For students pursuing a liberal arts curriculum or a program without a specified mathematics requirement. Topics include linear and exponential growth; statistics; personal finance; and geometry, including scale and symmetry. Emphasizes techniques of problem-solving and application of modern mathematics to understanding quantitative information in the everyday world.
Goals, Topics, and Objectives
- To generate an appreciation of the quantitative tools that help to present and explain issues arising in the media and students' daily lives.
- To heighten communication skills, both written and oral, of mathematical ideas so that students can express quantitative evidence in support of an argument or purpose of a work.
- To increase the ability to explain information presented in mathematical forms such as equations, graphs, diagrams, tables, and paragraphs and to convert relevant information between the forms.
- To strengthen the ability to make judgments and draw appropriate conclusions based on the quantitative analysis of data, while recognizing the limits of this analysis.
- To enhance mathematical competence in performing appropriate calculations and communicating results in the specific areas of modeling, personal finance, basic statistics, and geometry.
- Linear and Exponential Change
- Recognize linear functions.
- Find the slope of a linear function or model.
- Interpret the slope of a linear function or model.
- Find trend lines.
- Interpret trend lines.
- Find an exponential formula modeling data or a percentage-growth situation.
- Solve problems involving exponential functions, such as growth, decay, doubling time, and half-life.
- Describe how exponential and logarithmic functions are related.
- Solve problems involving logarithms, such as sound volume and earthquake magnitude.
- Personal Finance
- Calculate simple and compound interest.
- Solve problems about Annual Percentage Rate and Annual Percentage Yield.
- Use formulas and amortization tables to solve problems about loans.
- Use tables and formulas to solve problems about savings and annuities.
- Calculate the interest paid on a credit card transaction.
- Solve problems about inflation.
- Basic Statistics
- Calculate mean, median, and mode, and choose the most representative number from among these.
- Classify a data value as an outlier.
- Calculate a five-number summary and use it to construct a box plot.
- Calculate the standard deviation for a data set.
- Interpret the standard deviation for a data set.
- Construct a histogram.
- Determine whether data are distributed normally.
- Apply properties of the normal distribution, including calculating z-scores.
- Calculate percentiles.
- Interpret percentiles.
- Apply the Central Limit Theorem.
- Apply the terms "margin of error," "confidence interval," and "confidence level."
- Calculate the sample size necessary for a particular confidence level.
- Determine whether results are statistically significant.
- Describe correlation and distinguish it from causation.
- Calculate perimeters and areas of plane figures.
- Solve problems involving the Pythagorean Theorem.
- Calculate surface areas and volumes of three-dimensional figures.
- Apply properties of proportionality to similar figures.
- Recognize rotational symmetry and reflectional symmetry.
- Apply properties of rotational symmetry and reflectional symmetry.
Assessment and Requirements
- All students will be required to complete a comprehensive final examination that assesses the learning of all course objectives. This exam must be weighted in a manner so that this exam score is worth a minimum of fifteen percent (15%) of the final course grade.
- Additional assessment of student achievement may include assignments, quizzes, and exams.
- Application problems must not only be included on chapter exams but also on the final exam.
- A scientific calculator is required of each student.
- Application problems must be covered in all mathematics courses. Every section of any course outline that includes application problems must be covered.
Credit for Prior College-Level Learning
50, CLEP College Mathematics exam, taken at any certified Testing Center, such as HFC’s Workforce & Professional Development’s Testing Center (313) 317-6600.
A student may receive credit for Math-131 by earning a minimum score of 50 on the CLEP College Mathematics exam.