The explanation you are looking for is here.
The explanation you are looking for is here.
This is a good place to grasp exponentiation and marvel at Euler’s formula.
What happens when you try to take the square root of -1?
Here are some useful examples.
Patrick Andrews has a PhD in Mechanical Engineering from Heriot-Watt University and an MSc in Neuroscience from the University of Cambridge.
A former Chartered Engineer and Chartered Mathematician, Patrick has worked in management consultancies and high-tech startups, and in academia as a postdoc in Applied Mathematics at Cambridge and a maths lecturer at De Montfort University.
Patrick is the father of three delightful (but not uniformly mathematical!) daughters.
Many thanks for all your support. [My daughter] has benefitted enormously.
S5 mum
Thanks for all your help. [My daughter] thinks it’s great.
S5 mum
Thank you very much for getting me through Maths -I got my A at the end of the day.
S4 pupil
[Our son] did very well and he is delighted!
S5 mum
Well done – we are all delighted!!
S5 dad
Your methods achieved a step change in [my son’s] academic prowess.
S4 dad
Thank you for all your help with [our daughter]’s maths. An A - she is so chuffed and so am I !!!!
S4 dad
Following all your hard work with my younger son, he was chuffed with his B award in Maths at National 5.
S4 dad
My son was failing his Standard Grade maths. Three months with you and he’s first in his class.
S4 mum
I am very happy to sing your praises! Thanks again.
P4 mum
Higher Maths tutoring was quite simply well structured and professional throughout. Would highly recommend.
S5 dad
Having struggled hugely with Maths …[our daughter] managed to attain a “B” grade in Int 2 Maths. We (and she!) are delighted! Many thanks for your input that I think was instrumental in her getting on so well.
S5 dad
My son is finding the tuition very rewarding… Thanks to you, maths is now on the up.
S4 dad
I got a B for Maths and I'm very pleased!
Thank you very much for boosting my confidence in Maths.
S5 pupil
Thank you for all of your help and support that made passing maths possible for my daughter!
S4 mum
Thank you soooo much! (My daughter) seems so much happier and motivated after your mathematics tuition. I thought you were very good with her, the way you spoke and the words you chose really had a positive effect.
S4 mum
(My son) got As in Maths and Computing Science and B for Physics. Thank you for all your help.
S4 mum
Just to let you know I got a b in my maths results. Thank you very much for all your help!
S5 pupil
I just want to thank you for helping me with my (Higher) maths this year as I am delighted to say i got an A in maths.
S5 pupil
My eldest son was tutored by Patrick. He has Dyspraxia and at 15 was only 2 years on from Learning Support. Patrick inspired (him) so much he suddenly took off winning top in year prizes at (High School) and at University.
S5 dad