VCE · Specialist Maths · Victoria 9 live

VCE Specialist Maths, live.

9 Specialist Maths concepts you can drag right now, grouped by topic. No account, no login. Each one is the real knowscape from knowhere, not a picture of one. Mapped to the VCAA study design.

Complex Numbers
Operations and De Moivre's theoremAddition and subtraction of complex numbers in Cartesian form simply combine like terms, so a plus bi added to c plus di equals the quantity a…drag it · hsc page →
Differential Equations
Differential equations with exponential growth and decayThis type of differential equation appears frequently in natural phenomena including population dynamics, radioactive decay, compound interest,…drag it · hsc page →
Functions & Graphs
Domain and rangeThink of domain as what you're allowed to feed into the function machine without breaking it.drag it →
Integration Techniques
Integration by PartsIntegration by parts is the product rule read backwards.drag it · hsc page →
Kinematics & Dynamics
Vector Equations of Lines and PlanesA line in space is a point plus any multiple of a direction, r = a + λb; a plane is a point plus a normal, r·n = c, and that normal comes from the…drag it · hsc page →
Logic, Proof & Combinatorics
Proving InequalitiesProving A ≥ B never requires knowing A or B exactly: write A − B as something that cannot be negative and the inequality falls out.drag it · hsc page →
Mathematical Induction
Proving summation formulas using inductionChecking 1 + 2 + … + n = n(n+1)/2 for n = 1, 2, 3, 4, 5 proves it for five numbers and no more.drag it · hsc page →
Statistical Inference
Confidence Intervals for Population ParametersA confidence interval combines point estimation with margin of error to create an interval estimate, typically expressed as the sample statistic…drag it →
Vectors in 3D
Geometric proofs using vectorsTurn every point into a position vector and the classical theorems stop needing a diagram: a midpoint is an average, (b + c)/2, a right angle is a…drag it · hsc page →
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