**Contact Hours (based on 11 week quarter)**

Lecture: 55

Lab: 0

Other: 0

Systems: 0

Clinical: 0

**Intent:**
**Distribution Requirement(s) Status:**

Academic
N/A

**Equivalencies At Other Institutions**

Other Institution Equivalencies Table
Institution |
Course # |
Remarks |

N/A |

**Learning Outcomes**

**After completing this course, the student will be able to:**

- Work with logarithms by
- Graphing logarithmic functions
- Solving logarithmic equations
- Solving exponential equations

- Solve absolute value equations
- Solve absolute value inequalities and
- State solutions using interval and set notations
- Graph solutions on a number line.

- Work with rational expressions by
- Simplifying
- Adding, subtracting, multiplying and dividing

- Work with rational functions by
- Finding the domain of rational functions
- Graphing basic rational functions
- Solving rational equations
- Solving similar triangles
- Using rational functions to model data

- Work with radical expressions by
- Simplifying
- Adding, subtracting, multiplying and dividing
- Rationalizing numerators and denominators

- Work with radical functions by
- Solving radical equations
- Graph radical functions

- Perform operations using complex numbers, such as
- Adding, subtracting, multiplying and dividing
- Finding conjugates

- Demonstrate an understanding of mathematical modeling by
- Modeling with rational functions
- Modeling with radical functions
- Modeling with exponential functions
- Modeling with logarithmic equations

- Use the Pythagorean Theorem
- Work with circles by
- Finding the equations of circles
- Graphing circles

- Solve applications relevant to course content

**General Education Learning Values & Outcomes**

Revised August 2008 and affects outlines for 2008 year 1 and later.

2. Critical Thinking

*Definition:*
The ability to think critically about the nature of knowledge within a discipline and about the
ways in which that knowledge is constructed and validated and to be sensitive to the ways these
processes often vary among disciplines.

*Outcomes:* Students will be able to . . .

2.1 Identify and express concepts, terms, and facts related to a specific discipline.

8. Mathematical Reasoning

*Definition:*
Understanding and applying concepts of mathematics and logical reasoning in a variety of contexts, both academic and non-academic.

*Outcomes:* Students will be able to . . .

8.1 Analyze problems to determine what mathematical principles apply.

8.2 Correctly apply logical reasoning and mathematical principles to solve problems.

8.3 Interpret information and reasoning expressed mathematically (for example in spreadsheets,
diagrams, charts, formulas, etc.).

8.4 Communicate mathematical information effectively.

10. Technology

*Definition:*
Understanding the role of technology in society and using technology appropriately and effectively.

*Outcomes: *Students will be able to . . .

10.3 Use technology appropriate to the context and task to effectively retrieve
and manage information, solve problems, and facilitate communication.

**Course Contents**

- Logarithms
- Functions
- Properties
- Solving equations
- Graphing
- Common and natural logarithms

- Absolute values
- Rational expressions
- Simplifying
- Adding, subtracting, multiplying and dividing
- Simplifying complex rational expressions

- Rational equations
- Finding the domain of rational functions
- Solving rational equations
- Similar triangles
- Variation

- Radical expressions
- Simplifying
- Adding, subtracting, multiplying and dividing
- Rationalizing numerators and denominators

- Radical equations
- Solve radical equations
- Graphing radical functions

- Complex numbers
- Conjugates
- Adding, subtracting, multiplying, and dividing

- Mathematical modeling
- Determining a quadratic equation
- Determining an exponential equation

- Pythagorean Theorem
- Distance Formula
- Circles
- Finding equations of circles
- Graphing circles