Advanced level mathematics

Includes Index

Part 1 Core syllabus: polynomials; arithmetic and geometric progressions; the binomial theorem; quadratics; inequalities; indices and logarithms; co-ordiante geometry; functions and graphs; the sine and cosine rules; trigonometric equations; radians; vectors; differentiation; further differentiation; integration; methods of integration. Part 2 Extra pure topics: numerical methods; differential equations; series; complex numbers; matrices; three dimensional geometry. Part 3 Mechanics: displacement, velocity, acceleration; force and acceleration; resolving forces; friction; moments; centre of gravity; miscellaneous statics; work, energy, power; relative velocity; projectiles; momentum and impulse; variable force; motion in a circle; elasticity; oscillations. Part 4 Statistics: statistical diagrams; statistical averages; probability; permutations and combinations; discrete random variables; special discrete distributions; continuous random variables; the normal distribution; sampling; hypothesis testing; X-squared and t distributions; correlation and regression.

The aim of this book is to provide all the support needed for a course in advanced level mathematics. Pure mathematics, mechanics and statistics that are included in the syllabus for single subject mathematics at advanced level are covered, with reminders of the principles and formulae involved.