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

VCE Specialist Mathematics Common Math Hacks Practice Exams Common Exam Mistakes Preface 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 Mathematics Coordinate Geometry Ellipses, Hyperbolas 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:: Circles 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: (x-h)^2 + (y-k)^2 = r^2 Notice how the centre for this circle is (h,k) because a translation h right and k up has been made. Because y is on the same side as x, the translations are opposite in sign as a result. All loci are a fixed distance from the centre point: (h,k) Complex Numbers Relations and Regions in the Complex Plane Differential Calculus Integral Calculus Differential Equations Kinematics Vectors Vector Calculus Mechanics