Skip to Content

College Algebra

Course Number: MTH 111
Transcript Title: College Algebra
Created: September 1, 2012
Updated: June 19, 2015
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
Approved delivery mode:

Prerequisites

MTH 95, RD 115, and WR 115, or equivalent placement

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. Prerequisites: WR 115, RD 115 and MTH 95 or equivalent placement test scores. 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

In-depth 1. Communicate effectively using appropriate reading, writing, listening, and speaking skills. (Communication)

In-depth

2. Creatively solve problems by using relevant methods of research, personal reflection, reasoning, and evaluation of information. (Critical thinking and Problem-Solving)

In-depth

3. Apply the knowledge, skills and abilities to enter and succeed in a defined profession or advanced academic program. (Professional Competence)

Not Addressed

4. Appreciate cultural diversity and constructively address issues that arise out of cultural differences in the workplace and community. (Cultural Awareness)

Minimally

5. Recognize the consequences of human activity upon our social and natural world. (Community and Environmental Responsibility)

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

This course will be delivered through a combination of lecture and student activities including group and individual problem solving during class. Emphasis is to be given to applications from outside the mathematics classroom. Applications will come from the broadest possible range of disciplines.

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.