Scientific Computing
Science, Technology, Engineering, Arts & Math
Teaching & Learning Math & Science with Technology:
Graphing Calculators, Numerical Methods, Computer Algebra Systems & Linux Clusters
Why Shadowfax? Our cluster is so fast that we named it after the Lord Of The Rings character!
Website once known as http://CalcPage.tripod.com (1988 – 2008)
(My AP Classroom from 1988-2019) (Running Linux from 1994-2018)
Fall 2022 MAT225 Lecture 201:
Lecture 201, last week on Wednesday 9/28/2022, was all about Partial Differentiation! We discovered how to calculate fx, fxx, fxy, fy, fyy and fyx given any multivariate function f(x,y). We also found that the mixed partials fxy=fyx. Last, but not least, we played around with the Second Partials Test for Optimization!
This week we only had the one lecture as we were off on Monday for Rosh Hashanah. Next week we will continue our work on Partial Derivatives in Chapter 15 on Monday and we're off on Wednesday for Yom Kippur!
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,
(My AP Classroom from 1988-2019) (Running Linux from 1994-2018)
Fall 2022 MAT225 Lectures 102 & 103:
Yippee! We actually finished all the new material for this unit.
Lecture 101, last week on Wednesday 9/6/2022, was all about Vectors: cartesian coordinates, polar coordinates, magnitude, direction, adding 2 Vectors, subtracting 2 vectors, multiplying a Vector by a Scalar, Dot Products and Cross Products.
Lecture 102, Monday 9/12/2022 this week, was all about Matrices. Just as we did with Vectors, we introduced Matrix Arithmetic: adding 2 Matrices, subtracting 2 Matrices, multiplying a Matrix by a Scalar as well as multiplying a Matrix by another Matrix. Then we talked a bit about Determinants, Matrix Inverses and Matrix Algebra solving Systems of 3 Equations with 3 Unknowns.
Lecture 103, Wednesday 9/14/2022 this week, saw some more practice with Vectors and Matrices as well as an introduction to 3D graphing using sympy's plot3d and plot3d_parametric_line. Don't be fooled, plot3d_parametric_line will plot lines in 3D:
<1+2t, 2-3t,5+t>.
However, plot3d_parametric_line will plot any parametrically defined trajectory, or any vector valued function R=>R^3, that has 1-Degree of Freedom such as a helix:
<4cos(t), 4sin(t), 3t>.
We found the Equation of a Line using Vector Addition given a starting point and a parallel vector. We also found the Equation of a Plane given 3 Points using Cross Products and Dot Products:
ax+by+cz=d
I would have liked to have touched on Quadric Surfaces, Contour Plots, Traces or Level Curves, but we ran out of time. We won't need these topics on our first test anyway. We'll get to that in the next unit. Each unit is about 3 weeks long, 2 days per week and 2 hours per day:
UNIT01: Vectors & Matrices
UNIT02: Partial Derivatives
UNIT03: Iterated Integrals
UNIT04: The Great Theorems
UNIT05: Review & Final
Don't forget our Elementary Calculus Reviews and related FILKs (see below):
REVIEWA: Limits
REVIEWB: Difference Quotient
REVIEWC: Product Rule
As you know, I like to start each Lecture with a brief review. These reviews do not represent an exhaustive review of Calculus I & II by any means. At least we remind ourselves of some important skills and we have a good warm up each day! Still feels weird calling the equivalent of AP Calculus AB & BC elementary as I taught AP for several decades and my students would not think it so elementary!
Next week, before our next unit covering Partial Differentiation, we will review preTEST1A on Monday 9/19/2022 in Break Out Rooms and take a proctored TEST1B on Wednesday 9/21/2022 covering Lectures 101-103 as detailed above. So I won't have anything to blog about until the following week: Friday 9/30/2022!
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,
(My AP Classroom from 1988-2019) (Running Linux from 1994-2018)
Fall 2022 MAT225 Lecture 101:
OK, this week was a bit short due to Labor Day on Monday so we only got to meet on Wednesday 9/7/2022. However, I think we got off on the right foot!
First things first, we went over some important points in the syllabus as outlined in my last blog post and how to navigate our Blackboard site.
Next, we had a brief Elementary Calculus Review on Limits at a Point and Limits at Infinity involving Rational Functions and L'Hopital's Rule. We even introduced Jupyter Notebooks doing algebra and graphing with sympy! Sympy will be our CAS (Computer Algebra System) this semester. We will also be using Colab this semester emulating Jupyter in the cloud: GCP (Google Compute Platform).
Last, but not least, we started going over Chapter 13 topics related to 2D and 3D Vectors: Summation, Difference, Scalar Multiplication, Dot Products and Cross Products.
Next week we will devote Monday 9/12/2022 and Wednesday 9/14/2022 to completing topics from Chapters 13 & 14 about Vectors, Matrices and 3D Graphs!
Last, but not least, remember this unit's mascot, Tux the Penguin of Linux 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!
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,
