Ratios and Proportions Made Simple
Simplify ratios, share an amount in a ratio, and solve proportions by cross-multiplying, with recipe and map examples.
Author: <span>math_person</span>
Probability Basics: And, Or, Not and Dice
Learn the basic probability rules for 'and', 'or' and 'not', independent and mutually exclusive events, and how to count dice outcomes.
The Poisson Distribution Explained with Examples
When to use the Poisson distribution, how to calculate P(X = k) from an average rate λ, and how it compares with the binomial distribution.
Newton's Method Explained: Finding Roots with Tangent Lines
How Newton's method finds roots of equations by following tangent lines, the formula, worked examples for √2 and cos x = x, and when it fails.
Line of Best Fit: Linear Regression and Correlation Explained
How to find the least-squares line of best fit, what the correlation coefficient r and r² mean, and why correlation is not causation.
How to Solve Cubic Equations Using the Factor Theorem
Solve cubic equations by finding a root with the rational root theorem, dividing it out, and solving the remaining quadratic. Worked examples.
How to Find the Inverse of a Matrix (2×2 and 3×3)
Find the inverse of a 2×2 matrix with the quick formula and of a 3×3 matrix by Gauss–Jordan elimination, and check it with A × A⁻¹ = I.
How to Find the Determinant of a Matrix
Calculate 2×2 and 3×3 determinants with ad − bc and cofactor expansion, learn what a zero determinant means, and see it as an area.
How to Factor Polynomials: A Practical Checklist
A step-by-step checklist for factoring polynomials: common factors, differences of squares, quadratics, grouping and the factor theorem.
Graphing Sine and Cosine: Amplitude, Period and Phase Shift
Learn how A, B, C and D change the graph of y = A sin(Bx + C) + D, with worked examples for amplitude, period, phase shift and midline.