- The Zoom address is https://us04web.zoom.us/j/4850284384?pwd=1i9MBgKH1r8
- An online Python compiler that can import the matplotlib module is at codabrainy.com.
- Test-taking music
- Johann Bach's Musical Offering in piano and harpsichord (with scrolling musical notation). A long essay on the Musical Offering with linkage to Leibniz, Newton, and Voltaire; and a short essay that talks about it in connection to Mozart and Beethoven.
- Beethoven's Ghost Trio (1809)
- Brahms's Symphony 1, Karajan conducting.
Chapter 1: Whole Numbers
1.4 Multiplication and Division.
1.4 Long Division.
Lesson 6, Friday. Order of operations, exponents.
- Test 1, (arithmetic, writing numbers in words).
Lesson 7, Wednesday. Exponents, neatness.
Lesson 8, Friday. Graphics.
Lesson 9, Monday. Word problems.
- Homework 9 (word problems). Remember also to ask your parents what is necessary for salvation, and, in particular, why just deciding to believe is not enough. The key verse is "Thou believest that there is one God; thou doest well: the devils also believe, and tremble." James 2:19.
- Here is a good blog post on prayer flags and prayer wheels, with gorgeous photographs if the Himalaya Mountains. Someone came up with the idea of the "prayer wagon": drawings here and here. Relatedly, the parable of Lazarus and the Rich Man (Luke) came up in class.
- WORDS: Amiable, endless loop.
- "When I was a boy of fourteen, my father was so ignorant I could hardly stand to have the old man around. But when I got to be twenty-one, I was astonished at how much he had learned in seven years." Mark Twain, "Old Times on the Mississippi," Atlantic Monthly, 1874.
- Homework 7 (exponents, neatness)
- Python Code
print("Buddhist code.") x = 4 item=1 while x<6: print("Glory to God in the highest!",item) item = item +1 print ("The End.")
- Steps in solving word problems: 1. Figure out what the question is and what kind of number is supposed to be the answer. 2. Figure out which numbers in the question are relevant--- some numbers might well be irrelevant to getting to the answer. 3. Figure out what techniques you are going to need, e.g., addition, division, Python coding, looking up something on the Internet.
Chapter Two: Fractions
Lesson 2.2, Monday, September 21. Mixed Numbers.
Lesson 2.3, Wednesday, September 23. Factors and Prime Numbers
Lesson 2.4, Friday, September 25. Putting a Fraction into Lowest Terms
Lesson 2.4b, Monday, September 27. Plotting Functions, Divisibilty by 2, 3, 5, 7, 10.
- HW 2.4b supplement: Plotting Functions with Python and zoom office hour sessions one and two on problems with the homework.
- I've written up some Python code for testing divisibility by 2,3,5, and 7. Its purpose is to illustrate how one has to write up instructions for a computer carefully and clearly.
Lesson 2.5, Wednesday, September 29. Multiplying Fractions
October 1-15, 2021
Lesson 2.7, Friday, October 1. Dividing Fractions
Lesson 2.8a, Monday, October 4. More Multiplication
- The "All Odd Numbers Are Prime" joke and joke script. The video of [ http://www.rasmusen.org/special/Cedars_School/oddnumbers_1_explanation.mp4"> part 1] (explanation of primes) and part 2 (explanation of people) and part 3 (the joke itself) and part 4 (Polya Conjecture)of the odd number joke. The Python code by Professor Connell to test the Polya Conjecture.
Lesson 2.8b, Wednesday, October 6. Emails, Prime Numbers
- Prime_Proof_handout.pdf Handout on Euclid's proof, ] and "Euclid's Proof of the Infinitude of Primes" and five-minute video of Mr. Rasmusen going through the proof.
- Handout on writing emails
- Gordon Klein video from Fox's Tucker Carlson Show.
Friday, October 8. No class. Trip to Indianapolis.
Monday, Wed., Friday, Fall Break.
October 18-31, 2021
Monday, October 18. 3.1: Adding fractions with the same denominator
- The Python code by Professor Connell to test the Polya Conjecture.
Wednesday, October 20. Review.
- "How to Solve It: Ways to Compute 5x15"
- "Homework: Things to Study"
- "The man who taught infinity: how GH Hardy tamed Srinivasa Ramanujan’s genius," (2016) and "1729 (number)", Wikipedia.
- "Quis custodiet ipsos custodes", Who will guard the guards themselves?
Friday, October 22. Test 2. LaTeX and Anaconda Python.
Monday, October 25. Least Common Multiples.
Wed., October 27. Adding Fractions.
Friday, October 29. Adding Mixed Numbers.