About the Cards
Year Published: 2016
Page Count: 170
ISBN: 978-3-946138-03-7 (9783946138037)
Discontinued Editions
Stock available from Australian warehouse only.
Year Published: 2016
Page Count: 170
ISBN: 978-3-946138-03-7 (9783946138037)
TOPIC 1 | SEQUENCES AND SERIES | 1 | |
Exponentials and logarithms | 7 | ||
Counting and the binomial theorem | 12 | ||
Mathematical induction | 18 | ||
Complex numbers | 23 | ||
Systems of linear equations | 30 | ||
TOPIC 2 | RELATIONS AND FUNCTIONS | 34 | |
Exponential and logarithmic functions | 38 | ||
Graphs of functions | 41 | ||
Quadratics | 47 | ||
Real polynomials | 54 | ||
Inequalities in one variable | 62 | ||
TOPIC 3 | RADIANS AND THE UNIT CIRCLE | 66 | |
Non-right angled triangle trigonometry | 68 | ||
Trigonometric functions | 72 | ||
Reciprocal and inverse trigonometric functions | 77 | ||
Trigonometric identities and equations | 80 | ||
TOPIC 4 | VECTORS AND VECTOR OPERATIONS | 86 | |
Vector products | 90 | ||
Lines | 95 | ||
Planes | 100 | ||
TOPIC 5 | STATISTICS | 108 | |
Probability | 114 | ||
Discrete random variables | 121 | ||
Continuous random variables | 126 | ||
TOPIC 6 | DIFFERENTIATION | 131 | |
Rules for differentiation | 133 | ||
Properties of curves | 137 | ||
Integration | 143 | ||
Further integration | 145 | ||
Calculus applications | 150 |
Michael completed a Bachelor of Science at the University of Adelaide, majoring in Infection and Immunity, and Applied Mathematics. He studied laminar heat flow as part of his Honours in Applied Mathematics, and finished a PhD in high speed fluid flows in 2001. He has been the principal editor for Haese Mathematics since 2008.
What motivates you to write mathematics books?
My passion is for education as a whole, rather than just mathematics. In Australia I think it is too easy to take education for granted, because it is seen as a right but with too little appreciation for the responsibility that goes with it. But the more I travel to places where access to education is limited, the more I see children who treat it as a privilege, and the greater the difference it makes in their lives. But as far as mathematics goes, I grew up with mathematics textbooks in pieces on the kitchen table, and so I guess it continues a tradition.
What do you aim to achieve in writing?
I think a few things:
What interests you outside mathematics?
Lots of things! Horses, show jumping and course design, alpacas, badminton, running, art, history, faith, reading, hiking, photography ....
Ngoc Vo completed a Bachelor of Mathematical Sciences at the University of Adelaide, majoring in Statistics and Applied Mathematics. Her Mathematical interests include regression analysis, Bayesian statistics, and statistical computing. Ngoc has been working at Haese Mathematics as a proof reader and writer since 2016.
What drew you to the field of mathematics?
Originally, I planned to study engineering at university, but after a few weeks I quickly realised that it wasn't for me. So I switched to a mathematics degree at the first available opportunity. I didn't really have a plan to major in statistics, but as I continued my studies I found myself growing more fond of the discipline. The mathematical rigor in proving distributional results and how they link to real-world data -- it all just seemed to click.
What are some interesting things that you get to do at work?
As the resident statistician here at Haese Mathematics, I get the pleasure of writing new statistics chapters and related material. Statistics has always been a challenging subject to both teach and learn, however it doesn't always have to be that way. To bridge that gap, I like to try and include as many historical notes, activities, and investigations as I can to make it as engaging as possible. The reasons why we do things, and the people behind them are often important things we forget to talk about. Statistics, and of course mathematics, doesn't just exist within the pages of your textbook or even the syllabus. There's so much breadth and depth to these disciplines, most of the time we just barely scratch the surface.
What interests you outside mathematics?
In my free time I like studying good typography and brushing up on my TeX skills to become the next TeXpert. On the less technical side of things, I also enjoy scrapbooking, painting, and making the occasional card.
Fully worked solutions are included for every question.
Fully worked solutions are included for every question.
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