Friday, October 28, 2022

Fall 2022 MAT225 Lectures 301 & 302

  

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

Fall 2022 MAT225 Lectures 301 & 302:

Lecture 301, this week on Monday 10/24/2022, was about Iterated Integrals as definite integrals nested one inside the other. We worked on several examples calculating area and volume in terms of the area elements: dxdy, dydx and rdrdtheta.

Lecture 302, this week on Wednesday 10/26/2022, extended the idea of Iterated Integrals to include density and surface area calculations. These ideas will lead in to Line and Surface Integrals.

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!

Next week we will learn about Line Integrals on Monday 10/31/2022 and have our UNIT03 HomeWork Clinic on Wednesday 11/02/2022 .

 

Elementary Calculus:

Reviews G&H AVS, Riemann Sums & FILKs:



Last, but not least, remember this unit's mascot, Grogu, aka The Child from Star Wars The Madalorian 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, October 14, 2022

Fall 2022 MAT225 Lectures 203 & 204

 

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

Fall 2022 MAT225 Lectures 203 & 204:

Lecture 203, this week on Monday 10/10/2022, was about the Multivariate Chain Rule and the Gradient.

Lecture 204, this week on Wednesday 10/13/2022, was about Constrained Optimization using Lagrange Multipliers. 

We also went over some homework problems from Chapter 15: Partial Derivatives.

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

Next week we will review preTEST2A on Monday 10/17/2022 and finish Unit02 on Wednesday 10/19/2022 with TEST2B. So, my next blog post won't be until we finish Lectures 301 & 302 in UNIT03 Chapter 16: Iterated Integration 3/28/2022.

Please remember the following pointers for TEST2B (just like TEST1B):

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 TEST2B is available on BlackBoard for download at 5:30PM so you can setup 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 TEST2A solutions during TEST2B as a model of how to write complete answers.

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

6) Show all work supporting each answer 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, if possible, 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 F SVAFILKs:


Last, but not least, remember this unit's mascot, Hedwig the Owl of Harry Potter 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, October 7, 2022

Fall 2022 MAT225 Lecture 202

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

Fall 2022 MAT225 Lecture 202:


Lecture 202, this week on Monday 10/03/2022, we spent the whole class practicing the Second Partials Test for Optimization! We applied the Hessian Determinant: 

D=(fxx)(fyy)-(fxy)(fyx)

to find out if we had a max, min or saddle point at a given critical point on the surface of z=f(x,y) such that fx=0 and fy=0 simultaneously. In fact, we found that most problems have fxy=fyx so the Hessian Matrix gives: 

D=(fxx)(fyy)-(fxy)^2

instead. Here's an example we did on Colab maximizing the volume of an Aquarium given a constraint.


This week we only had the one lecture as we are off on Wednesday for Yom Kippur. Next week we will continue our work on Partial Derivatives in Chapter 15 on Monday and have a homework clinic on Wednesday!


Elementary Calculus:

Review E Chain Rule & FILKs:


Last, but not least, remember this unit's mascot, Hedwig the Owl of Harry Potter 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!
====================