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The cartesian and polar form is examined. A number of tricks with the polar object are included. Eight examples with solutions are given providing extensive coverage of this complex question.
Circle
A series of tricks are examined which simplifies the co-ordinate geometry of the circle. This circle question is broken into six types covering all aspects of this topic.
Integration
All types of problems on integration are examined. The different types examined are integrals with pure algebraic functions, integrals with any hint of the exponential function, the inverse linear function, integrals with pure trig functions and special functions that require unusual substitutions. 28 examples provide comprehensive coverage of this topic.
Algebra I: Quadratic Equation
For the leaving cert. you must know 6 things about the quadratic equation: (a) How to solve it (b) Sum and Product of the roots (c) Forming the equation from the roots (d) The roots satisfy their own equation (e) The Discriminant (f) Graphs of quadratics. Five examples are included in this section.
Applications of Differentiation
Using differentiation the maxima and minima of 4 different functions are obtained. The functions treated are algebraic (Al), exponential (expo), logarithmic (log) and trigonometric (trig).
Algebra II: Equations
This article gives precise steps for solving Modulus Equations, Exponential Equations, Log Equations and Surd Equations. 14 examples are included.
Sequences and Series
A sequence is an ordered set of terms obtained using a well defined rule. 34 examples are included in this extensive article.
Maclaurin Series
The Maclaurin Series is a polynomial approximation of non-polynomial functions. The exponential, trig, log and inverse macs are explained with examples.
