MAT1033 - Intermediate Algebra

Topical Outline with Specific Course Objectives

  1. Review
    1. Demonstrate an ability to factor algebraic expressions into primes using techniques of removing common factors, and factoring the difference of squares and trinomials.
    2. Use the properties of inequalities and equivalent inequalities to solve linear inequalities in one variable and express the solutions graphically or in interval notation.
  2. Rational Expressions and Equations
    1. Evaluate rational expressions, and use prime factorization to reduce simple rational expressions (decreased emphasis).
    2. Use the properties of equalities and equivalent equalities to solve rational equations; apply to word problems involving ratios and proportions.
  3. Radicals and Rational Exponents
    1. Demonstrate the relationship between exponents and radicals.
    2. Use the properties of radicals to simplify simple radicals.
    3. Use the properties of equality to solve equations involving one radical expression.
  4. Quadratic Equations
    1. Recognize a quadratic equation; choose and apply the most efficient method to solve it.
    2. Apply skills to word problems involving quadratic equations.
  5. Linear Equations and Inequalities in Two Variables
    1. Use tables and graphs as tools to interpret expressions, equations, and inequalities.
    2. Locate the x and y intercepts graphically and algebraically and interpret them in the context of the problem.
    3. Explain and determine the slope of a line as the ratio of change in the dependent variable with respect to change in the independent variable.
  6. Systems of Linear Equations and Inequalities and their Graphs
    1. Connect the solution set of a system of two linear equations in two variables with the graphs of the two equations.
    2. Connect the solution set of a system of two linear inequalities in two variables with the graphs of the two inequalities.
  7. Introduction to Functions
    1. Recognize functions in table, graph, equation or verbal form.
    2. Understand that for a function one input value results in one output value.
    3. Determine the acceptability of a value to be used for the independent variable in an equation that defines a function.
    4. Determine the domain and range of a relation from a graph.
    5. Use and understand functional notation.
  8. Linear Functions and Their Applications
    1. Express linear and quadratic functions in table, graph, equation, or verbal form.
    2. Make connections between the parameters of a function and the behavior of the function.
    3. Recognize that a variety of problem situations can be modeled by the same type of function.
    4. Use patterns and functions to represent and solve problems.
    5. Extract and interpret information presented in a graph.

Department Policies

  • Graphing Calculator Required  
  • Comprehensive Common Final
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