(My High School Class Room Circa 2018)
MAT122 Week 16 Update: Completing UNIT05!
Dear Students,
Yeah, you made it! This was our last week of classes, except for the final this coming Wednesday, so this will be our last post.
All we did this week was review for our final. Wednesday we went over some good practice problems from Chapter 5 HomeWork. Thursday and Friday were devoted to going over preTEST5A. Good luck on TEST5B next week!
See below for all our class notes, screencasts and FILKS or DOX! Hope you learned alot this semester. Have a great and well deserved holiday. Hope to see you in MAT123 or MAT225 Spring or Summer semester 2022!
Back by popular demand, UNIT05 SquidNotes:
501 (PART01)
501 (PART02)
502
503
504
505
506
507
508
401
402
403
404 PART01
404 PART02
405
406 PART01
406PART02
407 preTEST4A (start)
408 preTEST4A (finish)
301
302
303
304
305
306
307 preTEST3A (start)
308 preTEST3A (finish)
201
202
203
204
205
preTEST2A
101
102
103
104
105
106
preTEST1A
See our Screencasts on Blackboard & Patreon!
Our Calculus FILKs & DOX:
That's it for now. Enjoy your weekend!
MAT122 Week 15 Update: Continuing UNIT05!
Dear Students,
This week we continued our introduction to Integral Calculus! On Wednesday, we talked about Riemann Sums and wrote a program to calculated them using TI-BASIC. Thursday was all about the difference between definite and indefinte integration. Today we worked on U-Substitution, an integration technique that unravels integrands based on the Chain Rule.
Back by popular demand, UNIT05 SquidNotes:
501 (PART01)
501 (PART02)
502
503
504
505
401
402
403
404 PART01
404 PART02
405
406 PART01
406PART02
407 preTEST4A (start)
408 preTEST4A (finish)
301
302
303
304
305
306
307 preTEST3A (start)
308 preTEST3A (finish)
201
202
203
204
205
preTEST2A
101
102
103
104
105
106
preTEST1A
See our Screencasts on Blackboard & Patreon!
Our Calculus FILKs & DOX:
That's it for now. Enjoy your weekend!
MAT122 Week 14 Update: Starting UNIT05!
Dear Students,
This week we started Integral Calculus! We had TEST4B on Wednesday, our last test on Differential Calculus alone. Thursday we talked about anti-derivative functions and indefinite integrals. Today we talked about the definite integral as a limiting process!
Back by popular demand, UNIT05 SquidNotes:
501 (PART01)
501 (PART02)
502
See our Screencasts on Blackboard & Patreon!
Our Calculus FILKs & DOX:
That's it for now. Enjoy your weekend!
MAT122 Week 13 Update: Reviewing UNIT04!
Dear Students,
This week we finished going over preTEST4A on Wednesday 11/24 right before our well deserved Thanksgiving Break. TEST4B won't be until 12/1 the following Wednesday! Sorry... no new ScreenCast or Filks.
Back by popular demand, UNIT04 SquidNotes:
401
402
403
404 PART01
404 PART02
405
406 PART01
406PART02
407 preTEST4A (start)
408 preTEST4A (finish)
See our Screencasts on Blackboard & Patreon!
Our Calculus FILKs & DOX (last week):
That's it for now. Enjoy your weekend!
MAT122 Week 12 Update: Finishing UNIT04!
Dear Students,
This week we nearly finished UNIT04 Applications of the Derivative. Thursday and Friday focused on Special Limits using L'Hopital's Rule. Friday was devoted to starting our review of preTEST4A.
Next week we will finish going over preTEST4A on Wednesday 11/24 right before our well deserved Thanksgiving Break. TEST4B won't be until 12/1 the following Wednesday!
Back by popular demand, UNIT04 SquidNotes:
401
402
403
404 PART01
404 PART02
405
406 PART01
406PART02
407 preTEST4A
See our Screencasts on Blackboard & Patreon!
Don't forget our Calculus FILKs & DOX:
That's it for now. Enjoy your weekend!
MAT122 Week 11 Update: More UNIT04!
