Compare these two methods of complex factorisation. Notice the slightly different result. Why is this? I constructed the solutions using a TI nSpire “notes” page
Quadratic Formula finds the values of z which make the original expression zero. It does not find the factor 3. A visual check is also required.
Completing the Square does find the factor 3.
Pondering the MVT and 2013 Maths Methods Exam 2 question 6
Found in Mildura library: The Calculus Diaries by Jennifer Ouellette, 2010. Chapter one recounts how Archimedes thwarted the initial invasion of Syracuse by the Romans in 213 BC by building a giant, curved array of mirrors which he used to focus the Sun’s rays on to Roman ships at anchor, causing them to catch fire. Myth Busters, however, have debunked the idea: http://www.discovery.com/tv-shows/mythbusters/videos/death-ray-minimyth.htm .
Enjoying reading Einstein’s Heroes by Monash University professor Robyn Arianrhod. In this very easy to read treatise on famous scientific mathematicians, Arianhrod pays tribute to Galileo, Newton, Faraday and especially James Clerk Maxwell who drew together and formalised the four field equations that completely describe electromagnetism. Indeed, Arianhrod points out that Maxwell’s equations enabled him to predict the existence of radio waves and conjecture that light was part of an extensive spectrum of electromagnetic radiation.
Apparently Arianhrod has written a second book entitled Seduced by Logic about two women of mathematics. I wonder if any of my readers can recommend it?
Excited to be starting my aussie maths tutoring page. Available in person for students in Mildura or via Skype.
aussiemathstutor 