Overview — Algebra and Functions

A fee rule, a discounting formula and a seasonal model all turn inputs into outputs. This topic teaches the algebra needed to read those rules and solve for an unknown. Start with arithmetic and functions, then study exponentials and trigonometry. The linked library treatments are optional extensions; you do not need the full Calculus I course to complete this primer.

By the end of this topic you should be able to:

• manipulate fractions, powers and algebraic expressions without changing their meaning;
• solve linear and quadratic equations and interpret a function's inputs and outputs;
• convert between exponential and logarithmic forms and use continuous compounding;
• work with radians, sine and cosine in simple periodic models;
• decide whether to continue directly to calculus or revisit the linked library lessons.

1. Contents
2. The big picture
3. Diagnostic use