Dear Students,
This week we continued UNIT04 Applications of the Derivative. We practiced the Candidate's Theoream and we reviewed Related Rates, Chain Rule and Implicit Differentiation. That was on Wednesday and Friday as we were off Thursday for Veterans' Day.
Back by popular demand, UNIT04 SquidNotes:
401
402
403
404 PART01
404 PART02
See our Screencasts on Blackboard & Patreon!
Don't forget our Calculus FILKs & DOX:
That's it for now. Enjoy your weekend!
MAT122 Week 10 Update: UNIT04 Begins!
Dear Students,
This week we started UNIT04 Applications of the Derivative. We practiced the 1st and 2nd Derivative Tests. We found out when functions are increasing, decreasing, concave up or concave down. We applied the Candidate's Theoream and we reviewed Newton's Method. That was on Thursday and Friday. Wednesday was devoted to finishing UNIT03 Differentiation Rules with TEST3B.
Back by popular demand, UNIT04 SquidNotes:
401
402
See our Screencasts on Blackboard & Patreon!
That's it for now. Enjoy your weekend!
MAT122 Week 9 Update: UNIT03 Completed!
Dear Students,
This week we don't really have any new screencasts as we finished all the derivative rules and some loose ends from last week and we also reviewed for TEST3B which will be next week on Wednesday 11/3/21! Here's preTEST3A and solutions.
Don't forget our Calculus FILKs & DOX:
That's it for now. Enjoy your weekend!
MAT122 Week 8 Update: UNIT03 Continued!
Dear Students,
Oh boy, are we in the thick of it now!
Wednesday was all about the Chain Rule and Implicit Differentiation. We even played with Related Rates!
Thursday was all about Optimization using the 1st Derivative Test and the Candidates Theorem! The Candidates Theorem is so important that we have lots of names for it. You may also know it as the MIN/MAX Theorem or the Closed Interval Test. We even derived the Marginal Cost vs. Marginal Revenue Theorem from Micro Economics along the way.
Friday was a little bit of review plus rounding out our derivative rules. In addition to the Product, Quotient and Chain Rules, we now know the Power, Exponential, Logarithmic and Trigonometric Rules. In fact, we used or derived most all of the first page of this reference sheet that I wrote using Google Docs and LaTEX from my summer course that also used Python and Jupyter Notebooks instead of Graphing Calculators!
See our Screencasts on Blackboard & Patreon!
Don't forget our Calculus FILKs & DOX:
That's it for now. Enjoy your weekend!
MAT122 Week 7 Update: UNIT03 Started!
Dear Students,
Ok, so we had our first test on differentiation (TEST2B) on Wednesday.
Thursday and Friday we used the Difference Quotient definition of the Derivative to derive the Product Rule and the Quotient rule. These are great for combining functions in many different ways and still getting a handle on the derivative. Friday was all about derivatives of trig functions as well as parametrically defined trajectories, aka 2D vector valued fucntions!
See our Screencasts on Blackboard & Patreon!
Don't forget our Calculus FILKs:
MAT122 Week 6 Update: UNIT02 Finished!
Dear Students,
We have finally completed our introduction to Differentiation! We talked about Newtonian vs Leibniz' Notation and time based derivatives: Displacement, Velocity and Accelreation. BTW, you don't want to be a y'''(t)!
We derived Newton's Method for finding roots and wrote a program to estimate roots. Watch out for those pesky pathological functions! We found out when the derivative exists. We even used numerical methods, such as convergence tables, to find when a limit exits.
Then we went over homework from the first half of Chapter 3. Last but not least, we went over preTEST2A complete with solutions!
See our Screencasts on Blackboard & Patreon!
Don't forget our FILKs and our investigation into our FILK's original tunes:
That's it for now. Enjoy your weekend!
Be well,
A. Jorge Garcia
Applied Math & CS
Nassau Community College
http://shadowfaxrant.blogspot.com
https://www.patreon.com/calcpage2020
MAT122 Week 5 Update: UNIT02 Derivatives!
Dear Students,
We continued our discussion about Continuity and Differentiabilty.
We reviewed the definitions of Continuity and Differentiability at a Point.
We practiced applying the "Cuban Theorem" and the Difference Quotient.
See our Screencasts on Blackboard & Patreon!
