Integrated Math 3

Asymptotes and holes, simplifying rational expressions, and radical equations with their extraneous roots.

Logarithms as inverse exponentials, the log laws, change of base, and solving for the exponent.

Radians and the unit circle, exact values, amplitude and period of sinusoids, and the Pythagorean identity.

Transformations across every family, even and odd symmetry, composition, and inverse functions.

Arithmetic and geometric series, convergence of infinite geometric series, and Pascal's triangle.

Samples against populations, the normal model, z-scores, simulation verdicts, and margins of error.

Choosing a function family from data, building models from minimal information, and reading residuals.