Other Mathematics

Includes Infinite Series, Logarithms and Functions

Includes infinite series and logarithm rules.

Includes inverses, quadratics, logarithms and inequalities.

Complex Numbers with Polynomial Functions.

Includes Factor and Remainder Theorem, Complex Numbers and Long Division.

Includes Complex Numbers, Prime Factorization and distance on the Argand Plane.

Questions of proof, permutations and combinations as well as complex numbers.

Includes Factor Theorem, Binomial Theorem and a bit of proof (disproving).

The Rational Exponent form of the Binomial Theorem is required.

All questions dealing with trigonometry up to this unit.  Could include inequalities, proofs, etc.

Includes solving quadratics, trigonometry equations and compound angles.

Includes cosine law, compound angles and area of a triangle.

Main focus is recursive sequences and proof by induction but compound angles are required at the end, hence why it is here.

All questions dealing with vectors, lines and planes.

Involves division of line segments, vector equations of lines and linear combinations.

Involves linear combinations, coplanar, and area of a parallelogram.

Involves binomial theorem, complex numbers and De'Moivres Theorem.

Questions involving limits and derivatives of all types.

These questions will deal with derivatives but applying them for max/min, concavity, etc...

Uses logarithms, finding max/mins, working with summation and inequalities.

Uses volume, surface area, vectors and derivatives for increasing.  Finishes off with trigonometry.

All questions dealing with integration.

The Gamma Function is used in further statistics (Chi-Squared, for example).  This uses L'Hopitals, Combinations and a lot of indefinite integration!

The Beta Function is used in in further statistics, complicated integrations and is connected to the gamma function (see above).  Involves a whole lot of integration and factorials.

Involves a bit of vectors, trigonometry, tangents and area under a curve.

While the integration is given in the question, converting the arctangent information is a high priority in the work.

Involves identities and trig integration.

Involves taking the derivatives of arcsin x.  Involves induction, implicit differentiation and Maclaurin Series.

Questions that deal primarily with probability using permutations and combinations.

Flipping of a coin, uses binomial distribution mainly.

Given the Poisson Distribution (used to be in the old syllabus) Function.  Includes a bit of Maclaurin Series, Expected Value and Variance.

Given the Poisson Distribution (used to be in the old syllabus) Function.  Includes a bit of Maclaurin Series, Expected Value and Variance.