MTH208 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
Real Numbers
- Identify the properties of real numbers.
- Evaluate basic mathematical expressions involving real numbers.
- Write mathematical expressions, equations, and inequalities.
Linear Equations and Inequalities
- Identify additive and multiplicative properties of equality.
- Solve linear equations and linear inequalities.
- Solve word problems using a linear equations and linear inequalities.
Graphing Linear Equations and Inequalities
- Plot points on a Cartesian coordinate system.
- Compute the slope of linear equations.
- Graph linear equations and linear inequalities.
- Write the equations of various lines given the graph of those lines.
- Write the equations of various lines given points, intercepts, slopes, and/or parallel lines.
- Apply the concepts of slope and intercept to real-life situations.
- Solve word-problems using the concepts of direct and inverse variation.
Systems of Linear Equations and Inequalities
- Express problems as a system of linear equations.
- Solve systems by graphing.
- Solve systems using substitution and addition.
- Identify dependent, independent, and inconsistent systems.
- Solve word problems involving a system of linear equations and linear inequalities.
Algebra Review
- Review All objectives From Weeks One through Four.
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