MTH 095 - Intermediate Algebra

5 Credit(s)

Topics include equations, function notation, polynomials, coordinate graphing, rational equations, radical equations, exponents, quadratic functions, absolute value equations and inequalities, exponential and logarithmic functions, inequalities and problem solving methods. This course provides a foundation for MTH 097, MTH 105-107, MTH 111, or MTH 211 or MTH 213.

Prerequisite: MTH 065 or MTH 070 completed with a grade of “C-” or better within the past two years or placement by the College’s Math Placement Process.
Learning Outcomes
Upon successful completion of this course, the student should be able to:

Use prerequisite concepts and skills of the arithmetic of real numbers
Manipulate and evaluate expressions involving exponents, and use scientific notation
Simplify expressions involving polynomials, including factoring
Simplify and perform operations involving rational expressions
Solve equations involving rational expressions
Solve application problems leading to equations involving rational expressions
Use function notation and distinguish between input and output
Write the equation of a line and graph lines on a rectangular coordinate system
Solve linear equations and apply linear equations to application problems
Solve and graph a linear inequality, and use interval notation
Simplify and perform operations involving radical expressions
Solve equations involving radical expressions
Solve application problems leading to equations involving rational expressions
Write the square root of a negative number in terms of i, and operate with complex numbers
Solve quadratic equations by taking square roots, by completing the square, and by the quadratic formula
Given a quadratic function find its vertex, axis of symmetry, and intercepts, and graph the parabola
Model and solve application problems involving quadratic equations and functions
Evaluate an exponential function
Translate between equivalent exponential and logarithmic notations
Model and solve application problems involving exponential and logarithmic equations
Use a scientific calculator when appropriate and in an efficient manner

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