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MATH 114 : Quantitative Reasoning

Credits: 3

Course Description: This course covers the basic algebra and technological tools used in the social, physical and life sciences to analyze quantitative information. The emphasis is on real world, open-ended problems that involve reading, writing, calculating, synthesizing, and clearly reporting results. Topics include descriptive statistics, linear, and exponential models. Technology used in the course includes computers (spreadsheets, internet) and graphing calculators.

Pre-Requisites: Math Placement Test.

Comments: Degree students only

Chapter 1
1.1 An Introduction to Single Variable Data
1.2 Writing about Data
1.3 Visualizing two Variable Data
1.4 Interpreting Equations and Their Graphs
1.5 An Introduction to Functions
1.6 The Language of Functions
Exploration 1.1: Collecting, Representing, and Analyzing Data
Chapter 2
2.1 Average Rates of Changes
2.2 Change in the Average Rate of Change
2.3 The Average Rate of Change in a Slope
2.4 Putting a Slant on Data
2.5 When Rates of Change are Constant
2.6 Linear Functions
2.7 Special Cases
2.8 Finding Linear Models for Data
Exploration 2.1: Having it your Way
    Using US Census Data
    Summarizing the Data: Regression Lines
    Interpreting Regression Lines: Correlation vs. Causation
    Next Steps: Raising More questions
Chapter 4
4.1 Measuring Time and Space: The Numbers of Science
4.2 Simplifying Expressions with Positive Integer Exponents
4.3 Simplifying Expressions with Negative Integer Exponents
4.4 Converting Units
4.5 Simplifying Expressions with Fractional Exponents
4.6 Orders of Magnitude
Chapter 5
5.1 Exponential Growth
5.2 Exponential Decay
5.3 The Graphs of Exponential Functions
5.4 Exponential Growth or Decay Expressed in Percentages
5.5 Examples of Exponential Growth and Decay
5.6 Semi-Log Plots of Exponential Functions
Exploration 5.2: Recognizing Exponential Patterns in Data Tables
Spring 2018 Schedule:

Section Meetings Instructor Comments
MWF 09:00am - 09:50am
Wibiralske, Charles
MWF 10:00am - 10:50am
Wibiralske, Charles
MWF 11:00am - 11:50am
Fuguet, Monique
MWF 12:00pm - 12:50pm
Fuguet, Monique
MWF 01:00pm - 01:50pm
Wibiralske, Charles
TuTh 09:30am - 10:45am
Van Kirk, Katy
TuTh 11:00am - 12:15pm
Van Kirk, Katy
TuTh 12:30pm - 01:45pm
Lehman, Matthew
TuTh 02:00pm - 03:15pm
Pawlak, Mark
TuTh 07:00pm - 08:15pm
Street, Artis

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University of Massachusetts Boston
Phone: 617-287-6460;   Fax: 617-287-6433