Students use fundamental counting principles to compute combinations and permutations. Students use combinations and permutations to compute probabilities. Students know the Binomial Theorem and use it to expand binomial expressions which are raised to positive integer powers. Students apply the method of mathematical induction to prove general statements about the positive integers. Students find the general term and the sums of arithmetic series and both finite and infinite geometric series.
Students derive the summation formulas for arithmetic series, finite and infinite geometric series.
Students solve problems involving functional concepts such as composition, inverse, and arithmetic operations of functions. Students use properties from number systems to justify steps in combining and simplifying functions.