This course will present the following concepts: college level algebra, introduction to functions and graphing, the graphs and properties of polynomial, rational, radical, exponential and logarithmic functions.

### Prerequisites

Upon successful completion of the course, students should be able to demonstrate the following knowledge or skills:

- Simplify expressions of several variables.
- Apply appropriate methods to solve complex equations.
- Apply transformations to graphs and relations.

IO2 Quantitative Reasoning: Students will be able to reason mathematically.

- College Algebra
- Manipulate expressions (exponents, radicals, factoring, rationals, complex numbers, complete the square)
- Solve equations (radicals, quadratics, linear formulas, absolute value)

- Functions and Graphs
- Function notation and domain
- Algebra of functions
- Inverse functions
- Graphs with transformations of functions

- Common Functions and Properties
- Square root (graphs and translations)
- Polynomial (graph, synthetic division, real zeros, complex zeros, fundamental theorem of algebra)
- Rational (graphs and asymptotes, partial fractions)

- Exponents and Logarithms
- Simplify and solve exponential equations (including natural base)
- Use the properties of logarithms to simplify expressions and solve equations
- Applications of logarithms and exponents

In order to give the instructor the greatest flexibility in assigning a grade for the course, grades will be based on various instruments at the instructor’s discretion. However, to maintain instructional integrity there must be four class exams (including a final) or three class exams and a project (a project may be substituted for the final). At least 60% of the grade will be based on quantifiable work (exams, homework, quizzes, etc.). The remaining portion of the grade may be based on non-quantifiable work, attendance, projects, journal work, etc., at the instructor’s discretion.