Precalculus: College Algebra and Trigonometry (Professor Leonard)

Professor Leonard's full precalculus course in more than a hundred classroom lectures: college algebra first, then trigonometry. It starts with an introduction to functions, evaluating functions, finding the domain, operations on functions and the vertical line test, and continues through graphs and transformations, polynomial and rational functions, exponential and logarithmic functions and systems, before the trigonometry half: angles, the unit circle, graphs of trigonometric functions, identities, and sum, difference, double- and half-angle formulas. Lectures are long and patient, often 30 to 60 minutes. A strong bridge from FSc or O/A Level maths to university calculus.