For students in business and the social sciences. Topics include mathematical models, functions and graphs, lines and inequalities, exponential and logarithmic functions, mathematics of finance, systems of linear equations and matrices, linear programming, sets, and probability. Explores the use of technology for business-related applications. Requires a graphing calculator, with the TI-84 Plus series recommended.
Goals, Topics, and Objectives
- To provide non-science majors with a fundamental background in the mathematics most likely to be used in future business, economics, statistics, and applied calculus courses.
- To provide experience in setting up and solving simple mathematical models of the type used in the management and social sciences.
- To provide hands-on experience using technology in linear programming, mathematics of finance, and function explorations.
Upon successful completion of this course, students should be able to:
- Algebra and Equations
- Solve linear and quadratic equations.
- State the properties of exponents.
- Simplify algebraic expressions using the properties of exponents.
- State the rules for radicals.
- Simplify radical expressions using the properties of radicals.
- Graphs, Lines, Inequalities
- Find the slope of a line, and determine the equation of a line satisfying given conditions including parallel and perpendicular lines.
- Graph equations by plotting points including the x and y intercepts.
- Solve problems involving linear models.
- Solve linear, quadratic, and absolute value inequalities.
- Solve rational inequalities.
- Functions and Graphs
- Evaluate functions.
- Sketch the graphs of functions including quadratic functions.
- Solve applications of linear and quadratic functions.
- Graph polynomial functions and simple rational functions.
- Use a graphing calculator to present an analysis of functions in terms of monotonicity and local extrema.
- Exponential and Logarithmic Functions
- Graph exponential and logarithmic functions.
- Solve exponential and logarithmic equations.
- Solve applications of exponential and logarithmic functions.
- Mathematics of Finance
- Solve applied problems from mathematics of finance by choosing and applying the correct formula from formulas for simple interest, compound interest, future value of annuity, and present value of an annuity.
- Systems of Linear Equations and Matrices
- Solve a system of two linear equations in two variables, and solve larger systems of linear equations.
- Solve applications of systems of linear equations.
- Add, subtract, and multiply matrices of appropriate dimension.
- Solve systems of linear equations using matrices.
- Linear Programming
- Graph linear inequalities in two variables.
- Graph the feasible region for a system of linear inequalities.
- Solve linear programming problems using the graphical method.
- Solve problems involving applications of linear programming.
- Solve linear programming problems using the simplex method.
- Sets and Probability
- Define sets and subsets.
- Perform the operations of complement, intersection, and union on sets.
- Analyze and solve applied problems requiring the use of Venn Diagrams.
- Construct a sample space for basic probability experiments.
- Determine the probability of compound events by using the addition and product rules of probability.
Assessment and Requirements
- A comprehensive final examination, weighted in a manner that is worth at least fifteen percent (15%) of the final course grade, is required for all sections. In selected semesters this exam may be a common exam administered to all sections of Math 150.
- 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 graphing calculator is required of each student. The Mathematics Department recommends and uses the TI-84 Series.
Application problems must be covered in all mathematics courses. Every section in any course outline that includes application problems must be covered.