
Crestellar Academy
Mock exams · past papers · 5**
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What's New in Crestellar Academy
4.1
September 12, 2026
VISUAL MATH LAB — M1 AND M2 START HERE • The Lab now opens on a subject picker: Compulsory Part (21 labs, 6 strands), M1 Calculus & Statistics (12 labs, 3 strands) and M2 Algebra & Calculus (13 labs, every strand). • Nine new M1 labs: Exponential Growth & Decay (equal times multiply by equal factors), Maxima & Minima (where f′ changes sign the curve turns — and the end points can win), The Trapezoidal Rule (equal strips, and concavity says over or under), Bayes' Theorem (turn P(A | B) around, and watch the base rate decide), Discrete Random Variables (where the bars balance, and how far they spread), Binomial, Geometric & Poisson (three ways to count — and when each one fits), The Normal Distribution (every normal curve is the standard one, rescaled), The Central Limit Theorem (sample means from any population pile into a bell) and Confidence Intervals (most intervals catch μ — you never know which ones); M1 also lists the Exponential ↔ Logarithm, Related Rates and Indefinite Integration labs it shares with the other papers. • Thirteen new M2 labs: Systems of Linear Equations (watch three planes meet at a point, a line, or nothing), Matrices & Determinants (the determinant IS the area factor), Volumes of Revolution (spin the region, slice it, stack the discs), Vectors in Space (the dot product, the cross product, and the volume they span), Limits & the Derivative (let h shrink and the secant becomes the tangent), Trigonometric Identities (two waves in, one wave out), Indefinite Integration (+ C is a whole family of curves, not one), The Binomial Theorem (one row of Pascal, every term at once), Mathematical Induction (turn the base case off and the entire ladder goes dark), First Principles & Named Limits (squeeze sin θ/θ to 1, then find the base whose slope at 0 is exactly 1), Curve Sketching (slide a parameter and watch two turning points merge), Related Rates (a steady rate in, a changing rate out) and Definite Integral Properties (areas that cancel, split and reflect). • M2 Systems of Linear Equations and M1 The Central Limit Theorem are completely free — no account needed. • Fixed: the formula box no longer flickers its height when you tap a question-type number.
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