Don't forget our FILKs and our investigation into our FILK's original tunes:
That's it for now. Enjoy your weekend!
Be well,
A. Jorge Garcia
Applied Math & CS
Nassau Community College
http://shadowfaxrant.blogspot.com
https://www.patreon.com/calcpage2020
MAT122 Week Four Update: UNIT02 Start!
Dear Students,
This week started off with TEST1B on Wednesday ending UNIT01 primarily about preCalculus techniques: Algebraic, Trigonometric and Garphing Calculator.
Then on Thursday and Friday we introduced the Difference Quotient and the notion of the derivative as the slope of a tangent line and a rate of change!
See our Screencasts on Blackboard & Patreon!
Don't forget our FILKs about Continuity and Limits:
That's it for now. Enjoy your weekend!
Be well,
A. Jorge Garcia
Applied Math & CS
Nassau Community College
http://shadowfaxrant.blogspot.com
https://www.patreon.com/calcpage2020
MAT122 Week Three Update: UNIT01 Review!
Dear Students,
This will be a short post. We don't have any new lessons. We don't have any new screencasts. We don't have any new Filks. This week was all about reviewing UNIT01 preCalculus in preparation for next week's TEST1B.
On Wednesday 9/15 we reviewed HWK01. We were off on Thursday for Yom Kippur. Friday 9/17 we covered preTEST1B and here's the solutions.
That's it for now. Enjoy your weekend!
Be well,
A. Jorge Garcia
Applied Math & CS
Nassau Community College
http://shadowfaxrant.blogspot.com
https://www.patreon.com/calcpage2020
MAT122 Week Two Update: Exponentials and Conics!
Dear Students,
OK, we just finished a very thorough overview of preCalc in just 2 weeks! That's amazing, don't you think?
In addition to what we reviewed last week, we talked about Inverse Functions and solving equations, specifically Exponential and Logarithmic. Also, we learned how to graph Implicit Relations such as Conic Sections and Twisted Conics. Now, I think you have the basic algebraic, trigonometric and Graphing Calculator skills needed to succeed in Calculus!
Before we start Calculus, next week is all about review before TEST1B.
See our Screencasts on Blackboard!
Here's some worksheets we used to study conics:Implicit Relations
Conics Practice
Conics Solutions
Last, but not least, here's this week's Filks! Well, we didn't have any Filks this week. Instead, we watched documentaries on YouTube about Admiral Grace Murray Hopper and Lady Ada Byron Countess of Lovelace. Like I always say, "Gracie is why we have nice things" like that cell phone in your pocket or the laptop you are using to run Zoom during class!
Also, the story of Ada Lovelace, born nearly 100 years before the computer age, is very interesting. She actually wrote the first computer program for Charles Babbage's Analytical Engine, a computer made up of gears and pulleys much like Alan Turing's Christopher instrumental in breaking the Nazi Enigma Spy Code during World War II.
Enjoy these documentaires:
That's it for now. Enjoy your weekend!
Be well,
A. Jorge Garcia
Applied Math & CS
Nassau Community College
http://shadowfaxrant.blogspot.com
https://www.patreon.com/calcpage2020
MAT122 Week One Update: Functions!
Dear Students,
Wow, we made it! Week One is Done and Done!
This week we covered some preCalculus Review topics regarding Functions: Linear, Quadratic, Rational, Inverses, Domain, Range, Relative Min, Relative Max, Increasing, Decreasing, Asymptotes and Limits!
See our Screencasts on Blackboard & Patreon!
Last, but not least, here's this week's Filks! We start each class with a fun Filk or short Documentary related to a specific topic we're learning in class or something related to STEAM.
Don't forget about your Zoom Etiquette. Please have your video on at all times during class recording from a neutral room dressed appropriately, in other words:
No pajamas & No bedrooms!
I need your Welcome Back BIOs ASAP. Please read and follow our Syllabus very carefully! You can download these items from our BlackBoard site.
Note: 100% Attendance is required, you all start with 100 pts as a test grade for attendance. Each absence counts 4 pts and each lateness (arriving late, leaving early) counts 2 pts against this grade. It's an easy 100, don't lose it! You can check your attendance record and grade book on our BlackBoard site.
That's it for now. Enjoy your weekend!
