Showing posts with label LACS. Show all posts
Showing posts with label LACS. Show all posts

Thursday, June 26, 2014

LAC2014: Physics and Calculus with the TI-89

LAC2014:
Physics and Calculus with the TI-89

This year's Life After Calculus 2014 (LAC2014) focused on applications of Calculus to Physics. What's nice about these applications is that they serve as a brief introduction to Calculus III, IV and V!

Since we are switching to the TI-nSpire next year, we also demonstrated the use of the TI-89, aka Hal, for the last time whenever possible. It's about time we upgraded our Graphing Calculator in AP Calculus BC class. I think we've been using the TI-89 for over 20 years. So, let this be Hal's Swan Song!

Next year, LAC2015 will be similar to this but we will showcase the TI-nSpire instead! Can you guess what LAC2016 will be like? Yes, you guessed it! We'll redo this project one more time showcasing SAGE!

What follows is a series of ScreenCasts summarizing what we did. Each ScreenCast has the handout and SmartNotes used in class as attachments to the YouTube description.

LAC2014 (TI-89) 101 Day01 2D Vectors!


LAC2014 (TI-89) 101+102 Day02 2D Vectors and Work! 


LAC2014 (TI-89) 102 Day03 3D Vectors! 

LAC2014 (TI-89) 102 Day04 3D Vectors and the ShoeLace Algorithm! 

LAC2014 (TI-89) 102 Day05 3D Vectors and the Cross Product and Torque! 

LAC2014 (TI-89) 103 Q1 Day06 Free Fall without Friction! 

LAC2014 (TI-89) 104 Q1-Q4 Day07 Free Fall with Friction! 

LAC2014 (TI-89) 107 Q1-Q7-ODD Day08 Power Series DiffEqu Solutions! 

LAC2014 (TI-89) 107 Q9+Q10 Day09 Power Series 2nd Order DiffEqu Solutions! 

LAC2014 (TI-89) 108 Q1+Q2-Q6 EVE Day10 Hooke's Law without Friction! 

LAC2014 (TI-89) 109 ALL Day11 Hooke's Law WITH Friction! 

LAC2014 (TI-89) 106 ALL Day12 Simultaneous DiffEqus! 

Well, that's all folks!

Sincerely,
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Saturday, May 25, 2013

Teaching Math 5HBC: LAC2013 Complete!





Teaching Math 5HBC: LAC2013 Complete!

Fare thee well, my Seniors, you will be missed!

A couple of weeks ago, we started our "Life After Calculus 2013" final project. We focused on loose ends that I think should be in BC Calculus: Euler's Identity, Second Order DiffEqus, Hooke's Law, Air Resistance and Power Series Solutions! I used to cover Simultaneous DiffEqus with Slope Fields modeling competing populations during LAC, but I covered that earlier in the year this year.

Last week we ScreenCasted how to learn Calculus with SAGE! We ran out of time. So, I will continue UNIT3-UNIT12 at a later date. I'm preparing these Calculus Units on SAGE for a presentation at T^3 Molloy College 11/1/13. 

My Summer Project will include finishing UNITS 3-12 for my T^3 presentation at Molloy College next year. I will also update my EBay store with electronic copy on CD only based on this project! Stay tuned...

This week we finished our Post AP Exam Math Movie Madness with "A Beautiful Mind!"

ScreenCasts and SmartNotes and Code:












LAC2013 Day 06: Trig https://sage.math.clemson.edu:34567/home/pub/442/

LAC2013 Day 07: More Trig
https://sage.math.clemson.edu:34567/home/pub/443/

LAC2013 Day 08: Calculus UNIT 1
https://sage.math.clemson.edu:34567/home/pub/444/

LAC2013 Day 09: Calculus UNIT 2
https://sage.math.clemson.edu:34567/home/pub/445/

mySlideShare SmartNotes
mySAGE code for MATH5HBC2012!

Well, that's all folks!
Teaching with Technology, 

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Teaching APCS: LACS2013 Complete!



Teaching APCS: LACS2013 Complete!

 Fare thee well, my Seniors, you will be missed!



We started our final project last week: "Life After Computer Science 2013." We're using the StdDraw.java class from Princeton CS 101 to do some graphics. I want to develop some new graphics based projects to use through out the year next year.

 My Summer Project will include finishing some more of these lessons for next year! Stay tuned...

