MATH 1012 Syllabus

Subject Code

MATH

Course Number

1012

Course Title

Foundations of Mathematics

Prerequisites

MATH 0097 with a grade of C* or higher or placement by diagnostic testing

Corequisites

Terms Offered

Offered every semester

Credit Hours

(3-0-3)

Course Description

This course emphasizes the application of basic mathematical skills used in the solution of occupational and technical problems. Topics include fractions, decimals, percents, ratios and proportions, measurement and conversion, geometric concepts, technical applications, and basic statistics.

Course Outcomes

Fractions

  • Simplify fractions.
  • Multiply and divide fractions.
  • Add and subtract fractions.
  • Add, subtract, multiply, and divide mixed numbers.
  • Solve application problems with fractions.
  • Perform hierarchy of operations.

Decimals

  • Read and write decimal word names.
  • Identify place value.
  • Round decimal notation.
  • Add and subtract decimal notation.
  • Multiply decimal notation.
  • Divide decimal notation.
  • Convert between fraction notation to decimal notation.
  • Solve application problems with decimal notation.
  • Perform hierarchy of operations.

Ratios and Proportions

  • Define ratios and rates.
  • Simplify ratios in fraction form.
  • Find unit rates.
  • Solve a proportion using cross products.
  • Solve application problems involving proportions.

Percent

  • Convert between percent and decimal notation.
  • Convert between percent and fraction notation.
  • Solve basic percent problems.
  • Solve application problems involving percent.
  • Solve application problems involving percent.

Measurement and Conversion

  • Convert measurements of length, weight/mass, and capacity within the American System.
  • Convert measurements of length, weight/mass, and capacity within the Metric system.
  • Convert measurements between the American and Metric systems.
  • Solve application problems involving measurement.

Geometric Concepts

  • Identify basic two and three dimensional figures.
  • Find the perimeter of polygons and circumference of circles.
  • Find the area of polygons and circles.
  • Solve for volume of three-dimensional objects.
  • Identify and solve problems involving angles.

Technical Applications

  • Apply mathematical concepts of varied occupational applications.

Basic Statistics

  • Solve applications involving circle, bar, and line graphs.
  • Solve applications involving frequency, distributions, and histograms.
  • Find the mean, weighted mean, median, and mode for a set of data.