# College Algebra

- Course Number:
- MTH 111
- Transcript Title:
- College Algebra
- Created:
- Aug 15, 2022
- Updated:
- Aug 15, 2022
- Total Credits:
- 4
- Lecture Hours:
- 30
- Lecture / Lab Hours:
- 20
- Lab Hours:
- 0
- Satisfies Cultural Literacy requirement:
- No
- Satisfies General Education requirement:
- Yes
- Grading Options
- A-F, P/NP, Audit
- Default Grading Options
- A-F
- Repeats available for credit:
- 0

## Course Description

Explores relations and functions graphically, numerically, symbolically, and verbally. Examines exponential, logarithmic, power, polynomial, and rational functions. Investigates applications from a variety of perspectives. Prerequisite: MTH 95 or equivalent placement. Prerequisite/concurrent: WR 121. Audit available.

## Course Outcomes

Upon successful completion students should be able to:

- Model non-trivial, real world phenomena using multiple mathematical approaches and to interpret results.
- Demonstrate mastery of exponential, logarithmic, polynomial, power, and rational functions.
- Accurately compute results using the technology, algebra, and functions.
- Communicate results mathematically and in writing.

## Alignment with Institutional Learning Outcomes

- Major
- 1. Communicate effectively using appropriate reading, writing, listening, and speaking skills. (Communication)
- Major
- 2. Creatively solve problems by using relevant methods of research, personal reflection, reasoning, and evaluation of information. (Critical thinking and Problem-Solving)
- Major
- 3. Extract, interpret, evaluate, communicate, and apply quantitative information and methods to solve problems, evaluate claims, and support decisions in their academic, professional and private lives. (Quantitative Literacy)
- Not Addressed
- 4. Use an understanding of cultural differences to constructively address issues that arise in the workplace and community. (Cultural Awareness)
- Minor
- 5. Recognize the consequences of human activity upon our social and natural world. (Community and Environmental Responsibility)

To establish an intentional learning environment, Institutional Learning Outcomes (ILOs) require a clear definition of instructional strategies, evidence of recurrent instruction, and employment of several assessment modes.

### Major Designation

- The outcome is addressed recurrently in the curriculum, regularly enough to establish a thorough understanding.
- Students can demonstrate and are assessed on a thorough understanding of the outcome.
- The course includes at least one assignment that can be assessed by applying the appropriate CLO rubric.

### Minor Designation

- The outcome is addressed adequately in the curriculum, establishing fundamental understanding.
- Students can demonstrate and are assessed on a fundamental understanding of the outcome.
- The course includes at least one assignment that can be assessed by applying the appropriate CLO rubric.

## Suggested Outcome Assessment Strategies

At least one project plus some combination of the following:

- Class participation
- Group projects
- Presentations
- Portfolios
- Research papers
- Homework assignments
- Written paper
- Quizzes
- Exams
- Other assessments of the instructors choosing

## Course Content

**Outcome #1:** Model non-trivial, real world phenomena using multiple mathematical approaches and to interpret results.

- Exponential growth, decay functions and their equations
- Percentage growth/decay
- Continuous growth/decay
- Compounding interest

- Linear applications
- Population growth
- Graphing functions
- Appropriate axis labeling

- Composition of functions
- Inverse of functions
- Rate of change for any given function
- Given two points
- Given the interval
- Given a graph

**Outcome #2:** Demonstrate mastery of exponential, logarithmic, polynomial, power, and rational functions.

- Create appropriate mathematical models given 2 points
- Recognize when different functions are being asked for, exponential vs linear

- Create appropriate mathematical models (equations) given a graph
- Describe the various features of the function
- Domain
- Range
- Inflections
- Concavity
- Increase/decrease

**Outcome #3:** Accurately compute results using the technology, algebra, and functions.

- Construct and interpret graphical displays using technology.
- Constructing and interpreting meaningful labels
- Find the reasonable domain and range based on the problem.

**Outcome #4:** Communicate results mathematically and in writing

- Interval notation
- Set notation
- Appropriate function notation

## Suggested Texts and Materials

Lippman, D. & Rasmussen,M. *Precalculus 1: An Investigation of Functions,* Edition 2.2. The text is open source and available online at: https://www.opentextbookstore.com/precalc/2.2/Precalc1.pdf

## Department Notes

Word problems are to be answered using complete sentences and include appropriate units.