than accross a 1D boundary in 2D. We also introduced the Divergence Theorem which makes this all much simpler!


This week on Wednesday 11/23/2022, all evening classes went on vacation so we could go to GrandMa's house for Thanksgiving on Thursday! 


Next week on Monday 11/28/2022 we will finish up our curriculum with Stokes' Theorem for Line Integrals in Space calculating Work extending Green's Theorem Tangential Form from the Plane. The rest of the course is devoted to review and testing. 


It goes without saying that we coded in Jupyter Notebooks using Markdown and Latex to anotate our work as well as Python and Sympy to check our work!


Test taking tips:

0) During any zoom session, remember: No pajamas, no bedrooms!


1) Place your webcam such that I can see your workspace during the exam. No cellphones!  But Calculators, Laptops or Tablets are ok.


2) A copy of TEST3B is available for download at 5:30PM from BlackBoard so you can set up how you want to take the exam before class starts at 5:45PM (tablet and stylus or pencil and paper).


3) You may use anything on our BlackBoard site to help you during the test.


4) Consult our TEST3A solutions during TEST3B as a model of how to write complete answers. Show all work supporting each answer.


5) Avail yourself of any computing environment you are familiar with to check your work: Graphing Calculator, Jupyter, etc.


6) Show all work in the spaces provided for each question or clearly labeled on separate sheets of paper.


7) Avoid 1/2 credit errors (round off error, missing units, incorrect notation, incomplete work, illegible work, etc).


8) You may leave class when you are done. Don't be in a hurry, you have all class period. Carefully check all your work, time permiting, before you leave class.


9) Return clearly legible copies of all your work as a single pdf file via school email no later than 15 minutes after you leave class or 8PM, whichever comes first (gives you time to use CAMScanner or Squid to prepare your work for uploading). Class ends 7:45PM.



Elementary Calculus

Review L: 

Power Series & FILKs



Last, but not least, remember this unit's mascot, Cody The Coder, of the codehs.org free online python curriculum fame, is here to cheer you on!





That's it for now. I hope you find this note is helpful and I hope that you will learn a lot this semester in my class!

 

Be well,

A. Jorge Garcia

Applied Math & CS

Nassau Community College


Well, that's all folks!

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

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
Jupyter: CoLab

(Curriculae)
CSH: CodeHS
CSH: Code.org
APCSA: Big Java
APCSA: CSAwesome
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.

====================
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!
====================

Friday, November 18, 2022

Fall 2022 MAT225 Lectures 401 & 402

    

(My AP Classroom from 1988-2019)
(Running Linux from 1994-2018)

Fall 2022 MAT225 Lectures 401 & 402:

Lecture 401, this week on Monday 11/14/2022, was about Line Integrals to find the work done to stay on the trajectory C moving within a Force Field F using Green's Theorem Tangential Form. We also worked with Green's Theorem Normal Form to calculate Flux in the Plane.


Lecture 402, this week on Wednesday 11/16/2022, we extended our understanding of Double Integrals in Cartesian and Polar Coordinates to Triple Integrals in Cartesian and Cylindrical Coordinates. 


Next week is Thanksgiving week so we only meet on Monday 11/21/2022 to extend Green's Theorem Normal Form to find Flux using Line Integrals in the Plane to the Divergence Theorem to find Flux using Surface Integrals in Space. Monday 11/28/2022 will finish up our curriculum with Stokes' Theorem for Line Integrals in Space calculating Work extending Green's Theorem Tangential Form from the Plane. The rest of the course is devoted to review and testing. 


It goes without saying that we coded in Jupyter Notebooks using Markdown and Latex to anotate our work as well as Python and Sympy to check our work!


Test taking tips:

0) During any zoom session, remember: No pajamas, no bedrooms!


1) Place your webcam such that I can see your workspace during the exam. No cellphones!  But Calculators, Laptops or Tablets are ok.


2) A copy of TEST3B is available for download at 5:30PM from BlackBoard so you can set up how you want to take the exam before class starts at 5:45PM (tablet and stylus or pencil and paper).


3) You may use anything on our BlackBoard site to help you during the test.


4) Consult our TEST3A solutions during TEST3B as a model of how to write complete answers. Show all work supporting each answer.


5) Avail yourself of any computing environment you are familiar with to check your work: Graphing Calculator, Jupyter, etc.


6) Show all work in the spaces provided for each question or clearly labeled on separate sheets of paper.


7) Avoid 1/2 credit errors (round off error, missing units, incorrect notation, incomplete work, illegible work, etc).


8) You may leave class when you are done. Don't be in a hurry, you have all class period. Carefully check all your work, time permiting, before you leave class.


9) Return clearly legible copies of all your work as a single pdf file via school email no later than 15 minutes after you leave class or 8PM, whichever comes first (gives you time to use CAMScanner or Squid to prepare your work for uploading). Class ends 7:45PM.



Elementary Calculus:

Review J&K: 

By Parts & Partial FractionsFILKs





Last, but not least, remember this unit's mascot, Cody The Coder, of the codehs.org free online python curriculum fame, is here to cheer you on!





That's it for now. I hope you find this note is helpful and I hope that you will learn a lot this semester in my class!

 

Be well,

A. Jorge Garcia

Applied Math & CS

Nassau Community College


Well, that's all folks!

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

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
Jupyter: CoLab

(Curriculae)
CSH: CodeHS
CSH: Code.org
APCSA: Big Java
APCSA: CSAwesome
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.

====================
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!
====================