\(\LaTeX\) and Selected Topics in Mathematics

If you’re unfamiliar with  \(\LaTeX\), it’s the system I use to create the slides and tests in our courses. It’s also used to enter mathematical expressions on this site (and many others).

By request I’ll be running some tutorials in \(\LaTeX\) on Mondays after school (usually these will be held in my classroom, but for the first week it’ll be in 122). It would be useful to know if you’re writing a math-heavy extended essay (in mathematics or one of the sciences, for example), and would also be useful for your mathematical exploration.

After we’ve finished looking at  \(\LaTeX\), we can look at some additional topics in mathematics, with topics selected based on interest (these could include things that typically fall outside the scope of the IB Mathematics courses, like linear algebra, logic, set theory, abstract algebra, or analysis).

If you’re interested in getting started with  \(\LaTeX\), I recommend that you install a full version of  \(\LaTeX\) on your computer—I’ve added instructions for installation here.

11 HL Planes

Here are a couple of short questions to look at before our next lesson.

  1. Verify that the points \(A(1,2,3)\), \(B(-2,0,0)\), and \(C(3,-2,-1)\) are not collinear.
  2. Find the vector equation of the plane that contains all three points from question 1.
  3. Find the Cartesian equation of the plane you determined in question 2.
  4. Verify your answers using GeoGebra.

11 SL Sequences (Part 2)

Complete the following questions before our next class.

Exercise 6D.1 1c, 2b, 3c, 4, 6, 7
Exercise 6D.2 1, 2
Exercise 6D.3 1, 3, 6, 7
Exercise 6E 1ae, 2ad, 4a

What is NACLO?

NACLO is the North American Computational Linguistics Olympiad, and this organization runs an annual contest that offers an opportunity for you to challenge your logical and critical thinking skills, and no particular knowledge of linguistics (or a second language) is required. A sample of the sorts of questions you might see can be found here. Try them, they’re fun!

This year the Canadian Linguistics Organization (OLCLO) will become an independent organization, and will be running the contest on January 25th.

If you’re interested in participating, or learning more about the contest, talk to Irene, Henry, or Yuheng (members of the Linguistics Club) for more information.

11 SL Transformations Review

Complete the following review questions before returning from the break (and enjoy the break!).

Exercise Set 5A 1, 3, 4, 7
Exercise Set 5B 4, 5
Exercise Set 5C 3, 4, 5

12 SL Indefinite Integrals

Complete the following questions before our next class.

Exercise 18D questions 2, 3, 11, 12
Exercise 18E.1 questions 1cdg, 2cd, 3de, 5ab
Exercise 18E.2 questions 1bc, 2b, 3ac