Our Own Graphing Calculator (TI-83):
FuntionMode.java
Parametric Mode.java
PolarMode.java













Some Animation (like VPython):
Ball.java (animation, loops and/or arrays)
Ballistics.java (physics - animated parametrics)
PlanetOrbits.java (nbody problems)
Hanoi.java (Towers)



Our Own Turtle Class (Turtle Python):
Turtle.java
RandomWalk.java (Brownian Motion)
N-agon.java (Geometry)
Tree.java (Recursion)
Koch.java (Recursion)
L-Systems.java (Strings)

XTRAS:
GameOFLife.java (Conway's 2D Automata)
Mandelbrot.java (Fractals)
Julia.java (Fractals)
IFS.java (Systems)

myPasteBin code for APCS2012
myProgramr code for APCS2012

Well, that's all folks!
Teaching with Technology, 
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Friday, June 15, 2012

Teaching APCS: LACS 2012 - Life After AP Computer Science is nearly done!

Welcome to LACS: Life After Computer Science! It's time for this year's final project. We are going to investigate the world of programming pixel graphics with java using the StdDraw class from http://introcs.cs.princeton.edu/java/stdlib/

LACS01: Day 1, Polar Graphs

LACS02: Day 2, More Polar Graphs

LACS03: Day 3, Animation and Bouncing Balls

LACS04: Day 4, Turtle Graphics!






LACS05: Day 5, N-a-gons!




LACS06: Day 6, Drunk Turtle?




LACS07: Day 7, Koch Snowflake Fractal




LACS07a: Day 7a, Miscellaneous









LACS08: Day 8, Mandelbrot Fractal and Complex Numbers






LACS09: Day 9, N-Body Problem and Vectors
*SCREENCAST COMING THIS SUMMER*









LACS10: Day 10, Conway's Game of Life
*SCREENCAST COMING THIS SUMMER*
*CODE COMING THIS SUMMER*


Well, that's all folks!

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Thursday, June 14, 2012

Teaching AP Calculus: LAC 2012 - Life After Calculus is now complete!


Welcome to LAC: Life After Calculus! This year, I thought I'd do a final project with my AP Calculus BC students investigating Calculus in the context of a Computer Algebra System such as SAGE.

LAC01: Life After Calculus Day 1, Arithmetic, Algebra and Trig!
LAC01 - Life After Calculus Day 01 Intro to SAGE!
View more presentations from A Jorge Garcia

https://sage.math.clemson.edu:34567/home/pub/320/

LAC02: Life After Calculus Day 2, Trig Identities and Euler!
LAC02: Complex Powers!
View more presentations from A Jorge Garcia

https://sage.math.clemson.edu:34567/home/pub/321/

LAC03: Life After Calculus Day 3, DiffEqus and Slope Fields!

LAC04: Life After Calculus Day 4, More Trig!

LAC05: Life After Calculus Day 5, UAM DiffEqus!

https://sage.math.clemson.edu:34567/home/pub/322/

LAC06: Life After Calculus Day 6, nonUAM DiffEqus!

LAC06a: Hooke-01
View more presentations from A Jorge Garcia


LAC06b: Hooke-02
View more presentations from A Jorge Garcia

LAC07: Life After Calculus Day 7, nonUAM Complex Case!

LAC07: Hooke-03
View more presentations from A Jorge Garcia

LAC08: Life After Calculus Day 8, Characteristics!

https://sage.math.clemson.edu:34567/home/pub/323/

https://sage.math.clemson.edu:34567/home/pub/324/

LAC09: Life After Calculus Day 9, Simultaneous DiffEqus!

LAC09a: Life After Calculus Day 9a, Power Series Solutions for DiffEqus!

LAC09: Life After Calculus Day 09 Simultaneous DiffEqus
View more PowerPoint from A Jorge Garcia


LAC09a: Life After Calculus Day 09a, Solving DiffEqus without inegrating?
View more presentations from A Jorge Garcia


https://sage.math.clemson.edu:34567/home/pub/325/

LAC10: Life After Calculus Day 10, 2nd Degree nonUAM DiffEqu!


LAC10: Life After Calculus Day 10 - Air Resistance!
View more presentations from A Jorge Garcia


https://sage.math.clemson.edu:34567/home/pub/326/

Well, that's all folks!

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Saturday, June 11, 2011

Is there life after Calculus?

Screening all 9 hours of LOTR!!!

