Math TSA Tech Bowl Study Guide

Sections: Algebra, Geometry, Calculus

i

Defined as the solution to the equation x²=-1. It allows for the solution of equations that have no real number solutions, forming complex numbers when combined with real numbers.

𝜋

An irrational, transcendental constant representing the ratio of any circle's circumference to its diameter, approximately 3.141593. It is central to geometry and trigonometry.

𝑒

A mathematical constant approximately equal to 2.71828. It is the base of the natural logarithm and defines the rate of continuous growth (e.g., compound interest, population growth).

The inverse function of exponentiation. If b^y=x, then log_b(x)=y. It answers the question: "To what power must the base 𝑏 be raised to equal 𝑥?".