#fmaths

[saltedtaffy]

Core Pure Maths Chapter 1

1.2 multiplying Complex Numbers

Fact: -/a x -/a = a

Therefore i^2 = -1 because

-/(-1) x -/(-1) = -1

5i^2 = 5 x -1 = -5

1.3 Complex Conjugation

cc means Complex conjugate

As previously established

z = a + bi therefore the complex conjugate is z*

If z* is the cc of z then z* = a - bi

For example if z = 3 +7i then its cc (z*) will be 3 - 7i.

More examples;

z = 5 - 2i, z* = 5 + 2i

z = -10 - 6i, z* = -10 + 6i

[studyingprogrammer]

(15.12.17) Day 40/100 of Productivity

Sorry, I haven’t had as many photos as of late, I haven’t had the opportunity to take them. Getting a lot done with the fixes to be made to my coursework and the aesthetic changes should be complete by as soon as the end of last week. Did a C2 paper today, seemed to go well. I’m anxious about my first big politics essay due on Monday but I have it planned and should have it done by Sunday morning. I’ve been less productive over the past few days after seeing Star Wars at midnight but I hope my productivity is rejuvenated by the end of the weekend.