Thus, words are used in the way in which they are defined. While most of the reasoning in algebra is deductive, inductive procedures are also used. Counter examples are presented to prove generalizations false. Students are also shown that particular examples of a principle do not constitute a proof of a generalization. The concept of a function is a unifying concept in mathematics, but it also appears in other contexts.
College algebra teaches methods of solution for linear and quadratic equations and inequalities.
The concept of absolute value is important with regard to the measurement of distances. The fact that the larger the absolute value of a negative number is, the smaller the number, is presented in the course. Exponential functions have application to population growth and to laws of growth and decay. Those who take the course should be able to comprehend graphs of the sort presented in U.S.A.Today as well as in various texts. Permutations and combinations have important applications in determining the number of ways in which certain activities may be done.