Study Articles
Explore Loav's study advice, subject guides and exam-preparation articles. Browse a subject collection or use the page numbers below to explore the full library.
Browse by subject
All study articles
Newest first. This list updates as new articles are published.
-
Discrete random variables and expectation: VCE Mathematical Methods Units 3 & 4
Loav · VCE Mathematical Methods · Units 3 and 4 Start here · Worked examples · Practice and reasoned answers · Learning check Start here A random variable…
-
Conditional probability and independence: VCE Mathematical Methods Units 3 & 4
Loav · VCE Mathematical Methods · Units 3 and 4 Start here · Worked examples · Practice and reasoned answers · Learning check Start here Probability becomes much…
-
Trapezium rule and numerical integration algorithms: VCE Mathematical Methods Units 3 & 4
Loav · VCE Mathematical Methods · Units 3 & 4 M34-INT-04 · Integration · Current study design Prerequisites: definite integrals, function values and elementary loops. By the end:…
-
Accumulation, rates and average values: VCE Mathematical Methods Units 3 & 4
Loav · VCE Mathematical Methods · Units 3 & 4 M34-INT-03 · Integration · Current study design Prerequisites: definite integrals, derivative signs and piecewise intervals. By the end:…
-
Definite integrals, the fundamental theorem and area: VCE Mathematical Methods Units 3 & 4
Loav · VCE Mathematical Methods · Units 3 & 4 M34-INT-02 · Integration · Current study design Prerequisites: antiderivatives, equation solving and graph signs. By the end: evaluate…
-
Antiderivatives and integration by recognition: VCE Mathematical Methods Units 3 & 4
Loav · VCE Mathematical Methods · Units 3 & 4 M34-INT-01 · Integration · Current study design Prerequisites: power, product and chain rules; exponentials; logarithms; radian trigonometry. By…
-
Newton’s method and pseudocode: VCE Mathematical Methods Units 3 & 4
Loav · VCE Mathematical Methods · Units 3 & 4 D06 · Differential calculus · Current curriculum Use a tangent to improve a root estimate, trace the iteration…
-
Optimisation and rate models: VCE Mathematical Methods Units 3 & 4
Loav · VCE Mathematical Methods · Units 3 & 4 D05 · Differential calculus · Current curriculum Turn a practical question into a one-variable function, respect its feasible…
-
Stationary points, inflection and curve features: VCE Mathematical Methods Units 3 & 4
Loav · VCE Mathematical Methods · Units 3 & 4 D04 · Differential calculus · Current curriculum Use derivative signs to distinguish a turn from a horizontal pause,…
-
Tangents, normals and gradient graphs: VCE Mathematical Methods Units 3 & 4
Loav · VCE Mathematical Methods · Units 3 & 4 D03 · Differential calculus · Current curriculum Connect a local slope to a line equation, and read a…
-
Differentiation rules and domain checks: VCE Mathematical Methods Units 3 & 4
Loav · VCE Mathematical Methods · Units 3 & 4 D02 · Differential calculus · Current curriculum Choose a rule from the structure of the expression, combine rules…
-
Rates of change, continuity and first principles: VCE Mathematical Methods Units 3 & 4
Loav · VCE Mathematical Methods · Units 3 & 4 D01 · Differential calculus · Current curriculum Build the derivative from a question about change, then use limits…
