Catalog Course Search Details

 Department:    MATH&

 Course #:    107

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    270101

 EPC:    n/a

 REV:    2024

 Course Description  

Explores practical applications of mathematics that arise in everyday life. Emphasizes numerical and logical reasoning, mathematical decision making, mathematical symbols, techniques and computations. The core course topics include proportional reasoning, consumer finance, probability, descriptive statistics, and growth and decay models (linear and exponential). Satisfies the Quantitative Reasoning portion of the AA-DTA degree.

 Prerequisite  

Prerequisite: A grade of C or higher in MATH 97 or CCB 43; or placement into MATH& 107; or C or higher in MATH 96 or CCB 42 and co-enrollment in MATH 7; or placement into MATH 97 and co-enrollment with MATH 7.

Contact Hours (based on 11 week quarter)

Lecture: 55

Lab: 0

Other: 0

Systems: 0

Clinical: 0

Intent: Distribution Requirement(s) Status:  

Academic Natural Sciences, Quantitative  

Equivalencies At Other Institutions

Learning Outcomes

After completing this course, the student will be able to:

1. Use proportions, ratios, and dimensional analysis to interpret and compare quantities and use these relationships to analyze problems in context.
2. Apply relevant formulas and perform calculations pertaining to personal finance
3. Summarize, interpret, and analyze models and sets of data using appropriate statistical calculations and terminology to make informed decisions.
4. Use modeling to solve problems in economics, communications, group dynamics, and other real world situations.
5. Analyze scenarios to determine if they describe linear or exponential growth and apply these models in context.

General Education Learning Values & Outcomes

Revised August 2018 and affects outlines for 2019 and later.

Quantify

Definition: Apply mathematical skills quantitatively, logically, creatively, and critically.

Course Contents

1. Consumer Finance
   • Percent increase/decrease
   • Simple and Compound Interest
   • Annuities
   • Amortized loans and schedules
2. Probability
   • Basic terms and rules of probability
   • Combinatorics and Counting Principles (optional)
   • Calculating Probabilities
   • Expected value
   • Conditional probability
3. Statistics
   • Graphical display of data
   • Numerical summary of data
   • Statistical literacy
   • Linear regression
4. Proportional Reasoning
   • Ratios and proportions
   • Dimensional analysis
   • Multistep contextual problems
5. Growth and Decay Models
   • Linear Growth; interpretation of slope and intercepts
   • Exponential Growth and Decay
   • Logarithmic Models (optional)
6. Additional Topics may include but are not limited to:
   • Logic
   • Sets and Counting
   • Geometry
   • Number Theory
   • Graph Theory
   • Linear Programming
   • Voting and Apportionment
   • Math and Music
   • Game Theory