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.
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Slope fields, Euler’s method and algorithms: VCE Specialist Mathematics Units 3 & 4
Loav · VCE Specialist Mathematics · Units 3 & 4 S34-E03 · Recommended sequence: Unit 4 Prerequisites: E01; function evaluation. Unit labels indicate a useful learning sequence within…
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Logistic and other differential-equation models: VCE Specialist Mathematics Units 3 & 4
Loav · VCE Specialist Mathematics · Units 3 & 4 S34-E02 · Recommended sequence: Unit 4 Prerequisites: E01; F02; D02. Unit labels indicate a useful learning sequence within…
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Differential equations and separation of variables: VCE Specialist Mathematics Units 3 & 4
Loav · VCE Specialist Mathematics · Units 3 & 4 S34-E01 · Recommended sequence: Unit 4 Prerequisites: D01; I01–I04. Unit labels indicate a useful learning sequence within the…
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Second derivatives, concavity and curve sketching: VCE Specialist Mathematics Units 3 & 4
Loav · VCE Specialist Mathematics · Units 3 & 4 S34-D02 · Recommended sequence: Unit 3 Prerequisites: D01; F02. Unit labels indicate a useful learning sequence within the…
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Advanced differentiation, implicit curves and related rates: VCE Specialist Mathematics Units 3 & 4
Loav · VCE Specialist Mathematics · Units 3 & 4 S34-D01 · Recommended sequence: Unit 3 Prerequisites: Methods chain/product/quotient rules; F01. Unit labels indicate a useful learning sequence…
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Rational and simple quotient functions: VCE Specialist Mathematics Units 3 & 4
Loav · VCE Specialist Mathematics · Units 3 & 4 S34-F02 · Recommended sequence: Unit 3 Prerequisites: Algebra, factorisation/division; D01–D02 for calculus features. Unit labels indicate a useful…
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Reciprocal and inverse circular functions: VCE Specialist Mathematics Units 3 & 4
Loav · VCE Specialist Mathematics · Units 3 & 4 S34-F01 · Recommended sequence: Unit 3 Prerequisites: Methods circular functions and exact values. Unit labels indicate a useful…
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Vector calculus, projectiles and collisions: VCE Specialist Mathematics Units 3 & 4
Loav · VCE Specialist Mathematics · Units 3 & 4 S34-V06 · Vectors · Motion Start here: V01–V05; differentiation, integration and rectilinear motion.By the end: Recover motion from…
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Parametric curves and conic paths: VCE Specialist Mathematics Units 3 & 4
Loav · VCE Specialist Mathematics · Units 3 & 4 S34-V05 · Vectors · Parametric paths Start here: Circular functions, coordinate geometry and V01.By the end: Translate between…
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Cross products, planes and two-plane geometry: VCE Specialist Mathematics Units 3 & 4
Loav · VCE Specialist Mathematics · Units 3 & 4 S34-V04 · Vectors · Planes in space Start here: V01–V03; simultaneous equations.By the end: Build every standard plane…
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Lines, intersections and skew lines: VCE Specialist Mathematics Units 3 & 4
Loav · VCE Specialist Mathematics · Units 3 & 4 S34-V03 · Vectors · Lines in space Start here: V01–V02; simultaneous equations.By the end: Write line equations, distinguish…
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Dot products, projections and vector proofs: VCE Specialist Mathematics Units 3 & 4
Loav · VCE Specialist Mathematics · Units 3 & 4 S34-V02 · Vectors · Products and geometry Start here: V01; elementary proof reasoning.By the end: Calculate angles and…
