MTH 1301 - Ideas in Mathematics

Text: A Mathematical View of Our World, 1st edition – Brooks-Cole - by Parks, Musser, Trimpe, Maurer, and Maurer

Tentative Course Outline
Number in Our Lives
• Identification Number and Check Digits
• Modular Arithmetic and Check Digit Schemes
• Encoding Data


Voting and Elections
• Voting Systems
• Flaw of the Voting Systems
• Weighted Voting Systems


Fair Division
• Divide and Choose Methods
• Discrete and Mixed Division Problems
• Envy-Free Division


Apportionment
• The Apportionment Problem – Quota Methods
• The Apportionment Problem – Divisor Methods
• Flaws of the Apportionment


Descriptive Statistics – Data and Patterns
• Organizing and Picturing Data
• Comparisons
• Enhancement, Distraction and Distortion


Collecting and Interpreting Data
• Populations, Samples and Data
• Survey Sampling Methods
• Measure of Central Tendency and Variability


Probability
• Computing Probabilities in Simple Experiments
• Computing Probabilities in Multistage Experiments
• Conditional Probability, Value and Odds


Growth and Decay
• Malthusian Population Growth
• Population Decrease
• Radioactive Decay
• Logistic Population Models


Consumer Mathematics – Buying and Saving
• Simple and Compound Interest
• Loans
• Buying a House