Precalculus

Function Analysis

1. Polynomial Functionsgraphs, zeros, end behavior, division, curve shape2–4 h
2. Rational Function Asymptotesvertical/horizontal/slant asymptotes, limits preview2–4 h
3. Exponential & Logarithmic Functionsinverses, graphs, modeling, doubling time and half-life2–4 h

Advanced Coordinates

1. Parametric Equationseliminating the parameter, applications to motion2–4 h
2. Polar Coordinatesgraphs of polar curves, converting equations2–4 h
3. Vectorscomponents, magnitude, direction, dot product, applications (physics, forces)2–4 h

Sequences & Limits Preview

1. Sequences & Series Reviewrecursive definitions, sigma notation, convergence intuition2–4 h
2. Binomial TheoremPascal's triangle, binomial coefficients, expansion2–4 h
3. Limits Previewintuitive limits, tangent line problem, area problem2–4 h