Quantitative Reasoning
GENERAL EDUCATION: This course fulfills a General Education - Math requirement.

DESCRIPTION: Exploration of contemporary mathematical reasoning covering topics such as logic, problem solving, finance math, linear and exponential modeling, probability and statistics. Will satisfy both the BYU-Idaho and Idaho Core math requirements. Will not serve as a prerequisite for college algebra, trigonometry, or any calculus-based courses.
TAUGHT: Winter, Summer, Fall
CONTENT AND TOPICS: A course designed to meet the mathematical needs of the liberal arts student. Topics may include mathematical modeling, regression, finance mathematics, probability, statistics, logic, and mathematical patterns and aesthetics. This course will satisfy both the BYU-Idaho and Idaho Core mathematics requirements but will not serve as a prerequisite to other mathematics courses.
GOALS AND OBJECTIVES: 1. Acquire basic quantitative skills dealing with percentages, error analysis, numeric paradoxes and other comparisons.
2. Learn and apply the practical financial principles of compound interest, debt management, annuities, amortizations, diversified portfolios and tax calculations.
3. Discuss the fiscal and political issues of national debt, Social Security and progressive income taxes, tax credits versus deductions, tax-deferred savings.
4. Recognize and critique fallacious reasoning in our society and analyze validity and/or soundness in deductive and inductive arguments.
5. Describe data using appropriate statistical graphs and numerical summaries as well as pinpoint the misuse of graphical representations.
6. Discuss the potential for abuse and misuse of statistics and be able to critique statistical studies found in professional journals.
7. Compute the mean, median, mode, standard deviation, five-number summary and other meaningful descriptive statistics.
8. Show how to compute the margin of error, randomize samples and interpret level of significance, apply the 68-95-99 and Range Rules of Thumb.
9. Gain facility with basic probability rules, At Least Once Rule, law of averages, expected value and gambler's fallacy.
10. Understand the differences between linear, exponential and logistic functions when modeling growth and decay as well as the subtleties inherent in population modeling.
11. Describe the overshoot and collapse theory, the Rule of 70 and doubling time versus half-life periods in the context of exponential modeling.
REQUIREMENTS: A graphing calculator may be required for each student. (See class schedule.) There will be student board work, written examinations, homework exercises, projects, and take-home examinations given in this course.
PREREQUISITES: Math 101 with a grade of "B" or higher or two years of high school algebra. You must also achieve a satisfactory score on the placement exam. The placement exam will cover topics from high school algebra I and II and will be offered during the first week of class. A practice exam is available on the web.