Yes, there is life after my AP Calculus BC class! This is by far my favorite time of year. This "season," for want of a better term, starts with LIMACON around the ides of March and ICON around the nones of April. Of course, we also start AP Review around this time followed by AP Exam Week during the calens of May! The AP Calculus exams are usually given early during the 2 AP Weeks, so we have a lot of time to kill after Calculus! 

View of my classroom from left rear to left front side.

As a result, Life After Calculus, aka LAC, has evolved into an art form. Right after the AP Exam, we have a Movie Marathon. Traditionally, our Movie Marathon, starts with "Stand and Deliver," but I couldn't bear to watch that movie this year as Jaime Escalante passed away not so long ago. We usually show one or two other movies to do with math, such as "A Beautiful Mind" or "The Proof." In recent years, we've been doing Science Fiction trilogies like "Star Wars" or "Planet of the Apes," etc. I justify this odd behavior by naming each and every TI Graphing Calculator we've ever used after a scifi character.

View of my classroom from right rear to right front side.

TI81 = Obi Wan Kenobi (Star Wars IV)
TI82 = Klaatu (The Day The Earth Stood Still)
TI83 = Ziggie (Quantum Leap TV series)
TI84 = Joshua (Wargames)
TI85 = Johnny5 (Short Circuit)
TI86 = Spock (Star Trek TV series)
TI89 = Hal 9000 (2001: A Space Odysee)
TI92 = Colossus (The Forbin Project)

I use names of characters from these movies and TV series. So, I claim that I'm still looking for a good name for the latest GC, the TI Inspire CAS. For example, last year we saw all 3 versions of "I Am Legend" (Vincent Price, Charleton Heston and Will Smith) and decided to name the Inspire after Dr. Neville! The year before that, I was still looking for a good name for the Inspire, so we viewed "Back to the Future" and chose the name Doc Brown, but it didn't stick. This year, we went crazy and decided to watch all 9 hours of "The Lord of the Rings!" We viewed 2 DVDs worth of LOTR during AP Week and saved the last DVD for these last few days of school. Maybe we'll rename the Inspire as "Nazgul?"

In between these 2 screenings of LOTR, we actually managed to do a lot of math! What follows is a record of some of the topics we covered. We spent some time, LAC Days 1-8, on loose ends in BC Calculus previewing some topics in Calc III and IV. Then I showed my students how to use a bit of SAGE, http://www.sagemath.org 

Life aftercalcday1
View more presentations from A Jorge Garcia
"10 Trig Identities you must know cold, from Pythagoras to Euler!" 


Life aftercalcday2
View more presentations from A Jorge Garcia
"Everything you ever wanted to know about Complex Exponents using Euler's Identity!" 


Life aftercalcday3
View more presentations from A Jorge Garcia
"Second Order DiffEqus modeling springs without damping!" 


Life aftercalcday4
View more presentations from A Jorge Garcia
"Second Order DiffEqus modeling springs with damping!"  


Life aftercalcday5
View more presentations from A Jorge Garcia
"Second Order DiffEqus modeling springs, the Complex case!"  


Life aftercalcday6
View more presentations from A Jorge Garcia
"Solving DiffEqus without Anti-Differentiating?: 


Life aftercalcday7
View more presentations from A Jorge Garcia
"Solving Simultaneous DiffEqus modeling competing populations using Slope Fields!" 


Life aftercalcday8
View more presentations from A Jorge Garcia
"The infamous free-fall plus air resistance DiffEqus!"

Here's some of the SAGE worksheets
Arithmetic 101: http://alpha.sagenb.org/home/pub/152 
Algebra 101: http://alpha.sagenb.org/home/pub/153 
Algebra 102: http://alpha.sagenb.org/home/pub/154 
Vectors 101: http://alpha.sagenb.org/home/pub/155 
Vectors 102: http://alpha.sagenb.org/home/pub/156 
Matrices 101: http://alpha.sagenb.org/home/pub/157 
Matrices 102: http://alpha.sagenb.org/home/pub/158
Matrices 103: http://alpha.sagenb.org/home/pub/159
Matrices 104: http://alpha.sagenb.org/home/pub/160
Matrices 105: http://alpha.sagenb.org/home/pub/161
Geometry 101: http://alpha.sagenb.org/home/pub/162

Here's some screen-casts of these SAGE tutorials!







What do ya think? 
Teaching with Technology, 
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