VCE Specialist Mathematics/Units 3 and 4: Specialist Mathematics/Common Math Hacks


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PrefaceEdit

This page serves to categorize and organize commonly used mathematical hacks, which allow their users to complete questions faster, and with a greater deal of accuracy.

Units 3 and 4: Specialist MathematicsEdit

Coordinate GeometryEdit

Ellipses, HyperbolasEdit

The values   and   can be fractional, as can be seen by taking the following equation:

  •   where  

Equations found in questions may not be in the general form, and may need to be transformed via the complete the square method::

CirclesEdit

Equations found in questions may not be in the general form, and may need to be transformed via the complete the square method, in conjunction with extricating all variables from under root symbols; an example follows:


=== Circular Functions ===j

Complex NumbersEdit

Relations and Regions in the Complex PlaneEdit

Differential CalculusEdit

Integral CalculusEdit

Differential EquationsEdit

KinematicsEdit

VectorsEdit

Vector CalculusEdit

MechanicsEdit