College Algebra

Course Number: MTH 111
Transcript Title: College Algebra
Created: September 1, 2012
Updated: August 15, 2019
Total Credits: 5
Lecture Hours: 50
Lecture / Lab Hours: 0
Lab Hours: 0
Satisfies Cultural Literacy requirement: No
Satisfies General Education requirement: Yes
Grading options: A-F (default), P-NP, audit
Repeats available for credit: 0

Prerequisites

MTH 95 or equivalent placement test scores

Prerequisite / Concurrent

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 test scores. Prerequisite/concurrent: WR 121. Audit available.

Intended Outcomes

Upon successful completion students should be able to:

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

Alignment with Institutional Core 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, Core Learning Outcomes (CLOs) require a clear definition of instructional strategies, evidence of recurrent instruction, and employment of several assessment modes.

Major Designation

  1. The outcome is addressed recurrently in the curriculum, regularly enough to establish a thorough understanding.
  2. 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

  1. The outcome is addressed adequately in the curriculum, establishing fundamental understanding.
  2. 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.

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 Activities and Design

The determination of teaching strategies used in the delivery of outcomes is generally left to the discretion of the instructor. Here are some strategies that you might consider when designing your course: lecture, small group/forum discussion, flipped classroom, dyads, oral presentation, role play, simulation scenarios, group projects, service learning projects, hands-on lab, peer review/workshops, cooperative learning (jigsaw, fishbowl), inquiry based instruction, differentiated instruction (learning centers), graphic organizers, etc.

Course Content (Themes, Concepts, Issues and Skills)

  1. Functions
    • Function Notation
    • Domain and Range
    • Composition of Functions
    • Transformation of Functions
    • Inverse Functions
  2. Exponential functions and equations
    • Graphs
    • Solving equations involving exponentials
    • Applications
  3. Logarithmic functions and equations
    • Graphs
    • Properties
    • Solving equations involving logarithms
    • Modeling
  4. Polynomial functions
    • Power Functions
    • Linear Functions
    • Quadratic Functions
    • Graphs
    • Features of polynomial functions
  5. Rational functions
    • Graphs
    • Features of rational functions
  6. Technology
    • Use of Scientific/Graphing calculators and/or other appropriate mathematical technology.

Department Notes

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