College Mathematics I

Course Description

This course begins a demonstration and examination of various concepts of basic algebra. It assists in building skills for performing specific mathematical operations and problem solving. These concepts and skills serve as a foundation for subsequent quantitative business coursework. Applications to real-world problems are emphasized throughout the course. Specific applications to disciplines such as statistics, accounting, finance, and economics are demonstrated and discussed. A variety of other applications, such as geometry, personal finance, science, and engineering are also presented. Math is a language of logical thinking using symbols and numbers to quantify. This course is the first half of the college algebra sequence, which is completed in MTH 209: College Mathematics II.

Topics and Objectives

Math as a language

  • Develop problem-solving strategies for real life problems.
  • Differentiate the format of expressions, equations, and functions.
  • Explain basic mathematical operations as concepts and laws.
  • Translate word problems into mathematical formulas.
  • Establish algebra's relationship to quantitative business disciplines and real-world situations.

Real Numbers

  • Identify the properties and operations of real numbers.
  • Evaluate algebraic expressions involving fractions and exponents.
  • Evaluate basic mathematical expressions involving real numbers "by hand" and using a calculator.

Linear Equations and Inequalities

  • Solve linear equations.
  • Differentiate linear equations from linear inequalities.
  • Solve linear inequalities.

Graphing Linear Equations

  • Interpret different types of charts.
  • Plot points within a Cartesian coordinates system.
  • Solve linear equations analytically and graphically.
  • Compute the slope of linear equations involving graphical and computational methods.
  • Identify functions.
  • Use function notation.

Graphing Linear Inequalities

    Solve linear inequalities graphically.

Systems of Linear Equations

  • Express problems as a system of linear equations.
  • Establish the relationship between variables.
  • Solve systems of linear equations using graphical and computational methods.

Systems of Linear Inequalities

  • Express problems as a system of linear inequalities.
  • Graph linear constraints.
  • Solve systems of linear inequalities using graphical methods.

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