7a. Prerequisite(s): (Course and/or other preparation/experience that is REQUIRED to be completed previous to enrollment in this course.)

Completion of Math D, or equivalent with a grade of "C" or better, or placement by matriculation assessment process.

7b. Co-requisite(s):  (Courses and/or other preparation that is REQUIRED to be taken concurrently with this course.)

7c. Advisory: (Minimum preparation RECOMMENDED in order to be successful in this course.  Also known as “Course Advisory”.)

9b. Catalog Description:

Introduces liberal arts students to the art and application of mathematics in the world around them. Topics include number theory, geometry, voting and apportionment, and mathematical modeling. Not recommended for students entering elementary school teaching or business.

10. Student Performance Outcomes: (Outcomes for all credit courses must indicate that students will learn critical thinking and will be able to apply concepts at college level.  Outcomes must be related to items listed in Section 11.)

I. A. 1. a) Distinguish between different types of geometric symmetry.
b)Reflect, rotate, and translate points and finite shapes using several types of geometric symmetry.
2. Analyze types of symmetry in natural and human-made objects.
B. 1. Analyze a numeric sequence and predict subsequent values.
2. Inspect various real-world phenomena and test for Fibonacci traits.

II. A. Construct a variety of addition, subtraction, multiplication, and division equations with equal solutions in different modulii.
B. Compare and contrast different coding systems such as ISBN, Public Key, RSA, UPC, and EFT.

III.A. Examine, assess, and criticize various voting and apportionment schemes.
B. Analyze and evaluate different taxation systems.

IV. A.1. Quantify the value of different brands of consumer products.
2. Prepare a financial model of representative scenarios of budgets.
B. Appraise relative environmental health risks.

11. Course Content Outline: (Provides a comprehensive, sequential outline of the course content, including all major subject matter and the specific body of knowledge covered.)

I. Symmetry and Patterns
A. Geometric Symmetry
1. Types of Geometric Symmetry
2. Symmetry around us
B. Patterns
1. Numeric Patterns and Sequences
2. The Fibonacci Sequence and the Golden Ratio

II. Number Theory
A. Modular Arithmetic
B. Coding systems

III. Citizen's Mathematics
A. Voting and Apportionment
1. Voting Systems
2. Apportionment
B. Taxation Systems

IV. Mathematical Modeling
A. Financial Modeling
B. Environmental Modeling

12. Typical Assignments: (List types of assignments, including library assignments.)

a. Reading Assignments: (Submit at least 2 examples)

1. Read selections in the textbook concerning Fibonacci numbers and the Golden Ratio. Come to class prepared to discuss the ideas with others.

2. Read the selection in the textbook regarding Hamilton's and Jefferson's respective proposals for the first apportionment of the House of Representatives. Also, find and read "The Papers of Alexander Hamilton Vol XI" and "The Works of Thomas Jefferson Vol VI". Come to class prepared to discuss comparisons between the two approaches to apportionment.

b. Writing, Problem Solving or Performance: (Submit at least 2 examples)

1. Imagine you are employed by a small company that doesn't yet use identification numbers and bar codes for its employees or products. As requested by your boss, prepare a report discussing the various methods of identification and make a recommendation.

2. Select two risky activities you undertake and analyze their risk level using one of the measures discussed in the text. Explain your analysis. Might your findings change your behavior?

c. Other (Terms projects, research papers, portfolios, etc.)

SECTION D

SECTION E

SECTION F

SECTION G