Be well,
A. Jorge Garcia
Applied Math & CS
Nassau Community College
http://shadowfaxrant.blogspot.com
https://www.patreon.com/calcpage2020
MAT122 Week Zero Update: Setting Up!
Dear Students,
I can't wait to meet you all on Wednesday September 1st to start our Calculus I class during this upcoming Fall Semester! Don't forget we meet Wednesdays-Fridays from 9/1/2021 to 12/22/2021 for 1 hour and 15 minutes. On Wednesdays and Fridays we meet at 11am. On Thursdays we meet at 10am.
My Blackboard site is almost ready but Nassau Community College (NCC) is not allowing access until Wednesday 9/1/2021. So, I thought I'd give you a few pointers ahead of time:
1) SYLLABUS
Please download the SYLLABUS from BlackBoard, read it carefully and pay very close attention to:
Page 1:
Math Learning Center Zoom link
Page 5:
Required Textbook
Page 5:
Student Responsibilities
Page 6:
Academic Dishonesty Policy
Page 7:
Copyright Statement, Assessments and Americans with Disabilities Statement
Page 8:
Return to Campus Expectations & Guidelines
Pages 9-13:
ClassWork, HomeWork Assignments and Exams
2) WELCOMEBIO
Please download the WELCOMEBIO from BlackBoard, fill it out and return to me via college email ASAP. My email address is listed in the SYLLABUS.
3) HARDWARE
We will be using the TI83/84 series of Graphing Calculators. If you are already familiar with another calculator series such as TI85/86 or TI89/92, please feel free to use what works best for you. Also, please make sure you have a second device during class and tests, such as a tablet or ChromeBook, for viewing our lectures via Zoom.
I typically have 3 Chromebooks running during class: one for zoom lectures, a second one to monitor the zoom session and another one to read my notes and lesson plans. You may be able to get by with multiple tabs on one device. Please feel free to make your own choice. Pick whatever works best for you!
4) Kaltura
You will find several screencasts of our lessons in each of the 5 units on our BlackBoard. These screencasts are hosted on the college's Kaltura cloud service which is much like a private YouTube server just for NCC students and professors. See a sample recording above. I recorded these videos LIVE in 2010 with a TI83 and I rerecorded these videos as SHORT summaries after class in 2018 with a TI84C. You are responsible for all the material covered in all the screencasts posted on our Blackboard site.
5) SOFTWARE
In addition to Zoom, Blackboard, and Kaltura, I will be using the CAMScanner and Squid apps and recommend you use them too. I'm using AndroidOS, but these apps, or something similar, should be available for iOS as well.
Squid is great for taking notes on a tablet or writing your solutions on a pdf such as a test using a tablet and a stylus. The free version of Squid is great, but you need to pay a monthly fee or a one time lifetime fee for pdf markup. I also paid a fee for the geometry tab which makes drawing diagrams with your stylus easier! The monthly fee is not much if you only want to use Squid for a few months. I paid the lifetime fee instead for a couple of extra features as I use this app all the time but I don't need the entire feature set.
CAMScanner is great for converting handwritten work to pdf format so you can email your Exams to me.
Typically during my Zoom lecture I will be sharing notes with you using Squid and a TI84C Emulator.
6) EXAMS
When you take an exam, you have a choice. You can download and print the test so you can complete it with pencil and paper in a more traditional manner. Then you can use CAMScanner to convert your handwritten work to a pdf and email your test back to me.
Alternatively, you can download the test onto your tablet, markup the pdf with your solutions using Squid and just email the new pdf with your work. Again, please feel free to make your own choice. Pick whatever works best for you!
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!
Sincerely,
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
www.youtube.com/calcpage2009
calcpage.redbubble.com
society6.com/calcpage
2015 NYS Secondary Math PAEMST Nominee
Teaching with Technology,
pastebin youtube slideshare
(IDEs & Code)
MATH 4H, AP CALC, CSH: SAGECELL (Curriculae)
RECOMMENDED AP COMPSCI REVIEW:
RECOMMENDED AP CALCULUS REVIEW:
CRIB SHEET (not given during exam) REVIEW BARRONS BOOK (see me) 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,
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! ====================
