Integrated Math 3 The final year of the integrated pathway, and the year the function catalogue fills out. Polynomials bring end behaviour and the factor theorem, rational and radical functions bring domains that bite back, logarithms finally solve for the exponent — and the year closes with trigonometric functions, inference, and choosing the right model for a situation. The year that opens Precalculus.
The course — 8 units, in order
01 Polynomial Functions End behaviour from the leading term, zeros and multiplicity, the remainder and factor theorems, and polynomial arithmetic beyond the quadratic. Start 02 Rational & Radical Functions Simplifying and combining rational expressions, asymptotes and holes, solving rational and radical equations, and why extraneous solutions appear. Start 03 Exponential & Logarithmic Functions The logarithm as the inverse of an exponential, the three laws and where they come from, solving equations in the exponent, and modelling growth and decay. Start 04 Trigonometric Functions & General Triangles Radian measure and the unit circle, extending the ratios beyond acute angles, the graphs of sine and cosine with amplitude and period, the Pythagorean identity, and the Laws of Sines and Cosines. Start 05 Function Families & Inverses Transformations applied to every family at once, even and odd symmetry, composing functions, and inverses — what they undo and when they exist. Start 06 Sequences, Series & the Binomial Theorem Arithmetic and geometric series and their sum formulas, infinite geometric series and when they converge, and the binomial theorem from Pascal's triangle. Start 07 Statistical Inference Populations against samples, random sampling and why it matters, the normal model, simulation, margin of error, and what an experiment can conclude that an observational study cannot. Start 08 Modelling with Functions Choosing a function family from a situation, fitting it to data, judging a model against its residuals, and knowing the range over which it can be trusted. Start When you have finished the course
Practice Exams 3 full-course papers, every unit represented. The result breaks down by unit, so it names what to go back to. Open