Quantitative Reasoning

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Midterm/Final Exam Info: 

Fall 17 Exam Dates:

Exam 1: Friday, September 22

Exam 2: Friday, October 20

Exam 3: Friday, November 17

Final exam: Wednesday, December 13, 5:30-7:30 pm

Quantitative Reasoning
Course Number: 
Math 1050

Course Description

Promotes mathematical literacy among students. This course will cover important mathematical ideas and problem solving skills in the context of science, technology, and/or society. Topics may include: logic and critical thinking, Venn Diagrams, problem solving, sets, units of measure, percentages and ratios, counting and probability, exponential growth and decay, linear and exponential models. Quantitative Reasoning is designed to stimulate interest in and appreciation of mathematics and quantitative reasoning as valuable tools for comprehending the world in which we live.

This course does not satisfy the prerequisite of any other math course.

Textbook and Course Materials:

  •  MML AUTOACCESS – Required
  • COURSE WORKBOOK – Custom Edition - Required – A manual containing an outline of class notes.
  • TEXTBOOK – Recommended - Using & Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition) by Bennett and Briggs
  • NOTE:  Students may use a TI-30XA or TI-30X IIS scientific calculator on exams in this course.  No other calculators are permitted.

Sections Covered

  • Chapter 1-Thinking Critically (about 6 lectures)
    • 1A  The Concept of Logical Argument (Logical Fallacies, Evaluating Logical Statements)
    • 1B  Propositions and Truth Values (Negation, Logical Connectors)
    • 1C  Sets and Venn Diagrams
    • 1D  Analyzing Arguments (Inductive and Deductive)
  • Chapter 2-Approaches to Problem Solving (about 4 lectures)
    • 2A  Working with Units (Operations with Units, Unit Conversion)
    • 2B  Problem Solving with Units
  • Chapter 3-Numbers in the Real World (about 4 lectures)
    • Review  Percentages and Ratios
    • 3A  Uses and Abuses of Percentages     
    • 3B  Putting Numbers in Perspective
    • 3C  Dealing with Uncertainty (Significant Errors, Random and Systematics Error, Absolute and Relative Error)
    • 3E  How Numbers Can Deceive: Polygraphs, Mammograms, and More
  • Chapter 4-Managing Money (about 8 lectures)
    • Review  Powers and Roots
    • 4A  Taking Control of Your Finances
    • 4B  The Power of Compounding (Simple vs Compound Interest, Compound Interest Formula, APY, Continuous Compounding (uses e^x)
    • 4C  Savings Plans and Investments (Savings Plan Formula, Total and Annual Return, Stocks and Bonds)
    • 4D  Loan Payments, Credit Cards, and Mortgages
  • Chapter 6-Putting Statistics to Work (about 4 lectures)
    • 6A Characterizing Data
    • 6B Measures of Variation
  • Chapter 7-Probability (about 4 lectures)
    • 7A  Fundamentals of Probability (Theoretical, Frequency, and Subjective Probability, Distributions)
    • Review  The Multiplication Principle
    • 7B  Combining Probabilities (And vs Either/Or, At Least Once Rule)
    • 7E  Counting and Probability (Arrangements, Permutations, Combinations)
    • Review  Factorials
  • Chapter 8-Exponential Growth and Decay (about 2 lectures)
    • 8A  Growth: Linear vs Exponential
    • 8B  Doubling Time and Half-life (Approximate Doubling Time and Half-life Formula, Exact Formulas)
  • Chapter 9-Modeling (about 2 lectures)
    • 9A  Functions and Modeling (Function Notation, Domain and Range)
    • 9B  Linear Modeling (Linear Functions, Slope, slope-intercept form)