Reduction Formulae

As we move into the integration topic, one application of integration by parts is to reduction (or recurrence) formulae.  The two presentations are from past HSC papers.

It should also be noted that while most reduction formulae are completed using integration by parts, there are some that are achieved through use of the Pythagorean Identities...I'll post some more on this later!

2001 Trial HSC - International Grammar

Below is question 4 from the 2001 International Grammar Trial HSC. It has some good questions on polynomials.

A nice question from the latter stages of the Extension 2 paper.It shows how seamlessly complex numbers and polynomials go together!

Polynomials Outline

Betty & John's Journey Into Complex Numbers

Another little gem, written in a similar vein to children's books you may have used when you were learning to read.

Betty & John's Journey Into Complex Numbers

Complex Numbers Video

I came across this on You Tube over the break.  Whilst he does provide a brief discussion to complex numbers, I thought it was quite clever the way he interacted with himself! A nice little way to ease yourselves back into 2014!

 (This self-interaction has echoes of some fantastic science fiction time travel stories!)

Complex Numbers Revision Papers

Hi all.  Hopefully, everyone is having a little time off to recover and recuperate!  I'm in the process of creating some small papers for you to try; there are 10 in total.
Embedded here is a Google form for you to use to keep track of your revision.