## Chapter 9 - Discrete Mathematics"The branches of mathematics known broadly as algebra, analysis, and geometry come together so beautifully in calculus that it has been difficult over the years to squeeze other mathematics into the curriculum. Consequently, many worthwhile topics like probability and statistics, combinatorics, graph theory, and numerical analysis that could easily be introduced in high school are (for many students) either first seen in college electives or else never seen at all.
This situation is gradually changing as the applications of non-calculus mathematics become increasingly more important in the modern, computerized, data-driven workplace. Therefore, besides introducing important topics like sequences and series and the Binomial Theorem, this chapter will touch on some other discrete topics that might prove useful to you in the near future." (Demana, Franklin D. "Chapter 9." Precalculus: Graphical, Numerical, Algebraic. 7th ed. Boston: Addison-Wesley, 2007. 700. Print.) |
"As the use of cellular telephones, modems, pagers, and fax machines has grown in recent years, the increasing demand for unique telephone numbers has necessitated the creation of new area codes in many areas of the United States. Counting the number of possible telephone numbers in a given area code is a combinatorial problem, and such problems are solved using the techniques of discrete mathematics. See page 707 for more on the subject of telephone area codes."
(Demana, Franklin D. "Chapter 9." Precalculus: Graphical, Numerical, Algebraic. 7th ed. Boston: Addison-Wesley, 2007. 699. Print.) |

Lesson 9.4 - SequencesThis lesson will cover infinite sequences, limits of infinite sequences, arithmetic and geometric sequences, and sequences with graphing calculators. |
Lesson 9.5 - SeriesThis lesson will cover summation notation, sums of arithmetic and geometric sequences, infinite series, and convergence of Geometric series. |