Dr. McDonald's Mathematics Course Blog
After trying question Exercise 8G question 14, have a look at the quotation from Wittgenstein’s Tractatus Logico-Philosophicus.
With regard to the existence of \(n\) atomic facts there are \(K_n=\sum_{r=0}^n \left(\begin{array}{c}n\\r\end{array}\right)\) possibilities.
Show that Wittgenstein could equally have written “…there are \(K_n=2^n\) possibilities.”
Make sure you complete the questions here before our next lesson.
Once you’ve completed those questions, work on the following questions.
Exercise 1F question 15
Review Set 1A questions 1, 2b, 4, 6, 7, 9, 11–13
Make sure you complete at least up to question 6 in Review Set 1A before our next class.
Complete the following questions before tomorrow’s class.
Exercise 8G questions 1, 2, 3, 4, 6ab, 10, 15
Complete the following questions for our next class.
Exercise 15B.2 questions 1ad, 2abcdfi, 3acef, 4, 5
Have a look at the questions in the section below prior to tomorrow’s class, and we’ll be working on these during part of tomorrow’s class.
Exercise 15A questions 1aejno, 2ab, 3bf, 4abc, 5, 7.
Here is a (fairly long!) list of questions to work on before our next class.
You don’t need to complete all of these (we’ll continue with this material next class), but make sure you try at least one question from each section.
8A 2, 3, 6
8B 2
8C.1 3, 5ag
8C.2 2
8D 3, 5, 10
8E 3, 4, 9, 10
We’ve now completed the material from Chapter 1. Complete the following questions for our next class.
As always, remember that you can post a comment below if you get stuck!
Exercise 1E questions 1ad, 2, 3ac, 4, and 6.
Exercise 1F questions 1, 2, 7, 9, 10, 11, 12.
Exercise 1G questions 3, 4, 7, 8.
On Friday, September 22nd, we’ll have a test on polynomials (and complex numbers). As with all tests, some questions will require familiarity with past course material, and you may want to review your notes on transformations.
In order to prepare for the test, the exercises listed below would be a good start. Note that you may find additional questions in the materials available on the HL Resources page.
Review Set 6A questions 3–5, 9, 11–13, 16, and 17.
After spending some time on completing the square, we were just able to get started on producing the equation of a function when given its graph.
You should complete pages 39–40 (Exercise 1D) questions 1, 2, 3abf, and 4aef for tomorrow’s lesson.
If you’d like to get a head start on the next bit of material, you can read ahead and try page 42 (Exercise 1E) question 1ad.
Complete the following questions for our next lesson.
Exercise 6F.3, question 1ace, 2ace, 3acg, and 7.