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Mathematics 114

Math 114
Math & Human Society

Catalog Entry

MATH 114. Math and Human Society
Three Lecture hours (3).

Prerequisites: None

Core Math for the Social Sciences. Topics covered include descriptive statistics, measurement, mathematical modeling, financial mathematics, and voting.  Will not satisfy requirements for a major in mathematics.

 

Detailed Description of Course

 

Topics:

1.      DESCRIPTIVE STATISTICS    

 

·         The Idea of Statistics

·         Frequency Distributions

·         Graphical Methods for Describing Data

o   Bar charts, Pie charts, Stem-and-Leaf Diagrams, Histograms

·         Averages

o   Mean, Median, Mode

·         Variability

o   Variance, Standard Deviation, Range

·         Statistics in Microsoft Excel

·         The Normal Distribution

 

2.      MEASUREMENT

 

·         Units and Conversions

·         Scale

·         Dimensional Analysis

 

3. MODELLING

 

·         Linear Models

·         Quadratic Models

·         Exponential Models

·         Logarithmic Models

·         Deterministic Chaos

 

4. FINANCIAL MATHEM  

·         Percents

·         Simple Interest

·         Compound Interest

·         Loans

 

5. VOTING AND APPORTIONMENT

 

·         Voting

·         Voting Problems

·         Apportionment (if time permits)

 

Detailed Description of Conduct of Course

In addition to lecture/recitation this course will include cooperative/group learning and projects, Socratic (instructor-student) and group (student-student) dialogue, and written responses to material. Course materials will include project material and assessment developed by math department faculty, in coordination with such departments as Media Studies, Criminal Justice, Psychology, Sociology, and Communications.

 

Student Goals and Objectives of the Course

Intended primarily as a quantitative literacy course for students whose professional interests and pursuits require them to be able to understand and analyze the social and physical world in its many quantitative aspects. Students will acquire knowledge and techniques that permit them to understand and employ mathematical methods for measuring, assessing, modeling, and forecasting. Additionally, students will be able to comprehend quantitative claims and data, and be armored against the intentional or unintentional use of statistics or argument to deceive and distort.

Students will be able to use the tools of mathematics and quantitative reasoning to conceptualize and solve problems.

 

Students will be able to:

a.       identify and interpret relationships among numeric, symbolic, and graphical information

b.      generate mathematical models using numeric, symbolic, and graphical information for use in real-world applications

c.       solve problems using numeric, symbolic, and graphical information

 

Assessment Measures

 

Students will be assessed on their content knowledge of the mathematical topics presented using traditional instruments, including a common multiple-choice final exam. In addition, students will be assessed on their in-class engagement (participation) and on their cooperative work with other students.

 

Other Course Information

 

Review and Approval Date