COURSE OBJECTIVES:

At the end of the semester, students will have an understanding of the concepts and techniques listed below.  This understanding will be enhanced through directed group and individual computer exercises and group and individual projects.  The computer algebra system Derive, the spreadsheet Excel and the graphing calculator make it possible to explore non-routine problems and applications.  In some instances, students will be allowed to write their own code in the programming language of their choice instead of, or in conjunction with, the other software.

COURSE CONTENT:

At the end of the semester, the student will be able to:

• use the following to solve counting/probability problems
multiplication rule
permutations
combinations

• evaluate expected value

• identify and solve problems using an Euler Circuit

• identify a Hamiltonian Cycle

• identify and constuct a minimal spanning tree

• apply two approaches to solving the Traveling Salesman problem

• translate sentences to symbolic form

• construct truth tables

• state the converse, inverse and contra positive of statements

• determine if an argument is valid or not

• design a simple circuit as a logic application

• compute fractal dimension

• generate fractals

• determine aerial photograph scale using maps